Find the missing side in each triangle using any method.
AC has a length of ____ units. DE has a length of ____ units.

Answers

Answer 1
Is there a photo to this question ?

Related Questions

Question 1: 10 pts

A triangle has a base length of 2ac² and a height 6 centimeters more than the base

length. Find the area of the triangle if a = 4 and c = 2.

608 cm²

224 cm²

1,216 cm²

576 cm²

Answers

The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²

What is the Area of a Triangle?

Area = 1/2(base)(height).

Given the parameters:

Base length = 2ac² cmHeight = 2ac² + 6 cm

If a = 4 and c = 2, then:

Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)

Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)

Area = 1/2(32)(38)

Area = 608 cm²

Learn more about the area of a triangle on:

https://brainly.com/question/21735282

You run 3 laps around a rectangular field. The field is 100 meters long and 97 meters wide. How many meters do you run?

Answers

The distance around the rectangular field can be calculated using the formula:

distance = 2(length + width)

In this case, the length is 100 meters and the width is 97 meters. So the distance around the field is:

distance = 2(100 + 97) = 2(197) = 394 meters

Since you run 3 laps around the field, the total distance you run is:

total distance = 3 × distance around the field
total distance = 3 × 394 meters
total distance = 1182 meters

Therefore, you run 1182 meters in total.

what will be the range of the random numbers generated by the following code snippet? rand() % 50 5;

Answers

The given function rand() % 50 + 5  will generate random numbers in the range of 5 to 54 inclusive.

The code snippet you provided contains a syntax error.

It seems like there is a typo between the '%' and '5' characters.

Assume that it meant to write,

rand() % 50 + 5;

Assuming that rand() function generates a random integer between 0 and RAND_MAX

Which may vary depending on the implementation.

The expression rand() % 50 will generate a random integer between 0 and 49 inclusive.

Then, adding 5 to the result will shift the range of the generated numbers up by 5.

Producing a random integer between 5 and 54 inclusive.

Therefore, the range of the random numbers generated by the code snippet rand() % 50 + 5 will be from 5 to 54 inclusive.

learn more about range here

brainly.com/question/24171161

#SPJ4

The sides of a triangle have lengths
7.5,11
, and
x
. If
x
is an integer, what is the least possible value of
x
? A. 1 B. 2 C. 3 D. 4 E. 5

Answers

If x is an integer, the least possible value of x is 4. So the option D is correct.

The triangle's third side should be less than the sum of the other two sides and more than the difference of the other two sides.

11 - 7.5 < x < 11 + 7.5

Simplify

3.5 < x < 18.5

So the value of the x is between 3.5 and 18.5.

From the option the value 4 and 5 lies between 3.5 and 18.5.

As we have to determine the least possible value of x, so the value of x should be 4. So the option D is correct.

To learn more about triangle link is here

brainly.com/question/29083884

#SPJ4

The complete question is:

The sides of a triangle have lengths 7.5, 11, and x. If x is an integer, what is the least possible value of x?

A. 1

B. 2

C. 3

D. 4

E. 5

Proofs help ASAP…….$;$3$3

Answers

IM TRYING TO SOLVE THIS THE ONLY THING I GOT RIGHT NOW IS a to d is 180

After solving the problem Is the statement true or false

Answers

Answer:

True

Step-by-step explanation:

Since x = 3 since we are given that f(3) = 16, x = 3.

The equation is:

[tex]f(x) = x^{2} + 2x + 1[/tex]

and x = 3, we can easily sustitute x with 3. When we do so, our equation will look like:

[tex]f(3) = 3^{2} + 2(3) + 1[/tex]

Now, we will solve.

3^2 is = 9

2(3) = 6

Now, we will plug into the equation:

[tex]f(3) = 9 + 6 + 1[/tex]

Combine like terms (constants)

[tex]f(3) = 16[/tex]

LI Annexure A shows Rhandzu's grade 11 school timetable for 2023. Learners are given 5 minutes to change from one lesson to the other. Use ANNEXURE A to answer the questions that follow. 1.1.1 Determine how l
ong the second break is. 1.1.2 How many subjects is Rhandzu doing? 1.1.3 Determine the number of days in an eight-day cycle that Rhandzu has Mathematical Literacy. Explain why it is important to schedule breaks on the time-table. 1.1.4​

Answers

The answer of the given question based on determining the second break in the break is  1.1.1 The second break is from 11:25 AM to 11:40 AM, which means it is 15 minutes long , 1.1.2 Rhandzu is doing 8 subjects , Rhandzu has Mathematical Literacy on Day 3 and Day 7, which means it is a 4-day cycle.

What is Sepedi Home Language?

Sepedi is  Bantu language spoken in South Africa by Pedi people. It is one of the 11 official languages of South Africa and is primarily spoken in  northern parts of  country, like Limpopo, Gauteng, and Mpumalanga provinces.

Sepedi is also known as Sesotho sa Leboa and is closely related to Sesotho (Southern Sotho) and Setswana (Tswana). Sepedi Home Language refers to  study of Sepedi as  first language or mother tongue in South African schools. It is an important subject in South African education system, as it helps to preserve and promote use of indigenous languages and cultural heritage.

1.1.1 The second break is from 11:25 AM to 11:40 AM, which means it is 15 minutes long.

1.1.2 Rhandzu is doing 8 subjects, which are English Home Language, Mathematics, Life Orientation, Physical Sciences, Life Sciences, Agricultural Sciences, Mathematical Literacy, and Sepedi Home Language.

1.1.3 Rhandzu has Mathematical Literacy on Day 3 and Day 7, which means it is a 4-day cycle. Therefore, in an eight-day cycle, Rhandzu would have Mathematical Literacy on Day 3, Day 7, Day 3 again, and Day 7 again.

It is important to schedule breaks on the time-table because they allow students to rest and recharge between lessons. Breaks can also help students to stay focused and engaged during lessons by giving them time to process and reflect on what they have learned. Additionally, breaks can provide opportunities for social interaction and physical activity, which can have a positive impact on students' well-being and academic performance.

To know more about Provinces visit:

https://brainly.com/question/30387172

#SPJ1

The second break is from 11:25 AM to 11:40 AM, which means it is 15 minutes long , Rhandzu is doing 8 subjects , Rhandzu has Mathematical Literacy on Day 3 and Day 7, which means it is a 4-day cycle.

What is Sepedi Home Language?

Sepedi is  Bantu language spoken in South Africa by Pedi people. It is one of the 11 official languages of South Africa and is primarily spoken in  northern parts of  country, like Limpopo, Gauteng, and Mpumalanga provinces.

Sepedi is also known as Sesotho sa Leboa and is closely related to Sesotho (Southern Sotho) and Setswana (Tswana). Sepedi Home Language refers to  study of Sepedi as  first language or mother tongue in South African schools. It is an important subject in South African education system, as it helps to preserve and promote use of indigenous languages and cultural heritage.

1.1.1 The second break is from 11:25 AM to 11:40 AM, which means it is 15 minutes long.

1.1.2 Rhandzu is doing 8 subjects, which are English Home Language, Mathematics, Life Orientation, Physical Sciences, Life Sciences, Agricultural Sciences, Mathematical Literacy, and Sepedi Home Language.

1.1.3 Rhandzu has Mathematical Literacy on Day 3 and Day 7, which means it is a 4-day cycle. Therefore, in an eight-day cycle, Rhandzu would have Mathematical Literacy on Day 3, Day 7, Day 3 again, and Day 7 again.

It is important to schedule breaks on the time-table because they allow students to rest and recharge between lessons. Breaks can also help students to stay focused and engaged during lessons by giving them time to process and reflect on what they have learned. Additionally, breaks can provide opportunities for social interaction and physical activity, which can have a positive impact on students' well-being and academic performance.

To know more about second break visit:

https://brainly.com/question/24130942

#SPJ1

A boat is heading towards a lighthouse, whose beacon-light is 148 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 8 degrees. What is the ships horizontal distance from the lighthouse(and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

Answers

We can use trigonometry to solve this problem. Let's call the horizontal distance from the boat to the lighthouse "x". We can use the tangent function to find x:

tangent(8 degrees) = opposite / adjacent

tangent(8 degrees) = 148 / x

To solve for x, we can rearrange the equation:

x = 148 / tangent(8 degrees)

x ≈ 1041.87 feet

So the ship's horizontal distance from the lighthouse (and the shore) is approximately 1041.87 feet or 1041.87 rounded to the nearest hundredth of a foot if necessary.

Answer:

Your answer is 1053.07

Hope I helped!

Step-by-step explanation:

If p is a positive integer, then p(p + 1)(p − 1) is always divisible by

F. 7
G. 5
H. 4
J. 3
K. None of these

Answers

We can see that p(p + 1)(p − 1) is not always divisible by 7, but it is always divisible by 5, 4, and 3. Thus, the correct answer is (G) 5.

What is positive integer?

A positive integer is a whole number greater than zero. In other words, it is a number that can be written without any fractional or decimal components, and is larger than zero. Positive integers are commonly denoted by the symbol "N" or "Z+".

What is negative integers?

A negative integer is a whole number less than zero. In other words, it is a number that can be written without any fractional or decimal components, and is smaller than zero. Negative integers are commonly denoted by the symbol "Z−".

In the given question,

We can simplify p(p + 1)(p − 1) as follows:

p(p + 1)(p − 1) = p(p² - 1) = p³- p

Now, we can consider the remainders when p is divided by each of the answer choices:

F. 7: If p = 7, then p³- p = 7³ - 7 = 342, which is not divisible by 7.

G. 5: If p = 5, then p³ - p = 5³ - 5 = 120, which is divisible by 5.

H. 4: If p = 4, then p³ - p = 4³ - 4 = 60, which is divisible by 4.

J. 3: If p = 3, then p³ - p = 3³ - 3 = 24, which is divisible by 3.

Therefore, we can see that p(p + 1)(p − 1) is not always divisible by 7, but it is always divisible by 5, 4, and 3.

Thus, the correct answer is (G) 5.

To know more about positive integers, visit:

https://brainly.com/question/18380011

#SPJ1

right triangle that i’m confused on please help

Answers

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

1. Investigations have revealed that 60% of the road accident deaths occurred on highways
and 40% on rural roads. If out of a sample 100 accidents investigated, the number of accidents
on highways was 80 and rural roads 20. Determine the number of accidents on highways and
rural roads after 4 years.

Answers

Answer: To determine the number of accidents on highways and rural roads after 4 years, we need more information. The given data only tells us about the distribution of accidents in a sample of 100 accidents investigated, but it doesn't provide any information about the rate of change or trend of accidents over time.

Assuming that the rate of accidents on highways and rural roads remains the same, we can make a projection based on the given data. If 60% of the road accident deaths occur on highways and 40% on rural roads, we can estimate the number of accidents on highways and rural roads after 4 years as follows:

Number of accidents on highways after 4 years = 80 * (100/60) = 133.33 (rounded to 133)

Number of accidents on rural roads after 4 years = 20 * (100/40) = 50

Note that this is only a projection based on the assumption that the rate of accidents remains the same. In reality, the number of accidents can vary depending on various factors such as changes in traffic volume, weather conditions, road infrastructure, and driver behavior, among others. Therefore, this projection should be taken as an estimate and not as an accurate prediction.

Step-by-step explanation:

Question 15 (2 points)
A standard deck of cards contains 4 suits of the same 13 cards. The contents of a
standard deck are shown below:

Standard deck of 52 cards
4 suits (CLUBS SPADES, HEARTS, DIAMONDS)
13 CLUBS
13 SPADES
13 HEARTS
DIAMONDS

If a card is drawn at random from the deck, what is the probability it is a jack or ten?

0
4/52- 1/13
8/52 = 2/13
48/52- 12/13

Answers

Answer: 2/13

Step-by-step explanation:

There are four jacks and four tens in a standard deck of 52 cards. However, the jack of spades and the ten of spades are counted twice since they are both a jack and a ten. Therefore, there are 8 cards that are either a jack or a ten, and the probability of drawing one of these cards at random is:

P(Jack or Ten) = 8/52 = 2/13

So the answer is 2/13.

Step-by-step explanation:

a probability is airways the ratio

desired cases / totally possible cases

in each of the 4 suits there is one Jack and one 10.

that means in the whole deck of cards we have

4×2 = 8 desired cases.

the totally possible cases are the whole deck = 52.

so, the probability to draw a Jack or a Ten is

8/52 = 2/13

Translate the phrase into an algebraic expression.
The product of 9 and x

Answers

The algebraic expression for the product of 9 and x is 9x. This can be expressed in steps as follows:

Step 1: Identify the values that are being multiplied together. In this case it is 9 and x.

Step 2: Write the two values side by side and place a multiplication sign between them.

Step 3: The algebraic expression for the product of 9 and x is then written as 9x.

draw a new of a square pyramid for which the base is 2 units long and the height of each triangular face is 5 units>

Answers

After answering the provided question, we can conclude that slant height  of pyramid  [tex]= \sqrt((2/2)^2 + 5^2) = \sqrt(29) = 5.39 units.[/tex]

What exactly is a pyramid?

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The edges of the base form triangle faces known as sides, which connect to the top.

            /\

          /    \

        /         \

      /______\

         5

         |

         |

         |

         |

         |

         2

The square pyramid in the diagram above has a two-unit-long square base and four five-unit-high triangular faces. The Pythagorean theorem can be used to calculate the slant height of each triangular face:

slant height [tex]= \sqrt((2/2)^2 + 5^2) = \sqrt(29) = 5.39 units.[/tex]

To know more about pyramid visit:

https://brainly.com/question/17615619

#SPJ1

please help fast!! brainliest!! Find the slope of a line perpendicular to the line whose equation is 4x − 6y = −24
Fully simplify your answer.

Answers

The slope of the sole sequence's perpendicular line is [tex]-\frac{3}{2}[/tex].

What is the perpendicular direction?

As two lines meet at right angles, the word "perpendicular" refers to an angle. Every direction, including up and down, across, and side to side, can be faced by a pair of perpendicular lines.

Is a straight line considered to be perpendicular?

A perpendicular is a straight line in mathematics that forms a correct angle (90 °) with another line. In other words, two lines are parallel to one another if they connect at a right angle.

[tex]y = mx + b[/tex], where [tex]m[/tex] is the slope:

[tex]4x - 6y = -24[/tex]

[tex]-6y = -4x - 24[/tex]

[tex]y = (4/6)x + 4[/tex]

[tex]y = (2/3)x + 4[/tex]

So the slope of the given line is [tex]2/3[/tex].

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of [tex]2/3[/tex]:

[tex]-1/(2/3) = -3/2[/tex]

Therefore, the slope of a line perpendicular to the given line is [tex]-\frac{3}{2}[/tex].

To know more about perpendicular visit:

https://brainly.com/question/11707949

#SPJ1

The table below shows a set of dataWhich statement about the table is true?

Answers

The correct option A) There is a cluster, and as x decreases, y increases.

The table represents a set of data containing two variables, x and y. By analyzing the data, we can observe a cluster of values around x = 4 with corresponding y values in the range of 42-45. As we move towards smaller x values, there is a general trend of increasing y values. However, there are a few outliers. Based on these observations, statement A is the most accurate description of the data in the table. It is important to note that the accuracy of the statement is limited to the given data, and further analysis or additional data may reveal a different trend or pattern.

Learn more about variables here: brainly.com/question/2466865

#SPJ4

Complete question:

The table below shows a set of data. Which statement about the table is true?

x: 1.6, 1.9, 2.3, 3.4, 3.8, 4.2, 4.3, 4.6, 4.8.

y: 39, 38, 42, 40, 41, 44, 42, 45, 44

Which statement about the table is true?

A) There is a cluster, and as x decreases, y increases.

B) There is a cluster, and as x increases, y increases.

C) There is not a cluster, and as x increases, y increases.

D) There is not a cluster, and as x decreases, y increases.

GUYS PLEASE HELP MATH!!

Answers

Answer:

4.3

Step-by-step explanation:

Drag each tile to its equivalent measure, rounded to the nearest tenth.
Options: 19.8, 10.2, 22.7, 15.4

Measure Equivalent
4 in. _____ Cm
7 kg _____lb
6 gal _____L
65 ft _____ m

Answers

The correct matches are: 4 in. → 10.2 cm   ,   7 kg → 15.4 lb

6 gal → 22.7 L   and  65 ft → 19.8 m.

What are conversions?

Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.

For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.

Here are the conversions:

1 inch = 2.54 cm (approx.)

1 kg = 2.205 lb (approx.)

1 gal = 3.785 L (approx.)

1 ft = 0.3048 m (approx.)

Using these conversions, we can find the equivalent measures:

4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm

7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb

6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L

65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m

To know more about equivalent measures visit:

https://brainly.com/question/29156458

#SPJ1

To purchase $13200 worth of machinery for her business, Nicole made a down payment of 1200 and took out a business loan for the rest. After 3 years of paying monthly payments of 365.07, she finally paid off the loan.


(a) What was the total amount Nicole ended up paying for the machinery (including the down payment and monthly payments)?

(b) How much interest did Nicole pay on the loan?

Answers

The answer of the given question based on the compound interest to find  total amount Nicole ended up paying for the machinery and the interest did Nicole pay on the loan is (A) the total amount Nicole ended up paying for the machinery is $14,342.52. (B) Nicole paid $2,342.52 in interest on the loan.

What is Compound interest?

Compound interest is type of interest that is calculated not only on initial principal amount but also on accumulated interest from previous periods. In other words,  interest earned in each period is added to  principal amount, and  interest for the next period is calculated on  new, larger principal amount.

Compound interest can be thought of as "interest on interest" and is used in many financial transactions, like loans, investments, and savings accounts.

(a) The total amount Nicole ended up paying for the machinery is the sum of her down payment and all of her monthly loan payments over the 3-year period. We can calculate this as follows:

Total amount paid = Down payment + (Monthly payment x Number of payments)

Total amount paid = 1200 + (365.07 x 36)

Total amount paid = 1200 + 13142.52

Total amount paid = $14,342.52

Therefore, the total amount Nicole ended up paying for the machinery is $14,342.52.

(b) To calculate how much interest Nicole paid on the loan, we first need to calculate the total amount of the loan. We can do this by subtracting her down payment from the total cost of the machinery:

Total loan amount = Total cost of machinery - Down payment

Total loan amount = $13,200 - $1,200

Total loan amount = $12,000

Next, we can calculate the total amount of interest paid over the 3-year period by subtracting the total loan amount from the total amount paid:

Total interest paid = Total amount paid - Total loan amount

Total interest paid = $14,342.52 - $12,000

Total interest paid = $2,342.52

Therefore, Nicole paid $2,342.52 in interest on the loan.

To know more about Principal visit:

https://brainly.com/question/2241772

#SPJ1

On a certain weekday, the rate at which vehicles cross a bridge is modeled by the differentiable function R for 0 ≤ t ≤ 12, where R(t) is measured in vehicles per hour and t is the number of hours since 7:00 a.m. (t = 0). Values of R(t) for selected values of t are given in the table above.

Answers

The approximate value of R'(5) is -716 vehicles per hour per hour.

To approximate Rʹ(5), we can use the formula for the average rate of change

Rʹ(5) ≈ (R(6) - R(4))/(6-4)

We use the values given in the table to get

R(6) = 3010 vehicles per hour

R(4) = 3442 vehicles per hour

Therefore, Rʹ(5) ≈ (3010 - 3442)/(6-4) = -716 vehicles per hour per hour.

So, the approximate rate of change of the rate at which vehicles cross the bridge at 5:00 a.m. is -716 vehicles per hour per hour. This means that the rate at which vehicles cross the bridge is decreasing at a rate of 716 vehicles per hour every hour around 5:00 a.m.

Learn more about average rate of change here

brainly.com/question/28744270

#SPJ4

The given question is incomplete, the complete question is:

On a certain weekday, the rate at which vehicles cross a bridge is modeled by the differentiable function R for 0 ≤ t ≤ 12, where R(t) is measured in vehicles per hour and t is the number of hours since 7:00 a.m. (t = 0). Values of R(t) for selected values of t are given in the table above. t(hours) 0 2 4 6 8 10 12 R(t) (vehicle per hours ) 2935 3653 3442 3010 3604 1986 2201 . Use the data in the table to approximate Rʹ(5)

3. Factor 72x³ +72x² +18x.

Answers

The expression's fully factored form is:[tex]72x^{3} + 72x^{2} + 18x = 18x(4x^{2} + 1)(x + 1)[/tex]

Factored value is what?

Factored Value, also known as "trended value," is the base annual value plus a yearly inflation factor based on a variation in the cost if live that is not to exceed 2% and is set by the State Agency of Equalization.

What is a factored expression example?

Rewriting an expression as the sum of factors is referred to as factor expressions or factoring. For instance, 3x + 12y may be expressed as 3 (x + 4y), which is a straightforward equation. The computations get simpler in this method. Three or (x + 4y) were examples of factors.

We can factor out [tex]18x[/tex] from each term to simplify the expression:

[tex]72x^{3} + 72x^{2} + 18x = 18x(4x^{3} + 4x^{2} + 1)[/tex]

An expression enclosed in parentheses can now be calculated by grouping or factoring.

[tex]4x^{3} + 4x^{2} + 1 = (4x^{2} + 1)(x + 1)[/tex]

The expression's properly factored version has the following result,

[tex]72x^{3} + 72x^{2} + 18x = 18x(4x^{2} + 1)(x + 1)[/tex]

To know more about factored visit:

https://brainly.com/question/20168177

#SPJ1

The difference between a number and -17 is equal to the product of the number and 25

Answers

Answer:

Let's call the unknown number "x".

According to the problem:

x - (-17) = 25x

Simplifying:

x + 17 = 25x

Subtracting x from both sides:

17 = 24x

Dividing by 24:

x = 17/24

Therefore, the unknown number is 17/24.

How do I solve? I don’t understand

Answers

Step-by-step explanation:

Use the 110 to find the 70 degree angle   (they form a straight line = 180°)

   then 70 + 64 + R angle = 180°    ( sum of angles of a triangle)

        then  :    R angle = 46°

then the R angle + 2x-10 = 90°    ( because the two lines are perpendicular)

(2x -10)°   + 46 °  = 90 °

x = 27

Determine the interval(s) over which the graph of f left parenthesis x right parenthesis equals short dash x to the power of 6 minus 6 x to the power of 5 plus 12 x minus 2 is concave up or concave down.

Answers

Answer:

gdiduusuehfuehvv

Step-by-step explanation:

bbzbhshxhdhhd are the best and my mom I WINNNNNN you want it to be over with you guys to come in and your mom are doing ghhdhhsuwuwhsh and your family are doing well and your family are doing well and your family are doing well and your family are doing well and your family and my wife was the best and I WINNNNNN and my mom are doing ghhdhhsuwuwhsh and what is the only ones I WINNNNNN with the kids I WINNNNNN and I will be over and I can do i and eat early for you and Darshanie and I WINNNNNN and my friend and your mom and my mom ever had a great day I love ever and your mom are the kids I will get you a great mom and I will send you a link and I WINNNNNN with the only ones I WINNNNNN with you don't need me I can get it and I will be over and your mom and your mom I will send it out tomorrow night I will send it out tomorrow night with you guys and I can send the best ones that have to do i I will send you and Darshanie and your mom I will send it and your family and I WINNNNNN and my friend are doing errands to run out to do i you guys and I WINNNNNN you want me I will send you and Darshanie is done now we have a great day for a great mom I will be over there and I WINNNNNN you and everyone and my friend and my friend and what time do the kids have a whole new world we live together I will be home tomorrow night with the only one that has to wait until the way home tomorrow morning to run out of wo you guys to run out with the best ones that w with the kids I will get you guys want me when we good day for you it

find the absolute minimuym value of the function over the clsoed triangular region d having vertices g

Answers

The absolute maximum is 56 and absolute minimum values is 24 of a function f given by f(x) = 2x³−15x² + 36x +1 on the interval [1, 5] .

A function is defined as a relationship between a set of inputs, each having an output. In short, a function is a relationship between inputs where each input relates to exactly one output. Each function has a domain and a password domain or scope. Functions are usually denoted by f(x), where x is the input.

Given that:

f(x) = 2x³ −15x²+ 36x+ 1

f'(x) = 6x² −30x + 36

Putting f'(x) = 0

⇒ 6x² − 30x+ 36 = 0

⇒ x² −5x+6 = 0

⇒ (x−2)(x−3) = 0

⇒ x=2 or 3

We are given interval [1,5]

Hence, calculating f(x) at 2, 3, 1, 5,

f(2) = 29

f(3) = 28

f(1) = 24

f(5) = 56

Hence, absolute maximum value is 56 at x=5.

Absolute minimum value is 24 at x=1.

Complete Question:

Find the absolute maximum and absolute minimum values  of a function f given by f(x)=2x³−15x² + 36x +1 on the interval [1, 5] .

Learn more about Function:

https://brainly.com/question/12431044

#SPJ4

valuate the triple integral. $\int\!\!\int\!\!\int e {\color{red}} y \,dv$, where e is bounded by the planes $ x

Answers

The final answer is $\frac{1}{12}$.

We need to evaluate the triple integral $\iiint e y , dv$ over the region $e$ bounded by the planes $x = 0$, $y = 0$, $z = 0$, $x + y + z = 1$, and $x + y = 2$.

To evaluate this triple integral, we can use the limits of integration obtained by considering the intersection of the planes. From the plane equations $x+y+z=1$ and $x+y=2$, we can solve for $z$ and $x$ in terms of $y$ to obtain the limits:

0≤z≤1−x−yand0≤x≤2−y.

Since $e$ is bounded by the planes $x=0$ and $y=0$, we have $0 \leq x \leq 2-y$ and $0 \leq y \leq 2$. Thus, we can set up the triple integral as follows:

Next, integrating with respect to $x$, we obtain∫

02[22−22]

02−∫ 02 [eyx− 2eyx 2 − 2ey 2 x​ ] 02−ydy.Simplifying this expression, we get

∫02(2−522+32)

.∫ 02​ (2ey− 25​ ey 2 + 2ey 3 )dy.

Evaluating the integral, we get the final answer of $\frac{1}{12}$.

Find out more about triple integral.

brainly.com/question/4110083

#SPJ4

question:-Evaluate the triple integral $\int!!\int!!\int e y ,dv$, where $e$ is bounded by the planes $x = 0$, $y = 0$, $z = 0$, $x + y + z = 1$ and $x + y = 2$.

what is the x intercept of the equation y=10x−32​

Answers

The x-intercept is (3.2, 0), and the y-intercept is (0, -32) if the equation of the line is y = 10x - 32.

Answer:  x= 3.2

Step-by-step explanation:

by graphing we can see where the line crosses the x axis at 3.2

I attached a graph to show you this method

to solve algebraically, y = 10x - 32 is your equation

put this in standard form ax + by = c

-10x + y = -32

to solve for x, substitute 0 for y and solve

-10x + 0 = -32

divide both sides by -10

-10/-10 x = -32/ -10

x = 3.2

In Problems 21 through 30, set up the appropriate form of a
particular solution yp, but do not determine the values of the
coefficients.y" – 2y' + 2y = et sin x = . =

Answers

The particular solution of Differential equation y" – 2y' + 2y = et sin x is yp = (1/2et - 1/2et cos(x))sin(x).

We assume the particular solution is of the form of given differential equation is

yp = (Aet + Bcos(t))sin(x) + (Cet + Dsin(t))cos(x)

where A, B, C, and D are constants to be determined.

Taking the first and second derivative of yp with respect to t:

yp' = Aet sin(x) - Bsin(t)sin(x) + Cet cos(x) + Dcos(t)cos(x)

yp'' = Aet sin(x) - Bcos(t)sin(x) - Cet sin(x) + Dsin(x)cos(t)

Substituting these into the differential equation and simplifying, we get:

(et sin x) = (A - C)et sin(x) + (B - D)cos(x)sin(t)

Since et sin x is not a solution to the homogeneous equation, the coefficients of et sin x and cos(x)sin(t) on both sides of the equation must be equal. Therefore:

A - C = 1 and B - D = 0

Solving for A, B, C, and D, we get:

A = 1/2, B = 0, C = -1/2, D = 0

So the particular solution is:

yp = (1/2et - 1/2et cos(x))sin(x)

To know more about Differential Equation:

https://brainly.com/question/2273154

#SPJ4

-6(4p+5) > 34-8p HELP ASAP

Answers

Answer:

p < -4

Step-by-step explanation:

-6(4p+5) > 34 - 8p

-24p - 30 > 34 - 8p

-16p - 30 > 34

-16p > 64

p < -4

i need the answer to this question

Answers

The measure of angle BAC is 55°, which is closest to option B (50°).

What is a tangent angle?

The ratio of the length of the side directly opposite an acute angle to the side directly adjacent to the angle is known as the tangent in trigonometry. Only triangles with straight angles can have this.

Let's give the angles shown in the diagram the following labels:

Angle ACD = 55°

Angle ABD = 35°

Angle BCD = 90°

To determine the size of angle ABC, we can use the knowledge that a triangle's total angles equal 180°. Because the straight line formed by angles ABD and BCD, we have:

[tex]Angle ABC = 180° - Angles ABD and BCD.[/tex]

[tex]Angle ABC = 180° - 35° - 90°Angle ABC = 55°[/tex]

Given that triangle ABC has two angles, we can use the knowledge that a triangle's total of angles equals 180° to determine the size of angle BAC:

[tex]Angle BAC = 180° - Angle ABC - Angle ACBAngle BAC = 180° - 55° - 70°Angle BAC = 55°[/tex]

To know more about angle visit:-
https://brainly.com/question/28451077

#SPJ1

It is most similar to option B (50°) when the angle BAC is 55°.

What is a tangent angle?

The tangent in trigonometry is the length of the side directly opposite an acute angle divided by the length of the side directly next to the angle.

This property can only be found in triangles with straight angles.

Let's give the angles shown in the diagram the following labels:

Angle ACD = 55°

Angle ABD = 35°

Angle BCD = 90°

We can use the fact that a triangle's total number of angles is 180° to calculate the size of angle ABC. due to the fact that the straight line created by angles ABD and BCD

Triangle ABC has two angles, so we can use the fact that a triangle's sum of angles is 180° to calculate the size of angle BAC.

Therefore, the BAC measurement is 55°, which is closest to option B's 50°.C is 55°, which is closest to option B (50°).

To know more about angle from the given link:-

brainly.com/question/28451077

#SPJ1

Other Questions
Please help me with my health assignment. We watched in the movie called "The Pursuit of Happyness". Discuss 3 challenges Chris faced in his life. Explain how these challenges contributed to achieving his goals. FILL IN THE BLANK. Project ____ management ensures that the project will satisfy the stated or implied needs for which it was undertaken.a. costb. timec. scoped. quality How many degrees are there in 5/8 of a circle an actively respiring bacterial culture is briefly incubated with [1-14c] glucose, and the glycolytic and citric acid cycle intermediates are isolated. where is the 14c in each of the intermediates listed below? consider only the initial incorporation of 14c, in the first pass of labeled glucose through the pathways. cyryl hikes a distance of 0.75 kilomiters in going to school every day draw a number line to show the distance During the current year, Ethan performs personal services as follows: 800 hours in his information technology consulting practice, 625 hours in a real estate development business, and 510 hours in a condominium leasing operation. He expects that losses will be realized from the two real estate ventures and that his consulting practice will show a profit. Ethan files a joint return with his spouse whose salary is $125,000. The income and losses from the following ventures are considered active and not subject to the passive activity loss limitations:A. Only the information technology consulting practice.B. Only the information technology consulting practice and the real C. estate development business.D. Only the information technology consulting practice and the condominium leasing operation.E. All three of the ventures are considered active and not subject to the passive activity loss limitations. Urgent Help! 100 points to whoever is willing ^-^Noise-canceling headphones have microphones to detect the ambient, or background, noise. They interpret those noises as sinusoidal functions. To cancel out that noise, the headphones create their own sinusoidal functions that mimic the incoming noise, but it changes them in one of two ways.1. The mimic function is the negative of the noise's function.2. The mimic function is the noise function shifted one-half period.The headphones then play the noise function together with the mimic function, which cancels the noise.Instructions Find the frequency of any musical note in hertz (Hz). Use the frequency to write f(x), the sine function for the note. For example, [tex]A_4[/tex] has a frequency of 440 Hz. In radians, we describe this note as y = sin(440(2x)) or y sin(880x) Graph the sine function for the chosen note. Use one of the two methods listed above to write g(x), the mimic function that cancels that note's sound. Graph that function. Write a third function, h(x), that is the sum of f(x) and g(x). Graph it. Use your three graphs to explain why g(x) cancels out f(x). A battery-powered toy car pushes a stuffed rabbit across the floor.Part ADraw a free-body diagram for a car (assume that it is moving from left to the right).Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.Part BDraw a free-body diagram for a rabbit.Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded. Seymore Corp. has the following number of shares of stock outstanding: Cumulative preferred stock, 8%, $100 par Common stock, $12 par 2,000 shares 20,000 shares Seymore will distribute $80,000 to the two classes of stockholders this year. Not counting the current year, the preferred stoc dividends are one year in arrears. Indicate whether each of the following statements is true or false. a) Preferred stockholders will receive $16,000 of cash dividends in the current year. b) After all required preferred dividends are paid, preferred and common stockholders will share the remaining dividend. c) Common stockholders will receive $48,000 of cash dividend in the current year. d) The amount of common dividends per share that stockholders will receive in the current year is $6.40. e) The amount of dividends in arrears is zero after the $80,000 of dividends have been paid. These taxes were aimed at the large numbers of immigrant miners drawn by the gold rush from which country? China. Russia. Ireland. Germany. Emily needs enough fabric for 3 hats, since she has half done already. If each hat requires1 2/7 feet of fabric how much will she need to make the 3 hats Choose the correct answer. fill in the blank. the bullwhip effect refers to the phenomenon when the variability in___to be substantially smaller than variability in___ suppose you needed to calculate the mass, in grams, of sodium in 1.5 grams of sodium chloride? which of the following equations allows you to correctly calculate the mass of sodium in 1.5 grams of sodium chloride.A. Mol NaCI / 58.44 g NaCI X mol Na / NaCI X 22.99 g Na / mol Na = B. 1.5 NaCI X mol NaCI / 58.44 g NaCI X 22.99 g Na / mol Na = C. 1.5 g NaCI X mol NaCI / 58.44 g NaCI X mol Na / mol NaCI X 22.99 g Na / mol Na = D. 1.5 g NaCI X mol NaCI / g NaCI X mol Na / mol NaCI X g Na / mol Na = Which of the following is not a "product cost" under absorption costing?A. Direct materialsB. Direct laborC. Variable manufacturing overheadD. Fixed manufacturing overheadE. None of these The accountant for Crusoe Company is preparing the company's statement of cash flows for the fiscal year just ended. The following information is available:Retained earnings balance at the beginning of the year $ 131,500Cash dividends declared for the year 51,500Proceeds from the sale of equipment 86,500Gain on the sale of equipment 8,100Cash dividends payable at the beginning of the year 23,500Cash dividends payable at the end of the year 26,600Net income for the year 97,500What is the ending balance for retained earnings?Multiple Choicea. $207,500.b. $177,500.c. $287,000.d. $185,000.e. $259,000. All the students in the sixth grade either purchased their lunch or brought their lunch from home on Monday. * 24% of the students purchased their lunch * 190 students brought their lunch from home. How many students are in the sixth grade? PLEASE HELP!!! THIS IS DUE TODAY!! What geographic difficulties do you think the Cherokee traveling the northern route, mostly on foot, might have faced? What is the measure of angle C? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. mC= Right triangle A B C, with right angle C B A. Side A B is three centimeters, side B C is four centimeters, and side C A is five centimeters. LOOK AT THE OTHER TWO QUESTIONS I POSTED AND THEN SOMEBODY ANSWER THIS PLEASE I NEED HELP WITH IT AND I WOULD APPRECIATE IT IF SOMEONE COULD HELP ME WITH THIS