Help todays the last day for a good grade so ima ask lots of questions bc its a long one

24.07 rounded to the nearest tenth is 24.1

Answer:

Base = 10 cm

Height = 6 cm

Step-by-step explanation:

Here is the formula for the area of a triangle.

 [tex]A=\frac{bh}{2}[/tex]

We are given

[tex]A=30[/tex]

[tex]b=h+4[/tex]

Replace all occurrences of [tex]b[/tex] with [tex]h+4[/tex] in each equation.

[tex](h+4)*\frac{h}{2} =30[/tex]

Apply the distributive property.

[tex]h(\frac{h}{2})+4(\frac{h}{2})=30[/tex]

[tex]\frac{h*h}{2}+4(\frac{h}{2})=30[/tex]

Use the power rule to combine exponents.

[tex]\frac{h^2}{2}+4(\frac{h}{2})=30[/tex]

Factor 2 out of 4 .

[tex]\frac{h^2}{2}+2(2)(\frac{h}{2})=30[/tex]

Cancel the common factor.

[tex]\frac{h^2}{2}+2h=30[/tex]

Solve for h.

Multiply each term in  [tex]\frac{h^2}{2}+2h=30[/tex]  by 2 to eliminate the fractions.

[tex]\frac{h^2}{2}*2+2h*2=30*2[/tex]

Simplify each term.

Cancel the common factor of 2.

[tex]h^2+2h*2=30*2[/tex]

[tex]h^2+4h=60[/tex]

Subtract 60 from both sides of the equation.

[tex]h^2+4h-60=0[/tex]

Factor using the AC method.

Consider the form [tex]x^2+bx+c[/tex] . Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex] . In this case, whose product is − 60 and whose sum is 4 .

−6, 10

Write the factored form using these integers.

[tex](h-6)(h+10)=0[/tex]

Set [tex]h-6[/tex] equal to 0 and solve for h.

Then add 6 to both sides of the equation.

[tex]h-6=0\\h=6[/tex]

Set [tex]h+10[/tex] equal to 0 and solve for h.

Then subtract 10 from both sides of the equation.

[tex]h+10=0\\h=-10[/tex]

The final solution is all the values that make [tex](h-6)(h+10)=0[/tex] true.

[tex]h=6,-10[/tex]

Given [tex]b=h+4[/tex]

Replace all occurrences of h with 6 in each equation.

[tex]b=6+4\\b=10\\h=6[/tex]

The range of possible lengths for the third side be

0 ft < x < 76 ft

0 ft < x < 33 ft

Given, two sides of a triangle

we have to find the range of possible length for the third side of the triangle.

a) 24 ft and 52 ft

given first side of the triangle be, 24 ft

and second side of the triangle be, 52 ft

as we know that the third side should be less than the sum of the remaining two sides of any triangle.

So, let the third side be x

x < 24 + 52

x < 76

Therefore, the third side should be less than 76 ft and obviously greater than 0 ft.

Range of the third side be, 0 ft < x < 76 ft

b) 16 ft and 17 ft

given first side of the triangle be, 16 ft

and second side of the triangle be, 17 ft

as we know that the third side should be less than the sum of the remaining two sides of any triangle.

So, let the third side be x

x < 16 + 17

x < 33

Therefore, the third side should be less than 33 ft and obviously greater than 0 ft.

Range of the third side be, 0 ft < x < 33 ft

Hence, the range of possible lengths for the third side be

0 ft < x < 76 ft

0 ft < x < 33 ft

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The length of side x in simplest radical form is √128/1 with a rational denominator of 1.

The triangle is given in the question which is a right triangle.

As per the given figure, we can determine the length of side x by the Pythagoras theorem.

According to Pythagoras's theorem,

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

8² + 8² = (x)²

64 + 64 = (x)²

(x)² = 128

x = √128

Hence, the required length of side x of the triangle is √128.

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To estimate the distance across the river, Delma can multiply the number of paces she takes by the length of each pace to find the total distance she walks.

For example, if Delma takes 27 paces and each of her paces is 14 inches long, she can estimate the distance she walks by performing the following calculation:

27 paces * 14 inches/pace = 378 inches

This means that Delma estimates the distance across the river to be 378 inches, or about 31.5 feet.

It's important to note that this is just an estimate, and the actual distance across the river may be slightly different due to factors such as the terrain or the accuracy of Delma's pacing.

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First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.

The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.

The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.

So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.

Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.

The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.

The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.

The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.

Therefore, the answer is Rs. 70187.

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Answer: p = 4.5

Step-by-step explanation:

12.4 - 4.5 = 7.9

Answer: p=4.5

Step-by-step explanation:

You do it like this: 12.4=7.9+p

12.4-7.9=p

p=4.5

Answer:

Tax = $3.84

Total = $51.84

Step-by-step explanation:

48 • 8%

48 • 8/100 = 3.84

48 + 3.84 = 51.84

Answer:

{12, 24 }

Step-by-step explanation:

4(j - 2) > 4(6 - 3j) ← distribute parenthesis on both sides

4j - 8 > 24 - 12j ( add 12j to both sides )

16j - 8 > 24 ( add 8 to both sides )

16j > 32 ( divide both sides by 16 )

j > 2

the only values from set S greater than 2 are 12 and 24 , so

{ 12, 24 } make the inequality true

Measure of other angle is 133 if Two angles form a linear pair. One angle measure is 47° more than the other.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. A linear pair is a pair of neighboring angles created by the intersection of two lines. 1 and 2 create a linear pair in the illustration. The same holds true for pairs 1, 2, 3, and 4. A linear pair's two angles are always supplementary, which means that the sum of their measurements is 180 degrees.

Given

Two angles form a linear pair.

One angle measure is 47° more than the other.

Other angle be x.

Sum of linear pair is 180.

x + 47 = 180

x = 180 - 47

x = 133

Measure of other angle is 133 if two angles form a linear pair. One angle measure is 47° more than the other.

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The formula for the cumulative probability of a Poisson distribution can be used to calculate the likelihood that there will be at most 2 reported car accidents over the course of a month:

Cumulative probability is equal to (number of events * e)/(average number of events per time period).

(Number of events / (-average number of events per time period)!)

In this instance, there are typically 0.05 events per time period (the likelihood that a car accident is reported at the intersection on any given day), and there are typically between 0 and 2 events per time period (at most 2 car accidents). With these values entered into the formula, we obtain:

Cumulative probability is equal to (0.05 * e(-0.05)) / 0, (0.05 * e(-0.05)) / 1, and (0.05 * e(-0.05)) / 2, respectively.

That amounts to:

Probability total = 1 + 0.05 + 0.0025

which translates to 1.0525 percent, or 105.25%. It's crucial to keep in mind that this probability exceeds 1, which is impossible. This is because the formula for cumulative probability makes the assumption that each event is independent, which means that the occurrence of one event has no bearing on the probability of the occurrence of another. The cumulative probability calculated using this formula may not accurately reflect the probability of at most 2 car accidents occurring throughout a month because in reality, the probability of a car accident occurring on a given day may be influenced by the number of car accidents that have already occurred. You would need to account for the dependencies between the events in order to calculate this probability precisely.

Answer:

equation of the line should be y=3x+4.

Step-by-step explanation:

I apologize if i'm wrong :)

Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

It's formula is:

[tex]h^{2} = p^{2} +b^{2}[/tex]

h1=30500 feet = 5.77 miles

d1= 50 miles

h2= 18000 feet = 3.4 miles

d2= 20 miles

for right angle triangle,

height = h1-h2 = 2.37 miles

distance  = 50-20 = 30 miles

plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]

=30.09 miles

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The large percentage obtained above will still not be a cause for celebration, because the observations demand a higher precision in the calculation results being obtained after running a logistic reg-session.

A precise calculation can be referred to or considered as a type of calculation, wherein the final results obtained are completely true and correct. Unlike approximate results, there is no scope of true and fair results in a precise calculation. Usually, rounding-off shall be avoided to obtained precise solutions at the end.

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Answer:

The number of minutes should be 68.

A cell phone plan costs $23.70 monthly for 700 minutes of talk time. It costs an additional $0.06 per minute for each minute over 700 minutes.

Getting e-mail access costs 20% of the price for 700 minutes of talk time. The total cost for all 6 months is $195.12.Equation and number of minutes:The equation is 195.12=6(0.06m+23.70+0.20(23.70))195.12 = 0.36m + 142.2 + 28.4424.48 = 0.36mm = 68 minutes

Answer:

9

Step-by-step explanation:

a.) cube root of 729

³√729

= 9

b.) look for a number that you will multiply thrice to get 729

which is 9 or u will use your calculator

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Dependent variable: t (total cost of the pizza)

Independent variable: x (number of extra toppings)

Equation: t = 10.50 + 1.50x

To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:

t = 10.50 + 1.50(3)

t = 10.50 + 4.50

t = 15.00

So the total cost of the pizza with 3 extra toppings is $15.00.

What is Dependent Variables?

The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.

What is Independent Variables?

Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.

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Answer:

10

Step-by-step explanation:

Using this equation,

l × w × h = v

We can simply substitute the numbers into the equation.

2 × 2 × 2 1/2 =?

(We know that the width is equal to 2 because it is a square.)

2 × 2 = 4,

4 × 2 1/2 = 10

The volume of the storage box is equal to 10.

Population standard deviation, level of significance are same.

Margin of error increased.

With increase in margin of error sample size decreases.

By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.

The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.

Population standard deviation, level of significance are same.

Margin of error increased.

Margin of error increases leads to decrease in the sample size

as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.

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The exponential function to show the growth in y years is P(1.2)^y

An exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

In this problem, this is an exponential growth since the rate increases.

Let;

The exponential function to represent this will be;

A = P(1 + r)^y

A = P(1 + 0.2)^y

A = P(1.2)^y

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The equation on indices that represents a true statement is B . 14 ⁰ x 14 ³ = 14 ³.

When multiplying indices , we follow the Law of Indices which states that when multiplying indices with the same base , we simply keep the base and add the indices . For division with the same base , we subtract the indices from each other .

The answer to 14 ⁰ x 14 ³ is therefore :

= 14 ⁰ x 14 ³

= 14 ⁰ ⁺ ³

= 14 ³

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Use long division to the quotient is [tex]5 x^5+90 x^2-134 x+3[/tex]

What is quotient?

A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number.

[tex]\begin{aligned}& \text { Simplify }\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-134 x+3 \\& \text { Steps } \\& \left(5 x^5+90 x^2-135 x\right)+(x+3)\end{aligned}[/tex]

[tex]Simplify $\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-135 x+x+3$[/tex]

[tex]=5 x^5+90 x^2-135 x+x+3[/tex]

[tex]Add similar elements: $-135 x+x=-134 x$[/tex]

[tex]=5 x^5+90 x^2-134 x+3[/tex]

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The true inequality in the list of options is (a) 6π > 2

From the question, we have the following inequality that can be used in our computation:

6π > 2, 7π > 30, 8 - π > 5 and π + 4 < 7

The value of the constant π is 3.142

So, we solve for π in the inequality expressions

A.6π > 2

This gives

π > 2/6

Divide

π > 0.33 -- true

B. 7π > 30

Divide

π > 4.29 -- false

C. 8 - π > 5

This gives

π < 3 -- false

D. π + 4 < 7

This gives

π < 3 -- false

Hence, the true inequality is 6π > 2

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Complete question

Which inequality is true?

A. 6π > 2

B. 7π > 30

C. 8 - π > 5

D. π + 4 < 7

Answer:D 3,215.36 square feet. 1.9m. 2)

Step-by-step explanation:

Answer:

perimeter = 54.08

Step-by-step explanation:

We are told that the area of a square kitchen is 182.25 m². We are then asked to calculate the perimeter of the kitchen.

The perimeter of a shape is simply the sum of the length of its sides. Therefore, in order to calculate the perimeter of the kitchen, we need to know the length of its sides.

Given that we know the area of the square kitchen, we can use the formula:

[tex]\boxed{\mathrm{Area = side^2}}[/tex],

and rearrange it to make the side the subject:

Area = side²

⇒ [tex]182.25 = \mathrm{side^2}[/tex]

⇒ [tex]\sqrt{182.85} = \mathrm{\sqrt{side^2}}[/tex]         (taking the square root of each side)

⇒ [tex]13.52 = \mathrm{side}[/tex]

⇒  side = 13.52 m

Therefore, the length of each side of the square kitchen is 13.52 m.

A square has 4 sides; therefore the perimeter of the kitchen can be calculated as follows:

perimeter = [tex]4 \times 13.52[/tex]

                 = [tex]\bf 54.08 \ m[/tex]

Therefore, the perimeter of the square kitchen is 54.08 m.

The unit price of a taxi cost is $0.30 per minute. And the total cost of a 48-minute taxi ride will be $14.4.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

At a generally secret getaway destination, taxi passages are a deal. A 21-mile taxi ride requires 28 minutes and expenses $8.40.

The number of dollars in each minute that the taxi driver charges will be given as,

Rate = $8.40 / 28

Rate = $0.30 per minute

If the taxi ride is of 48-minute. Then the total cost is given as,

Total cost  = $0.30 x 48

Total cost  = $14.4

The unit cost of a taxi cost is $0.30 each moment. Furthermore, the complete expense of a 48-minute taxi ride will be $14.4.

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The value of k as calculated from the information provided is -16 , -8 , 8 , 16.

The given equation is,

x² + kx + 15

= ( x + a ) (x + b)

= x² + (a + b ) x + ab

Therefore,

k = a + b

ab = 15

as known , a and b are integers,

15 = ( -1 x -15 ) , ( 1 x 15)

15 = (-3 x -5) , (3 x 5 )

Therefore,

k = -1 -15

= -16

and

k = -3 - 5

=8

The values of k are -16 , -8 , 8 , 16.

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.

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Answer:

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6)  Draw a line to join those 2 points.  The inequality is ≤ that means the solutions are the points on the line and below the line.  This is shown in the pink shading.

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y-axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6) Draw a line to join those 2 points.  

The inequality is ≤ which means the solutions are the points on the line and below the line.  This is shown in the pink shading.

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Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

1. [tex]\overline{MN} \perp \overline{MP}[/tex], [tex]\overline{PQ} \perp \overline{MP}[/tex] (given)

2. [tex]\angle NMP[/tex] and [tex]\angle MPQ[/tex] are right angles (definition of perpendicular lines)

3. [tex]\angle NMP \cong \angle MPQ[/tex] (all right angles are congruent)

4. [tex]\overline{NR} \cong \overline{QR}[/tex] (given)

5. [tex]\angle NRM \cong \angle QRP[/tex] (vertical angles)

6. [tex]\triangle PRQ \cong \triangle MRN[/tex] (AAS)

7. [tex]\overline{MR} \cong \overline{RP}[/tex] (CPCTC)

8. [tex]\angle NRP \cong \angle MRQ[/tex] (vertical angles)

9. [tex]\triangle NRP \cong \triangle QRM[/tex] (SAS)