Answer: 8
Step-by-step explanation:
6 + 2 is a simple arithmetic operation, which results in 8. When adding 6 and 2, you are combining two numbers to find their total. In other words, you are asking "if I have 6 items and someone gives me 2 more, how many items do I have in total?" The answer is 8, because you would have a total of 8 items.
Answer:
8
Step-by-step explanation:
[tex]6+2[/tex]
We can find the value of this by counting up 2 from 6.
7, 8
So the answer is 8
12x²+11x-56 box method
The product of (4x + 7) and (3x - 8) is 12x² + 7x - 56.
WHAT IS BOX METHOD ?
The box method, also known as the grid method, is a visual method used to multiply two numbers or two binomials. It involves creating a grid or box and filling it in with the products of the digits in each row and column. The method works for both single-digit and multi-digit numbers.
To use the box method for multiplying two numbers, we draw a box with two rows and two columns. We write one number along the top row and the other number along the left column. Then, we multiply the digits in each row and column and write the products in the corresponding cell of the box. Finally, we add the numbers in each cell of the box to get the product of the two numbers.
The box method can be used to multiply two binomials, such as (4x + 7) and (3x - 8). To use the box method, we draw a box with four cells, and we write the two binomials along the top and left sides of the box, like this:
| 4x | 7
-------------------
3x | |
-------------------
| |
Then, we fill in the four cells of the box by multiplying the corresponding terms. For example, the top-left cell is filled by multiplying 4x and 3x, which gives 12x². The other cells are filled in a similar way:
| 4x | 7
-------------------
3x | 12x² | 28x
-------------------
| -21x | -56
Next, we combine the terms in each row and column of the box, and write the final answer as the sum of these terms:
12x² + 28x - 21x - 56
Simplifying this expression gives:
12x² + 7x - 56
Therefore, the product of (4x + 7) and (3x - 8) is 12x² + 7x - 56.
To know more about binomials visit :-
https://brainly.com/question/25566343
#SPJ1
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
A figure consists of two curves labeled Upper A and Upper B. Curve Upper A is shorter and more spread out than curve Upper B, and curve Upper B is farther to the right than curve Upper A.
Select all that apply:
1. A has the larger mean.
2. B has the larger mean.
3. The means of A and B are equal.
4. A has the larger standard deviation.
5. B has the larger standard deviation.
6. The standard deviations of A and B are equal
Answer:
False
True
False
True
False
False
Step-by-step explanation:
From the plot, we can see that curve B is taller and more narrow than curve A, and it is shifted to the right relative to curve A. This tells us that curve B has a larger mean and smaller standard deviation than curve A. Therefore, statement 2 is true, and statements 1, 3, 5, and 6 are false. Finally, since curve A is more spread out than curve B, it has a larger standard deviation. Therefore, statement 4 is true.
Which of the following statements is about CD and CE is true? A. CD is longer than CE B. CE is longer than CD C. CD and CE are the same length D. CE is 5 units long
From the given graph, CE is longer than CD.
What is the distance between two coordinates?The length of the line segment bridging two locations in a plane is known as the distance between the points. d=√((x₂ - x₁)²+ (y₂ - y₁)²) is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.
Coordinates of E(8,6)
Coordinates of C(6,1)
Coordinates of D(3,-3)
x=8, y=6
x=6, y=1
x=3, y=-3
Distance CE=√{(8-6)² +(6-1)²} = √29
Distance CD=√{(6-3)² +(1+3)²}= √25=5
Therefore, CE is longer than CD.
To know more about lines, visit
https://brainly.com/question/30003330
#SPJ1
A and B are independent.
If P(A) = 1/2 and P(An B) = 6/15
ramona owns a small coffee shop, where she works full-time. her total revenue last year was $200,000, and her rent was $5,000 per month. she pays her one employee $3,000 per month, and the cost of ingredients averages $1,000 per month. ramona could earn $55,000 per year as the manager of a competing coffee shop nearby. her economic profit last year was were....
a. $18,000
b. $37,000
c. $55,000
d. $66,000
e. $92,000
Ramona's economic profit last year was $92,000 - $55,000 = $37,000. Therefore, the correct option is b. $37,000.
Ramona owns a small coffee shop, where she works full-time. Her total revenue last year was $200,000, and her rent was $5,000 per month. She pays her one employee $3,000 per month, and the cost of ingredients averages $1,000 per month. Ramona could earn $55,000 per year as the manager of a competing coffee shop nearby. Her economic profit last year was $37,000.An economic profit can be calculated by subtracting total costs from total revenue. Given that Ramona's total revenue is $200,000, her total cost is $5,000 + $3,000 + $1,000 = $9,000 per month. Multiplying this by 12 gives us her total cost for the year: $9,000 x 12 = $108,000. Ramona's economic profit last year was therefore $200,000 - $108,000 = $92,000. However, this figure doesn't take into account the opportunity cost of Ramona earning $55,000 as the manager of a competing coffee shop nearby. This needs to be subtracted from Ramona's economic profit.
For more questions on profit
https://brainly.com/question/1078746
#SPJ11
For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Step-by-step explanation:
how long will a car take to travel 140km averaging a speed of 35km/h
Answer:
Step-by-step explanation:
To calculate the time it will take a car to travel 140km at an average speed of 35km/h, we can use the formula:
time = distance ÷ speed
Plugging in the given values, we get:
time = 140km ÷ 35km/h
time = 4 hours
Therefore, it will take a car 4 hours to travel 140km at an average speed of 35km/h.
Answer:
ㅤ
Car will take 4 hours
ㅤ
Step-by-step explanation:
ㅤ
[tex]\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{Time = \dfrac{Distance}{Speed}}}}}}}[/tex]
ㅤ
[tex]\large{\leadsto{\sf{Given_{(Distance)} = 140 \: km}}}[/tex]
ㅤ
[tex]\large{\leadsto{\sf{Given_{(Speed)} = 35 \: km/hr}}}[/tex]
ㅤ
[tex]\large{\underline{\underline{\sf{Applying \: Formula:-}}}}[/tex]
ㅤ
[tex]\large{\leadsto{\sf{Required_{(Time)} = \bigg(\dfrac{\cancel{140}}{\cancel{35}}\bigg)} \: hr}}[/tex]
ㅤ
[tex]\large{\purple{\boxed{\leadsto{\sf{Required_{(Time)} = 4 \: hr}}}}}[/tex]
ㅤ
━━━━━━━━━━━━━━━━━━━━━━
[tex]\star \: {\large{\underline{\underline{\pink{\mathfrak{More:-}}}}}} \: \star[/tex]
ㅤ
[tex]\large{\dashrightarrow{\sf{Time = \dfrac{Distance}{Speed}}}}[/tex]
ㅤ
[tex]\large{\dashrightarrow{\sf{Speed = \dfrac{Distance}{Time}}}}[/tex]
ㅤ
[tex]\large{\dashrightarrow{\sf{Distance = Speed \times Time}}}[/tex]
Dorris deposits $200 into a savings account that has a simple interest rate of 4. 1% Max deposits 300 dollars into a savings account that has a simple interest rate of 1. 9%, who earn more interest in 15 months round to the nearest cent if necessary
Dorris earns $12.25 in interest over 15 months, while Max earns $2.84 in interest over the same period. So, Dorris earns more interest than Max.
To find out who earns more interest in 15 months, we can calculate the interest earned by each person using the formula:
Interest = Principal x Rate x Time
For Dorris, we have:
Interest = $200 x 0.041 x (15/12)
Interest = $12.25
For Max, we have:
Interest = $300 x 0.019 x (15/12)
Interest = $2.84
Interest refers to the cost of borrowing money, usually expressed as a percentage of the amount borrowed over a specific period of time. When someone borrows money, they are required to pay back not only the amount borrowed but also an additional amount, which is the interest. Interest is how lenders make money and is an important component of the financial system.
There are different types of interest rates, including fixed and variable rates. A fixed interest rate remains the same throughout the loan term, while a variable interest rate may change based on market conditions. Interest rates can also be compounded, which means that interest is added to the principal amount, and future interest payments are calculated based on the new higher amount.
To learn more about Interest visit here:
brainly.com/question/30393144
#SPJ4
A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places Part 1 of2 (a) Find P(5) P(5)- Part 2 of2 (b) Find P(More than 3) P(More than 3)
(a) n = 10, p = 1/4, and x = 5. Using the formula of binomial probability function,P(5) = 10C5 * (1/4)^5 * (3/4)^5≈ 0.0267 (rounded to three decimal places)
(b) P(More than 3) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)≈ 0.2784 (rounded to three decimal places)
Here n = 10, p = 1/4, and x = 5.Using the formula of binomial probability function,P(5) = 10C5 * (1/4)^5 * (3/4)^5≈ 0.0267 (rounded to three decimal places)
Find P(More than 3)For this, we need to calculate P(4), P(5), P(6),...,P(10) and add them.Using the formula of binomial probability function,P(4) = 10C4 * (1/4)^4 * (3/4)^6 = 0.2503 (rounded to three decimal places)P(5) = 10C5 * (1/4)^5 * (3/4)^5≈ 0.0267 (rounded to three decimal places)P(6) = 10C6 * (1/4)^6 * (3/4)^4≈ 0.0014 (rounded to three decimal places)P(7) = 10C7 * (1/4)^7 * (3/4)^3≈ 0.0001 (rounded to three decimal places)P(8) = 10C8 * (1/4)^8 * (3/4)^2≈ 0.0000 (rounded to three decimal places)P(9) = 10C9 * (1/4)^9 * (3/4)^1≈ 0.0000 (rounded to three decimal places)P(10) = 10C10 * (1/4)^10 * (3/4)^0≈ 0.0000 (rounded to three decimal places)P(More than 3) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)≈ 0.2784 (rounded to three decimal places)
Learn more about Binomial probability
brainly.com/question/29350029
#SPJ11
Solve for x,
using the tangent lines.
X
42°
x = [?]
can someone pls help explain how they got the answer? i’m having a hard time understanding, ty :)
Answer:
138°
Step-by-step explanation:
You want the measure of the angle at two tangents when they intercept an arc of 42°.
Supplementary anglesThe short answer is that the exterior angle x is the supplement of the measure of the arc:
x = 180° -42°
x = 138°
Exterior angleAn exterior angle where secants meet is half the difference of the arcs of the circle they intercept. Here, the secants have been located so the corresponding chord length between the near and far circle intercept points have degenerated to zero. That is, they are tangents.
The angle relation still holds:
x = (long arc - short arc)/2 = ((360° -42°) -42°)/2 = (360° -2·42°)/2
x = 180° -42° = 138°
QuadrilateralThe tangents, together with their associated radii form a quadrilateral. The angles at the tangents are 90°, and the total of all angles is 360°. This gives us the relation ...
x + 90° +42° +90° = 360°
x +42° = 180° . . . . . . . . . . . . . subtract 180°
x = 180° -42° = 138°
(We solved this with an extra step, so you could see the same "supplementary angles" relationship between x and 42°.)
2. Oil is leaking from an uncapped well and polluting a lake. Ten days after the leak is discovered, environmental engineers measure the amount of oil in the water to be 200 gallons with a current inflow rate of 30 gallons per day. The leak is slowing so that on the tenth day, the inflow rate is decreasing by 5 gallons/day each day. Suppose Q(t) is the amount of oil (in gallons) t days after the leak is discovered. (a) Find the second degree Taylor polynomial for Q(t) centered at t=10. (b) Use your answer in the previous part to estimate the amount of oil in the lake at t=12
As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).
what is polynomial ?A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.
given
(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).
As we are aware, Q(10) = 200. (given in the problem statement).
We must take the derivative of Q(t) with respect to t in order to determine Q'(10):
Q'(t) = -5t + 250
Q'(10) = -5(10) + 250 = 200
We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):
Q''(t) = -5
Q''(10) = -5
The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.
With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.
[tex]P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2[/tex]
(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.
P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)
As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).
To know more about polynomials visit:
https://brainly.com/question/11536910
#SPJ1
the ratio of students who ade the honor roll to the total number of stoudents is 1:50. if there are 500 students in total how many made the honor roll?
If there are 500 students in total, the number of students who made the honor roll is 10 students, given that the ratio of students who made the honor roll to the total number of students is 1:50.
The number of students who made the honor roll can be found using proportions. Here's how to do it:
Let X be the number of students who made the honor roll.
The proportion can be set up using the given ratio as follows:
1:50 = X:500
Cross-multiplying this equation and solving for X gives:
50X = 500
X = 10
Therefore, 10 students made the honor roll.
Learn more about proportions here: https://brainly.com/question/18437927
#SPJ11
What is 6/11 as a decimal rounded to 3 decimal places?
The numbers of trading cards owned by 7 middle-school students are given below.
(Note that these are already ordered from least to greatest.)
360, 373, 402, 499, 548, 644, 646
Suppose that the number 646 from this list changes to 639. Answer the following.
a) If the number 646 from the ordered list changes to 639, c) the median stays the same.
b) a) If the number 646 from the ordered list changes to 639, a) the mean decreases by 1.
What are the median and the mean?The median is the middle value in an ordered list (descending or ascending).
The mean refers to the average value.
The mean or average is computed as the quotient of the division of the total data value by the total number of items in the data set.
The ordered numbers of trading cards owned by 7 middle-school students = 360, 373, 402, 499, 548, 644, 646
The total value (sum) = 3,472
The number of cards = 7
The median = 499
The mean = 496 (3,472/7)
If the number 646 changes too 639:
The total value (sum) = 3,465
The median = 499
The mean = 495 (3,465/7)
Difference in mean = 1 (496 - 495)
Learn more about the median and the mean at https://brainly.com/question/6281520.
#SPJ1
Solve each of the following systems by the Method of Elimination. These two should be relatively easy. Make sure to understand why. (a) x-y 7 (b) 2x+5y = 3 x+ y=5 -2x-y= 5
A) The solution of the system x-y = 7, x+y = 5 is (6, -1)
B) The solution of the system 2x+5y = 3, -2x-y= 5 is (-16/3, 13/3)
A) To solve by the elimination method , we add the left-hand sides and right-hand sides of the two equations separately, as follows,
(x - y) + (x + y) = 7 + 5
2x = 12
x = 6
(x + y) - (x - y) = 5 - 7
2y = -2
y = -1
Therefore, the solution to the system is (x, y) = (6, -1).
B) To solve by the method of elimination, we can multiply the first equation by 2 to eliminate the x term, as follows,
2x + 5y = 3
-4x - 2y = 10
Adding these two equations, we get,
3y = 13
y = 13/3
Substituting y = 13/3 into the first equation, we get,
2x + 5(13/3) = 3
2x = -32/3
x = -16/3
Therefore, the solution to the system is (x, y) = (-16/3, 13/3)
Learn more about elimination method here
brainly.com/question/14619835
#SPJ4
The given question is incomplete, the complete question is:
Solve each of the following systems by the Method of Elimination A) x-y = 7, x+y = 5 B) 2x+5y = 3, -2x-y= 5
The tape diagram represents an equation.
Write an equation to represent the image.
Answer: y+y=7
Step-by-step explanation:
7 is as big as 2 y's therefore y+y would be equal to 7
determine the smallest integer value of x in -2x+1< -9
Answer: The smallest integer value of x that satisfies the inequality -2x+1<-9 is x=5.
Step-by-step explanation:
Answer: The smallest integer value of x that satisfies the inequality -2x+1<-9 is x=5.
Explanation:
To solve the inequality, we need to isolate the variable x on one side of the inequality symbol. Here are the steps:
Subtract 1 from both sides of the inequality:
-2x < -10
Divide both sides of the inequality by -2, remembering to reverse the direction of the inequality symbol:
x > 5
Therefore, the smallest integer value of x that satisfies the inequality is x = 5, since any value less than 5 would make the inequality false.
Answer:
x = 6
Step-by-step explanation:
- 2x + 1 < - 9 ( subtract 1 from both sides )
- 2x < - 10
divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
x > 5
since x must be greater than 5, it cannot equal 5
then the smallest integer value of x is x = 6
in a heptagon, the degree measures of the interior angles are $x, ~x, ~x-2, ~x-2, ~x 2, ~x 2$ and $x 4$ degrees. what is the degree measure of the largest interior angle?
The degree measure of the largest interior angle of the given heptagon is 132.57 degrees.
The largest interior angle of the given heptagon. The degree measures of the interior angles of a heptagon are 7, with 7 sides or vertices, are $x, ~x, ~x-2, ~x-2, ~x+2, ~x+2,$ and $x+4$ degrees.
The sum of the degree measures of the interior angles of a polygon with n sides is given by $S = (n-2) \c dot 180^\circ$. The sum of the interior angles of a heptagon is given by $S = (7-2) \cdot 180^\circ = 900^\circ$.
The sum of the degree measures of the interior angles of the heptagon is equal to $x+x+x-2+x-2+x+2+x+2+x+4 = 7x+4$. To find the value of x, we will set this equation equal to the total sum of the interior angles:$7x+4 = 900^\circ$. Solving for x, we get$x = 128.57$
We may now substitute the value of x to get the degree measures of each of the angles in the heptagon:$x = 128.57^\circ$$x = 128.57^\circ$$x - 2 = 126.57^\circ$$x - 2 = 126.57^\circ$$x + 2 = 130.57^\circ$$x + 2 = 130.57^\circ$$x + 4 = 132.57^\circ$
To find the degree measure of the largest interior angle, we must look for the angle with the largest value. We can see that the largest angle measures $132.57^\circ$.
Learn more about Heptagon
brainly.com/question/12630702
#SPJ11
a study was conducted on students from a particular high school over the last 8 years. the following information was found regarding standardized tests used for college admitance. scores on the sat test are normally distributed with a mean of 990 and a standard deviation of 201. scores on the act test are normally distributed with a mean of 21.6 and a standard deviation of 4.1. it is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 70-percentile, find the actual SAT score. SAT score = _____ Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = ____Round answer to 1 decimal place.If a student gets an SAT score of 1536, find the equivalent ACT score. ACT score = ____ Round answer to 1 decimal place.
We are given that the SAT and ACT measure the same aptitude but use different scales. To find the equivalent ACT score for a given SAT score, we can use the conversion chart.
SAT 1100 = ACT 23
Therefore, the equivalent ACT score for a student with an SAT score of 1104 is 23.
3. If a student gets an SAT score of 1536, find the equivalent ACT score.
Solution:
To find the equivalent ACT score for a given SAT score, we can use the conversion chart.
SAT 1536 = ACT 35
Therefore, the equivalent ACT score for a student with an SAT score of 1536 is 35.
Therefore, the SAT score = 1536 and the ACT score = 35.
1. If a student gets an SAT score that is the 70th percentile, find the actual SAT score.
Solution:
We are given that SAT scores are normally distributed with a mean of 990 and a standard deviation of 201. We are asked to find the SAT score for the 70th percentile.
P( SAT score < X) = 0.70
We can use the standard normal table to find the corresponding z-score for the 70th percentile.
z = 0.52
We can use the z-score formula to find the SAT score:
z = (X - μ) / σ
0.52 = (X - 990) / 201
X = 1103.72
Therefore, the actual SAT score for the 70th percentile is 1104.
2. What would be the equivalent ACT score for this student?
for such more questions in standard normal
https://brainly.com/question/30492671
#SPJ11
12. Melanie collects data about the number of text messages students send each day. Number of Text Message: 94 ,105, 87, 76, 110, 80, 87, 76,101, 113, 85 Select all the true statements
a.The data set is numerical data.
b.The data set is categorical data.
c. The data set has an outlier.
d.The data set does not have an outlier.
e.A circle graph is an appropriate data display for this data.
f.A box plot is an appropriate data display for this data.
Answer: a, f. In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day.
What is a Numerical data?Numerical data is data that is represented by numbers. It is data that can be measured and compared. Examples include age, weight, height, and number of text messages.
In Melanie's data set, she is collecting numerical data, specifically the number of text messages sent each day. This data is numerical because it can be measured and compared. This data set does not have an outlier because all of the values are within a reasonable range and no single value is significantly higher or lower than the others.
A box plot is an appropriate data display for this data because it allows for an easy comparison of the data. The box plot will show the median, the range of values, and any outliers.
For more questions related to box plot
https://brainly.com/question/14277132
#SPJ1
Angela compro un terreno rectangular que tiene un perimetro de
10x - 28a
Si el ancho del terreno es 2x - 4a
¿Cual es la expresión que muestra la medida del largo del terreno?
The expression that shows the measurement of the length of the land is L = 3x - 10a.
Let L be the length of the rectangular plot.
We know that the perimeter of a rectangle is given by the sum of the lengths of all its sides. In this case, the perimeter is 10x - 28a, so we can write:
Perimeter = 2L + 2W
10x - 28a = 2L + 2(2x - 4a)
10x - 28a = 2L + 4x - 8a
2L = 6x - 20a
L = 3x - 10a
In other words, the length of the land is equal to three times the width minus ten times the value of 'a'.
To explain this equation in a little more detail, we can say that the length of the rectangular plot is dependent on both the width of the land and the value of 'a'.
The expression tells us that as the value of 'a' increases, the length of the land decreases, and as the width of the land increases, the length of the land also increases. This equation is useful because it allows us to calculate the length of the land without having to measure it directly, as long as we know the value of 'a' and the width of the land.
To learn more about expressions click on,
https://brainly.com/question/17687640
#SPJ4
please help quickly, this needs to be finished soon
Accοrding tο the fοrmula fοr the quadratic equatiοn, the maximum height is 98 ft.
What is a quadratic equatiοn?A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn οf the fοrm:
[tex]ax^2 + bx + c = 0[/tex]
where a, b, and c are cοnstants, and x is the variable. The term "quadratic" cοmes frοm the Latin wοrd "quadratus," meaning square, because the variable is squared in this type οf equatiοn.
Quadratic equatiοns can have οne, twο, οr zerο real sοlutiοns, depending οn the values οf the cοnstants a, b, and c. The sοlutiοns can be fοund using the quadratic fοrmula:
[tex]x = (-b\± \sqrt{(b^2 - 4ac)}) / 2a[/tex] οr by factοring the quadratic expressiοn intο twο linear factοrs.
The quadratic functiοn tο mοdel the vertical mοtiοn is:
[tex]h(t) = -16t^2 + v0t + h0[/tex]
where:
h(t) is the height at time t
t is the time in secοnds
v0 is the initial vertical velοcity in ft/s
h0 is the initial height in ft
Given v0 = 32 ft/s and h0 = 82 ft, the functiοn becοmes:
[tex]h(t) = -16t^2 + 32t + 82[/tex]
Tο find the maximum height, we can use the vertex fοrm οf a quadratic equatiοn:
[tex]h(t) = a(t - t0)^2 + h0[/tex]
where:
a is the cοefficient οf the quadratic term
t0 is the time at which the maximum height is achieved
h0 is the initial height
Cοmparing the twο fοrms, we see that a = -16 and t0 = -b/2a, where b is the cοefficient οf the linear term. In this case, b = 32, sο:
t0 = -32 / (2(-16)) = 1
Therefοre, the maximum height is achieved at t = 1 secοnd. Substituting intο the οriginal equatiοn, we get:
[tex]h(1) = -16(1)^2 + 32(1) + 82 = 98 ft[/tex]
Sο the maximum height is 98 ft.
To know more about quadratic equations visit:
brainly.com/question/30098550
#SPJ1
can someone please explain?
It would make it easier for the cafe to adjust prices if necessary, as they would only need to modify the cost per ounce for each size.
What is cost?Cost is the amount of money or resources required to purchase or produce something. It can be the total expenditure on a product, service, or activity. It can also refer to the amount of money or resources consumed in order to maintain or achieve something. Cost can also be the value of a resource lost or sacrificed in order to obtain something.
To make the price of smoothies a function of the size, the sign should be modified to include the following additional information:
8 ounce $2.29/ounce
12 ounce $2.79/ounce
12 ounce. $3.09/ounce
16 ounce $3.69/ounce
20 ounce $4.09/ounce
22 ounce
( Bonus size). $4.09/ounce
This change would make the price of smoothies a function of the size, as each smoothie size would then have its own associated cost per ounce. This would make it easier for customers to compare the cost of different sizes and make an informed decision. Furthermore, it would make it easier for the cafe to adjust prices if necessary, as they would only need to modify the cost per ounce for each size.
To know more about cost click-
https://brainly.com/question/25109150
#SPJ1
Which expression represents the perimeter of a triangle in simplest form that has side lengths: 2x, 3x + 5, x + 2
Answer:
6x + 7
Step-by-step explanation:
triangle has 3 sides right, which is 2x, 3x+5 and x+2
so basically you just have to add everything up since perimeter is just the total number of each sides combined
2x + (3x+5) + (x+2)
expand from the brackets
2x + 3x + 5 + x + 2
rearrange the numbers to avoid confusion
2x + 3x + x + 5 + 2
add everything up
6x + 7
plese help with the following questions PLESE
Assignment:
Sebastian Salazar opened a Sporting Goods Store. He has some new inventory that needs to be priced. He also has some seasonal inventory that hasn’t sold and he needs to put them on sale.
Help Sebastian with his pricing questions:
1. The retail prices are: $44.36, $34.10 and $67.57
2. The sales prices are: $263.20 and $65.59
Define the term retail price?Retail price refers to the price at which a product or service is sold to the final consumer by a retailer. This price includes the cost of production, transportation, marketing, and other related expenses, as well as a markup to generate profit for the retailer.
1. New Items - Calculate Retail Prices
Item Wholesale Mark Up Calculation Retail
Cost ($) Percent% Price ($)
a. Louisville $22.75 95% 22.75+(95%×22.75) =$44.36
Slugger bat and
batting glove set
b. Wilson $11.00 210% 11+(210%×11) =$34.10
Basketball
c. Element $26.50 155% 26.50+(155%×26.50) =$67.57
Skateboard
2. Items on sale - Calculate Sale Prices
Item Retail Discount Calculation Sales
price ($) Percent % Price ($)
a. Head $329.00 20% 329-(20%×329) $263.20
Snowboard
b. Kelly $79.99 18% 79.99-(18%×79.99) $65.59
Ski poles
All data is filled in below table.
To know more about sales price, visit:
https://brainly.com/question/26008313
#SPJ1
Pls answer my question it will be amazing if you do just pls.
The equation to show the relationship between x and y is y = 0.08x, where y is the amount of sales tax in dollars for the item and x is the cost of the item in dollars before tax.
What is tax?Tax is a compulsory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund various public expenditures. A failure to pay, along with evasion of or resistance to taxation, is punishable by law. Taxes consist of direct or indirect taxes and may be paid in money or as its labour equivalent. Most countries have a tax system in place to pay for public, common or agreed national needs and government functions. Some levy a flat percentage rate of taxation on personal annual income, but most scale taxes based on annual income amounts.
This equation reflects the fact that the amount of sales tax for an item is 8% of its cost before tax.
To learn more about tax
https://brainly.com/question/28735352
#SPJ1
Sales tax: The equation to show the relationship between x and y is x + y = C,
What is equation?An equation is a mathematical statement that expresses two mathematical expressions to be equal. It usually consists of two numbers, variables, or a combination of the two. An equation may be used to calculate a desired result, or to determine the relationship between two variables. Equations can also be used to test whether a statement is true or false. Most equations are written in the form of "a = b," where a and b are two numbers or variables.
where C is the cost of the item plus the sales tax. This equation can be explained mathematically as follows: the cost of the item (x) is added to the amount of sales tax (y) to give the total cost of the item with tax (C).
To learn more about equation
https://brainly.com/question/17145398
#SPJ1
determine the dew point temperature, the humidity ratio, the specific volume and the enthalpy given a dry bulk temperature of 39oc and a wet bulb temperature of 18oc.
The atmospheric pressure of 101.325 kPa, the dew point temperature is approximately 10.4°C, the humidity ratio is approximately 0.0084 kg of water vapor per kg of dry air, the specific volume is approximately 0.85 m³/kg of dry air, and the enthalpy is approximately 91 kJ/kg of dry air.
To determine the dew point temperature, the humidity ratio, the specific volume and the enthalpy given a dry bulk temperature of 39°C and a wet bulb temperature of 18°C, you can use a psychometric chart or a specialized software program that calculates these properties based on the given dry bulb and wet bulb temperatures, as well as other relevant parameters such as pressure, altitude, and air composition.
First, plot 39°C (the dry bulk temperature) and 18°C (the wet bulb temperature) on the chart. Then mark The atmospheric pressure of 101.325 kPa, the dew point temperature is approximately 10.4°C, the humidity ratio is approximately 0.0084 kg of water vapor per kg of dry air, the specific volume is approximately 0.85 m³/kg of dry air, and the enthalpy is approximately 91 kJ/kg of dry air.
To learn more about psychometric chart:
https://brainly.com/question/31062491
#SPJ11
A printer manufacturer obtained the following probabilities from database of test results. Printer failures are associated with three types of problems: hardware, software, and other (such as connectors) , with probabilities 0.1_ 0.6, 0.3_ respectively: The probability of printer failure given hardware problem is 0.9 given a software problem is 0.2, and given any other type of problem is 0.5. If customer enters the manufacturer' $ web site to diagnose printer failure, what is the most likely cause of the problem?
The probability of a printer failure given hardware problems is 0.9, given software problems are 0.2, and given any other type of problem is 0.5. The customer should diagnose the printer failure by looking for a hardware issue.
The probability of printer failure is dependent on three problem types, hardware, software, and others (like connectors). The respective probabilities are 0.1_, 0.6, and 0.3_.
We have hardware problems, the probability of printer failure is 0.9, given software problems the probability is 0.2, and given any other problem type the probability is 0.5. By using Bayes' theorem, the most probable cause of the failure can be determined.
Let A represent the cause of the problem, and B is the evidence that the customer sees. Let's calculate the probability that A = hardware given B, which is P(A|B) = P(B|A)*P(A)/P(B).
Here, P(A) is the prior probability of the cause being hardware,
P(B|A) is the likelihood of observing the evidence given the cause being hardware, and P(B) is the probability of observing the evidence.
Given hardware problems, the probability of printer failure is 0.9, while the probability of observing this evidence given hardware problems is 0.9. Since there are three problem types, each of them having a prior probability of 1/3, we get P(A) = 1/3.
The probabilities of observing the evidence in the case of other types of problems and software problems are 0.5 and 0.2, respectively. Therefore, the most likely cause of printer failure is hardware problems.
To know more about the "probability":https://brainly.com/question/24756209
#SPJ11
Function P represents the perimeter, in inches, of a square with the side length x inches.P = x + x + x + x ... but it would be more efficient to write it this way: P =4xComplete the table.x 0 1 2 3 4 5 6P(x) 0
Function P represents the perimeter, in inches, of a square with the side length x inches. So, the perimeter of a square can be represented as P = x + x + x + x, which simplifies to P = 4x. This way is more efficient to write than the former.
Complete the table provided: x 0 1 2 3 4 5 6 P(x) 0 4 8 12 16 20 24. When x = 0, the perimeter of the square is 0.When x = 1, the perimeter of the square is P = 4(1) = 4. When x = 2, the perimeter of the square is P = 4(2) = 8. When x = 3, the perimeter of the square is P = 4(3) = 12. When x = 4, the perimeter of the square is P = 4(4) = 16. When x = 5, the perimeter of the square is P = 4(5) = 20. When x = 6, the perimeter of the square is P = 4(6) = 24.
Function P represents the perimeter, in inches : https://brainly.com/question/19110581
#SPJ11
The distance from school to Regina's house is 4. 2 kilometers. After school, Regina stops at a grocery store on her way home. If the distance from the school to the grocery store is 1. 4 kilometers, how much farther in meters does Regina need to get home?
meters
Regina needs to travel an additional 5,600 meters to get home.
The total distance Regina travels from school to the grocery store and then to her house is
4.2 km + 1.4 km = 5.6 km
To find out how much farther Regina needs to get home, we need to subtract the distance from the grocery store to her house (which we don't know yet) from the total distance she travels.
Let's say the distance from the grocery store to Regina's house is x kilometers. Then we can set up an equation
5.6 km - x km = the distance Regina needs to get home
To solve for x, we can isolate it on one side of the equation by subtracting the distance Regina needs to get home from both sides
5.6 km - (the distance Regina needs to get home) = x km
We know that Regina needs to get home, so we can substitute that into the equation
5.6 km - 0 km = x km
Simplifying, we get
x = 5.6 km
Now we know that the distance from the grocery store to Regina's house is 5.6 km. We need to convert this to meters to find out how much farther Regina needs to get home
5.6 km = 5,600 meters
Learn more about distance here
brainly.com/question/15706791
#SPJ4
