20.
A soccer ball is kicked upward from the ground with a speed of 96 feet per second. Its height h, in feet, after t seconds is given by the equation h(t) = -16² +96t.
HCL many seconds will it take the soccer ball to reach its maximum height?

Answers

Answer 1

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 96t[/tex]

Required

Seconds to attain maximum height

The maximum of a quadratic function [tex]y = ax^2 + bx + c[/tex] is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

So, we have:

[tex]t = -\frac{b}{2a}[/tex]

Where:

[tex]a = -16[/tex] and [tex]b = 96[/tex]

So:

[tex]t = -\frac{96}{2 * -16}[/tex]

[tex]t = -\frac{96}{-32}[/tex]

Cancel out negatives

[tex]t = \frac{96}{32}[/tex]

[tex]t = 3[/tex]


Related Questions

3. The number of patients at a doctors office is tracked over a period of 10 days. Which statement best

supports the data?

A. The data for Dr. Amine's office is more

symmetrical than the data for Dr. Harris's office.

B. The interquartile range of the two offices is the

same.

C. The median number of patients at Dr. Harris's

office is less than the median number of patients

at Dr. Amine's office

D. The range of the data for Dr. Harris's office is less

than the range of the data for Dr. Amine's office

Answers

Answer:

The data for Dr. Amine's office is more

symmetrical than the data for Dr. Harris's office.

Step-by-step explanation:

Using visual inspection, Dr. Amine's office data is symmetrical as the median value is well. Positioned in between the box plot with approximately the same width to both left and right of the plot from the median value. While that of Dr. Harris office is clearly skewed.

From the median value and range values, Dr. Harris's office has greater value than Dr. Amine's office, hence the options are false. The interquartile range are also not the same.

1. If 3X + Y =P and X+Y=Q, what is X in terms of P and Q?

Answers

'is' means =

so

X =

so

3X + Y = P

3X = P - Y

X = (P - Y) ÷ 3

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.

Answers

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

What is the empirical rule?

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

Learn more about the empirical rules here:

brainly.com/question/27914019

#SPJ2

Size of the largest angle in a triangle is 4 times the sizes of the smallest angles.The other angles is 27 degree less than the largest angles. Work out in degree , the size of the each angle in the triangle

Answers

23 degrees , 65 degrees and 92 degrees

I need help with this! Will mark brainliest

Answers

Answer:

59 degrees

Step-by-step explanation:

If BCG is 40 degrees and AGC is 19 degrees, you would add the 2 angles to find AGB giving you 59 degrees.

help me and please tell me how did you get the answer​

Answers

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

the answer is 10
how i got the answer was buy adding all the 2s together to get 8 and then i added all the half’s witch made 2 and all there was left to do was add the 2 and the 8 to get 10

Suppose that AB and EF are corresponding sides of similar triangles. If AB=2 and the scale factor is 5, what is EF?

Answers

Answer:

EF=10

Step-by-step explanation:

If they are corresponding,

AB = 2 x Scale factor of 5 = 10

can someone help me with this???

Answers

Answer:

it's 47 degree answer of your question

It would be 47 degrees

Plzzz ignore 42 I just need help on 42

Answers

Answer:

A... Y=-3X+2

Step-by-step explanation:

trust

Answer:

C

Step-by-step explanation:

First, find the slope:

Formula for slope:

m = y2 - y1 / x2 - x1

m = -2 - -5 / 0 - -1

m = - 2 + 5 / 0 + 1

m = 3 / 1

m = 3

Next, find the y-intercept:

When x = 0, y = ???

According to the chart, when x = 0, y = -2. This is our y-intercept, also known as b.

Format the answers:

y = 3x + -2

y = 3x - 2

Check your work:

Plug in any x value and the y value should match the chart:

-5 = 3(-1) - 2

-5 = -3 - 2

-5 = -5

Correct

I dont understand this got a test tomorrow someone please help

Answers

Answer:

14*6=18 or add them

Step-by-step explanation:

its either multiply or add them together

I need a answer please

Answers

I think the answer is D

Point F is on line CD. Find the measure of angle CFE. Show your work.

Answers

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

there are 60 inches in 5feet. How many inches are in 8 feet ?

Answers

Answer:

96

Step-by-step explanation:

Feet have 12 inches each to find the amount in x amount of inches let this equation help you

X=amount of inches

y= amount of feet

X= 12·y

in other word multiply 12 by the amount of feet to get your answer

good luck :)

also... Brainliest?

Twenty-eight students are taking the WIDA test this Friday in A209. Twenty-two of them are taking Tier A test. The rest are taking Tier B test. How many students are taking the Tier B test?

Answers

Answer:

6

Step-by-step explanation:

6 students are taking the b test because if you subtract 22 from 28 you get 6

Carlos had $41 when he went to a bookstore. He had $10 left after buying some books. Which equation can be used to find a, the amount Carlos spent on books?​

Answers

Answer:

$41 - $a =$ 10

Step-by-step explanation:

$41 - $a =$ 10

$a = $ 41 - $10

$a= $ 31

Help me if u can if you can it’s fine but plz help me if u can I would really appreciate it

Answers

Answer:

you are right click on 32 °

what is the image of the point (4,-8) after a rotation of 270 degrees counterclockwise about the orgin

Answers

Answer:

(-8,-4)

Step-by-step explanation:

(y,-x)

which operation should you perform first when you simplify the following (15 x 5 + 4) x 3

Answers

Answer:

15 x 5 would come first

Step-by-step explanation:

PEMDAS

first you do parenthesis, and then multiplication so you would do the multiplication inside of the ( ) first !

Answer:

if your doing PEMDAS then do parentheses but if your not then multiply first.

the answer is: 237

Step-by-step explanation:

Someone plz help me I beg u plz no link plz someone

Answers

AHHHHHHHJ S SSNMA
AMA

Please answer thanks​

Answers

Answer:

40.73

not 100% sure but by comparing to the other answers, its the most logical

Answer:

$40.00

Step-by-step explanation:

Find 1% of 50

50 / 100 = 0.5

Multiply that value by 5

0.5 * 5 = 2.5

Multiply the new value by 4

2.5 * 4 = 10

Subtract

50 - 10 = 40

Which is equivalent to 1/2? Select all that apply

Answers

Answer:

options man?

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24

1/2 = 25/50 = 50/100 = 100/200 = 150/300 = 200/400 = 250/500

Answer:

a sin 30

Step-by-step explanation:

i just need more points

The October 31 bank statement of the Stover Co. indicated a balance of $6,151.11. Stover’s checkbook reflected a balance of $2,160.14. Stover Co.’s bookkeeper found that the bank had collected a note for $1,389.25. A deposit, in the amount of $2,837.77, made in the afternoon of October 31 had not been credited to their account. Checks totaling $5,545.09 had not yet been presented for payment and there was a charge of $105.60 for printed checks. What was their reconciled balance? $4,433.79 $3,447.39 $3,443.79 $3,443.97

Answers

Answer:

$3,443.79

Step-by-step explanation:

Mark as Brainliest

Answer:

$3,443.79

Step-by-step explanation:

Add for adding money

Subtract for collecting/spending money.

A = 10r + 2
what is the value of A if r=3?
12
15
32
105​

Answers

Your answer is 32. Hope this helped
The answer is 32 because 10 x 3= 30 +2 = 32

Please help. Any tips appreciated. I have no clue how to complete this please

Answers

Answer:  35

=============================================================

Explanation:

A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.

Doing this will help us solve for x.

(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360

(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360

45x+90 = 360

45x = 360-90 ... subtract 90 from both sides

45x = 270

x = 270/45 ..... divide both sides by 45

x = 6

We'll then plug this x value into the angle expression for angle TQU

angle TQU = 5x+5

angle TQU = 5*6+5

angle TQU = 35 degrees

----------

Extra info:

angle VQR = 130 degreesangle RQS = 80 degrees (same as angle UQV)angle SQT = 35 degrees (same as angle TQU)Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.

Which of the following is the product of the rational expressions shown here? X/(x+1)*(2/x-1)

Answers

Answer:

its B

2×x=2x

(x+1)×(x-1)=x²-x+x-1=x²-1

i think its “b” good luck.

HELP MEEE!!! Will make brainlyist if right!!

Answers

Answer:

238 degrees

Step-by-step explanation:

Whole circle measures 360 degrees.

Subtract 122 degrees from the whole circle to get 238 degrees.

Penny solved an equation by subtracting 6 from each side of the equation and then dividing each side by 5.

Answers

Answer:

Step-by-step explanation:

In order to solve for x, she had to first subtract 6 on both sides of the equation.  Then divide by 5 on both sides of he equation.  After the division part, she was able to successfully isolate x.

The equation she had to solve was     (C)  5x+6=21

First step:  Subtracting 6 on both sides of equation resulted in

5x = 15

Second step:  Dividing both sides of the equation by 5 resulted in

x = 3

how many vertices does this shape have? (Multiple choice)

Answers

Answer:

10

Step-by-step explanation:

What two integers have a sum of -19 and a product of 84?

Answers

-7 x -12

7x12=84

7+12=19

Help it’s literally 2AM

Answers

Answer:

10

Step-by-step explanation:

4x+8+3x+12=90

x=10

this is the solution hope it's helpful

Other Questions
A rectangular covered court has a length of 35m and a width of 20m. whatis the area of the covered court?What is asked?What are given?What operation to be used?What is the number sentence?What is the answer? experiment yeast fermentation what is the purpose of boiling the glucose solution earlier which expression represents the area of the Shaded triangle 1/2 (6.2) x (1.9) 1/2(5.7)(1.9) 1/2(6.3)(4.3) 1/2(5.7)(4.3) The mole fraction of helium in a saturated solution at 0C is 1.2 x 106. Find the pressure of helium above the solution. Henry's law constant is 6.8 x 106 atm1 please help didnt mean to answer Consider three point charges, q1 = 4.50 C, q2 = 4.50 C, and q3 = 6.30 C, located at the corners of an isosceles triangle. The charges q1 and q2 are 5.00 m apart and form the base. The triangle is 3.50 m high, and q3 is located at the top. Calculate the magnitude and direction of the resultant force on q3. which of the following was a major focus of the mississippian belief system What or who killed old Professor Weiler ? A. Heart attack B. A German solider C. Otto Schiendick D. Cancer Trading 10 points for air :)I'm under I know.... Describe the process of how a bill becomes a law in at least 4-5 sentence State if the triangle is acute, obtuse, or right.7 cm12 cm13 cmB) ObtuseA) AcuteC) Right !Help Help Help! lols WILL GIVE BRAINLIEST1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.a. What is the explanatory variable (independent variable)? (1 point)b. What is the response variable (dependent variable)? (1 point)c. Circle the best range for the correlation coefficient. (1 point)(1 to 0.7) (0.7 to 0.3) (0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)2. This scatterplot shows the relationship between a player's level in a game and the point total in the level. Answer the questions about the scatterplot.a. The best model for these data would be (linear / exponential / quadratic). (Circle the correct answer.) (1 point)b. This table shows the values from the scatterplot. Find the regression equation for the model that you chose in Part a. Round your answer to the nearest hundredth. (3 points)xLevelyPoint total112421563194424053056380747785969745c. Using the equation that you found in Part b, predict the point total in the 10th level. Round your answer to the nearest integer. (2 points)3. Maria is a veterinarian. She wants to know how the weight of a puppy is related to its length. To find out, Maria randomly selected 10 puppies that are two months old. She recorded the length and weight of each puppy in the table below.Part A. The data from the table are shown on the scatterplot. Draw an estimated line of best fit through the data points. (3 points)Part B. Use the scatterplot to answer these questions.a. What kind of correlation exists between the length and weight of the puppies? Explain. (2 points)b. Identify two points on the line of best fit that you drew in Part A. Use the two points to find the equation of the line. Write the equation of the best fit line in slope-intercept form. Show your work. (4 points: 1 point for identifying the coordinates of two points, 1 point for slope, 1 point for b-value, and 1 point for showing work)4. Maria also wants to study the relationship between the weight of puppies at birth and their adult weight (at two years old). She collected data from five randomly selected small-breed dogs and displayed the data in the table.Birth weight(pounds)Adult weight(pounds)1.510317182.5140.755Part A. Use the data in the table to create a scatterplot. (5 points)Part B. Look at the scatterplot that you drew in Part A. Which regression equation (linear, exponential, or quadratic) do you think would be the best model for these data? To help you decide, think about the adult weight you would expect if the birth weight were larger say, 10 pounds. Would you expect the pattern in the scatterplot to continue? To grow exponentially? To change direction? Explain your answer. (2 points)Part C. Perform a linear regression and interpret the results.a. Use a calculator to perform a linear regression. Round the values your calculator gives you for a and b to the nearest hundredth. (2 points)y = _______x + _______b. What is the slope of the regression equation? What does this mean in terms of the birth weight and adult weight? (2 points)c. What is the value of the correlation coefficient? (1 point)d. Describe the correlation in terms of strength (weak or strong) and direction (positive or negative). (2 points)Part D. Analyze the residuals.Birth weight(pounds)Adult weight(pounds)Predictedadult weightResidual1.510317182.5140.755a. Use the linear regression equation from Part C to calculate the predicted adult weight for each birth weight. Round to the nearest hundredth. Enter these in the third column of the table. (2.5 points)b. Find the residual for each birth weight. Round to the nearest hundredth. Enter these in the fourth column of the table. (2.5 points)c. Plot the residuals. (3 points)d. Based on the residuals, is your regression line a reasonable model for the data? Why or why not? (2 points)5. Decide whether each statement is true or false. (1 point each)a. T/F: If there is a strong correlation between two variables, the correlation coefficient will be close to 1 or 1.b. T/F: If there is a negative correlation between two variables, the slope of the regression line will be positive.c. T/F: If there is a strong correlation between two variables, there is a cause-and-effect relationship.d. T/F: The best model for data that change direction is a linear model.e. T/F: A regression line is useful for predicting unknown values within the range of the observed data values. Body responses during exercise include Learning Task Find the perimeter and area of each figurePerimeterAreaomsomSo What is the 31st term in the sequence 204,200,196 One should read every possible answer to a multiple choice question before selecting a final answer.Please select the best answer from the choices providedF helppp mee no links pleaseeeee PLEASE HELPP IM VERy CONFUSED IM MAKING IT WORTH 45 PLEASE HELP!!!!! WILL MARK BRAINLIESTThe height, h, in feet above the ground of a person riding a Ferris wheel can be modeled with the equationh(t)=-45cos (pi/4 t) +52, where t is the number of minutes since boarding the ride.(a) At what height does the person board the wheel? Explain how you arrived at your answer.(b) How many minutes does one complete rotation of the wheel take? Alyssa is tracking the growth of a plant. The plant grows c inches in the first week and n inchesin the second week.Enter an equation to show that the plant grows 2 inches morein the second week than in the first week.