MATHEMATICS HIGH SCHOOL

Select the points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet. (0.80) (5.40) (10. 20) (15. 10)

Answers

Answer 1

Answer:

Answer:

It would be the points (0,80) and (15,10)

Step-by-step explanation:

Just did it :)

Answer 2

Answer:

Answer:

(0,80), (15,10)

Step-by-step explanation:

the second one is -14/3

edge 2022

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An architect is building a model of tennis court for a new client. the court is 7 inches wide and 13 inches long an official tennis court is 32 feet wide. what is the length of a tennis court?

Answers

Answer: 59.4285714 feet approximately

Work Shown

(7 inches)/(32 feet) = (13 inches)/(x feet)

7/32 = 13/x

7x = 32*13

7x = 416

x = 416/7

x = 59.4285714 approximately

Round this value however your teacher instructs.

Answer:

Length of official tennis court is 713.14 in or 59.43 ft

Step-by-step explanation:

In order to find the length of an official tennis court, we can use the concept of proportions.

Let's set up a proportion to solve for the length of the tennis court.

Given:

Model tennis court width = 7 inches
Model tennis court length = 13 inches
Official tennis court width = 32 feet = 32*12 = 384 inches

Let x be the length of the official tennis court in feet.

Proportion:

$\sf \frac{\textsf{Model width }}{\textsf{Official width }}=\frac{\textsf{ Model length }}{\textsf{Official length}}$

$\sf (7 in )/(384in)= (13 in)/( x ft)$

$\sf x ft = (13in*384\: in)/(7\: in) \approx 713.14\: in$

The length of an official tennis court is approximately 713.14 in or 59.43 ft

List all factor for each number 100. 65. 70

Answers

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100 .

The factors of 65 are 1, 5, 13, and 65 .

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70 .

Factors of a number are those numbers which divide a number without leaving any remainder
The factors of 65 are 1,5, 13,65 because all of these can divide 65 without leaving any remainder
The factors of 70 are 1,2,5,7,10,14,35,70 since all of them can divide 70 without leaving any remainder
The factors of 100 are 1,2,4,5,10,20,25,50,100 since all these can divide 100 without leaving any remaider

Carlos is walking on a moving walkway. His speed is given by the function C(x) = 3 x
2
+ 3x - 4, and the speed of the walkway is W(x) = x
2 - 4x + 7.
20. What is his total speed as he walks along the moving walkway?
21. Carlos turned around because he left his cell phone at a restaurant.
What was his speed as he walked against the moving walkway?

Answers

His speed was 2x² + 7x - 11 as he walked against the moving walkway.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

We are given that Carlos is walking on a moving walkway. His speed is given by the function

C(x) = 3x² + 3x - 4,

The speed of the walkway is W(x) = x² - 4x + 7.

The total speed as he walks along the moving walkway is;

x² - 4x + 7+ 3x² + 3x - 4,

= 4x² - x + 3,

Given Carlos turned around because he left his cell phone at a restaurant.

If he walked against the moving walkway

- x² + 4x - 7 + 3x² + 3x - 4,

2x² + 7x - 11

Learn more about function here:

brainly.com/question/2253924

#SPJ2

Well, for 20 you just add them, to get $4x^2-x+3$ . For 21, you do a substraction: $2x^2+7x-11$ . It'd take him quite some time (does this one even have zeros? :)) )

A sprinkler mounted on the ground sends out a jet of water at a 30o angle to the horizontal. The water leaves the nozzle at a speed of 12 m/s. (a) How far does the water travel before it hits the ground?

Answers

Answer:

12.7m

Step-by-step explanation:

The equation for motion to be used to find how far the water travels is

xf = xi + Vix(t) + 1/2axt^2

xf = 0 + ViCos α(t) + 0

xf = ViCosα(t)

xf = 12 Cos 30°(t)

xf = (6√3)t

To find the total times we will use the vertical displacement equation

yf = yi + Viy(t) + 1/2ayt^2

0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)

0 = 12Sin30°(t) - 4.9t^2

4.9t^2 = 12Sin30°(t)

4.9t^2 = 6t

Divide through by t

4.9t = 6

t = 6/4.9

t = 1.22secs

Put t = 1.22 into (6√3)t

xf = 6√3 * 1.22

xf = 12.7m

What is the mode of the data set?
23 95 100 23 100 100

Answers

Go to the second pic for your answer. I got problem 4 wrong but it shows the correct answer.

The mode would be 100

sandy has 16 roses 8 daisies and 32 tulips she wants to arrange all the flaowers in bouquets each bouquet has the same number of flowers and the same type of flower what is the greatest number of flowers that could be in a bouquet