A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 5 ​seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between​ time, t, and​ speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answers

Answer 1

Answer:

A) s=32t

B) 224 ft/s

Step-by-step explanation:

A)

In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between​ time, t, and​ speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:

y=mx+c

s=mt+c

32=1m+c

c=32-m

160=5m+C

160=5m+32-m

128=4m

m=32

c=32-m

=32-32=0

So our equation is s=32t

B)

s=32t

s=32(7)=224 ft/s


Related Questions

I need helppp plzzzzz​

Answers

Answer:

b^8

Step-by-step explanation:

Answer:

b^8, with m = 8

Step-by-step explanation:

Apply the algebraic rule: (x^a)/(x^b) = x^(a-b)

Note: This rule is true because we can cancel all b factors that occur in both numerator and denominator.

From this rule, we know that (b^10)/(b^2) = b^(10-2)

b^(10-2) can be written b^8

Find the area of the complex figure.

Answers

Answer:

it's 189 the area

Step-by-step explanation:

area =189

Solving systems of equations by graphing. how do you do this

Answers

Answer:

Solve systems of equations by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Example

[tex]\left \{ {{y=2x+2} \atop {y=x-1}} \right.[/tex]

Graph the equations in a coordinate plane

The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation:

PLEASE HELP ME WITH THIS IT IS 12 AM

Answers

Where’s the question?
130 yards? I might be wrong

Guys, please help me, I need to pass my Finals In math!! please answer these two questions with the definitions! Please please please I will mark the brainiest!!!

Answers

Answer:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Out of 200 students, 10 had a cleft chin.
What percent of students had a cleft chin?

Answers

Answer:

chin

Step-by-step explanation:

stan kim namjoon for good grades and clear skin

Answer:

5 percent

Step-by-step explanation:

200 of 10 was 5 percent

Hiiioo can you help me please?❤️:D

For a regular polygon with 3 sides, each interior angle has a measure of-

A. 60

B.45

C.30

D.120

Answers

60

 

The sum of the interior angles of a triangle is 180

if there are 3 sides then there are 3 angles

180/3=60 so each interior angle has a measure of 60

Please answer my most recent question.

what is the area of this quadrilateral
A.80 square feet
B.30 square feet
C.50 square feet
D.130 square feet

Answers

It is 50 square feet
A. 80 square feet since the area of the rectangle in the middle is 30 and then we can combine the two triangle on the top and bottom into a rectangle and find out that the area of that is 50 so 50+30=80

Find all solutions to (x+5)(2x-3)=3

Answers

Answer:x=-5.22311 and x=1.72311

Step-by-step explanation:

2x^2-3x+10x-15=3

Then put into quadratic formula and use calculator

Solve the area of a rhombus

Answers

Answer:

67.5

Step-by-step explanation:

A=pq/2= (45)(3)/2= 67.5

I need help I dont understand this​

Answers

Answer:

13

Step-by-step explanation:

Estimation on a scale drawing of a fence, 3.75 inches represent 24 feet . what. is the actual length of a second fence is 2.8 inches in the drawing?

The exact length of the second fence is __ feet. ​

Answers

Answer: 17.92 feet

Step-by-step explanation:

From the question, we are informed that the estimation on a scale drawing of a fence is that 3.75 inches = 24 feet.

Based on the above, 1 inch will be:

= 24/3.75

= 6.4 feet

Therefore, the actual length of a second fence that is 2.8 inches in the drawing will be:

= 6.4 × 2.8

= 17.92 feet


Swimming Pool On a certain hot summer's day, 630 people used the public swimming pool. The
daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled
$1170.00. How many children and how many adults swam at the public pool that day?
There were children at the public pool.
Enter your answer in the answer box and then click Check Answer.
1 pan
remaining
Clear All
CheART

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equation in two variables.

So we have to form two equations to solve this.

Let the number of children be 'x' and number of adults be 'y'.

hence, we get as,

x+y = 630 ..... (1)

and also, to their total cost spending, we get as,

1.5x + 2.25y = 1170 ...... (2)

solving (1) and (2) we get as,

Number of children were = 330

and Number of Adults were = 300

(Solved in the attachment)

?− 4 = –11
please answer in steps

Answers

Answer:

-7-4=-11

Step-by-step explanation:

-7 - 4 = -11

If you add -11 with +4 you will get -7.

So you have -11+4=-7

         and      -7-4=-11

hope this helps

Please help very important

Answers

Answer:

X=15

Step-by-step explanation:

21:28

x-9:8

Cross multiply

168=28x-252

28x=420

420/28=15

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is not divisible by 4.
Write your answers as fractions.

Answers

Probability of, Event A = 5/18
Event B = 1/2

can u give me brainliest please

i need help this is dude tomorrow

Answers

Last one,
y=x-6
________

HELP I NEED HELP WITH CIRCUMFERENCE!! What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14.

A. 4 cm
B. 3 cm
C. 8 cm
D. 7 cm

Answers

Answer:

8cm

Step-by-step explanation:

circumference formula[tex]2\pi \: r[/tex]

50 = 2(3.14)(r)

50 = 6.28r

7.9 = r

8 = r

1. Leslie visits a local department store in order to purchase summer clothes. The

price of the dress is $40. The dress is marked up 25%. What is the selling price of

the dress?

Answers

Answer:

$50

Step-by-step explanation:

Given data

We are given that the price is $40

the markup percent is 25%

Hence the price will be

40+25% of 40

=40+ 25/100*40

=40+ 0.25*40

=40+10

=$50

Therefore, the price of the dress is $50

Someone help and please make sure it’s right :)

Answers

Answer:

9

Step-by-step explanation:

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What is the area of this figure?

Answers

Answer:

You split it into two parts then add them

Step-by-step explanation:

what does 1/7 times 1/7=?

Answers

Answer:

1/49

hope it hepled:))))))))))

[tex]\frac{1}{7} *\frac{1}{7} =\frac{1*1}{7*7} =\frac{1}{49}[/tex]

The price for certain produce items at Greg's local supermarket are
shown below. How much will it cost Greg to purchase 2.5 pounds of
oranges?

HELP ASAP! DUE TODAY!

Answers

72.28 i took the test it was easy bro

What is the volume is this aquarium? 10 in. 10 in. 10 in. 10 in. 10 in. 20 in.

Answers

First you do 10 to the fifth power and multiply that times 20 witch equals 2000000

The RMC Theater holds 250 people and last night's performance was sold out! Children
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Answer:

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Step-by-step explanation:

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Answers

Answer:

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24 On 3 Items

They cost the same.

24/3

8

Answer: $8

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

triges
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Answers

The port is 34.5 miles from where they are at.

Your 80 year-old uncle goes to the doctor and says he has a positive test for prostate cancer. He comes to you and says, "You are studying math and statistics. I heard there can be false positive tests." What is the chance I actually have prostate cancer, based on my positive test? Show how you would find this probability, and then explain to him what the answer means. (Remember, you are looking at the probability of a false positive, out of all of the total positive tests)

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Cheese burger was alright
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