A rock climber is descending down a 500-foot tall cliff. After 8 minutes, the rock climber
has descended to a height of 280 feet. Find the height as a linear function of time

Answers

Answer 1

We have that The height as a linear function of time is

[tex]x=-27.5T+500[/tex]

From the Question we are told that

Time t=8 minutes

Height h=500

Descended height h_d= 280 feet.

Generally the equation for the linear function  is mathematically given as

Let

Height as a linear function =x

[tex]x=\frac{h_d-h}{t}*T+h[/tex]

[tex]x=\frac{280-500}{8}*T+500[/tex]

[tex]x=-27.5T+500[/tex]

In conclusion

The height as a linear function of time is

[tex]x=-27.5T+500[/tex]

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Related Questions

Solve for p.

8 − 4(2p − 2) = 7 + p + 9

p =

Answers

Answer:

p = 0

Step-by-step explanation:

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

What is a dichotomous key?

a tool that allows scientists to measure how much glucose is produced by plants

a tool that allows for the identification of an organism based on a series of paired statements that are based on characteristics

a tool that is used to predict the types of offspring produced when two plants are crossed

a tool that is used to measure the height of a plant

Answers

the answer is: a tool that allows for the identification of an organism based on a a series of paired statements that are based on characteristics.

Simplify 7H + 2(R + 3) – 2H

Answers

Answer:

5H + 2R + 6

Step-by-step explanation:

7H + 2(R + 3) – 2H

7H + 2R + 6 - 2H

(7H - 2H) + (2R) + (6)

5H + 2R + 6

a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it

Answers

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

Year8 Maths(Angles)

Help me plz!!

Answers

Step-by-step explanation:

a 360/9 = 40

b 2/9 × 360 = 80

c similarly 160

d 400

ILL MARK BRAINIEST IF YOU CAN DO THIS CORRECTLY!!!

Answers

Answer:

76/100

Step-by-step explanation:

19/25 * 4/4=76/100

How do you write 0.583 as a fraction?

Answers

Please mark me brainliest

0.583 583/1000 58.3%

Is the answer C or D? Please explain as well so I can understand

Answers

Answer:

c

Step-by-step explanation:

i think it's correct and helping you

What is the area of a triangle if height is 4cm find the base also plsss help me please

Answers

Answer:

This is the formula u can use but the parameters are not complete

Step-by-step explanation:

b=2 A/h

Answer:

8 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 4 * 4

= 8.

Tutorial

Sophie went to the lake with her family. First, they spent 1
1
4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?

Answers

Answer:

342 hours

Step-by-step explanation:

114 x 2 = 228

228 + 114 = 342

114 hours fishing

228 hours swimming

Hope this helps, please leave any questions in the comments. Thanks

7. Choose the correct answer. If there is direct variation and y= 27 when t= 4, find y when = 12.

a. 9

b. 0.56

c. 81

d. 1.78​

Answers

Answer:

c

Step-by-step explanation:

Given direct variation between y and t , then the equation relating them is

y = kt ← k is the constant of variation

To find k use the condition y = 27 when t = 4 , then

27 = 4k ( divide both sides by 4 )

6.75 = k

y = 6.75t ← equation of variation

When t = 12 , then

y = 6.75 × 12 = 81

how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s

Answers

Answer:

I think answer is 195.Is it right make me a braillent

student.

COULD A KIND SOUL PLEASE PLEASE PLEASE HELP ME???!!!!!!!!!!!

triangle RST is reflected across the line y = x to form triangle R’S’T’. Find the coordinates of the points R’, S’ and T’.

show how you go the answer so I can see if it makes sense!!!

Answers

Answer:

R=(-1,2), T=(-7,4) S=(-2,8)

Step-by-step explanation:

The line y=x is a diagonal line veering to the left, since I can't draw it I'll give you a link on an actual digram of a triangle getting reflect across y=x. But, I just like to do this, if for example Q=(10,-3), I just exhange the negative sign to the left, so it would equal Q"=(-10,3) (Q" means the new modified Q).

The link thingy=https://www.quora.com/What-does-it-mean-to-reflect-over-the-y-x-line

Hopes this helps (:

1. The sum of 6 times a number n and 4 times a number n is -30.
What is the number?


2. Four less than the product of 6 and a number n is -30.
What is the number? _____


3. Four less than the product of 6 and a number n is -30.
What is the number? _____

Answers

Answer:

-3

Step-by-step explanation:

1. 6n+4n=-30

10n=-30

n= -3

little confused on q2,3

1 has been answered but 2 is 6n-4=-30
6n=26 n would = 4.33 I’m pretty sure. 3 is the same as 2

Andres is on the tennis team. Last year he bought 7 tubes of tennis balls. The year before he bought k tubes. Each tube holds three balls.

a. Write an expression using parentheses to describe how many tennis balls Andres bought in the last two years.

b. Given that k=6, evaluate your expression using the distributive property.​

Answers

Answer:

A. 7(3) + 3k = total amount of tennis balls bought in 2 years

B. 39 tennis balls

Step-by-step explanation:

B. 7(3) + 3(6)

21 + 18 = 39 tennis balls

Calculate the Midpoint M of line segment AB given, A(4,-10) and B(8,4).

Answers

Answer:

(6,-3)

Step-by-step explanation:

Using midpoint formula, we have

x=(4+8)/2=12/2=6

y=(-10+4)/2=-6/2=-3

Eileen is baking a cake in a square prism shape. The volume of the cake is 224 cubic inches, and the cake has a
height of 3.5 inches. What are the side lengths of the cake?

Answers

Answer: 8 inches

Step-by-step explanation:

224/3.5 = 64

8*8=64

8in * 8in * 3.5In = 224 cubic inches

math geometry (10 points)

Answers

Answer:

100

Step-by-step explanation:

x=100

bcz vertically opposite angles

i will give brainliest to correct answer
-2^6(-5x+10)=100 solve for x

Answers

Answer:

x = [tex]\frac{37}{16}[/tex]

Step-by-step explanation:

I did this before

(10-1)(10-2)(10-3)(10-10)

Answers

Answer:

0

Step-by-step explanation:

9 × 8 × 7 × 0

anything that is multiplied by 0 equals to 0

9.8.7.0=0 because a.0=0

number name of 6 ,04,57,981​

Answers

Answer:

six crore four lakh fifty seven thousand nine hundred eighty one

The sum of 6 and x. What is the algebraic expression?

Answers

Answer:

6+x

Step-by-step explanation:

sum means add

6+x

Hey there!

When you see/hear the word “sum” in mathematics.. it usually means “to add”.

So, we are adding 6 from the unknown number (the x-value)

Answer: 6 + x

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

lines of latitude also called parallels do what​

Answers

Answer:

Hi, there!

Lines of latitude are also called parallels because they never touch one another.

Step-by-step explanation

Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:

(2x+y)^2- (y-2x)^2
pleaseee help me

Answers

Assuming you are asked to simplify the expression?

= (4x^2 + 4xy + y^2) - (y^2 - 4xy + 4x^2)
= 4x^2 - 4x^2 + 4xy + 4xy + y^2 - y^2
= 8xy

Which equation has the same solution as x2 + 16x + 9 = -3?

Answers

Answer:

Step-by-step explanation:

x² + 16x + 9 = - 3

x² + 16x + 12 = 0

D = 16² - 4(1)(12) = 208

√D = 4√13

[tex]x_{1}[/tex] = ( - 16 - 4√13 ) ÷ 2 = - 8 - 2√13 ≈ - 15.21

[tex]x_{2}[/tex] = ( - 16 + 4√13 ) ÷ 2 = 2√13 - 8 ≈ - 0.79

FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =

Answers

Answer:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).

Step-by-step explanation:

1 - n^6 = (1 - n^3)(1 + n^3)

1 - n^3 = -(n -1)(n^2 + n + 1)  and

1 + n^3 = (n + 1)(n^2 - n + 1)

So Substituting we have:

-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)

Name all the angles that have v as vertex

Answers

Step-by-step explanation:

. The vertex for angle BAC, written ∠BAC, is point A. The angle can also be named as ∠CAB or by only its vertex, ∠A. W

ALGEBRA 1 MATH PLEASE HELP !!!!

Answers

Answer:

g(x) = |x-10|

Step-by-step explanation:

In majority of cases, the h in an equation is the movement to the left and right. and if you subtract h, you move to the right, if you add h, you move to the left. So in this case, to move ten units to the right, you would have h=10. Because there are no other changes made to the equation, the new equation, g(x), is simply:

g(x) = |x-10|

The image of the point (3, -5) under a translation is (8, –4). Find the coordinates
of the image of the point (-4, -6) under the same translation.

Answers

(1,-5). The translation added 5 to 3 and 1 to -5 to get the translation point. So you add 5 to -4 and 1 to -6 to get that point.

4. Andrea's savings change by -$9 each time she
goes bowling. In all, it changed by $99 during the
summer. How many times did she go bowling in the
Summer?



I need help.

Answers

Answer:
She went bowling 11 times.

Explanation:
Divide 99 by 9 to find out how many times she went bowling. The answer comes out to be 11.
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