Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above the ground, H, after t seconds?

Answers

Answer 1

Answer:

The equation is H = 495 -6t

Step-by-step explanation:

Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.

The height we want to calculate is H. The initial height is 495 foot;

At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t

Ask the height after t seconds will be;

H = 495 - 6t

Where t represents the time in seconds


Related Questions

what is the solution to 1/5y+1/8=3/20​

Answers

Answer:

y=1/8

Step-by-step explanation:

Aaron throws a ball off the top of a building. The path of the ball can be modeled by
the equation y=-3x2 + 8x + 42 where y is the height of the ball and x is the time in
seconds since the throw.
A. How long will it take for the ball to hit the ground? Show all work to receive
credit
B. How tall is the building?

Answers

Answer: A: 60, since x = the amount of seconds and the 8 represents the seconds then you'll add 8x+42 and get 60

B: 54, now in this step find what -3x2 is which give you -6  since they're different signs then subtract and your answer will be 54

Step-by-step explanation:

Point V lies between points U and W on line UW. The distance between U and V is 2x-4, and the distance between V and W is 4x+10. If UW = 9x – 9, what is UW in units?

Answers

Answer:

36UNITS

Step-by-step explanation:

If point V lies between U and W, then UV+VW = UW

given parameters

UV = 2x-4

VW = 4x+10

UW = 9x-9

Substituting the given functions in the formula first, we will have;

2x-4+4x+10 = 9x-9

6x+6 = 9x-9

Collect like terms

6x-9x = -9-6

-3x = -15

x = -15/-3

x = 5

Substitute x = 5 into UW.

Since UW = 9x-9

UW = 9(5)-9

UW = 45-9

UW = 36

Tom worked 48 hours last week and gets time-and-a-half pay for overtime. His regular pay is $32 per hour. a) How much does he make for an hour of overtime?

Answers

Answer:

$48

Step-by-step explanation:

From the question we know that;

His regular pay is $32 per hour.

Tom worked 48 hours last week and gets time-and-a-half pay for overtime.

Time and a half pay = 1.5

Hence, if Tom works for an hour of overtime, his pay for his overtime is calculated as:

= 1.5 × $32 × 1

= $48

Therefore, he was paid $48 for one hour of overtime.

14. 9(y - 4) - 7y = 5(3y - 2
step by step please​

Answers

Answer:

y=-2

Step-by-step explanation:

9(y−4)−7y=5(3y−2)

(9)(y)+(9)(−4)+−7y=(5)(3y)+(5)(−2)

9y+−36+−7y=15y+−10

(9y+−7y)+(−36)=15y−10

2y+−36=15y−10

2y−36=15y−10

Step 2:

2y−36−15y=15y−10−15y

−13y−36=−10

Step 3:

−13y−36+36=−10+36

−13y=26

divide

/13     /13

y=-2

Answer:

y=-2

Step-by-step explanation:

Simplifying

9(y + -4) + -7y = 5(3y + -2)

Reorder the terms:

9(-4 + y) + -7y = 5(3y + -2)

(-4 * 9 + y * 9) + -7y = 5(3y + -2)

(-36 + 9y) + -7y = 5(3y + -2)

Combine like terms: 9y + -7y = 2y

-36 + 2y = 5(3y + -2)

Reorder the terms:

-36 + 2y = 5(-2 + 3y)

-36 + 2y = (-2 * 5 + 3y * 5)

-36 + 2y = (-10 + 15y)

Solving

-36 + 2y = -10 + 15y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-15y' to each side of the equation.

-36 + 2y + -15y = -10 + 15y + -15y

Combine like terms: 2y + -15y = -13y

-36 + -13y = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0

-36 + -13y = -10 + 0

-36 + -13y = -10

Add '36' to each side of the equation.

-36 + 36 + -13y = -10 + 36

Combine like terms: -36 + 36 = 0

0 + -13y = -10 + 36

-13y = -10 + 36

Combine like terms: -10 + 36 = 26

-13y = 26

Divide each side by '-13'.

y = -2

Simplifying

y = -2

What is the next term of the geometric sequence?
2, 10, 50,

Answers

Answer:

5

Step-by-step explanation:

2*5=10

10*5=50

Answer:

250

Step-by-step explanation:

as it raises it it multiplying by 5

What is the answer to this question?

Answers

-160,25 are the coordinates

) A train leaves Hamilton at 9.50 am and arrives in Wellington at 7.25pm. Work out, in hours and minutes, the time taken for this journey.

Answers

this is your answer.............

How many solutions are there to the equation below?
6x + 30 + 4x = 10(x+3)
O A. 1
B. Infinitely many
O c. o

Answers

Answer:

B

Step-by-step explanation:

6x + 30 + 4x = 10(x+3)

10x + 30 = 10x + 30

0 = 0

Eliza started the week with $274 in her bank account. This week she babysat for 16 hours and made $144.25. Eliza then went to the store and bought a new video game for $57.99, how much does she have left at the end of the week after buying her video game?

Answers

Hi. I hope this helps!

I believe the answer is 330.26 left.

1. First you add 274 and 144.25

You get 388.25

2. The. You subtract the amount of the video game from 388.25

You get 330.26

I hope this helps! Have a great day!

find the y-intercept of the linear equation -x+8y=4 y-intercept=?

Answers

y-intercept is 1/2. y= -1/8x + 1/2

Jarrett wants to buy a really cool car but it costs $4,350 and he doesn’t have a job. The only job he can find will pay him $7.25 an hour and he can only work 20 hours a week. (Ignoring taxes and deductions) how many weeks will he need to work before he has earned enough money to buy the car?

Answers

Answer:

30 weeks

Step-by-step explanation:

7.25 x 20 = 1 WEEK

1 WEEK= 145$

4,350 divided by 145=30

30 weeks

Rewrite the equation by completing the square.
f(x) = x^2 - 2x + 17
f(x) = (x + |?|)^2 + |?|

Answers

Answer:

f(X)= (x-1)²+16

Hope this helps

can u help me with the problem below


(-4)- 6​

Answers

Since you are subtracting a negative you would add them together equaling -10

-10 when your subtracting negative number of them together


A scale drawing of a rectangular garden has sides that measure 12 inches by 18 inches. The scale of the drawing is 1 inch =
is the area of the actual garden

Answers

Answer:

area is 216

Step-by-step explanation:

Please Help! I need the answer.

Answers

Answer:

56

Step-by-step explanation:

Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.


P goes and sits down on stool 4. Q does not want to sit on a stool that is immediately next to P's. Keeping this in mind, in how many different ways could Q, R and S arrange themselves on the remaining stools?


A) 6
B) 4
C) 3
D) 2

Answers

the answer is B I’m pretty sure

i need help plz : ​Look at the representations shown in the Math Notes box for this lesson (“Representations of Portions”). Write a fraction and a percent for the shaded portion of each one.

Answers

A. 1/3 b.1 1/2 c.2/3

What is the solution to this system of linear equations? 2x + y = 1 3x – y = –6 (–1, 3) (1, –1) (2, 3) (5, 0) 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. Boxes were sold? 6 9 12 15

Answers

Answer:

  (-1, 3)

Step-by-step explanation:

Only the first question is complete.

You want to solve ...

  2x +y = 1

  3x -y = -6

You can add these two equations to get ...

  5x = -5

  x = -1 . . . . . divide by 5

This matches the first choice: (-1, 3).

Answer:

A: (-1,3) is the correct answer to the problem.

Step-by-step explanation:

I just did the a quiz with that question and A is the answer.

Order the numbers from least to greatest -1 4/5 , -7/4, 3/2, (-2.2)​

Answers

Answer:

-2.2, -1 4/5, -7/4, 3/2

Step By Step:

I just converted all into decimals;

-1.8, -1.75, 1.5, -2.2

Then ordered them;

-2.2, -1.8, -1.75, 1.5

Help please idk how to do this

Answers

I hope this helped and have a great day.

You need to times 2/3 twice

-2/-3 * -2/3

2. You Shade IN for an AND problem.
a. True
b. False

Answers

Answer:

aogswoans skskdme skdbdnshsbemdhdksjdhskd

Answer:

B. False

Hope this helps!

Tristan wants to build a square garden in his backyard. If the garden is going to be 64 ft squared,
how many feet of material will he need for the perimeter of the garden? *

Answers

Answer:

32

Step-by-step explanation:

8*8=64

8+8+8+8=32

(because there are 4 sides)

Answer:

32

Step-by-step explanation:

A student walked for 30 minutes at an average speed of 18 meter/min. What is the student’s distance traveled?
-:---:--

0.17 meters

9 meters

54 meters

540 meters

Answers

the answer is 540 meters

Help me please,what is the value of C-F?​

Answers

Answer:

B = - 0.75

C = - 0.25

E = 0.25

F = 0.75

What is the answer please show work 7x + 4 = 5x + 10

Answers

Answer:

x=3

Step-by-step explanation:

subtract 5x from 7x

subtract 4 from 10

divide 2x and 6 by 2

Answer:

x=3

Step-by-step explanation:

7x +4 =5x +10

7x - 5x =10 - 4

2x =6

x=6 :2

x=3

7 ×3 +4 =5 ×3 +10

21 +4 =15 +10

25 =25

Need your help please. Please help me.

Answers

Answer:

0.08

Step-by-step explanation:

(4/5)/10 =

= 4/5 : 10/1

= 4/5 × 1/10

= ²⁾4/50

= 8/100

= 0.08

Find the coordinates of the midpoint of segment H X given that H(–1,3) and X(7,–1). A. (3, 1) B. (0, 4) C. (–3, 1) D. (–4, 0)

Answers

Answer:

A [tex]MP= (3,1)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]

[tex]MP= (\frac{-1+7}{2})(\frac{3+-1}{2})[/tex] -1+7=6 3+-1=2

[tex]MP= (\frac{6}{2})(\frac{2}{2})[/tex] 6/2=3 2/2=1

[tex]MP= (3,1)[/tex]

Graph t> -2 on a number line

Answers

Answer:

Step-by-step explanation:

Find the square root 64/100

Answers

Answer: 4/5

Step by Step:

After finding the square root of 64/100, the value obtained in terms of a fraction will be 4/5.

What is a fraction?

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

The given fraction is,

The square root of 64/100

So,

√64 = 8 and,

√100 = 10

Then, the fraction will be,

= 8/10 = 4/5

To know more about Fraction:

https://brainly.com/question/10354322

#SPJ2

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