A. What is the slope of ABC?

The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow

Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

$d=-4x^2+1100$

Final position of the snowboarder is $d=100\ ft$

Now, plugging in 100 for 'd' and solving for 'x', we get:

$100=-4x^2+1100$

Adding -1100 both sides, we get:

$100-1100=-4x^2+1100-1100\\-1000=-4x^2$

Dividing both sides by -4, we get:

$\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250$

Taking square root and neglecting the negative root as time can't be negative. So,

$\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s$

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

7 0

3 years ago

The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two qu

masya89 [10]

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

7 0

3 years ago

1. Popeye is lifting Olive Oyl off the ground by pulling her upward with a force of 108.1 N. She is pretty thin so she only weig

Debora [2.8K]

Answer:

1 m/s2

Step-by-step explanation:

Olive Oyl's weight = 10 × 9.81 = 98.1 N

This weight is a force acting downward because it is due to gravity.

Popeye pulls Olive Oyl up with a force of 108.1 N. Both forces act vertically but in opposite directions. Hence their resultant, R, is their difference and is in the direction of the larger force.

R = 108.1 N - 98.1 N = 10 N

This force causes an acceleration, a, on the mass, m, of Popeye.

R = ma

a = R/m = 10 N/10 kg = 1 m/s2

6 0

3 years ago

Read 2 more answers

What is the percent decrease from 8.6 to 7.9

Whitepunk [10]

Answer:

= 8.13953% decrease

3 0

3 years ago

Read 2 more answers

If a cylindrical tank holds 100,00 gallons of water which can be drained from thebottom of the tank in an hour, then Torricelli’

tatyana61 [14]

Answer:

First, I think the right formula is:

$V(t) = 100,000(1-\frac{t}{60} ),20\leq t\leq 60$

A) We first derive the formula given above:

$V'(t)=-\frac{100000}{60}$

V'(t) represent the drain rate of the tank volume.

B) the units is: gallons/time

C) at V'(10) = 100000/60 = 1666.66 gallons/time.

because the formula V'(t) is constant so it doesn't depend of time.

5 0

3 years ago