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3 years ago

14

Which two rational numbers does the root 14 lie between?

1 answer:

babunello [35]3 years ago

7 0

Root 14 is ~3.74, so it lies between 3 and 4

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A bicycle wheel has a radius of 13 inches.

Dovator [93]

The distance traveled in 1 roation is assumed to be the circumferece

c=2pir
in 13 rotations

13 times 2pir=26pir=distance traveled for 13 revolutions

r=13
d=26pi13
d=338pi
using 3.14 for pi
d=1061.32 inches

6 0

3 years ago

Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

MrMuchimi

Answer:

The function h(x) is decreasing on the interval (3, ∞).

Step-by-step explanation:

Please take a look at the attached image.

You will see a graph of the given function h(x) = -2 $\sqrt{x-3}$ . The function is decreasing.

The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).

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1 year ago

Which system of linear equations is graphed below

Komok [63]

Answer:

D

Step-by-step explanation:

7 0

3 years ago

You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

Set notation and interval notation:<br><br> -3 is less than or equal to x, which is less than 5

ASHA 777 [7]

-3 is less than 5 -3<5

4 0

2 years ago

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