5000 jumps for 8 hours ___ per hour

Mathematics

1 answer:

Arturiano [62]3 years ago

8 0

Answer:

This is 625 jumps an hour.

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A 10 foot ladder is leaning against a wall. Call x the distance from the top of the ladder to the ground, and call y the distanc

liq [111]

$-5.3\:\text{ft/s}$

Step-by-step explanation:

We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

$L^2 = 100\:\text{ft}^2 = x^2 + y^2$

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

$0 = 2x\dfrac{dx}{dt} + 2y\dfrac{dy}{dt}$

Solving for dx/dt, we get

$\dfrac{dx}{dt} = -\left(\dfrac{y}{x}\right)\dfrac{dy}{dt} = -\left(\dfrac{\sqrt{L^2 - x^2}}{x}\right)\dfrac{dy}{dt}$

We know that

$\dfrac{dy}{dt} = 4\:\text{ft/s}$

when x = 6 ft. So the rate at which the top of the ladder is going down is

$\dfrac{dx}{dt} = -\left(\dfrac{\sqrt{100\:\text{ft}^2 - (6\:\text{ft})^2}}{6\:\text{ft}}\right)(4\:\text{ft/s})$

$\:\:\:\:\:\:\:= -5.3\:\text{ft/s}$

The negative sign means that the distance x is decreasing as y is increasing.

5 0

3 years ago

You flipped a coin 65 times, and it landed heads side up 37 times. What is the experimental probability of it landing tails side

Eva8 [605]

Thi is it: 65-37 = 28 so 28/65

5 0

3 years ago

Read 2 more answers

Solve for x and y intercepts

Alik [6]

Answers:
Y intercept.) -3
X intercept.) 3

How?
To find intercept, you replace the values with 0. So, for the x intercept, you would replace y with 0. For y intercept, you would replace x with 0. If you have questions. Feel free to contact me!

4 0

3 years ago

Please someone help me answer this ASAP

Vsevolod [243]

Answer:

0.28 represents the growth factor

Step-by-step explanation:

Given

$f(x) = 5719(0.28)^x$