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2 years ago

7

Bill wants to rent a car.Rental Company A charges $35 per day plus $0.10 per mile driven.Rental Company B charges $25 per day pl

us $0.15 per mile

1 answer:

AlexFokin [52]2 years ago

6 0

The cheapest is car rental company A

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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

2 years ago

Can someone give me the answers I will mark u brilliant

NNADVOKAT [17]

Answer: 4+x=11

Step-by-step explanation:

4+7=11

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2 years ago

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If f(x) = -3x - 2; Find f(x)

Kamila [148]

x=-1/2

Step-by-step explanation:

if you want explanation let me know?

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2 years ago

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11. y is directly proportional to x*2 and y = a for a

IgorLugansk [536]

The expression for y in terms of "a" when value of x is doubled is $y_1=4a$

<em><u>Solution:</u></em>

Given that,

y is directly proportional to $x^2$

Therefore,

$y \propto x^2$

$y = kx^2$

Where "k" is the constant of proportionality

y = a for particular value of x

Therefore,

$a=kx^2$ --------- eqn 1

We have to find when x is doubled

x is doubled means 2x

Let it be $y_1$

Hence we get,

$y_1=k(2x)^2\\\\y_1=k \times 4x^2$ --------- eqn 2

Substitute value of k from eqn 1, we get

$y_1=\frac{a}{x^2} \times 4x^2\\\\y_1=4a$

Thus expression for y in terms of "a" when value of x is doubled is $y_1=4a$

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2 years ago

What is the correct rule for the pattern?8000,400.20.1

never [62]

Answer:

Divide by 20

Step-by-step explanation:

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