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3 years ago

13

Which of the following is the solution |x-15|<4

1 answer:

ohaa [14]3 years ago

5 0

Answer:

Inequality Form:

11<x<19

Interval Notation:

(11,19)

Step-by-step explanation:

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Lillian borrows $10,000. She borrows some from her friend at 8% annual interest, twice as much as that from her bank at 9%, and

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$3000 from friend, $6000 from bank, and $1000 insurance

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3 years ago

Read 2 more answers

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

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3 years ago

4 fair coins are tossed. What is the probability that all the outcomes are heads?

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4 years ago

Surface area of cylinder

steposvetlana [31]

Answer:

The answer is C. $256\pi$ $in^2$ .

Step-by-step explanation:

To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is $SA=2\pi rh+2\pi r^{2}$ . Next, plug in the information given from the problem into the formula, which will look like $SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})$ . Then, simplify the equation, which will look like $SA=(128in)(\pi) +(128in)(\pi)$ . The next step is to simplify the equation further, which will look like $SA= 256\pi$ $in^{2}$ . The final answer is $256 \pi$ $in^2$ .

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3 years ago

A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sel

lukranit [14]

Answer:

Cy-Cx=10,000 this is the best answer ever

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