Ask question

Ask question

All categories

3 years ago

14

Jessica just put 14.41 gallons of fuel into her car. There were 3.6 gallons in the car to begin with. How much fuel is in jessic

as car now PLEASE HURRY!!

1 answer:

SIZIF [17.4K]3 years ago

8 0

Answer:

18.01 gallons

Step-by-step explanation:

14.41

3.6

=18.01

You might be interested in

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago

Sally’s income has increased by 10% and she decides to change her consumption of macaroni and cheese from 10 boxes to 8 boxes. H

UNO [17]

Answer:

-2; Inferior good

Step-by-step explanation:

Given that,

Initial Quantity = 10 boxes

New Quantity = 8 boxes

Percentage increase in Sally's income = 10%

Change in consumption:

= 8 boxes - 10 boxes

= - 2 boxes

Percentage change in quantity demanded:

= (Change in quantity demanded ÷ Initial quantity) × 100

= (-2 ÷ 10) × 100

= - 20%

Therefore,

Income elasticity of demand:

= percentage change in quantity demanded ÷ Percentage change in income

= - 20% ÷ 10

= -2

Inferior goods are generally have a negative income elasticity of demand which means that an increase in the income of the consumer will lead to reduce the quantity demanded for inferior good and vice versa.

Hence, the good is a inferior type of good.

6 0

3 years ago

Recyclers pay five cents for every two aluminum cans recycled. how much are 100 cans worth?

Tpy6a [65]

Answer:

500

Step-by-step explanation:

Easy just times 5x100 or you could do 10, 20, ect 50 times in order to get 500. Sorry if this wasn't helpful lol.

5 0

3 years ago

Which point is a solution to the inequality shown in this graph?<br> (3, 2)<br> (-3, -6)

grigory [225]

Answer:

how am I supposed to give an answer if I can't see the graph

3 0

3 years ago

Y varies directly as cube root of

andreev551 [17]

Step-by-step explanation:

Y varies directly as cube root of x is written as

y = k³√x

where k is the constant of proportionality

<h2>A).</h2>

when y = 3

x = 27

We have

$3 = k \sqrt[3]{27}$

But ³√27 = 3

That's

3 = 3k

Divide both sides by 3

k = 1

<h3>The value of the constant is 1</h3>

<h2>B).</h2>

The value of the relationship is

<h2> $y = \sqrt[3]{x}$ </h2>

<h2>C).</h2>

When x = 8

We have

<h2> $y = \sqrt[3]{8}$ </h2>

<h3>y = 2</h3>

Hope this helps you

4 0

3 years ago