Caleb spent 34.95 on 5 pounds of coffee. how much was the coffee per pound?

1 answer:

4 0

It would be $6.99. All you have to do is divide the total (34.95) by pounds of coffee (5). 34.95 / 5 will give you 6.99! You can check this by doing 6.99 * 5, which would again give you 34.95. Contact me if you need any more help. :^)

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

Solve the equation<br>-2x + 1 = -4x + 9<br>x=

Vinil7 [7]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

-2x + 1 = -4x + 9

Step 2: Solve for <em>x</em>

Add 4x to both sides: 2x + 1 = 9
Subtract 1 on both sides: 2x = 8
Divide both sides by 2: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-2(4) + 1 = -4(4) + 9

-8 + 1 = -16 + 9

-7 = -7

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3 years ago

Read 2 more answers

On a piece of paper, graph f(x) = 4 x (0.5)^x

tangare [24]

The complete question is

"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."

The given function is an exponential function. The graph of option C is the correct answer.

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

For example, $y^x$