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3 years ago

Why is 3 to the power 0 = 1

1 answer:

4 0

When we raise something to a power, it really justs means we are multiplying it by itself. 3^2 (3 to the power of 2) means that we are mutliplying 3 by itself: 3•3 = 9 or 3^2 = 9 (there are two 3's)

However, when we rasie something to the 0 power, it equals 1. That is because we are multiplying it by itself 0 times. We are not multiplying it by zero, we are effectively doing nothing at all. 3^0 = 1

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Which statement proves that the two circles are similar?

pochemuha

Answer: The circles B and D are similar because B can be mapped onto D by a translation of 8 units to the right and 1 unit down, followed by a dilation about its center by a scale factor of 0.5.

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2 years ago

How to write two collum proofs

sveta [45]

Answer:

When writing your own two-column proof, keep these things in mind:

Number each step.

Start with the given information.

Statements with the same reason can be combined into one step. ...

Draw a picture and mark it with the given information.

You must have a reason for EVERY statement.

Step-by-step explanation:

8 0

2 years ago

The length of the box is 2 1/2 m, it is 1 9/16 times its width. What is the height of the box if its volume is 12 3/4 m3?

skelet666 [1.2K]

Answer:

$3\frac{3}{16}$ meter

Step-by-step explanation:

We have to write first what is known from the information.

Let's say, length is L, width is W, and height is H

1. The length of the box is 2 1/2 m = 2,5 m = 5/2 m, it is 1 9/16 = 25/16 times it's width (L). So we have the equation :

L ≡ $\frac{5}{2} = \frac{25}{16} W$

Then we find the W. From the fraction above, we found W equals to $\frac{8}{5} = 1,6$ meter

2. What is the height of the box, if its volume is 12 3/4 m^3 = 51/4 m^3

Formula of a volume is :

The area wide times the height

In this problem, the equation is :

L × W × H = Volume

Insert the numbers,

$\frac{5}{2}$ × $\frac{8}{5}$ × H = $\frac{51}{4}$

From the fraction above, we can find that H equals to

$3\frac{3}{16}$ meter

3 0

3 years ago

How many solutions does the following system have

Akimi4 [234]

Answer:

C) One solution: $(\frac{1}{3}, 0)$

Step-by-step explanation:

Hope this helps!

6 0

2 years ago

Find the definite integral from 0 to 1/16 of arcsin(8x)/sqrt(1-64x^2)dx

kolezko [41]

$\displaystyle\int_0^{1/16}\frac{\arcsin8x}{\sqrt{1-64x^2}}\,\mathrm dx$

First let $y=8x$ , so that $\mathrm dx=\dfrac{\mathrm dy}8$ to write the integral as

$\displaystyle\frac18\int_0^{1/2}\frac{\arcsin y}{\sqrt{1-y^2}}\,\mathrm dy$

Now recall that $(\arcsin y)'=\dfrac1{\sqrt{1-y^2}}$ , so substituting $z=\arcsin y$ should do the trick. The integral then becomes

$\displaystyle\frac18\int_0^{\pi/6}z\,\mathrm dz=\frac1{16}z^2\bigg|_{z=0}^{z=\pi/6}=\frac{\pi^2}{576}$

8 0

3 years ago