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3 years ago

What are exponent rules?

1 answer:

4 0

Below is List of Rules for Exponents and an example or two of using each rule: Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. PowerRule (Powers to Powers): (a^m)^n = a^mn, this says that to raise a power to a power you need to multiply the exponents.

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the speed of sound is deterimened by the temperature of the air. The speed, c, in meters per second is given by c=331.5sqrt(1+t/

rodikova [14]

Speed = 331.5*sqrt(1+55/273.15)=365.15

4 0

2 years ago

All the edges of a cube have the same length. Tony claims that the formula SA = 6s, where s is the length of

Darina [25.2K]

Answer:

Here's what I get

Step-by-step explanation:

a. Net of a cube

Fig. 1 is the net of a cube

b. Does the formula work?

Tony's formula works if you ignore dimensions.

There are six squares in the net of a cube.

If each side has a unit length s, the total area of the cube is 6s.

c. Will the formula work for any rectangular prism?

No, because a rectangular prism has sides of three different lengths — l, w, and h — as in Fig. 2.

d. Area of a rectangular prism

A rectangular prism has six faces.

A top (T) and a bottom (b) — A = 2×l×w

A left (L) and a right (R) — A = 2×l×h

A front (F) and a back (B) — A = 2×w×h

Total area = 2lw + 2lh + 2wh

If l = 5 m, w = 6 m and h = 8 m,

$\begin{array}{rl}A &=& \text{2$\times$ 5 m $\times$ 6 m + 2$\times$ 5 m $\times$ 8 m + 2 $\times$ 6 m $\times$ 8 m}\\&=& \text{60 m}^{2} + \text{80 m}^{2} + \text{96 m}^{2}\\&=& \textbf{236 m}^{2}\\\end{array}$

8 0

2 years ago

Joe counts 250 peach trees on 25% of the land he owns. He determined that there are 10 trees for every 1,000 square feet of land

yulyashka [42]

2.3 acres is the answer.

5 0

3 years ago

Read 2 more answers

The figure for the other questions

stira [4]

I can't really measure the angles. I can tell you what they look like they'd be. There are three reasons why not.
1. The paper is slightly bulged where your hand is
2. The circle is slightly distorted by the camera. This is not that critical.
3. It is very hard to measure on a computer screen.
There is nothing you could do to make it any better. In fact, given what you had to do, this is a pretty good representation.

The Three angles -- Question 22
Using the crudest tools you could imagine, I measured the angle where you have written two 90s between the arms as 132°. That angle opens towards the bottom of the page.

The angle that you have called 95 degrees is actually pretty close. I think you read the upper set of numbers on the protractor when you should have been reading the lower set. I make it 89, but I'll bet it is intended to be 90 degrees.

The third angle on your right is the same as the first one. It comes in at about 132° using my tools again.

Question 23
I can help you with this. When you are asked to make an equation, you have to use an equal sign somewhere.

The sum of the three angles should be 360° I'm going to create an error term because I'm almost sure what I measured won't make 360. All circles when you make angles from any point inside them should make angles that add up to 360° when measured with a protractor if the rays of the angles all start from the same point. [If you don't know what a ray is, call it "the arms of the angles"].

So let's create the equation.
Angle1 + angle2 + angle3 + E = 360°
Angle1 = 89°
Angle2 = 132°
Angle3 = 132°
E is the error that represents the amount away from 360. Your teacher doesn't expect you to get this or to set it into your equation. The main thing you were supposed to do is add up the angles as you tried to do and state what your total was. This is what was expected.
Total = angle1 + angle2 + angle3
Total = 89 + 132 + 132 = 353. My error is 7° too little. So in my equation E = 7°

What to do
Somebody had to mark this with that green felt. You have a teacher. Go to the teacher and ask to be shown how to read the protractor if that person knows. You just need a bit of help. If the teacher cannot tell you, go to someone in your class who knows about that sort of thing and ask them. You're pretty close to getting it.

6 0

2 years ago

Solve the equation 4-2(x+7)=3(x+5) =

kumpel [21]

Hi there!

To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)

Let us solve your equation step-by-step.

Step 1) Simplify both sides of the equation.

To simplify this, we will...

4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)

4 + - 2x + - 14 = 3x + 15

(-2x) + (4 + - 14) = 3x + 15

Now, we combine Like Terms...

-2x + - 10 = 3x + 15

-2x - 10 = 3x + 15

Fwew! That was probably going to be the longest step here!

Step 2) Subtract 3x from both sides.

- 2x - 10 - 3x = 3x + 15 - 3x

- 5x - 10 = 15

Step 3) Add 10 to both sides.

- 5x - 10 + 10 = 15 + 10

- 5x = 25

Step 4) Divide both sides by -5.

-5x/-5 = 25/-5

So, our final answer is x = -5.

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

8 0

2 years ago

Read 2 more answers