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2 months ago

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2 months ago

For this case we have the following expression:

(7m ^ 3n) ^ 2

By power properties we can rewrite the expression as:

((7 ^ 2) (m ^ (3 * 2)) (n ^ 2))

Then, simplifying we have:

(49 (m ^ 6) (n ^ 2))

**Answer:**

**the correct simplification of the expression is:**

**(49 (m ^ 6) (n ^ 2))**

(7m ^ 3n) ^ 2

By power properties we can rewrite the expression as:

((7 ^ 2) (m ^ (3 * 2)) (n ^ 2))

Then, simplifying we have:

(49 (m ^ 6) (n ^ 2))

Question

The weather report says there is an 85% chance it will be very hot tomorrow. Should you get ready to use the air conditioner? Explain.

Solution 1

Yes because the probability rate is high.

Question

Mila wants to spend at least $20 on a classified ad in the newspaper. She has $12, how much does she need? I need an equation with an inequality please:) thank you!

Solution 1

X >= (at least symbol) $9 since she needs AT LEAST 20$ and she already has 12$ so 12+9>20

Question

Which expression gives the distance between the points (5, 1) and (9, -6)?

Solution 1

**Answer:**

**Step-by-step explanation:**

Let and be the two points.

We have to find the distance between the two points.

**The distance Formula:**

Here, we are given = (5,1) and = (9,-6)

Then, the **distance between these two points is given by:**

**Thus, the distance between the given point is .**

Solution 2

So the distance formula: d = rad (x2 - x1)^2 + (y2 - y1)^2

it doesn't matter what order you do, you just have to make sure it's a y coordinate for y and an x coordinate for x.

rad (9-5)^2 + ((-6)-1)^2

rad 4^2 + (-7)^2

rad 16 + 49

rad 65

it doesn't matter what order you do, you just have to make sure it's a y coordinate for y and an x coordinate for x.

rad (9-5)^2 + ((-6)-1)^2

rad 4^2 + (-7)^2

rad 16 + 49

rad 65

Question

Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible

Solution 1

Number of ways = 10C4 = 10 x 9 x 8 x 7 = 5040

**Answer: 5040**

Solution 2

The answer is 2 because 10/4 = 2.5 and we can't have half of a password.

Question

A net of a square pyramid is shown below. What is the surface area, in square centimeters, of the pyramid?

Solution 1

Since, you didn't upload the picture, I can only give you the steps to the problem. Then, you can find the correct answer.

To find the surface area of an object, you have to add up the areas of all the different faces. In a square pyramid, you have to find the area of the square base. Then, add it to the area of all the triangular sides.

To find the surface area of an object, you have to add up the areas of all the different faces. In a square pyramid, you have to find the area of the square base. Then, add it to the area of all the triangular sides.

Solution 2

**Answer:**

No picture so i cannot answer the question but i can guide you to support.

**Step-by-step explanation:**

The way you would do a rectangle is: The area of a rectangle is A = l × w and the way you would do the triangle is The area of a triangle is A = one half × b × h...

Hope this helps...

:)

Question

Is .8801 positive or negative

Solution 1

.8801 is a positive number.

Unless you see the negative symbol (-), it's safe to assume that it is a positive.

Unless you see the negative symbol (-), it's safe to assume that it is a positive.

Question

Which triangle has all three angle measuring less than 90°

Solution 1

Acute triangle because all the angles are less than 90

Question

What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80

Solution 1

The first quartile is the middle of the lower half of the data.

To find this you must:

1. Order the data from least to greatest.

**42, **__46, 51__, 53, **| ** 66, 70, 70, 90

2. Next, find where the middle of the data set it - see the line above

3. Look at the lower half of the data - see the bold half above.

4. Find the middle of that half - see the underlined numbers above.

5. Find the middle of the 2 numbers

__(46 + 51)__

2 = 48.5

48.5 is the 1st quartile.

To find this you must:

1. Order the data from least to greatest.

2. Next, find where the middle of the data set it - see the line above

3. Look at the lower half of the data - see the bold half above.

4. Find the middle of that half - see the underlined numbers above.

5. Find the middle of the 2 numbers

2 = 48.5

48.5 is the 1st quartile.

Solution 2

Answer:

I'm positive the answer is 48.5

Question

write and solve an inequality for this situation. To honor 50 years of business, All Strikes Bowling is having an anniversary special. Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes, how many games can he bowl?

Solution 1

To honor 50 years of **business**, All **Strikes Bowling **is having an **anniversary **special. The **game **he can **bowl **is 25.

The **unitary method** is a method for solving a problem by the** first value **of a **single unit **and then finding the **value **by multiplying the **single value.**

To honor 50 years of **business**, All **Strikes Bowling **is having an **anniversary **special.

**Shoes **rent for $1.25 and each **game **is $0.75. If **Charlie **has $20 and needs **shoes**.

**Charlie **can **bowl **25 **games**.

= 20 - 1.25

= 18.75

So, he can **bowl game**

= 18.75/ 0.75

= 25 **games**

Learn more about the** unitary method**;

#SPJ2

Solution 2

Charlie can bowl 25 games.

20 - 1.25 = 18.75

18.75/.75 = 25 games

20 - 1.25 = 18.75

18.75/.75 = 25 games

Question

13 percent of what is 78

Solution 1

13% of what is 78

"what" is the unknown, so use x for what.

"of" in math usually means a multiplication.

"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600

"what" is the unknown, so use x for what.

"of" in math usually means a multiplication.

"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600

Solution 2

I think the answer is 600

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