All categories

3 years ago

Find the product. (0.5n^5)^2(10n^7)^3

Mathematics

1 answer:

vodka [1.7K]3 years ago

8 0

Step-by-step explanation:

$(0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} \\ = (0.5)^{2} {n}^{5 \times 2} \times {10}^{3} {n}^{7 \times 3} \\ = 0.25 {n}^{10} \times 1000 {n}^{21} \\ = (0.25 \times 1000){n}^{21 + 10} \\ \purple{ \boxed{ \bold{ (0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} = 250{n}^{31}}}}$

You might be interested in

When a business buys a fast food franchise, it is buying the recipes used at every restaurant with the same name. For example, a

den301095 [7]

Answer:

1 cup

Step-by-step explanation:

1/4= 6/24

1/3= 8/24 --------

1/6= 4/24 -------- 24/24 = 1

1/8= 3/24

8 0

2 years ago

You by 20 of your favorite songs from a website that charges $0.99 for each song. what is the cost of 20 songs?

maksim [4K]

The answer is $19.80

6 0

3 years ago

Read 2 more answers

A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho

emmasim [6.3K]

Answer

It will take (t) = 24 hours to reach 300 .

Step by step explanation

It doubles every 15 hours. initial bacteria = 100

We need to find how long it take for the bacteria cells to increase to 300.

300 = 100(2)^t/15

300/100 = 2^t/15

3 = 2^t/5

Taking "ln" both sides, we get

ln(3) = t/15 ln(2)

t/15 = ln(3)/ln(2)

t/15 = 1.585

t = 1.585 * 15

t = 23.78 hours

t = 24 hours to nearest whole hours.

Thank you.

6 0

3 years ago

Which ofnthe following shows the correct use of distributive property when solving 1/3(33-x)=135,2

madam [21]

Answer: OPTION C.

Step-by-step explanation:

The missing options are:

$A. (33 - x) = \frac{1}{3} * 135.2\\\\B. (\frac{1}{3} *33) - \frac{1}{3} x = \frac{1}{3} * 135.2\\\\C.(\frac{1}{3} * 33) - \frac{1}{3} x = 135.2\\\\D. (\frac{1}{3} * 33) + \frac{1}{3} x = 135.2$

In order to solve this exercise you need to remember the following:

1. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

2. The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case the exercise gives you the following equation:

$\frac{1}{3}(33-x)=135.2$

Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.

Then, you must multiply everyting inside the parentheses by $\frac{1}{3}$ .

Therefore,based on the explanation, you know that the correct use of the Distributive property is:

$\frac{1}{3}*33-\frac{1}{3}x=135.2$

8 0

3 years ago

What is (6,2) rotated at 270 .

erma4kov [3.2K]

Answer:

Step-by-step explanation:

8 0

2 years ago