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2 years ago

Use the distributive property to fill in the blanks below

Mathematics

1 answer:

Nutka1998 [239]2 years ago

5 0

Answer:

This statement shows the Commutative Property of Multiplication. It basically says that now matter order in which you multiply, you still have the same answer because, for example, 4*5=5*4. You can multiply 4 by 5 but you could also multiply 5 by 4 because multiplication is commutative. :)

Step-by-step explanation:

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Please help, will mark brainliest!

tatiyna

A.) {4,.8,.16,.032,...}

Begin with 4 and multiply by 0.2, the ratio, to obtain successive term.

3 0

3 years ago

Read 2 more answers

Indefinite integral need help pleaseeeeeee

tatiyna

Integrate indefinite integral:
$I=\int\frac{dx}{e^{2x}+3e^x+2}dx$

Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
$I=\int\frac{du}{u(u^2+3u+2)}du$
$=\int\frac{du}{u(u+2)(u+1)}du$
2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
where A=1/2, B=1/2, C=-1
$=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}$
3. Substitute partial fractions and continue
$I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}$
$=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}$
4. back-substitute u=e^x
$=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$
$=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$

Note: log(x) stands for natural log, and NOT log10(x)

7 0

3 years ago

Corinne’s new dog pen is a rectangular pen that measures 12 yards by 4 yards. She reduced the area of her old rectangular dog pe

siniylev [52]

Answer: Check Explanation

Step-by-step explanation:

The current area is 12x4 which is 48yards^2. 60 percent of that is 48x0.4=19.2. Now you can just put some random numbers that when multiplied = 19.2. For ex. 2 and 9.6, 4 and 4.8.

5 0

3 years ago

1. Tom is 110 pounds and gains 3 pounds per year. Jerry is 120 pounds and gains 2 pounds per year. Write and solve a system of l

Alenkasestr [34]

Answer:

Step-by-step explanation:

Solve 8-3y<41.

7 0

3 years ago

How do you find the area of the missing side

Margaret [11]

Lets use a rectangle as the example because I dont know what kind of shape you're looking for.

Area of a rectangle = length * width

Length (l) = 62

Width (w) = x

Area = 744

744 = 62 * x

Divide both sides by 62

744/62 = 12

12 = x

That means the width would equal 12

12 * 62 = 744

5 0

3 years ago