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3 years ago

12

You need to arrange eight of your favorite books along a small shelf. How many different ways can you arrange the books, assumi

ng that the order of the books makes a difference to you?

1 answer:

satela [25.4K]3 years ago

3 0

Answer: 40, 320 ways

8!= 8*7*6*5*4*3*2*1

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Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

frutty [35]

Answer:

FIRST EXPRESSION:

- If $b=-3$ , the value of $4b(b+1)$ is $24$

- If $b=-2$ , the value of $4b(b+1)$ is $8$

- If $b=10$ , the value of $4b(b+1)$ is $440$

SECOND EXPRESSION:

- If $b=-3$ , the value of $(2b+7)(2b-8))$ is $-14$

- If $b=-2$ , the value of $(2b+7)(2b-8))$ is $-36$

- If $b=10$ , the value of $(2b+7)(2b-8))$ is $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$ , you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

If $b=10$ → $4(10)(10+1)=440$

- For the second expression $(2b+7)(2b-8))$ , you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

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3 years ago

What percent of 18 is 4.5?

nikklg [1K]

$\text{What percent of 18 is 4.5?}\\\\\text{Calculate what fraction of the number 18 is 4.5}\\\\\dfrac{4.5}{18}=\dfrac{45}{180}=\dfrac{1}{4}\\\\\text{Convert it to percent}\\\\\dfrac{1}{4}\cdot100\%=25\%\\\\Answer:\ \boxed{4.5\ is\ 25\%\ of\ 18}$

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3 years ago

If b=4 units and h=5 units, the area of the triangle is _____<br> units2.

mestny [16]

Answer:

Step-by-step explanation:

Area = 1/2 b h

= 1/2 * 4 * 5

= 10 unit^2.

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2 years ago

julia-pushkina [17]

The answer to this question is C

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3 years ago

Calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14

slega [8]

Answer: The volume(v) is 438.77.

Explanation: The formula for a right circular cone is in the image.

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2 years ago