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3 years ago

8

Find the number of ways you can arrange (a) all of the letters and (b) two is the letters in the word ROCK. a. The number of way

s you can arrange all of the letters in the word is __. b. The number of ways you can arrange two of the letters in the word is __.

1 answer:

QveST [7]3 years ago

3 0

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

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SVETLANKA909090 [29]

Answer: $32009355.90cm^3$

Step-by-step explanation:

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What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.

$12/2=6ft$ this is the radius.

Now plug all this information into your formula.

$V=(3.14)(6ft)^2(10ft)\\V=(3.14)(36ft^2)(10ft)\\V=1130.40ft^3$

Our values are in feet but the question requires cm. Let's convert from $ft^3$ to $cm^3$ .

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$1ft=30.48cm$

Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.

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3 years ago

Question 1) When multiplying powers with the same base, keep the base and _______________ the exponents.

nika2105 [10]

The rules are

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Let me show you why with a couple of examples: suppose we want to multiply

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Since powers are just repeated multiplications, we have

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Step-by-step explanation:

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3 years ago

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Semmy [17]

Answer: Option b

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Step-by-step explanation:

Linear equations have the following form:

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4 years ago

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denis-greek [22]

Answer:

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Step-by-step explanation:

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