Which of the following is a geometric sequence?

1 answer:

4 0

The answer is B. 6, 18, 54, 162.

A geometric sequence is a when a group of numbers are multiplied by another number. Each number in answer B is multiplied by 3.

6*3=18
18*3=54
54*3=162

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Kevin uses 2 and 1/4 cups of ravens for every half cup of peanuts when making a snack mix how many cups of raisins does Kevin us

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Answer:

For 1 cup of peanut Kevin will use $\frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups$ of raisins.

Step-by-step explanation:

Given:

$\frac{1}{2}$ cups of peanuts = $2\frac{1}{4}$ cups of raisin

$2\frac{1}{4}$ can be rewritten as $\frac{9}{4}$

$\frac{1}{2}$ cups of peanuts = $\frac{9}{4}$ cups of raisin

We need to find number of cups of raisins used in 1 cup of peanut.

Solution:

Now we know that;

$\frac{1}{2}$ cups of peanuts = $\frac{9}{4}$ cups of raisin

So 1 cup of peanut = number of cups of raisins used in 1 cup of peanut

Now by using Unitary method we get;

number of cups of raisins used in 1 cup of peanut = $\frac{\frac{9}{4}}{\frac{1}{2}}=\frac{9}{4}\times \frac{2}{1} = \frac{9}{2} \ cup \ \ \ OR \ \ \ 4\frac{1}{2} \ cup$

Hence For 1 cup of peanut Kevin will use $\frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups$ of raisins.

5 0

3 years ago

Which expression is equivalent to 36^-1/2

inn [45]

ANSWER

$( {36})^{ (- \frac{1}{2}) } = \frac{1}{6}$

EXPLANATION

The given expression is

${36}^{( - \frac{1}{2} )}$
This is having a negative index. We must first of all change to a positive index.

Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

We apply this law of exponents to get,

${36}^{( - \frac{1}{2} )} = \frac{1}{ {36}^{( \frac{1}{2} )} }$

We cab rewrite the given expression to obtain;

${36}^{( - \frac{1}{2} )} = \frac{1}{ \sqrt{36} }$

This will simplify to give us,

${36}^{( - \frac{1}{2} )} = \frac{1}{ 6 }$

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