Which of the sets shown includes the elements of set z that are both odd numbers and multiples of 7? z = {−21, −14, −7, 0, 7, 14, 21}

The set that has elements of set Z that are odd numbers and are also a multiple of 7 is:

{−21, −7, 7, 21}.

Let's recall what an odd number that is a multiple of 7 is:

Z = {-21, -14, -7, 0, 7, 14, 21}

In the set given we have the following:

However, -21, -7, 7, and 21 are all both multiples of 7 and also are odd numbers.

Therefore, the set that has elements of set Z that are both odd numbers and are also multiples of 7 is:

{−21, −7, 7, 21}

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Step-by-step explanation:

Choices for this question are

A. {−21, 21}

B. {−21, −7, 7, 21}

C. {−14, 0, 14}

D. {−21, −14, −7}

We need to pick a set that has elements of Z and they are odd number and multiples of 7.

Therefore, the right answer is

B. {−21, −7, 7, 21}

Because, this set includes all elements of set Z that are odds and multiples of 7.

The choice A doesn't include -7 and 7, which has to.

Choice C and D includes even numbers.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

b

step-by-step explanation:

the word superfluous means unnecessary