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2 years ago

Which of the following gives all of the sets that contain -1/2?

1 answer:

3 0

ANSWER

The set of all rational numbers and the set of all real numbers.

EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,

$\frac{a}{b}$

where a and b are integers and b≠0.

The given number is

$- \frac{1}{2}$

It belongs to the set of rational numbers.

The set of rational numbers is a subset of the set of real numbers.

Hence

$- \frac{1}{2}$
also belongs to the set of real numbers.

The correct answer is A.

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Write an expression for the calculation double 2 and then add5

Lyrx [107]

So,

"double 2"
2(2)

"add 5"
+ 5

Therefore, the whole expression would be:
2(2) + 5

If you wanted to evaluate it, it would come out like this.
4 + 5
9

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2 years ago

A prism with a volume of 450 ft³ is dilated by a factor of 2. what is the volume of the dilated prism? enter your answer in the

d1i1m1o1n [39]

3600 cubed because thats what was the answer

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2 years ago

What is 15 tens - 1 gross

vampirchik [111]

Answer:

see the explanation

Step-by-step explanation:

we know that

A gross is equal to 120 ones or ten dozen

what is 15 tens - 1 gross

we know that

15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

$10(15)=150$

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12

which gives you

$10(12)=120$

The algebraic expression of 15 tens - 1 gross is equal to

$150-120=30$

Convert to word expression

3 tens

8 0

2 years ago

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean

Nana76 [90]

Answer: 0.0026

Step-by-step explanation:

Given: Mean : $\mu=8.4\text{ hours}$

Standard Deviation : $\sigma = 1.8\text{ hours}$

Sample size : $n=40$

Formula to calculate z-score :-

$z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For X=7.6 hours.

$z=\dfrac{7.6-8.4}{\dfrac{1.8}{\sqrt{40}}}=-2.81091347571\approx-2.8$

$P(X$

Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026

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2 years ago

Read 2 more answers

An anthropologist finds that a prehistoric bone contains less than 8.1% of the amount of Carbon-14 the bones would have containe

stealth61 [152]

Answer:

20,944 years

Step-by-step explanation:

The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:

$N(t)=N_{0} e^{-kt}$

where N(t) is the amount left over after the decay occurs, $N_{0}$ is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,

$8.1=100e^{-.00012t}$

Begin by dividing the 100 on both sides to get

$.081=e^{-.00012t}$

Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.

ln(.081)= -.00012t

Take the natual log of .081 on your calculator to get

-2.513306124 = -.00012t

Now divide both sides by -.00012 to get t = 20,944 years

4 0

2 years ago