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1 year ago

Please help with 13 14 15 16

Mathematics

1 answer:

Vikentia [17]1 year ago

5 0

The domain and the range for the relations are given as follows:

13. Domain x ∈ R, range y ∈ R.

14. Domain {x ∈ Z| -4 ≤ x ≤ 4 and x is even} , range y ∈ {y ∈ Z| -1 ≤ y ≤ 4}.

15. Domain {x ∈ Z| -4 ≤ x ≤ 1} , range y ∈ {y ∈ Z| -4 ≤ y ≤ 1}.

16. Domain x ∈ R, range y ∈ R.

<h3>What are the domain and range of a function?</h3>

The domain of a function is the set that contains all possible input values. Hence, in a graph, the domain is given by the values of x.

The range of a function is the set that contains all possible output values. Hence, in a graph, the domain is given by the values of y.

For items 13 and 16, the functions are continuous, hence it is over the real numbers, and both the domain and range are all real values.

For items 14 and 15, the functions are discrete, hence it is over the integer numbers, and the domain is composed by the values assumed by x and the range is composed by the values assumed by y.

More can be learned about domain and range at brainly.com/question/10197594

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An expression to convert 50 miles per hour to miles per minute is shown.

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Answer:

(50 mi/h) (1 h/60 min)

Step-by-step explanation:

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3 years ago

Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets

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$\frac{1}{27}$

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

$\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}$

Finally, we see that the probability of all three balls landing in the same bucket is $\frac{1}{27}$

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3 years ago

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

Step-by-step explanation:

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

<u /> $g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$ <u />

<u />

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

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3 years ago

A dolphin was swimming 28 meters below the oceans surface.it changed its depth to avoid a predator and ended up 21 meters below

Harman [31]

Answer:

Step-by-step explanation:

if you go from 28 to 21 you see there is a difference of 7 and sense the number is a smaller number now we know the dolphin went up more towards the surface there for there is a change of positive 7

28-21=7

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3 years ago

Really confused please help!!

Ivenika [448]

Answer:

Step-by-step explanation:

The answer is C

Hope it helps ^^

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3 years ago