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2 years ago

Can someone help me with these 3 questions. Sorry for the annoyance.

Mathematics

2 answers:

erastova [34]2 years ago

4 0

Answer:

the first one is 37

the second one is 36

the third one is 27

Step-by-step explanation:

Gala2k [10]2 years ago

3 0

X=4 means the variable is 4!

4(2)= 8 + 15

2. 27

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katovenus [111]

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3 years ago

Read 2 more answers

A fish tank hold 15 gallons of water. Jordan is using a 1-pint container to fill the fish tank. Complete the table to help you f

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Answer: 8, 40, 80, 120

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3 years ago

Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

2 years ago

What’s the correct answer

vitfil [10]

the answer should be 1/5 because its one out of all the five choices

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3 years ago

For each shape in the table, list three examples of real-world objects that could be modeled by the shape. Use your experiences,

marishachu [46]

Interesting question. Let's see.

Rectangular Prism: any box (like a shoe box or a packing box).

Triangular Prism: We're not supposed to give personal answers, but I can't help it with this. When I was growing up, our front door's window had a triangular prism beveled around its edges. What made it so remarkable was that it broke up the light into a rainbow of colors on the floor.

Cylinder. Many drinking glasses are in the shape of a cylinder. Also old fashioned water towers were cylindrical in shape.

Cone: a kitchen funnel is an upside down cone. Some funnels don't have a spout, so that makes them true cones.

Pyramid: The pyramids for the Pharaohs in Egypt.

Sphere: Any ball (beach ball, baseball basketball soccer. Some storage shapes for spices -- technically not a perfect sphere). Planets. The sun. (The earth is almost a perfect sphere).

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2 years ago