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Marta_Voda [28]
3 years ago
10

Which shapes make up this composite figure?

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer: a sphere and a cylinder

Step-by-step explanation:

The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.

A cone has a triangular form, so it can't be the other answers.

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The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti
DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

P(t)=10000(0.2)^t

1) P(0) is the population initially.

P(1) is the population after a year.

\frac{P(1)}{P(0)} represents the population increase factor.

So let's evaluate that fraction:

\frac{P(1)}{P(0)}

\frac{10000(0.2)^1}{10000(0.2)^0}

\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

P(t)=10000(0.2)^{t}

We want t to represent months.

A full year is 12 months, in a full year we have that P(1)=10000(0.2)^1=10000(0.2)=2000

So we want a new P such that P(12)=2000 since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) P(12)=10000(0.87449)^{12}=2000 \text{approximately}

b) P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}

c) P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}

d) P(12)=10000(0.87449)^{12+12}=400 \text{approximately}

So a is the function we want.

Also another way to look at this:

P(t)=10000(.2)^t where t is in years.

P(t)=10000(.2^\frac{1}{12})^t where t is in months.

And .2^\frac{1}{12}=0.874485 \text{approximately}

8 0
3 years ago
A cylinder is a type of prism.<br> true<br> false
Nadusha1986 [10]
The answer is False a cylinder is not a prism because a cylinder has curved sides
8 0
2 years ago
Are the solutions correct?
Aloiza [94]

Answer:

First one is wrong. x should be 16.

Second one is not completely visible, so cannot say.

Step-by-step explanation:

In the last step, the divison by 4 yields:

x/16 = 1, so x = 16

4 0
2 years ago
Which expression is equivalent to 3 (4x - 5)?
Rufina [12.5K]
The answer is D 12x-15
6 0
3 years ago
The net of a square pyramid is shown below:
torisob [31]

28 is the correct answer.


7 0
2 years ago
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