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2 years ago

What is the period of the graph y=1/2sin (pix)+3? A- 3 B- 1/2 C-pi D-2

Mathematics

1 answer:

dimaraw [331]2 years ago

3 0

The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.

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Find the first five terms that correspond with the following expression.<br><br> 4n + 2

Lorico [155]

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1 4(1)+2 = 4+2 = 6

Let n=2 4(2)+2 = 8+2 = 10

Let n=3 4(3)+2 = 12+2 = 14

Let n=4 4(4)+2 = 16+2 = 18

Let n=5 4(5)+2 = 20+2 = 22

7 0

2 years ago

What does it mean when a question number is circled in a textbook

RoseWind [281]

This is only my opinion. I could be wrong.

My guess is:

Somebody else used that book before you, maybe last year or
the year before, and it was somebody who didn't mind writing
in his book.

One day he didn't have time to write down the homework in his
assignment notebook, so he just circled the homework problems
in his textbook.

5 0

3 years ago

HELP ME PLEASEEEE!!!!ORDER THESE BY VALUE FROM LEAST TO GREATEST!!!

Advocard [28]

Answer: 5,15,20,25,45

Step-by-step explanation:

1st is 20, 2nd is 25, 3rd is 15, 4th is 45, 5th is 5

5 0

3 years ago

Need help on this problem

soldier1979 [14.2K]

Hey there!

Let's look at our graph here. It is a 4 x 8 chart, which means there are 32 total squares. 12 of these squares are highlighted in black. This gives us 12/32, which is equal to 3/8. Therefore, we can eliminate answer D as an option.

Now, we are looking for a percent of a fraction. Usually when you draw a chart that represents multiplying fractions, the bars will overlap. We do see 5 gray squares, but if that is all, this chart would not really represent anything. Let's say it goes all the way across the top, giving us 8 gray squares, 3 of them also being black.

This means we have 8/32, or 1/4 as our other fraction. As we said before, 3 of these squares are both black and gray. This is 3/32, so the answer to our problem has to be 1/12.

We have fractions 3/8 and 1/4.

$\frac{3}{8}(\frac{1}{4})=\frac{3}{32}= \frac{1}{12}$

Therefore, our answer is H.

I hope this helps!

3 0

3 years ago

The population f(x), in millions, of State A of a country after x years is represented by the function shown below:

OverLord2011 [107]

Option 1 is correct. The correct solution about these functions is that The original population of State A was double of the original population of State B.

<h3>How to solve for the solution</h3>

The function in the question is given as

$F(x) = 4*(1.08)^x$

$g(x) = 2*(1.08)^x$

The exponential growth equation that is used to solve this is

$h(x) = A(r)^x$

such that A is the initial and r is the rate of growth.

f(x) and g(x) are at the same rate but the exponential function is known to grow faster.

Hence the correct option is The original population of State A was double of the original population of State B.

<h3>Complete question:</h3>

Which conclusion is correct about the population of State A and State B? 1. The original population of State A was double of the original population of State B.

2. The original population of State A was half of the original population of State B.

3. The original population of State B was one-fourth of the original population of State A.

4. The original population of State A was one-fourth of the original population of State B.