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hammer [34]
3 years ago
5

Find a function of the form f(x) = a sin(bx − c) such that the graph of f matches the figure.

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

y = 3sin(2x+pi)

Step-by-step explanation:

We know that a is equal to 3 because the distance from 3 to the midpoint 0 is 3

We also know that is a phase shift of pi/2 as that is where the new start of our sine function lands

We know there is a compression of 2 as our period has changed from 2pi to pi

So naturally we change pi/2 to pi since we put the 2 inside the parenthesis

Best of luck

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The volume of a cube is 125 cubic inches. What is the length of one side of the cube? A. 5 inches B. 25 inches C. 125 inches D.
amid [387]
My answer would be B! Hope this helps
4 0
3 years ago
How much interest does Ms. Paris earn on an $1800 loan for 6 months with a simple interest rate of 8.5%?
ddd [48]

Answer:

$1136.60

Step-by-step explanation:

The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.

We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:

f(x)=1800(1 + r)^x

We also know the time intervals is 6 months. So that can be substituted as well:

f(x)=1800(1 + r)^6

They told you that the growth rate is 8.5%, which is 0.085 of 1.

f(x)=1800(1 + 0.085)^6

Add the 2 values in the parentheses and you get 1.085

f(x)=1800(1.085)^6

Now solve.

Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:

1800(1.63146751) = 2936.64152. That rounds to 2936.60

So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.

$2936.60 - $1800 = $1136.60

6 0
2 years ago
The numbers of birds Jim spots on different days during a
irina [24]
D.) 06.5. 20 words don’t mind these i just don’t know what else to say besides it’s D
8 0
3 years ago
Read 2 more answers
Assume the population has a distribution with a mean of 110 and a standard deviation of 8. For a random sample of size 40, find
VARVARA [1.3K]

Answer:

109.33

Step-by-step explanation:

given that the population has a distribution with a mean of 110 and a standard deviation of 8

Sample size n = 40

Std error of sample mean = std dev/square root of sample size

= \frac{8}{\sqrt{40} } \\=1.265

From std normal distribution table we find that 30th percentile for Z is

-0.5244

Corresponding x score =110-0.5244*1.265=109.33663

30th percentile = 109.33663

=109.33

8 0
3 years ago
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Aleonysh [2.5K]
You also need to brake down this answer farther.
4 0
3 years ago
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