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kondor19780726 [428]
3 years ago
11

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

D.\ y = 3\sin(2(x + \frac{\pi}{4}))

Step-by-step explanation:

Given

A = 3 --- Amplitude

C = \frac{\pi}{4} --- Right phase shift

Required

Identify the function

A sinusoidal function is defined as:

y = A\sin(B(x + C)) + D

Substitute values for A and C

y = 3\sin(B(x + \frac{\pi}{4})) + D

By comparison, only option (D) has the above format where

y = 3\sin(2(x + \frac{\pi}{4}))

Hence (D) is correct

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WINSTONCH [101]

Answer:

18.5 in=decimal feet,

Step-by-step explanation:

1)18.5/12=18.512

2)18.512=1.542 feet

5 0
3 years ago
Let f(x)=x^2 and g(x)=x-2. Find (fog)(-3).​
Mnenie [13.5K]

Answer:

7

Step-by-step explanation:

(x-2)^2

x^2-4x+4

-3^2-4(-3)+4=7

4 0
3 years ago
Ranboo gave tubbo bees. 3/4 of the bees were black, 1/ 8 of the bees were yellow, and the rest were both how many bees are both
uysha [10]
12 of them are black
2 of them is yellow
2 of them are both
5 0
2 years ago
Julia surveyed twenty households on her street to determine the average number of children living in each household. the tables
Lerok [7]

The difference between the mean of the sample and the mean of the population is A. 0.55

<h3>Calculations and Parameters:</h3>

Given the population data is:

0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3

The sample data is:

5 3 0 2 4

The mean of the population data is:
45/20= 2.25

The mean of the sample data is:

14/5= 2.8

Therefore, the difference between the mean of the sample and the population is:

2.8-2.25= 0.55

Read more about mean here:

brainly.com/question/20118982

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4 0
1 year ago
Write a recursive rule and an explicit rule for the<br> sequence<br> 3,7,11,15
m_a_m_a [10]

Answer:

The Recursive formula for the sequence is:

aₙ = aₙ₋₁ + d

The Explicit formula for the sequence is:

a_n=4n-1

Step-by-step explanation:

Given the sequence

3,7,11,15

Here:

a₁ = 3

computing the differences of all the adjacent terms

7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4

The difference between all the adjacent terms is the same and equal to

d = 4

We know that a recursive formula basically defines each term of a sequence using the previous term(s).

The recursive formula of the Arithmetic sequence always involves the first term.

a₁ = 3

We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.

so

The recursive formula of the sequence is:

aₙ = aₙ₋₁ + d

substitute n = 2 to find the 2nd term

a₂ = a₂₋₁ + d

a₂ = a₁+ d

substitute a₁ = 3 and d = 4

a₂ = 3 + 4

a₂ = 7

Thus, the recursive formula for the sequence 3,7,11,15 is:

aₙ = aₙ₋₁ + d

<u>An explicit rule for the sequence</u>

Given the sequence

3,7,11,15

We already know that

a₁ = 3

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 3 and d = 4

a_n=4\left(n-1\right)+3

a_n=4n-4+3

a_n=4n-1

Therefore, an explicit rule for the  sequence

a_n=4n-1

6 0
2 years ago
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