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USPshnik [31]
3 years ago
11

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y

and 16 Expression: When y=20, the value of the expression is
Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

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How do you find the amplitude, period, and shift for f(x)=−4cos(3x−π)+1?
Orlov [11]

Answer:

(a) Amplitude = 4

(b) T = \frac{2\pi}{3} --- Period

(c)

C = \frac{\pi}{3} --- phase shift

D =1 --- vertical shift

Step-by-step explanation:

Given

f(x) = -4\cos(3x - \pi) + 1

Rewrite the function as:

f(x) = -4\cos(3(x - \frac{\pi}{3}) + 1

Solving (a): The amplitude

A cosine function is represented as:

f(x) = A\cos[B(x - C)] + D

Where:

|A| \to Amplitude

So, in this equation (by comparison):

|A| = |-4|

|A| = 4

<em>The amplitude is 4</em>

Solving (b): The period (T)

This is calculated as:

T = \frac{2\pi}{B}

By comparison:

B =3

So:

T = \frac{2\pi}{3}

Solving (c): The shift

The phase shift is C

The vertical shift is D

By comparison:

C = \frac{\pi}{3} --- phase shift

D =1 --- vertical shift

3 0
3 years ago
(32 thousands 1 hundred 4 ones) ×10
Vlad1618 [11]

Answer:

321,040

Step-by-step explanation:

3 0
4 years ago
Solve the differential equations
Tema [17]
Try scanning it on the camera maybe brainly knows how to answer this?
7 0
3 years ago
Which number line shows the solutions to n &gt; 3?
oksano4ka [1.4K]

Answer:

The second one.

Step-by-step explanation:

The hollow dots represent > or < depending the direction of the arrow. The filled dots represent less than or equal to. So the second.

3 0
2 years ago
Read 2 more answers
A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punc
Makovka662 [10]
A. We know the amounts needed for 18 serving, so we can use proportions to scale this up to 108 cups. It is easy once you realize that 4 cups + 8 cups + 12 cups = 18 servings, and 18 * 6= 108, therefore you will need 6 times the amount of ingredients equally proportionated to each of the juices/seltezer. Therefore, we would need 24, 48, 72 cups of pineapple juice, orange juice, and seltzer.


b. Adding 4, 8, and 12 together, we get 24. 108 cups/24 cups of ingredients = 4.5 servings.

c. Using ratios, we see that we use 8 cups of orange juice for every 12 cups of seltzer. Dividing each side by 12, we get that we use 2/3 cups of orange juice for each cup of seltzer.
5 0
3 years ago
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