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2 years ago

The temperature in one northern city was -12°F and in a southern city was 57°F. How much warmer

Mathematics

1 answer:

lara [203]2 years ago

3 0

Answer

69°F

Because

12+57=69

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Solve for x. Show your work.

Korvikt [17]

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

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2 years ago

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2 years ago

Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: $y = 3 \cos(10 (x -\pi))$

We can assume the parent function to be:

$y = \cos (x)$

The new function can be represented as:

$y = A*\cos((\frac{2\pi}{B})(x-c))$

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

$y = A*\cos((\frac{2\pi}{B})(x-c))$ to $y = 3 \cos(10 (x -\pi))$

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$c = \pi$

$\frac{2\pi}{B} = 10$

Solve for B

$B = \frac{2\pi}{10}$

$B = \frac{\pi}{5}$

Using the calculated values of $A,\ B\ and\ c.$ This implies that, the following transformations occur on the parent function:

Vertically stretched by $3$
Horizontally compressed by $\frac{\pi}{5}$
Right shifted by $\pi$

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3 years ago

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If 30% of a number, n, is 120, what is 82% of n?

Naya [18.7K]

Answer:

1.28

Step-by-step explanation:

I did the math.

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2 years ago

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