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cluponka [151]
10 months ago
5

I need help with this practice problem solving This is trigonometry from my ACT prep guide

Mathematics
1 answer:
Novay_Z [31]10 months ago
6 0

Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:

f(x)=A\cos (\frac{2\pi}{T}x)+b

In the given case, you have:

A = 4

T = 3π/4

b = -3

By replacing you obtain:

\begin{gathered} f(x)=4\cos (\frac{2\pi}{\frac{3\pi}{4}}x)-3 \\ f(x)=4\cos (\frac{8}{3}x)-3 \end{gathered}

Hence, the answer is:

f(x) = 4cos(8/3 x) - 3

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Cual expresion es equivalente a 5n+8 when n is equal 2
FromTheMoon [43]
If n is 2, you substitute 2 for n and multiply 5(2)+8= 10 +8 = 18
7 0
3 years ago
What percent of 150 is 162
Novay_Z [31]
To find a percentage of a number, you divide by that number.
So to find what percent of 150 162 is, you divide 162 by 150
162 ÷ 150 = 1.08
Now, to find the percentage, we take the decimal and move the point two places to the right.
1.08 = 108%
162 is 108% of 150.
5 0
2 years ago
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma
deff fn [24]

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

3 0
3 years ago
For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps d
Flura [38]

Answer:

36 laps Ronnie swim during practice .

Step-by-step explanation:

Let us assume that the laps that Ronnie swims be x .

Let us assume that the laps that Jackie swims be y .

As given

For every 3 laps that Jackie swims, Ronnie swims 4 laps.

i.e

3 × laps that Ronnie swims = 4 × laps that Jackie swims

3 × x = 4 × y

3x = 4y

Equation becomes

x + y  = 63

Thus by using 3x = 4y .

y = \frac{3x}{4}

Thus

x +\frac{3x}{4} = 63

4x + 3x = 63 × 4

7x = 252

x = 36

Put the value of x in the equation x + y  = 63

36 + y = 63

y = 63 - 36

y = 27

Therefore the 36 laps Ronnie swim during practice .

4 0
3 years ago
How to change the standard form of the equation to slope-intercept form
gavmur [86]
Example 2x + y =3
-2x -2x
——————————————
Y = 3 - 2x or y = -2x - 3
7 0
3 years ago
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