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Triss [41]
3 years ago
15

What sine function represents an amplitude of 4, a period of pi over 2, no horizontal shift, and a vertical shift of −3?

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

Answer:

f(x) = 4sin(\frac{\pi}{2}x) - 3, the third one

Step-by-step explanation:

Explaining the sine function:

The sine function is defined by:

S = Asin(p(x - x_{0})) + V

In which A is the amplitude, p = \frac{2\pi}{N} is the period, x_{0} is the horizontal shift and V is the vertical shift.

So, in your problem:

The amplitude is 4, so A = 4.

The period is \frac{\pi}{2}, so p = \frac{\pi}{2}.

There is no horizontal shift, so x_{0} = 0.

The vertical shift is −3, so V = -3.

The sine function that represents these following conditions is

f(x) = 4sin(\frac{\pi}{2}x) - 3, the third one

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Shay mal e 8 2/3 cups of snacks mix she puts all the snack mix into plastic bags she puts 1/3 cup of the snack mix in each bag h
AnnyKZ [126]

Answer:

She needs 26 plastic bags.

Step-by-step explanation:

Given:

Amount of cups of snacks mix = 8 2/3

Rewriting 8 2/3 we get,

Amount of snacks mix = \frac{26}{3}

Number of Cups in each bag = \frac{1}{3}

She puts all the snacks mix in plastic bags

We need to find the number of plastic bags required to put all the snacks mix

Let number of plastic bag be x.

hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to  Amount of snacks mix.

\frac{1}{3}x=\frac{26}{3}\\\\x= \frac{26\times3}{3\times1} =26

Hence total number of plastic bags she needs is 26.

6 0
3 years ago
15. Before oil is added to a certain road surface material, the other ingredients are mixed. The mixture contains
mojhsa [17]

Answer:

sand = 3450 pounds

3/4 inch stones =6750 pounds

1 inch stones =4800 pounds.

Step-by-step explanation:

The mixture composition is :

45% three-quarter inch stones

32% inch stones and

sand for balance

The percent here is by mass of material used.

Weight of mixture is 15,000 pounds before oil addition.

Use the percent by weight for the two types of stones and calculate real values in pounds

Formula to apply is:

Mass percent = (mass of a material/ total mass of mixture) * 100

For 3/4 inch stones it will be:

0.45= \frac{x}{15000} *100\\\\0.45=\frac{x}{150} \\0.45*150=x\\x=6750

The 3/4 inch stones weigh 6750 pounds

The 1 inch stones will be

32/100 * 15000 =4800

The 1 inch stones weigh = 4800 pounds

Total for the two items : 4800+6750 =11550 pounds

The sand used weighs : 15000 - 11550 = 3450 pounds

8 0
3 years ago
How many 6 ounce cups can be filled from 4 gallons of juice
Lera25 [3.4K]
6x4 is the anwser because since there are 6 ounces so you got to multiply 6x4 which is 24
3 0
3 years ago
8+y−23k+3m What is the constant? What is the coefficient of the y term? How many terms are there?
Dimas [21]

Answer:

Step-by-step explanation:

There are 4 terms

Coefficient of y term = 1

Constant = 8

The term without variable is the constant term.

4 0
3 years ago
8 divided by two -thirds of x. PLS SOLVE THIS FOR ME ASAP​
Kaylis [27]

Answer:

12 x

Step-by-step explanation:

8 divided by two-thirds of x is

⇒ 8/2/3 × x

⇒ 8 × (3/2) x

⇒ 8×3 x / 2

⇒ 24 x/ 2

∴ 12 x

7 0
3 years ago
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