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kodGreya [7K]
2 years ago
15

What is the frequency of the function f (x). f (x) = -2sin x/4 +3

Mathematics
1 answer:
Rzqust [24]2 years ago
8 0

Answer: 8\pi

Step-by-step explanation:

The period is \frac{2\pi}{1/4}=8\pi.

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three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although t
elena-s [515]

Answer:

Alice will have to pay $13.33

Ben will have to pay $23.33

Kelvin will have to pay $43.33

Step-by-step explanation:

Given that

Alice destination is 20 miles away

Ben destination is 30 miles away

Calvin destination is 40 miles away.

For a mile, taxi costs 2 dollars.

To find:

How much each person has to pay if they share the same taxi to their respective destinations?

Solution:

For the first 20 miles, the taxi will be shared by all 3 of them.

Charges for 20 miles = 20 \times 2 = $40

This $40 will be shared among all 3.

Each will pay = \frac{40}{3} = \$13.33

Charges for Alice = $13.33

Charges for Ben = $13.33

Charges for Calvin = $13.33

For the next 10 miles, the taxi will be shared by Ben and Calvin.

Charges for 10 miles = 10 \times 2 = $20

This $20 will be shared between Ben and Calvin.

Each will pay = \frac{20}{2} = \$10

Charges for Alice = $13.33

Charges for Ben = $13.33 + 10 = $23.33

Charges for Calvin = $13.33 + 10 = $23.33

For the next 10 miles, Calvin travels alone.

Charges for 10 miles = 10 \times 2 = $20

This $20 will be paid by Calvin alone.

Charges for Alice = $13.33

Charges for Ben = $23.33

Charges for Calvin = $23.33 + 20 = $43.33

3 0
3 years ago
A community is building a square park with sides that measure 145 meters. To separate the picnic area from the play area, the pa
Natasha_Volkova [10]
You can solve this problem by using the pythagorean theorem.
{a }^{2}  +  {b}^{2}  =  {c}^{2}
Where the a- and b-values represent the sides of the triangle. Since the park is a sqaure, each side is equal. This means that both the a-value and the b-value are the same. Now, you must find the c-value.

145^2 + 145^2 = c^2

21,025 + 21,025 = c^2

42,050 = c^2 *now square root each side of the equation.*

205.06 = c

The length of the diagonal line is 205 meters.
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Answer:

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Step-by-step explanation:

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