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expeople1 [14]
3 years ago
14

A sinusoidal function whose frequency is 3, maximum value is 15, minimum value is -3 has a y-intercept of 6.

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

Hope this will help

maxonik [38]3 years ago
3 0

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

First, we can eliminate B and C because they have the wrong vertical shift.

Since the y intercept is 6, this means the function has a vertical shift up 6 units, represented by a +6 at the end of the equation.

The amplitude is 9, found by calculating the difference between the minimum and maximum values, and dividing it by 2.

(15 - (-3)) / 2

18 / 2

= 9

Using a calculator, find the period given the frequency.

The period (coefficient of x) is 1/3.

So, putting all of these constants together, the correct equation is:

A. f(x) = 9sin(x/3) + 6

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Find the missing side length using the Pythagorean Theorem.<br> a²+6² = c²
r-ruslan [8.4K]

Answer:

18

Step-by-step explanation:

Hello!

In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

  • a² + b² = c²
  • 24² + b² = 30²
  • 576 + b² = 900
  • 324 = b²
  • b = 18

So the missing side length is 18.

6 0
3 years ago
A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 54 miles a
Alla [95]

Answer: 1,296 m iles

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Distance = Speed rate x time

  • speed rate = 54 miles per hour
  • time = 24 hours

Replacing with the values given and solving for D (distance)

D = 54 mph x 24 h = 1,296 m

The car traveled 1,296 miles

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of
Artemon [7]

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

There is a 60% chance of rain on Saturday, mean the  equation is

P(X = true) = 0.6

The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:

P(X = true) * P(Y = true)= 0.15

0.6* P(Y = true)= 0.15

P(Y = true)= 0.15/0.6

P(Y = true)= 0.25 = 25%

5 0
3 years ago
How many integers between 10 and 500 begin and end in 3?
hodyreva [135]

If from 0 - 10 there is 1 number ending in 3 (3) we'll aplly the same logic to 500.

Between 0-10 there is 3. Between 10 - 20 there is 13. Between 20-30 there is 23. Between 30-40 there is 33, etc.


If we divide 500 into 10 we get 50:

500 / 10 = 50


That means there are 50 groups of 10 in the number 500. If we know that every 10 numbers has 1 ending in 3, we multiply 1 by 50:

1 x 50 = 50

So, our conclusion is, that there are 50 numbers ending in 3 between 10 and 500.


Hope it helped,


BioTeacher101

5 0
3 years ago
Angle EFG is 80°
Lana71 [14]

Answer:

X=80°

Step-by-step explanation:

Bc it’s in the same place as angle F

8 0
3 years ago
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