Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes 
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :

Third answer choice is right.
Answer:
0.141
Step-by-step explanation:
There are ₇C₁ ways to choose 1 woman from 7.
There are ₅C₃ ways to choose 3 men from 5.
There are ₁₂C₄ ways to choose 4 people from 12.
So the probability is:
₇C₁ ₅C₃ / ₁₂C₄
7 × 10 / 495
0.141
Answer:
You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.
Step-by-step explanation:
You have 3 1/4 pizzas. If you get rid of 3/4 of a pizza, you will end up with 2 2/4 pizzas.
To make it easier, you can just change the values into improper fractions: 3 1/4 = 13/4
13/4 - 3/4 = 10/4
10/4 = 2 2/4 pizzas
(2 2/4 = 2 1/2)
Anyways! You now have 2 and a half pizzas. You have 3 times the amount of pizza that your friend has. In other words, your friend has 1/3 the amount of pizza that you have. You can solve for this in two ways, whichever way you solve it is up to you.
- You can solve this problem by dividing the amount of food you have by 3:
which equals 0.8333... (the 3 is repeating). But you can just keep your final answer in fraction form if you want to: 
- You can solve this problem by multiplying 1/3 to the amount of food you have:

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.
The answer would be 16 because 40 divided by 5 is 8 and 8 times 2 is sixteen so it would be 16
Answer:

Step-by-step explanation:
An ellipse with vertices (-8, 0) and (8, 0)
Distance between two vertices = 2a
Distance between (-8,0) and (8,0) = 16
2a= 16
so a= 8
Vertex is (h+a,k)
we know a=8, so vertex is (h+8,k)
Now compare (h+8,k) with vertex (8,0) and find out h and k
h+8 =8, h=0
k =0
a minor axis of length 10.
Length of minor axis = 2b
2b = 10
so b = 5
General formula for the equation of horizontal ellipse is

a= 8 , b=5 , h=0,k=0. equation becomes

