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:
89m
Step-by-step explanation:
First, find the area of the rectangle (ignoring the missing triangle inside). The area of the rectangle is its base times its height, which is 8*13=104.
Next, find the area of the triangle. The area of the triangle is its base times height, divided by two.
The width of one side of the rectangle is 13, and the width of the side of the rectangle is 8 (4 + 4). Therefore, subtract 8 from 13 and the missing section in the side of the rectangle is 5. 5 is equal to the base of the triangle.
The height of the triangle is given, which is 6. As stated before, the area of a triangle is its base times height divided by two, which is 5*6/2 in this case. The area of the triangle is equal to 15.
Now, subtract the area of the triangle from the area of the rectangle. 104-15=89.
Answer:
We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.
The equation of the least squares regression line is:

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:


Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.
1 peso = 0.053 dollars.
x pesos = 400 US dollars.
1/x = 0.053 / 400 Cross multiply
400 * 1 = 0.053 x Divide by 0.053
400/0.053 = 0.053*x / 0.053
7547.17 pesos which rounded is
Answer: 7547 pesos
Answer:
0.25
Step-by-step explanation:
Scale factor = ratio of the sides
Assuming the first rectangle is with shorter side 6,
Scale factor = 1.5/6 = 15/60 = 1/4 = 0.25