Answer:
4 pies
Step-by-step explanation:
Hello!
We know that 12 apple pies are 75 percent of the total apple pies.
Let x = # of pies total.
This means that 75% of x, or 0.75x is 12
Solve:
- 75% of x = 12
- 0.75x = 12
- x = 16
Now, 16 is the total number of pies. To find the number thrown out, we subtract 12.
16 - 12 = 4
4 pies were thrown out
Answer:

Step-by-step explanation:
We want to simplify:

To simplify this, we need to write the negative index as positive.
So we use the property,

When we apply this property, we get:

Therefore the fourth option is correct.
Part A:
Yes this is a function of x. Specifically the function is f(x) = x^2
The inputs (x) are squared to get the outputs (y).
For example,
f(x) = x^2
f(-3) = (-3)^2 <<--- input is x = -3
f(-3) = 9 <<--- output is 9
The pair of values -3 and 9 are shown in the table (column on the very right side)
The fact that each input leads to exactly one output is what makes this a function. If we had an input lead to multiple outputs, then it wouldn't be a function.
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Part B
Replace every x with 150 and then use the order of operations PEMDAS to simplify
f(x) = 20+3x
f(x) = 20+3*x
f(150) = 20+3*150 <<--- x has been replaced with 150
f(150) = 20+300
f(150) = 320
So the value of f(150) is 320
The input is 20
The output is 320
x is the number of hours
y or f(x) is the total cost
So this means f(150) = 320 represents the idea that 150 hours of renting the rowboat leads to a total cost of $320
Answer:
2,122.64 square units or
units squared
Step-by-step explanation:
The surface area of a sphere can be found using the formula
. Since the radius is 13 units, substitute r=13.

Without multiplying 3.14 for
, the answer is
