Answer:
16*10^7 or 160000000
Step-by-step explanation:
combine whole numbers: 8*2
and combine exponents: 10^-3*10^10=10^7
8*2*10^7
16*10^7
160000000
Answer:
A. 4.8°
Step-by-step explanation:
We have that,
The horizontal distance for the ramp = 12 feet.
Maximum height of the ramp = 1 feet.
So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

i.e. 
i.e. 
i.e. 
i.e. x = 4.8°
Thus, the maximum angle made by the ramp with the ground is 4.8°.
Answer: option a.

Explanation:
A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.
That is the reason behind the rule:
- given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
- given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).
So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.
Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:

Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.
Answer: -80 and -3
Step-by-step explanation: By signed number, do you mean a negative or positive number? If so that means that number one is -80 because she lost 80 dollars which mean that she LOST the money. And the second number is -3 because the number DECREASED
Answer:
he will select about 5 blue marbles
Step-by-step explanation: