<u>Given</u>:
The given expression is 
We need to determine the equivalent number.
<u>Equivalent expression:</u>
To determine the equivalent number, let us solve the expression
Thus, let us apply the exponent rule 
, we get;
Also, the term 10³ can be written as 
Thus, we get;
Dividing, we get;
0.001
Hence, the equivalent number is 0.001
Hence, Option c is the correct answer.
The average rate of change for this is the slope of the secant line that connects those 2 points (3, y) and (15, y). What we need for the slope formula of change in y over change in x are the y values which are unknown as of right now. We can find them though! Don't worry! The equation is y = .01(2)^x. Using that equation, let's sub in both the 3 and the 15 and find the corresponding y values. Subbing in first a 3 gives you y = .01(2)^3, and y = .08. Subbing in a 15 gives you y = .01(2)^15 and y = 327.68. Now we have the coordinates we need to find the slope of the secant line connecting those 2 points: (3, .08) and (15, 327.6). Fitting those into the slope formula gives us (327.68-.08)/(15-3). Simplifying that is 327.6/12 which divides out to 27.3
Answer:
a)
Step-by-step explanation:
for each point (A, B, C) reduce the 'x-value' by two and reduce the 'y-value' by 7
for example, for point A:
to find A': (-6, -7) would be (-6-2, -7-7) which is (-8, -14)
Width of the miniature model = 
inches
Length of the miniature model = 
inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual
Do cross multiplication.
⇒ x = 22
Hence the actual length of the boat is 22 feet.
Answer: Yes. On average, it takes about 455 days for 1 person to throw away 1 ton of garbage, so just over 1 year.
Step-by-step explanation: The average person throws away 4.4 pounds of trash daily. So, the way to figure this out is 2,000 divided by 4.4 to find out the number of days it would take to throw away 2,000 pounds of trash.
