Answer:
2,000 miles
Step-by-step explanation:
We are given:
This can be rewritten as:
This is representative of a unit rate, as we have a 
in the denominator. To calculate the number of miles in 
inches, simply multiply the unit rate by :
This can rewritten as:
Therefore, there are 2,000 miles in 4 inches.
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We can check our solution by simplifying the fraction by dividing both 
and by to see if we achieve the unit rate:
Since this is in fact the unit rate, our solution is correct!
You have to find 1/3 of 24, so it is 8
Answer:
6 years
Step-by-step explanation:
10,000 = 22,400(0.88)^t
Answer:
The answer to your question is: 53 in²
Step-by-step explanation:
Area = ?
Process: divide the shape in one rectangle and one triangle.
Area of rectangle
A = base x height
A = 8 x 6
A = 48 in²
Area of rectangle
base = 13 - 8
= 5 in
height = 6 - 4
= 2 in
Area = (b x h) / 2
= (5 x 2) / 2
= 10 / 2
= 5 in²
Total area = 48 + 5 = 53 in²
Answer:
a. 2^(x-2) = g^(-1)(x)
b. A, B, D
Step-by-step explanation:
the phrasing attached in the image is flagged as inappropriate, so i will be replacing it with g(x) and its inverse with g^(-1)(x)
1. replace g(x) with y and solve for x
y = log₂(x) + 2
subtract 2 from both sides to isolate the x and its log
y - 2 = log₂(x)
this text is replaced by the second image -- it was marked as inappropriate
thus, 2^(y-2) = x
replace x with g^(-1)(x) and y with x
2^(x-2) = g^(-1)(x)
2. plug this in to points A, B, C, D, E, and F
A: (2,1)
plug 2 in for x
2^(2-2) = 2⁰ = 1 so this works
B: (4, 4)
2^(4-2) = 2²= 4 so this works
C: (9, 3)
2^(9-2) = 2⁷ = 128 ≠ 3 so this doesn't work
(5, 8)
2^(5-2) = 2³ = 8 so this works
E: (3, 5)
2^(3-2) = 2¹ = 2 ≠ 5 so this doesn't work
F: (8, 5)
2^(8-2) = 2⁶ = 64 ≠ 5 so this doesn't work
