Using the given information, the area of figure B is 315 ft²
<h3>Calculating Area </h3>
From the question, we are to calculate the area of figure B
In the given diagram, figure B is made up of a triangle and a square
∴ Area of figure B = Area of triangle + Area of square
Area of triangle = 
Where b is the base
and h is the height
Area of square = 
Where 
is the length of a side
In the diagram,
∴ Area of figure B = 
∴ Area of figure B = (15×6) + 225
∴ Area of figure B = 90 + 225
∴ Area of figure B = 315 ft²
Hence, the area of figure B is 315 ft²
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Answer:
<em>The average rate of change is $25.5 per hour, option B.</em>
Step-by-step explanation:
<u>Average Rate of Change
</u>
When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from 
to 
. It can be computed as the slope of a line
.
The provided function is
We are required to compute the average rate of change between the points
Let's compute
The average rate of change is $25.5 per hour, option B.
Answer:
Step-by-step explanation:
Part A. John will not be painting the floor area of that of the door or window openings.
Part B. Subtracting the areas of the floor, door, and window from the total surface area will provide the area to be painted so Judy is correct.
Part C.
We first need to find the area to be painted.
A=floor+2(wall1)+2(wall2)-window-door
A=14(7)+2(7)8+2(14)8-3(6)-3(7)
A=98+112+224-18-21
A=395 ft^2
Since a gallon of paint will cover 350 ft^2
395ft^2(gal/350ft^2)=1.13 gal
John will need approximately 1.13 gallons of paint. (Rounded to nearest hundredth of a gallon)
Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
The parent function is: y = 2^x and it it transformed to: y = 2^x - 3. Both are exponential functions. First we can find the value of y, when x = 0. For the 1st function: y = 2^0 = 1 For the 2nd function: y = 2^0 - 3 = 1 - 3 = - 2 We can conclude that the 2nd value of y is 3 units lower than the first. Answer: This transformation is translation 3 units down.
