This is the graph for the function
Answer:
Volume: 112 m³.
Surface area: 172 m².
Step-by-step explanation:
The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.
The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.
2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².
Hope this helps!
By rewriting the given line, we can see that the slope is equal to -1/2 or -0.5
<h3>
How to get the slope of the given line?</h3>
Remember that a line is:
y = a*x + b
Where a is the slope and b is the y-intercept of the line, which is the point where the line intersects the y-axis.
Then, we can rewrite our equation:
x + 2y = 16
to:
2y = 16 - x
y = (16 - x)/2
y = (-1/2)*x + 8
Comparing with the general line equation, we can see that the slope is -1/2.
If you want to learn more about linaer equations:
brainly.com/question/1884491
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<h3>Answer: Choice D</h3>
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer:
Since on July 9, Mifflin Company receives a $ 10,200, 90-day, 6% note from customer Payton Summers as payment on account, to determine what entry should be made on July 9 to record receipt of the note the following calculation must be performed :
90 days = 3 months
6/12 x 3 = 1.5%
10,200 x 1,015 = 10,353
Therefore, a debt cancellation for $ 10,200 must be made in the company's accounting records, plus an interest generation for $ 153, which will be justified by the cash income of $ 10,353.
