Answer:
A. 520 square inches is your surface area of the rectangular prism
Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:
- Vertically stretched by a factor of 4.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the base function g(x) = x² was:
- Multiplied by 4, that is, vertically stretched by a factor of 4.
- Shifted left 9 units, as x -> x + 9.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
First one:
Both the mean and median are greater for Plot A than for Plot B
Step-by-step explanation:
Set A:
Mean:
[1×10 + 2×7 + 2×6 + 2×5 + 2×4 + 1×3]/10
= 5.7
Median:
Median position: (10+1)/2 = 5.5th value
(5+6)/2
Median = 5.5
Set B:
Mean:
[1×7 + 3×6 + 3×5 + 2×4 + 1×3]/10
= 5.1
Median:
Median position: (10+1)/2 = 5.5th value
(5+5)/2
Median = 5
Mean: A is greater
Median: A is greater
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer:
5 - (N x 15)
81 x 15 = 1215
5-1215=-1210
-1210 should be the 81st term
Step-by-step explanation:
