Use a net to find the surface area of the right triangular prism shown below: Three rectangles next to each other with a width of 7 feet. The first and second rectangles length are unknown, and the last is 10 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 6 feet and a height of 8 feet.
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The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probability of both events occurring, in that order?A. P(A + B) B. P(A) • P(B) C. P(A) + P(B) D. P(A x B)
Help me !!! Solve: 3b − 2 = 7
Which temperature is colder :- 2 degree calcius or -5 degree celcius
Melinda rents paddle boats down at the pier. She uses 5.5 feet of nylon rope to tie off each boat. She started with 80 feet of rope. After securing all the boats, she was left with more than 3 feet of rope. How many boats did Melinda tie off?
Translating word problems to algebraic expressions: One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?
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Answer:
Stephan's dog weighs 60 pounds.
Step-by-step explanation:
4x + 2y = 6
2) 5x + 2y = 12
-6x - 2y = -14
3) 5x + 4y = 12
7x - 6y = 40
4) 5m + 2n = -8
4m + 3n = 2
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y=-2
4x+2(-2)=6
4x-4=6
4x=10
x=5/2
(5/2,-2)
-x=-2
x=2
5(2)+2y=12
10+2y=12
2y=2
y=1
(2,1)
35x+28y=84
-35x+30y=-200
58y=-116
y=-2
5x+4(-2)=12
5x-8=12
5x=20
x=4
(4,-2)
20m+8n=-32
-20m-15n=-10
-7n=-42
n=6
5m+2(6)=-8
5m+12=-8
5m=-20
m=-4
(-4,6)
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Final answer:
A t-chart representing the y = |5x| shows pairs of x and y values, where y is the absolute value of 5 times x. Whether x is negative or positive, y is always positive, demonstrating the dependence of y on x in the total value context.
Explanation:
The absolute value equation given is y = |5x|. A t-chart representing this equation would list several values of x against their corresponding y values, where y is the absolute value of 5 times x. For instance, for x = -1, y = |-5| = 5; for x = 0, y = |0| = 0; for x = 1, y = |5| = 5. Thus, the t-chart should show that, regardless of whether x is negative or positive, y is always positive, given the nature of absolute value.
Here's an example of what the t-chart could look like:
- (-1, 5)
- (0, 0)
- (1, 5)
The dependence of y on x in this scenario is such that y increases linearly as the absolute value of x increases.
Learn more about t-chart here:
#SPJ2
Answer: Choice C
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Explanation:
Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.
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Another way to see this is by plugging in each x value to see what y value comes out.
- If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10
- If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5
- If x = 0, then y = |5*x| = |5*0| = |0| = 0
- If x = 1, then y = |5*x| = |5*1| = |5| = 5
- If x = 2, then y = |5*x| = |5*2| = |10| = 10
The y outputs from top to bottom are: 10, 5, 0, 5, 10
This matches with what choice C shows.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
TV =
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Answer:
The answer to your question is TV = 7.8
Step-by-step explanation:
Data
hypotenuse = ?
Opposite side = 4
angle = 31°
To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
sin
Solve for hypotenuse
hypotenuse =
Simplification
hypotenuse =
hypotenuse =
Result
hypotenuse = 7.76
B. 38 1 /4 hr
C. 39 1 /8 hr
D. 38 3 /4 hr
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Answer:
39 3/8
Step-by-step explanation: