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12:14
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Question
Two of the fish tanks at the aquarium are leaking. The graph models the linear relationship between the number of gallons in the tank and the time, in hours for the goldfish and the beta fish tanks.
Fish Tank
Gallons in Tank
Time (hours)
Based on the graph, which statement appears to be true?
Responses
A There were less gallons of water in the goldfish tank than the beta fish tanks after 15 hours.There were less gallons of water in the goldfish tank than the beta fish tanks after 15 hours.
B There were more gallons of water in the goldfish tank than the beta fish tanks after 15 hours.There were more gallons of water in the goldfish tank than the beta fish tanks after 15 hours.
C There were 100 gallons of water in both the goldfish and the beta fish tanks after 15 hours. There were 100 gallons of water in both the goldfish and the beta fish tanks after 15 hours.
D There were 15 gallons of water in both the goldfish and the beta fish tanks after 100 hours.
13 answers
15:02
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Question
Hexagon STUVWZ is transformed according to the rule (x, y) →.(x + 8, y – 8) to form hexagon S'T'U'V'W'Z'.
Which statements are true?
(choose two)
Responses
A Hexagon STUVWZ is not congruent to hexagon S'T'U'V'W'Z'.Hexagon STUVWZ is not congruent to hexagon S'T'U'V'W'Z'.
B The sum of the angle measures of hexagon S'T'U'V'W'Z' is greater than the sum of the angle measures of hexagon STUVWZ.The sum of the angle measures of hexagon S'T'U'V'W'Z' is greater than the sum of the angle measures of hexagon STUVWZ .
C Hexagon S'T'U'V'W'Z' is congruent to hexagon STUVWZ.Hexagon S'T'U'V'W'Z' is congruent to hexagon STUVWZ .
D The area of hexagon STUVWZ is equal to the area of hexagon S'T'U'V'W'Z'.The area of hexagon STUVWZ is equal to the area of hexagon S'T'U'V'W'Z'.
E Corresponding angles of hexagon S'T'U'V'W'Z' and hexagon STUVWZ are not congruent.Corresponding angles of hexagon S'T'U'V'W'Z' and hexagon STUVWZ are not congruent.
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A) Hexagon STUVWZ is not congruent to hexagon S'T'U'V'W'Z'.
B) The sum of the angle measures of hexagon S'T'U'V'W'Z' is greater than the sum of the angle measures of hexagon STUVWZ.
Therefore, the correct answers are A and B.
Responses
A 2,513.27 in.³2,513.27 in.³
B 1,256.64 in.³1,256.64 in.³
C 628.32 in.³628.32 in.³
D 314.16 in.³
Given that the diameter of the cylinder is 10 inches, the radius (r) is half of the diameter, which is 5 inches. The height (h) is 8 inches.
Substituting these values into the formula, we get V = π(5^2)(8) = π(25)(8) = 200π.
To find the volume in cubic inches, we need to approximate the value of π to 3.14.
Therefore, the closest measurement to the volume of the storage container in cubic inches is:
D) 314.16 in.³
16:29
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Question
Will the given equation solve the problem? Choose all which will.
Responses
A Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − nProblem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − n
B Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6
C Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −nProblem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −n
D Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25
D) Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25
Based on the diagram, what is the distance in feet from the ground that the ladder reaches the wall? Round to the nearest tenth.
Let the distance from the ground to the top of the ladder be represented by h.
According to the Pythagorean theorem,
h^2 = 12^2 - 5^2
h^2 = 144 - 25
h^2 = 119
Taking the square root of both sides,
h ≈ √119
Using a calculator or estimation,
h ≈ 10.9
Therefore, the distance from the ground that the ladder reaches the wall is approximately 10.9 feet to the nearest tenth.