Select the correct answer.
Which expression is equivalent to the given expression?
(12g^2h^7)(3g–^2h-4)
A. 36gh^3
B. 36h^3
C. 36/g^4h^28
D. 38/h^3
Answer:
C
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
(a) The distributor tells Ms. Ann that dry ice is not like regular ice. The temperature of dry ice can be anywhere between –109.3oF and –78.5oF. What is the range of temperature of dry ice? Show your work.
(b) The distributor also tells Ms. Ann that they use a special freezer to store the dry ice. Dry ice is usually stored at –99oF. The average household freezer can only be set to –18oF at the lowest setting. How many times colder is the special freezer than an average household freezer? Show your work.
(c) The distributor says his 5 smallest freezers are set at –86.4o F, –80.2oF, –84.1oF, –90.2oF, and
–79.9oF. Record the numbers in order from least to greatest.
(d) What is the average temperature of the distributor’s 5 smallest freezers? Show your work.
(e) The highest temperature that is recommended for storing dry ice is –78.5oF. The distributor says that, because of the amount of dry ice he has, he stores his larger blocks of dry ice in the big freezer which is 15.5oF below that temperature. What is the temperature of the big freezer? Show your work.
(f) The distributor suggests to Ms. Ann that she not store the dry ice in the freezer or the refrigerator because the huge difference in temperature might make the freezer or refrigerator shut down. Ms. Ann’s refrigerator is usually set at 35oF. What is the difference in temperature between Ms. Ann’s refrigerator and the distributor’s freezer? Show your work.
(g) The price list for the dry ice is below:
Dry Ice Price List
1 block (approximately 50 lb)..……………………………………..$30.50 1/2 block……………………………………………………………...$16.25 1/4 block………………………………………………………………$10.50 Pellets (8 lb bag) ……………………………………………………...$6.15
Ms. Ann has a creditfor $54.18 that she wants to use. She wants to use as much of the credit as shecan and she has no other money with her. What should she purchase from the listin order to use the most of her credit without going over and how much will shehave left over on the credit? Show your work.
The distance from the starting point is approximately 29.14 meters and the compass direction of the line connecting the starting point to the end point is approximately 50.03° east of north.
To find the distance from the starting point, we can use the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. In this case, the two legs of the triangle represent the distances walked in the east and north directions. So, the distance from the starting point is:
Distance = sqrt((18.5)^2 + (22.5)^2)
Distance = sqrt(342.25 + 506.25)
Distance = sqrt(848.50)
Distance ≈ 29.14 meters
To determine the compass direction of the line connecting the starting point to the end point, we can use trigonometry. We can find the angle of this line with respect to the east direction using the tangent function:
Angle = arctan(22.5/18.5)
Angle ≈ 50.03°
Therefore, the distance from the starting point is approximately 29.14 meters and the compass direction of the line connecting the starting point to the end point is approximately 50.03° east of north.
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B. 3 months
C. 1 month
D. 6 months
Answer: The answer is D) 6 months
APEX
2.128 mm3
3.512 mm3
4.4096 mm3