Answer:
B) 3x^3 + 24x^2
Step-by-step explanation:
The volume of a pyramid is 1/3 the product of the base area and the height. The base is square, so its area is the square of the side dimension.
V = (1/3)(3x)^2(x+8) = 3x^2(x +8)
V = 3x^3 +24x . . . . . matches B
Answer:
204 inches
Step-by-step explanation:
First, change the 5yd2ft to be just feet.
1 yard = 3 feet
5 yd × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
Next, change to inches.
1 ft = 12 inches
17ft × 12in/ft = 204 in
5 yds 2 ft = 204 in
Answer:
It would be B.
Step-by-step explanation:
This is because adding a negative exponent onto a number is telling you how many times you have to divide it by. So in this case, it would be the equation 1 / 2^4 to solve it.
Answer: 64
Step-by-step explanation:
If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.
EJ = JG
4w + 4 = 2w + 18
Subtract 2w from both sides
2w + 4 = 18
Subtract 4 from both sides
2w = 14
Divide both sides by 2
w = 7
EG = EJ + JG
EG = 4w + 4 + 2w + 18
EG = 6w + 22
Now that we know what 'w' is, we can substitute it for 7
EG = 6 (7) + 22
EG = 42 + 22 = 64
The measure of EG is 64.
Hope that helped!
Answer: The type is <u>Retrospective</u>.
Step-by-step explanation: Observational Study is a type of research which measures determined characteristics of a population by studying individuals in a sample, without interfering or influencing the variables. There are 3 types of observational study:
- Cross-sectional studies: colecting data at a certain point of time;
- Case-control studies: comparing individuals with a particular characteristics with others without it;
- Cohort studies: is the one where a group of individuals is selected to participate in the study;
According to the description given, the study above is a case-control study and the type is called <u>Retrospective</u> because it asks the individuals to tell about past habits, exposure to sunshine in this case. This type of study is not very reliable because it depends on the memory and the ability of the individuals to be honest and it can only prove association, not causation.