Answer:
a) 84π b) 109.2π
Step-by-step explanation:
The formula to find this is v=πr^2h/3
r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.
252/3=84
and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π
B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.
Answer:
c. observational study
Step-by-step explanation:
<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>
This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.
Answer:
1,320 seconds or 22 minutes to walk 1 mile
Step-by-step explanation:
5280 feet (1 mile) ÷ 4 feet per second = 1,320 seconds or 22 minutes
Answer:
A = 153.94 sq mi
Step-by-step explanation:
In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following
A = 
A = 
A = 
A = 153.94 sq mi
A total of 153.94 square miles must be searched.
Solution
-3b + 11 = -18 + 8b
-3b - 8b = -18 - 11
-11b = -29
b = 29/11