Answer:
361.7cm²
Step-by-step explanation:
Volume of sphere 1= 8cm³
=
Volume of sphere 2 = 647cm³
But volume of sphere = 4/3πr³
The radius of sphere 2
647 = 4/3πr³
((3*647)/4)/π= r³
5.36544 = r
Surface area = 4πr²
Surface area for the big sphere
= 4π5.36544²
= 361.7cm²
D,
You basically see if statements are correct or not. Remember this is sample, sample is portion of population so if everything is dome correctly, the results of sample will also display the results of population +- error (standard deviation). So you can just use the sample results to answer questions about the population.
A is correct because social studies has 4 students and reading has 8. Math has twice.
B is correct because reading has 2 and math has 8. Reading is one fourth of math 8*1/4 = 8/4=2.
D is NOT correct because math is 8, social studies is 4. Math is not half of social studies. Social studies is half of math.
The car's velocity at time
is

It comes to rest at

Its velocity over this period is positive, so that the total distance the car travels is

so the answer is D.
Answer:
- <u>Hannah was not speeding because her speed was about 61 mph, which is below the speed limit.</u>
Explanation:
Just to correct some typos, this is the complete question:
<em />
<em>The equation d=0.05v² + 1.1v models the distance, d, that it takes a car traveling at a speed of v miles per hour to come to a complete stop. If Hannah’s car stopped after travelling 250 feet on a highway with a speed limit of 65 mph, was Hannah speeding? Explain using math whether she was speeding and how you know.</em>
<em />
<h2>Solution</h2>
<em />
To find whether Hannah was speeding, you must find the velocity that is solution for the equation:
<em />
Write it in standard form:
Use the quadratic formula:



The speed can only be positive; thus, it is about 61 miles per hour, which is below the speed limit of 65mph.
In conclusion, she was not speeding.