Answer:
B) Inside the nucleus of an atom are protons and electrons.
Explanation:
Inside the nucleus of an atom are protons and neutrons. Electrons orbit (kind of?) away from the nucleus.
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

By substitution, we have that

and

.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
Answer:
Cos A = 24/25 & Tan A = 7/24
Step-by-step explanation:
See the attached figure.
Construct a right triangle and sign one angle as A
So, Sin A = opposite/hypotenuse = 7/25
∴hypotenuse = 25 and opposite = 7
∴ adjacent = √(25² - 7² ) = √576 = 24
∴ Cos A = adjacent/hypotenuse = 24/25
And
Tan A = opposite/adjacent = 7/24
Answer: option B is the correct answer.
Step-by-step explanation:
Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip.
Time = distance/speed
This means that time spent by Susan in travelling the first 30 miles would be
Time = 30/30 = 1 hour
He travelled at an average speed of 60 miles per hour for the remaining 30 miles of the trip.
Time = 30/60 = 0.5 hours
Total distance travelled is 30 + 30 = 60 miles.
Total time spent = 1 + 0.5 = 1.5 hours
Speed = distance/time
Average speed = 60/1.5 = 40 miles per hour.
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.