Answer:
All Calendula College students enrolled in the spring.
Step-by-step explanation:
A researcher at Calendula College wishes to estimate the number of units earned by students during the spring semester at Calendula.
To do so, he randomly selects 100 student transcripts from among all Calendula College students enrolled in the spring and records the number of units each student earned in the spring term.
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
B
Step-by-step explanation:
Answer:
What is the most common month? That is the answer
Step-by-step explanation:
<u>Given</u>:
The given expression is ![(\sqrt{5})( \sqrt[3]{5})](https://tex.z-dn.net/?f=%28%5Csqrt%7B5%7D%29%28%20%5Csqrt%5B3%5D%7B5%7D%29)
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule 
, we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.
