we know that
The density is equal to the formula

in this problem we have

<u>Find the volume of a piece of green jade</u>

Substitute the values in the formula of density


therefore
<u>the answer is</u>

Answer:
C. -5
Step-by-step explanation:
for g(x) =ax and f(x) = x, both are linear function. There is nothing to be upward or downward and both are lines nothing to compare its narrowness.
If g(x) = ax² vs f(x) = x²
Then a = -5 is the answer (-: downward and 5: vertical stretch)
Answer:
Max Value: x = 400
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
<u>Calculus</u>
- Antiderivatives
- Integral Property:

- Integration Method: U-Substitution
- [Integration] Reverse Power Rule:

Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Identify Variables</u>
<em>Using U-Substitution, we set variables in order to integrate.</em>

<u>Step 3: Integrate</u>
- Define:

- Substitute:

- [Integral] Int Property:

- [Integral] U-Sub:

- [Integral] Rewrite:

- [Integral - Evaluate] Reverse Power Rule:

- Simplify:

- Back-Substitute:

- Factor:

<u>Step 4: Identify Domain</u>
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.







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<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.