select the correct answer.\nwhat is the value of this expression when c = -4 and d = 10?\n$\frac{1}{4}(c^{3}+…
select the correct answer.\nwhat is the value of this expression when c = -4 and d = 10?\n$\frac{1}{4}(c^{3}+d^{2})$\na. 2\nb. 9\nc. 21\nd. 41
Answer
Explanation:
Step1: Substitute values
Substitute $c = - 4$ and $d = 10$ into the expression $\frac{1}{4}(c^{3}+d^{2})$. We get $\frac{1}{4}((-4)^{3}+10^{2})$.
Step2: Calculate powers
Calculate $(-4)^{3}=-4\times - 4\times -4=-64$ and $10^{2}=10\times10 = 100$. So the expression becomes $\frac{1}{4}(-64 + 100)$.
Step3: Calculate sum inside parentheses
$-64+100 = 36$. So the expression is $\frac{1}{4}\times36$.
Step4: Calculate final result
$\frac{1}{4}\times36 = 9$.
Answer:
B. 9