What is the value of this expression when $$ c=-4 $$ and $$ d=10 $$ ? $$ \frac{1}{4}\left(c^{3}+d^{2}\right) $$ A. 2 B. 9 C. 21 D. 41

Question

UpStudy AI · Accepted Answer

1. Substitute $$ c = -4 $$ and $$ d = 10 $$ into the expression:
   $$
   \frac{1}{4}\left((-4)^{3}+10^{2}\right)
   $$

2. Calculate $$ (-4)^{3} $$:
   $$
   (-4)^{3} = -64
   $$

3. Calculate $$ 10^{2} $$:
   $$
   10^{2} = 100
   $$

4. Add the two results:
   $$
   -64 + 100 = 36
   $$

5. Multiply by $$\frac{1}{4}$$:
   $$
   \frac{1}{4} \times 36 = 9
   $$

The value of the expression is $$ 9 $$.
The value of the expression is 9.

What is the value of this expression when \( c=-4 \) and \( d=10 \) ? \( \frac{1}{4}\left(c^{3}+d^{2}\right) \) A. 2 B. 9 C. 21 D. 41