The answer to the question
Answer:
Step-by-step explanation:
<u>Given the following data;</u>
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
Where;
- V is the final velocity.
- U is the initial velocity.
- a is the acceleration.
- t is the time measured in seconds.
Substituting into the formula, we have;

<em>Proven: 32 m/s = 32 m/s</em>
Answer: Total unit cost =
variable costs + fixed costs
$2 + $4 + $1 + $3 = $10
Step-by-step explanation:
Total unit cost is calculated by the adding variable costs ( such as the direct material cost per unit, direct labor cost per unit and variable manufacturing overhead per unit,) and fixed costs (such as fixed manufacturing overhead per unit)
Therefore
Total unit cost = variable cost + fixed cost
Unit cost of direct materials = $2
Unit cost of direct labor = $4
Unit cost of variable overhead =$1
Unit cost of fixed overhead = $3
Total unit cost = $2 +$4 + $1 + $3 = $10
When you're converting from a smaller unit to a larger unit, divide.
When you're converting from a larger unit to a smaller unit, multiply.
Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x = 
f(x) = 6x² + 11x - 3
f(
) = 6(
)² + 11(
) - 3
= 6(
) +
- 3
=
+
- 
= 
= 4