Answer:
D
Step-by-step explanation:
Hi,
The answer is 16,666.67
Solution: 200,000/year year=12 months
200,000 divides by 12
= 16,666.67
hope this’ll help
<span>The equations that show a direct variation between x and y when solved for y are:
</span><span>A. -10+y=3x-10
B. y=-1/8x
</span>
Since k is constant (the same for every point), we can find k when given any point by dividing the y<span>-coordinate by the </span>x<span>-coordinate. For example, if </span>y varies<span> directly as </span>x , and y<span> = 6 when </span>x<span> = 2 , the constant of </span>variation<span> is k = = 3 . Thus, the equation describing this </span>direct variation<span> is </span>y<span> = 3x .</span>
Answer:
3 students got a perfect score.
Step-by-step explanation:
Total number of students in Mrs. Grape's class = 90
Number of students who earned an A = 3/10 of 90
= 
= 27 students
Out of 27 students the number of students who got perfect score
= 
= 3 students
3 students got a perfect score.
Answer:
The ball is in the air for approximately 3.27 seconds ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The height of the ball is modeled by the function
h(t) = -4.9 t² + 16 t
- We need to find the time that the ball is in the air
- The ball is in the air from its initial position and then return to the
same position
- That means h(t) = 0 because h(t) represent the height of the ball
from its initial position
∵ h(t) = -4.9 t² + 16 t
∵ h(t) = 0
∴ 0 = -4.9 t² + 16 t
- Add 4.9 t² to both sides
∴ 4.9 t² = 16 t
- Subtract 16 t from both sides
∴ 4.9 t² - 16 t = 0
- Take t as a common factor
∴ t (4.9 t - 16) = 0
- Equate each factor by 0
∴ t = 0 and 4.9 t - 16 = 0
∵ 4.9 t - 16 = 0 ⇒ add 16 for both sides
∴ 4.9 t = 16
- Divide both sides by 4.9
∴ t = 3.2653
∴ t = 0 ⇒ initial position
∴ t = 3.2653 seconds ⇒ final position
* <em>The ball is in the air for approximately 3.27 seconds</em>
