Answer:
Step-by-step explanation:
4 = x
50 ÷ 4= x
50 ÷ 4 = 12.5
12.5 → 12.0
48 ↔ 48 possible votes
The answer is 48 possible votes.
Answer:
C) -1.255
Step-by-step explanation:
We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:
Residual value = Observed value - predicted value
Residual value = 26 - 27.255
Residual values = -1.255
The answer is -1.255 for residual value.
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
icang [17]
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate
for 
So, we substitute values of x in the given function.
At x= -2, we have
![3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=3%5E%7B-2%7D%3D%5Cdfrac%7B1%7D%7B3%5E2%7D%3D%5Cdfrac%7B1%7D%7B9%7D%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
At x= 1, we have

At x= 3

So, the values of
for
Thus, the correct answer is B) 1/9, 3, 27
Answer:
D) 14 seconds
Step-by-step explanation:
y = -4.9t^2 + 120t
We want to find out when y = 500
500 = -4.9t^2 + 120t
Subtract 500 from each side
500-500 = -4.9t^2 + 120t-500
0 = -4.9t^2 + 120t-500
a=-4.9 b= 120 and c = -500
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
-------------------------
2a
-120±sqrt(120^2 -4(-4.9)(-500))
-------------------------
2*(-4.9)
Solving this for the two solutions
t≈5.32415
t≈19.1656
The object will be above 500 meters between these two times
19.1656 - 5.32415 = 13.84145
This is approximately 14 seconds