Use PEMDAS:
P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
First, start with the parenthesis:
(8.76 * 109)(6.52 * 10 - 3) / 13.27 * 105
(954.84)*(62.2) / 13.27 * 105
Then do ALL multiplication:
59,391.048 / 1,393.35
Now do all division:
42.62
So, your final answer is 42.62
Answer: 1.106 s
Step-by-step explanation:
This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:
![y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=y%3Dy_%7Bo%7D%2BV_%7Bo%7Dsin%28%5Ctheta%29%20t-%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D)
Where:
is the blueberry pie final height (when it hits the ground)
is the blueberry pie initial height
is the blueberry pie initial velocity
is the angle, assuming the pie was shot horizontally
is the time
is the acceleration due gravity
Rewriting the equation:
![0=y_{o}-\frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=0%3Dy_%7Bo%7D-%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D)
Isolating
:
![t=\sqrt{\frac{2y_{o}}{g}}](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cfrac%7B2y_%7Bo%7D%7D%7Bg%7D%7D)
![t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cfrac%7B2%286%20m%29%7D%7B9.8%20m%2Fs%5E%7B2%7D%7D%7D)
Finally:
![t=1.106 s](https://tex.z-dn.net/?f=t%3D1.106%20s)
Answer:
x = 45/4
Step-by-step explanation:
2x - 3/4 + x = 2x + 3/2 + 9
- 3/4 + x = 3/2 + 9
- 3/4 + x = 21/2
x = 21/2 + 3/4
x = 45/4
Let the number of pants have to be made be x.
So,
9.55 * x = 525.00
x =
![\frac{525}{9.55}](https://tex.z-dn.net/?f=%20%5Cfrac%7B525%7D%7B9.55%7D%20)
≈ 54.97
Thus, the number of pants have to be made are 54.
Let's solve for p.
x3xp=x5
Step 1: Divide both sides by x^2.
px2x2=x5x2
p=x3
Answer:
p=x3