Answer:
![{ \tt{pH = - log[H {}^{ + } ]}} \\ pH = - log(4.2 \times {10}^{ - 5} ) \\ pH = 4.38](https://tex.z-dn.net/?f=%7B%20%5Ctt%7BpH%20%3D%20%20-%20%20log%5BH%20%7B%7D%5E%7B%20%2B%20%7D%20%5D%7D%7D%20%5C%5C%20%20pH%20%3D%20%20-%20%20log%284.2%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%205%7D%20%29%20%20%5C%5C%20pH%20%3D%204.38)
Step-by-step explanation:
H
They won't arrive exactly when the race starts, but they will arrive before the race starts because, assuming they leave exactly three hours before the race, they can drive a total of 150 miles in three hours (3h*50mi/h). Because they only need to drive 120 miles, they will make it to the race before it starts.
The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5
Answer:
Dan will have $1,531.53 after 5 years.
Step-by-step explanation:
To find the answer, you can use the following formula to calculate the future value:
F= P(1 + r)^t
F= Future value
P= Present value= 1200
r= rate of interest= 5%
t= time= 5
F=1200(1+0.05)^5
A=1200(1.05)^5
A=1531.53
According to this, the answer is that Dan will have $1,531.53 after 5 years.
The resulting equation after substitution is
5x + 4(-2x + 6) = 3
quite literally you replaced y with what it equals (as said in the second equation)
you then distribute the 4 within the parenthesis
5x + -8x + 24 = 3
You make it easier
5x - 8x +24 = 3
you combine like terms
-3x + 24 = 3
you subtract 24 from both sides
-3x = -21
you divide both sides by -3
meaning x = 7
you then use that value x = 7 and substitude it for the x in the other equation.
That makes the y equation
y = -2(7) + 6
you then solve
y = -14+6
y = 6 - 14
y = -8
