Since the first car travels 55 miles per hour and starts an hour early, by 4:00 it is 55 miles away from the other car. Therefore, the equation is 55+a(some value)+b(another value)=380. If a car travels 55 miles per hour, that means that we add 55 for each hour and 55*x (if x is the number of hours) is the distance traveled. We have accounted for the first hour, so this is similar to saying that they start 55 miles away at 4:00 and go from there. For the other car, since it travels 75 miles per hour, its distance in hours is 75*x (the amount of time spent should be the same if we start at 4:00). Therefore, since they travel away from each other, our total distance is 55+55x+75x=380. Subtracting 55 from both sides (and combining like terms), we get 130x=325. Next, we divide both sides by 130 to get 2.5 hours, or 2 hours and 30 minutes
So we got the function of the graph f(x) = 2^x + 1 what you will need to do first is find the y-coordinates corresponding to x=1 and x=3 which can be found by substituting into the function. After that we can find the average rate of change using y2-y1/x2-x1.
f(1)=2^1+1 which would be equal to 3
1,3
f(3)=2^3+1 which would be equal to 9
3,9
9-3/3-1=6/2
6/2=3
The average rate of change is 3.
Answer:
7.0043 X 10^9
Step-by-step explanation:
Get all the significant numbers put the first number before a decimal point.
You always times by 10
The power depends on the number of numbers after the first significant number. Eg. 7
Answer:
The answer to your question is the letter D) 46°
Step-by-step explanation:
Data
length = 25 ft
Opposite side = 18 ft
Angle = Ф
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
Sin Ф = Opposite side / hypotenuse
-Substitution
sin Ф = 18/25
-Simplification
sin Ф = 0.72
-Result
sin⁻¹ Ф = 0.72 = 46°
She put nine muffins on each plate. 9 x 4 is 36.