Answer:
And if we use the permutation formula given by:
And replacing we got:
Step-by-step explanation:
For this problem we want to find the following expressionÑ
And if we use the permutation formula given by:
And replacing we got:
Answer:
132 in^2 but DOUBLE CHECK MY WORK!!!!
Step-by-step explanation:
Break it down into parts ok. So I see a 10x10 square, two 2x4 right triangles and a 4x6 rectangle.
10x10 is 100 in
1/2(2*4) = 4 x 2 = 8 in
6x4 = 24 in
add them together to get 132 in^2
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
