Answer:
a and b are both 2.82842712474619
Step-by-step explanation:
2.82842712474619 squared x 2 =8 + 8 = 16
Food A has fewer calories per serving.
I found this by taking the first food (A) and dividing 150 by 3. This gave me 50, which I added onto 150 to give me my 4/4 of a serving (200 calories).
With food B, I did the same process. I took 250/2 and added that to the original amount to get the final third of the serving, which resulted in food B being 375 calories.
A. The expression for the time t it takes to jog 5 miles from the park as a function of r, we shall proceed as follows:
time=(distance)/speed
time=t
distance=5 miles
speed=(r) miles per hour
plugging the values in the formula we get:
t=5/(r)
b. <span> When you run back to the park, your average speed increases by 1 mph. Write an expression representing your new speed.
</span>Given that on the way back, the speed increases by 1 mph, the expression representing new speed will be:
initial speed=r mph
new speed=r+1=(r+1) mph
c. <span> Write an expression for the time t(in hours) it takes to jog 5 miles back to the park.
Here we shall use the formula:
Time taken for the jog 5 miles back to the park will be given by:
time=distance/speed
distance=5 miles
speed=(r+1) mph
thus
time=5/(r+1) hours
d. The expression for total jogging time will be given by:
Total time=5/r+5/(1+r)
=[5(1+r)+5r]/[r(1+r)]
=[5+5r+5r]/[r(1+r)]
=(5+10r)/[r(1+r)]
e] The total time of jogging given that r=4 mph will be:
plugging r=4 in the answer from (d) we get:
(5+10r)/[r(1+r)]
=(5+10*4)/[4(1+4)]
=(5+40)/(4(5))
=45/20
=2.25 hours</span>
Equation x y = -4y implies x=-4
Replacing the value of x in the following equation:
-4y = 2(-4)-1 implies y = 9/4 = 2.25
Answer:
1. 2x
2. v(t) =2
3. 24mph
Step-by-step explanation:
1. W(t) = x^2 -3
dw/dt = 2x dx/dt
2. v(t) =2
Take the derivative to get the acceleration
dv/dt = 0
The choice you picked has 0 velocity so it is not in motion
3. To find the velocity
x(7) - x(5)
---------------
7-5
2(7)^2 -2(5)^2
-----------------
7-5
2*49 - 2*25
---------------2
98-50
---------
2
48/2
24 mph