Answer:
Step-by-step explanation:
The average value theorem sets:
if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4
⇒
c≅130
Answer:
32
Step-by-step explanation:
take 128 divide by 4
Answer:
the variable n represents how many of the product thomas bought
Step-by-step explanation:
20 dollars is the initial amount of money, and for every paintbrush, you have to subtract 4 dollars from thomas's initial amount, and the result of the subtraction is the amount of change he will recieve.
Answer:
88.83
Step-by-step explanation:
To find the mean of a set of numbers is to find the average a set of numbers.
To solve for the mean you have to add all of the values together and divide that sum by the number of values there are.
Ex. 81, 97, 99, 89, 91, 76
81 + 97 + 99 + 89 + 91 + 76 = 533
533 / 6 = 88.83
↓
(number of values)
Answer:
The initial speed of the car was 80 ft/s.
Step-by-step explanation:
The deceleration is the rate at which the car speed decreases. In this case the speed of the car goes all the way down to 0 ft/s and in order to do that it travelled 50 ft. So we will call the initial speed at which the car started to brake "v_0" and use Torricelli's equation to find it. The equation is given by:
v^2 = (v_0)^2 + 2*a*S
Where v is the final speed, v_0 is the initial speed, a is the rate of acceleration and S is the space travelled. Using the values that the problem gave to us we have:
0^2 = (v_0)^2 - 2*64*50
0 = (v_0)^2 - 6400
(v_0)^2 = 6400
v_0 = sqrt(6400) = 80 ft/s
Notice that in this case "a" was negative, since the car was decelerating instead of accelerating.
The initial speed of the car was 80 ft/s.
