<span>To put the unknown in other words, we are to determine a fraction that has a denominator of 10 which should be equivalent to 3/5. If we let x be the numerator of the second fraction such that we form a proportion out of the two fractions that is,
3/5 = x/10
The value of x is calculated as below,
x = (3)(10) / 5 = 6
ANSWER: 6</span>
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
Answer:
The volume of the cylinder is 1.5 more that the one of the cone (i think)
Step-by-step explanation:
HOPE THIS HELPS (i am not sure it is correct)
PLZZ MARK BRAINLIEST if correct
80 + 150 - 45= 185 (take away 45 as that was duplicated in the groups)
185/500= 0.37
This question is really hard
