Answer:
Mme Q spent more time answering emails from students by 10 minutes
Step-by-step explanation:
Here we have
Time spent by Mme Q in answering mails on Friday given by
5/6 Hour = 50 minutes and
7/12 Hour = 35 minutes
Total time spent on Friday = 85 Minutes or
5/6 + 7/12 = 17/12 Hours
Time spent by Mme F in answering mails on Friday given by
1/2 Hour = 30 minutes and
3/4 Hour = 45 minutes
Total time spent on Friday by Mme F = 75 Minutes or
1/2 + 3/4 = 5/4 Hours
Therefore, Mme Q spent more time answering emails from students by 85 - 75 = 10 minutes.
Answer:
I think it would be 15
Step-by-step explanation:
Because if you split the number line into 6 different sections (with the 15 on the left side and the 16 on the right side) and shade/fill in 2 of those, you would be closer to 15.
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:
2/4
Step-by-step explanation:
Rise over run. you go up 2 and right 4
Answer:
259/30 or 8 19/30 depending on what format your teacher wants the answer
Step-by-step explanation:
First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30
I hope this helps and please don't hesitate to ask if there is anything still unclear!
