Answer:
The slope is 0.
Step-by-step explanation:
The slope is the change in y over the change in x
Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle. R = (x, y) | 2 ≤ x ≤ 8, 6
≤ y ≤ 10 (a) Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (b) Use the Midpoint Rule to estimate the volume of the solid.
1 answer:
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Answer:
The only equation which is incorrect is in option B.
Step-by-step explanation:
Eva used the following equation in order to solving integers, which is
⇒ ......... (1)
Now, if the equation Ava used is correct, then we have to find which of the given equations is not correct.
Now, in option A) it is given that
⇒ which is same as equation (1).
In option B) it is given that
⇒ which is not same as equation (1).
In option C) it is given that
⇒ which is same as equation (1).
Again, in option D) it is given that
⇒ which is same as equation (1).
Therefore, the only equation which is incorrect is in option B. (Answer)
Answer:
36 is the correct answer.
Step-by-step explanation:
It is given that there are a group of tourists that can be sorted in a group of either 4 or 6 so that there are no empty seats.
It means that the total number of seats should be a <em>multiple of both 4 and 6</em>.
For finding such a number we can simply find out <em>LCM (Least Common Multiple)</em> of 4 and 6.
<u>LCM of two numbers </u>p and q is the minimum number which can be completely divided by both the numbers p and q.
Let us find the LCM of 4 and 6 here, using the factors:
4 = <u>2</u> 2
6 = <u>2</u> 3
The common factor(shown as underlined) is used only once in the LCM.
So, LCM = 2 2
3 = 12
So, 12 is the minimum number which can be divided by 4 and 6 both.
But, we are given a condition that number of tourists are more than 25 and lesser than 45. So, the number of seats can be in between 25 and 45.
Now, let us see multiples of 12:
12, 24, 36, 48, 60, ......
The number that lies between 25 and 45 is <em>36</em>.
So, the number of total seats can be <em>36</em>.