Answer:
It will take them 28 loads
Step-by-step explanation:
In this question, we are basically asked to divide both quantities and report the result
We divide
(61/3) / (3/4) = 244/9 = 27.11
It will take them 28 loads to haul all the cement in their pick up truck, which can carry 0.75 ton.
The options are incorrect.
That person;s body weight will be 156 Ib. Do 9 3/4 times 1/16 to get you body weight
Answer:
A. 6.466
B. 6
C. 5
D. 30 nominations
Step-by-step explanation:
A. The mean is all of the numbers added together, and divided by how many numbers there are, so take all of the numbers, which end up being added up to 97, and then divide by 15, because that´s how many numbers there are, you end up getting 6.46666 and you round it to 6.466
B. The median is when you take all of the numbers and put them into order, and then find the number in the exact middle of all of the numbers, so the numbers were 4 5 5 5 5 5 5 6 6 7 7 8 8 9 12, the middle number was 6
C. The mode is the number that appears the most, and that would be 5
D. The most reccuring number is 5, and if you take that and multiply it by how many times it is shown, 6, you get 30
I hope this helps!
That is false. The slope is -2.
Answer:
28.27 cm/s
Step-by-step explanation:
Though Process:
- The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
- the radius
- Punch is being poured into the bowl
- The height at which the punch is increasing in the bowl is
- the exposed area is a circle, (since the bowl is a hemisphere)
- the radius of this circle can be written as
- what is being asked is the rate of change of the exposed area when the height
- the rate of change of exposed area can be written as .
- since the exposed area is changing with respect to the height of punch. We can use the chain rule:
- and since the chain rule above can simplified to -- we can call this Eq(1)
Solution:
the area of the exposed circle is
the rate of change of this area can be, (using chain rule)
we can call this Eq(2)
what we are really concerned about is how changes as the punch is being poured into the bowl i.e
So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:
and rearrage the formula so that a is the subject:
now we can derivate a with respect to h to get
simplify
we can put this in Eq(1) in place of
and since we know
and now we use substitute this . in Eq(2)
simplify,
This is the rate of change of area, this is being asked in the quesiton!
Finally, we can put our known values:
from the question