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xxMikexx [17]
3 years ago
12

Write the equation of the circle centered at ( 7 , − 5 ) (7,-5) with diameter 16

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center. 

If the diameter is 16, then the radius is 8. 

Your equation is:
(x - 7)² + (y + 5)² = 64
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A local hamburger shop sold a combined total of 763 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburgers s
Airida [17]
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
6 0
3 years ago
The volume of a right cylinder is V = πr2h. If we have an oblique cylinder, like in the figure, what is the volume of a cross-se
olchik [2.2K]
Since you did not attach any picture we cannot say for sure what is the correct answer, but we can discuss the options in order to find the most probable correct answer.

First of all, according to the Cavalieri's principle, an oblique cylinder has the same volume as a right cylinder with the same base surface area and same height.
A cross-section of an oblique cylinder will be a small right cylinder with the same base surface area and a height as small as possible.

I guess the oblique cylinder has height h and it is divided into many (probably 10) cross-sections.

Option A: <span>πr2h
This is exactly the volume of the right cylinder, therefore, unless you are given a cross-section of height h (which would be too easy), this won't be the correct answer.

Option B: </span><span>4πr2h
This is 4 times the right cylinder. Again, here the height of the cross-section should</span> be 4h, but it doesn't sound like a possible data (too easy again).

Option C: <span>1 10 πr2h
Here comes a n issue with the notation: I think the right number you meant to write is (1/10)</span>·πr2h and not 110·<span>πr2h.
If I am right, this means that your oblique cylinder of height h is divided into 10 cross-sections, and therefore the volume of each of these cross-sections will be a tenth of the volume of the oblique cylinder, which means </span>1/10·<span>πr2h.

Option D: </span><span>1 2 πr2h
Here, we have the same notation issue as before. I think you meant (1/2)</span>·<span>πr2h.
Here, your oblique cylinder height h should be divided into only 2 cross-sections. Now, we said the cross-section's height should be the smallest as possible, so an oblique cylinder divided only into two pieces doesn't sound good.

Therefore, the most probable correct answer will be C) </span>(1/10)·<span>πr2h</span>
8 0
3 years ago
Read 2 more answers
A recent study revealed that the average weight of babies born in the US is normally distributed with a mean of 7.5 pounds. One
Andreyy89

Answer:

c. Weights of babies are normally distributed

Step-by-step explanation:

The research has been conducted to identify the weight of new born babies in comparison to the weight of their mother. The samples are collected from young mothers who are at age of 16 to 18. The babies average weight turned out to be 7.3 pounds. It is assumed that the weight of babies is normally distributed.

7 0
3 years ago
2+2 pls help btw 4 .....
Vsevolod [243]

Answer:

is it 22.

Step-by-step explanation:

is it?

5 0
3 years ago
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Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solu
enyata [817]
<span>|5x − 6| = −41  it has no solutions because module ( abs value) cannot be negative

|7x + 13| = 27          -(7x+13)=27
7x+13=27                 -7x-13=27
7x=14                       -7x=40
x=2                            x=-40/7

check:   </span>|7*(-40/7) + 13| = 27  ,   |-40 + 13| = 27,   |-27| = 27 correct<span>
                               
There are no statements, so I cannot choose the correct one</span>
8 0
3 years ago
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