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schepotkina [342]
2 years ago
6

Please help with my math i am stuck please explain

Mathematics
1 answer:
joja [24]2 years ago
7 0
For the addition problem 1/4 would turn into 2/8 and the 3/8 would stay the same therefore it would be 2/8 + 3/8 =5/8. Then for the subtraction problem 1/4 would turn into 2/8 and 3/8 would stay the same therefore it would be 2/8 - 3/8 =1/8
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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

V_{flask}=V_{sphere}+V_{cylinder}.

Use following formulas to determine volumes of sphere and cylinder:

V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

  • V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;
  • V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;
  • V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.

Then

\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.

Answer 2: correct choice is D.


8 0
3 years ago
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What is the mode for 46 47 52 55 64 69 70 78
ziro4ka [17]

Answer:

No mode.

Step-by-step explanation:

No mode.

None of the numbers repeat and since the mode is the most frequent number there isn't one.

8 0
3 years ago
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Based on the above graph, in 2016, which occupation is projected to have about 2,500,000 more workers than there will be compute
Bingel [31]
The answer is A guys, I just took the test. Your Welcome (:
6 0
3 years ago
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Find the lateral surface area.
sveta [45]

Answer:

900 yd²

Step-by-step explanation:

You can draw the pattern that would need to be folded to make the figure, then find the area of that pattern (or "net"). It consists of a rectangle 10 yards wide and 60 yards long, together with another that is 20 yards long and 15 yards wide. The total area is the sum of these ...

... area = (60 yd)(10 yd) + (20 yd)(15 yd)

... = 600 yd² +300 yd²

... = 900 yd²

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3 years ago
A store makes a profit of $15 on a wallet, after a mark up of 60%, what is the selling priceof the wallet?
Ivenika [448]

Answer:

Markup: $9 ; Selling Price: $24

Step-by-step explanation:

The store makes a profit of $15, to find the mark up of 60%, multiply 15 x 60%.

15 x 0.6 = 9

Add the markup price to the original price.

9 + 15 = $24

The selling price is $24

4 0
3 years ago
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