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mojhsa [17]
3 years ago
12

Helpp asappp it’s just one question!!!

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0
Not only she buying candy she getting diabetes
The answer is 9 pounds
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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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NEED THE ANSWER ASAP PLEASE
timurjin [86]

Answer:

2

Step-by-step explanation:

\frac{y1 - y2}{x1 - x2}  \\  \frac{2 - 6}{ - 5 - ( - 3)}  \\  \frac{ - 4}{ - 5 + 3}  \\  \frac{ - 4}{ - 2}  \\  = 2

8 0
3 years ago
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Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee
PSYCHO15rus [73]

Answer:

90 hours

Step-by-step explanation:

  1. 67 + 6 + 9 + 8 = 90 hours
8 0
3 years ago
If f(x) = 2x^2 + 1 and g(x) = x^2 - 7, find (f+g)(x)
jarptica [38.1K]
(f + g)(x) means f(x) + g(x)

So, you just input the function of f(x) and g(x) altogether, then simplify it.
(f + g)(x) 
= f(x) + g(x)
= 2x² + 1 + x² - 7
= 2x² + x² + 1 - 7
= 3x² - 6

The answer is b
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2 years ago
Multiplying Radicals With Foil ( 50 Points ) Provide Steps PLEASEEE
Anika [276]

Answer:

Answer is – 3

Step-by-step explanation:

expand the expression using ( a – b) ( a + b) = a² –b²

( 3 ) ² – ( 6) ² *remember to place your square roots inside the brackets my phone doesn't have one*

then simplify the radical

3–6 = – 3

8 0
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