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noname [10]
3 years ago
7

A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill th

e funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?
A. 3
B. 4
C. 9
D. 10
Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

  D.  10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

  V = π(4 in)²(13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

  V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

  (208π in³)/(21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.

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8 0
3 years ago
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Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each),
babunello [35]

Answer:

A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.

Step-by-step explanation:

The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.

In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.

In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.

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4 0
2 years ago
Moderators<br><br><br>Need answers ​
GarryVolchara [31]

Step-by-step explanation:

please mark me as brainlest

4 0
2 years ago
Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
True [87]

Answer:

WE reject the Null and conclude that one of the drug is more effective than the other.

Step-by-step explanation:

Given :

Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5

Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3

This is a matched pair sample :

The hypothesis :

H0 : μd = 0

H1 : μd ≠ 0

Hence, we intun the difference between the two groups of value :

Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8

The test statistic :

dbar ÷ (Sd/√n)

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Standard deviation of difference, Sd = 4.51

Test statistic :

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df = n - 1 ; 10 - 1 = 9

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3 years ago
2x+y=-2. x+y=5. the x coordinate of the solution to the system shown is
lara31 [8.8K]
We have y = -2 - 2x ;
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x - 2 - 2x = 5;
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Finally, y = - 2  - 2 × ( - 7 ) ;
y = - 2 + 14 ;
y = 12;
<span>The x coordinate of the solution to the system is - 7 .</span>
4 0
3 years ago
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