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3 years ago

What is the diameter of a hemisphere with a volume of 7834 cm^3, to the nearest tenth of a centimeter

Mathematics

1 answer:

tatyana61 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

$Volume=7834cm^{3}\\\\\frac{2}{3}*\pi *r^{3}=7834\\\\\frac{2}{3}*3.14 *r^{3}=7834\\\\r^{3}=\frac{7834*3}{2*3.14}\\\\r^{3}=3742.36\\\\r=\sqrt[3]{3742.36}\\\\$

r =15.53 cm

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Pls help this is for math ill give a brainly

olasank [31]

Answer: The last one - 5 1/3 divided by 1/6

Step-by-step explanation:

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Hope this helps :)

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3 years ago

Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of

ser-zykov [4K]

Answer: graph E.

A geometric sequence can be written as:

$a_{n} = a_{1} \cdot r^{(n - 1)}$

where:

a₁ = first term = 4

r = ratio = 0.5

Substituting the numbers, we have:

$a_{n} = 4 \cdot (\frac{1}{2})^{n-1}$

or else

$f(x) = 4 \cdot (\frac{1}{2})^{x - 1}$

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).

In order to choose between graph B and E, let's evaluate the function in two different points:

$f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4$

$f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2$

Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.

3 0

3 years ago

Read 2 more answers

HDTV screens usually have a width-to-heigh ratio of 16:9. Which screen dimensions are in the same proportion?

Lana71 [14]

Answer:

4: 3

Step-by-step explanation:

In this case, we have that there is a relationship between width and height, which is 16: 9, which means that any screen that has the same ratio would be an identical screen.

How would we do this? it must either be raised to a power or rationalized on both sides of the ratio.

If we raise to a power, it would give very large dimensions for an HDTV, therefore, it is best to remove the square root on both sides, since it has more common values for a TV.

$\sqrt{16} :\sqrt{9}$

4: 3

Therefore, a 4: 3 screen is a good choice for an HDTV with the same ratio.

5 0

3 years ago

A recipe calls for 3/4 cup of sugar.

zubka84 [21]

6
I multiplied both the numbers and got that, hope this helped

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3 years ago

Last year the girl's basketball team had 8 fifth-grade students and 7 sixth-grade students.What was the ratio of sixth-grade stu

Rashid [163]

Answer:

The ratio of sixth-grade students to fifth-grade students on the team was 7 : 8.

Step-by-step explanation:

Given:

The girl's basketball team had 8 fifth-grade students and 7 sixth-grade students.

Now, to find the ratio of sixth-grade students to fifth-grade students on the team.

Number of fifth-grade students = 8.

Number of sixth-grade students = 7.

Now, to get the ratio of sixth-grade students to fifth-grade students on the team :

$Number\ of\ sixth-grade\ students:Number\ of\ fifth-grade\ students$

$=7:8.$

Therefore, the ratio of sixth-grade students to fifth-grade students on the team was 7 : 8.

4 0

4 years ago