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3 years ago

3x^14 y^11 / 18x^2 please help and explain, thanks so much.

Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

Answer:

x¹²y¹¹/6

Step-by-step explanation:

cancel 18 by 3,then minus the x¹⁴ to the 18²

but you don't have to do something on y¹¹

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If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area bas

alexandr1967 [171]

Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

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3 years ago

What is the probability of rolling a 4, 5 or 6 on a die?<br><br> 1/36<br> 2/12<br> 1/2<br> 6/9

pychu [463]

1/2 is the correct answer

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3 years ago

Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Advocard [28]

Answer:

The solution is possible

Step-by-step explanation:

Given

$f(x) = 5 * 2^x$

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

$200 = 5 * 2^x$

Divide both sides by 5

$\frac{200}{5} = \frac{5}{5} * 2^x$

$\frac{200}{5} = 2^x$

$40 = 2^x$

$2^x =40$

Take logarithm of both sides

$log2^x =log40$

Apply law of logarithm

$xlog2 =log40$

Divide both sides by log2

$x = \frac{log40}{log2}$

$x = \frac{1.6021}{0.3010}$

$x = 5.32$

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

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3 years ago

In a geometric sequence, the ratio between consecutive terms is...

Leokris [45]

<h3>Answer: The same or equal</h3>

========================================================

Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

6/3 = 2
12/6 = 2
24/12 = 2
48/2 = 2

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

1, -1, 1, -1, 1, -1, ....

we just bounce back and forth between those two values. In this case, r = -1.

6 0

3 years ago

What is the diameter of the sphere?

Rufina [12.5K]

Remember the equation for the volume of a sphere:

$V = \dfrac{4}{3} \pi r^3$