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2 years ago

Simplify. Remove all perfect squares from inside the square root.

Mathematics

1 answer:

nexus9112 [7]2 years ago

7 0

Answer:

$2z^{3} \sqrt{14z}$

Step-by-step explanation:

$\sqrt{56x^{7} } =\sqrt{(14)(2^{2} )(z^{2})(z^{2})(z^{2})(z) }$

$=2(z)(z)(z)\sqrt{14z} =2z^{3} \sqrt{14z}$

Hope this helps

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4a. If (11+x) is positive, but (4+x) is negative, what is one number that x could be?

sattari [20]

Answer:

Step-by-step explanation:

x has to be equal to or less than a -5 to get (4 + x) to be a negative number.

x has to be equal to or greater than -10 for (11 + x) to be a positive number.

Therefore, any number between -10 and -5 will work.

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3 years ago

Math PT Question 19 Which of the following is the correct equation for the trend line in the scatter plot ?

ki77a [65]

Using the points where the blue line crosses the X and Y axis:

(0,5) ans (-1, 0)

The slope is the change in Y over the change in X:

0-5 / -1 - 0 = -5/-1 = 5

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Equation = y = 5x+5

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3 years ago

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Please Answer!!!!

ExtremeBDS [4]

First mug holds the most

Solution:

Given that,

You are choosing between two mugs

The volume of cylinder is given as:

$V = \pi r^2h$

Where,

r is the radius and h is the height

One has a base that is 5.5 inches in diameter and a height of 3 inches

$radius = \frac{diameter}{2}$

Therefore,

$r = \frac{5.5}{2}\\\\r = 2.75$

Also, h = 3 inches

Thus volume of cylinder is given as:

$V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24$

Thus first mug holds 71.24 cubic inches

The other has a base of 4.5 inches in diameter and a height of 4 inches

$Radius = \frac{4.5}{2}\\\\r = 2.25$

h = 4 inches

Therefore,

$V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585$

Thus the second mug holds 63.585 cubic inches

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3 years ago

What are the odds in favor of choosing a person at random who chose juice a?

stealth61 [152]

37:53

Step-by-step explanation:

Step 1 :

Given

Number of people choosing Juice A = 37

Number of people choosing Juice B = 32

Number of people choosing Juice C = 21

We need to find the odds in favor of choosing a person who chooses juice A

Step 2 :

Here the number of success is the number of people choosing juice A = 37

Number of failures is the number of the people not choosing juice A = Number of people choosing juice B + Number of people choosing juice C = 32+21 = 53

Hence the odds in favor of choosing a person who chooses juice A is 37:53

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3 years ago

What is 1 and five eights plus 2 and threee sixteenths plus 7 and one half?

Helen [10]

Answer:

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3 years ago

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