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2 years ago

Determine an equivalent algebraic monomial expression using the laws of exponents. Show your work.

Mathematics

1 answer:

Serga [27]2 years ago

4 0

The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

<h3>How to determine an equivalent algebraic monomial expression?</h3>

The expression is given as:

(-8a^5b)(3ab^4)

Multiply -8 and 3

So, we have:

(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)

Multiply a^5 and a (a^5 * a = a^6)

So, we have:

(-8a^5b)(3ab^4) = (-24a^6b)(b^4)

Multiply b and b^4

So, we have:

(-8a^5b)(3ab^4) = -24a^6b^5

Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

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If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers

katrin2010 [14]

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

$Radius = r$

$Height = 9$

Cylinder 2:

$Radius = 3r$

$Height = 9$

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

$Volume = \pi r^2h$

For A:

$V_A = \pi r^2*9$

$V_A = 9\pi r^2$

For B:

$V_B = \pi (3r)^2 * 9$

$V_B = \pi *9r^2 * 9$

$V_B = 9* 9\pi r^2$

In (a): $V_A = 9\pi r^2$

So, we have ve:

$V_B = 9*V_A$

$V_B = 9V_A$

<em>If the first cylinder can fill 1, then the second can fill 9 pitchers</em>

7 0

3 years ago

An officeSupply company is shipping a case of paper to school. There are 10 reams of paper in the case. If each ream of paper aw

Alenkasestr [34]

------------------------------------
Find 10 reams
------------------------------------
1 ream = 32 ounces
10 reams = 32 x 10
10 reams = 320 ounces

------------------------------------
Convert ounce to pound:
------------------------------------
1 ounce = 0.0625
10 ounces = 0.0625 x 10
10 ounces = 0.625 pounds

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Answer: Each case weighs 0.625 pound.
------------------------------------------------------------------------

3 0

3 years ago

Help me out with this equation would be very helpful

Lisa [10]

Answer:

I think its C

Step-by-step explanation:

I could be wrong

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3 years ago

snow_tiger [21]

Answer:

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Step-by-step explanation:

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3 years ago

The Palace of Peace and Accord in Astana, Kazakhstan, was built in 200620062006. The building has a square right pyramid structu

Anastaziya [24]

Answer: h= 69.3m

Step-by-step explanation:

The correct values in the question are:

year : 2006, length 62, vertical height 62.

So, the measure asked is called slant height . we have to apply the formula:

sh = √(vh^2 + [L/2]^2)

Where:

vh= vertical height

L= length of a side of the square base

Replacing with the values given:

sh= √(62^2 + [62/2]^2)

sh = √(3,844 + 31^2)

sh= √(3,844 + 961)

sh = √4,805

hs= 69.31 =69.3 m (nearest tenth)

Since in the question that height is called h, h= 69.3

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3 years ago