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xxMikexx [17]
3 years ago
6

(4n⁴-8n+4) - (8n²+4n⁴+1) How do I simplify this expression?

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer:

-4n^4-4n^2-8n+3

Step-by-step explanation:

you combine the like terms

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9. Developing Proof Copy and complete the two-column proof.
goldenfox [79]

Answer:

try searching the answer up online!

Step-by-step explanation:

7 0
3 years ago
1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
I have attached a screenshot with the images of the two popcorn bags used by the theater.

Part (a):
Bag A:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 in
Bag B:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 in

Part (b):
To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²
Bag B:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²
From the above calculations, we can deduce that the theater should choose bag B in order to reduce the amount of paper needed.

Hope this helps :)



6 0
3 years ago
Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of
seraphim [82]
You do 6/4, so the answer should be: 1.5 hours!
5 0
2 years ago
You have lunch at an Italian restaurant. The cost of lunch before tax is
coldgirl [10]

7/100 = 0.07

0.07 * 12.5 = 0.88

20/100 = 0.2

0.2 * 12.5 = 2.5

2.5 + 0.88 = 3.38

3.38 + 12.50 = 15.88

You spend a total of $15.88.

4 0
3 years ago
Read 2 more answers
Which of the following is the quotient of b and a?
vlabodo [156]
\bf 19^{\frac{7}{4}}\cdot \sqrt[a]{19^b}=19^{\frac{5}{2}}\sqrt{19}\\\\
-----------------------------\\\\
a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-----------------------------\\\\
thus\qquad 19^{\frac{7}{4}}\cdot 19^{\frac{b}{a}}=19^{\frac{5}{2}}\cdot 19^{\frac{1}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{5}{2}+\frac{1}{2}}
\\\\\\


\bf 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{6}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^3\impliedby 
\begin{array}{llll}
\textit{same base, thus}\\
\textit{exponents must be the same}
\end{array}
\\\\\\
\cfrac{7}{4}+\cfrac{b}{a}=3\implies \cfrac{b}{a}=3-\cfrac{7}{4}
5 0
3 years ago
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