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snow_tiger [21]
3 years ago
10

HELP WITH THIS PLEASE

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Step-by-step explanation:

1a.

(2 {p}^{2} )^{3}  =  {2}^{3} {p}^{6}  = 2p \times 2p\times 2p\times p\times p\times p

(2p^2)^3 without exponents will represent 2p being multiplied by 2p 2 times and by p 3 times.

<u>1b. Solve:</u>

<u>Include exponent outside parenthese:</u>

<u>{2}^{3} {p}^{2 \times 3}</u>

8 {p}^{6}

8p^6 is your answer for part B.

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What is the slope of this line?
garri49 [273]

Answer:

-1.5/2

Step-by-step explanation:

5 0
3 years ago
A cake has circumference of 25 1/7inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredt
bixtya [17]
We know that
area of the circle=pi*r²

circumference==2*pi*r----------> r=circumference/(2*pi)
circumference=25 1/7 in----> (25*7+1)/7----> 176/7 in
r=(176/7)/(2*22/7)----> r=176/44----> r=4 in

area of the circle is equal to the area of the cake
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the answer is
50.29 in²
5 0
3 years ago
Find the volume of the rectangle 4 2/3cm,9 1/8cm, 2cm
amm1812

Answer:

\large\boxed{V=85\dfrac{1}{6}\ cm^3}

Step-by-step explanation:

The formula of a volume of a rectangular prism:

V=lwh

l - length

w - width

h - height

We have

l=4\dfrac{2}{3}\ cm=\dfrac{4\cdot3+2}{3}\ cm=\dfrac{14}{3}\ cm\\\\w=9\dfrac{1}{8}\ cm=\dfrac{9\cdot8+1}{8}\ cm=\dfrac{73}{8}\ cm\\\\h=2\ cm

Substitute:

V=\dfrac{14}{3}\cdot\dfrac{73}{8}\cdot2=\dfrac{7}{3}\cdot\dfrac{73}{2}\cdot1=\dfrac{511}{6}=85\dfrac{1}{6}\ cm^3

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