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solniwko [45]
3 years ago
8

An amphitheatre has 24 seats in the first​ row, 28 in the​ second, 32 in the​ third, and so​ on, for 29 rows. How many seats are

in the​ amphitheatre?
Mathematics
1 answer:
melomori [17]3 years ago
3 0
The answer is 2,320 seats in the amphitheater. Since the seats are increasing at a rate of 4 more seats each row, then just add 4 to the number for each past row starting at 32 since that's where the rest is unknown. Once you find all he numbers just add them up to get your answer.
I hope I helped!
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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
Solve x2 + 2x + 9 = 0
Keith_Richards [23]
x^2+2x+9=0 \\ \\&#10;a=1 \\ b=2 \\ c=9 \\ b^2-4ac=2^2-4 \times 1 \times 9=4-36=-32 \\ \\&#10;x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-2 \pm \sqrt{-32}}{2 \times 1}=\frac{-2 \pm \sqrt{-16 \times 2}}{2}=\frac{-2 \pm 4i\sqrt{2}}{2}=-1 \pm 2i\sqrt{2}

The answer is D.
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BlackZzzverrR [31]
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2 years ago
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Artyom0805 [142]

Answer:

6.7%

Step-by-step explanation:

cost: 75 cedis

sale price: 80 cedis

amount of profit: 80 cedis - 75 cedis = 5 cedis

Now we find what percent 5 cedis is of 75 cedis.

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zhenek [66]

Answer:

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Step-by-step explanation:

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