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fiasKO [112]
3 years ago
6

Determine the domain of the function. f(x) = 13/3-x

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0
Hi..... the domain(D) will be:

\mathtt {f(x)=\dfrac{13}{3-x}\rightarrow \boxed{D=\{x\in R\,|\,x\neq 3\}}}

Thanks... :)
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A factory makes light fixtures with right regular hexagonal prisms where the edge of a hexagonal base measures 4 cm and the leng
chubhunter [2.5K]

The maximum length of the prism is highest length of the hexagonal prism

The maximum length of each prism is 8.0 cm

<h3>How to determine the maximum length of each prism?</h3>

The surface area of the hexagonal prism is calculated using:

A = 6al + 3\sqrt3 a^2

Where:

a represents the edge length; a = 4 cm

l represents the length (or height) of the prism

The surface area costs $0.04 per square centimeter.

So, we have:

C = 0.04 * [6al + 3\sqrt3 a^2]

The maximum cost is $11.

So, the equation becomes

11 = 0.04 * [6al + 3\sqrt3 a^2]

Substitute 4 for a

11 = 0.04 * [6 * 4l + 3\sqrt3 * 4^2]

Evaluate the products and exponents

11 = 0.04 * [24l + 48\sqrt3]

Divide both sides by 0.04

275 = 24l + 48\sqrt3

Subtract 48\sqrt3 from both sides

24l = 275 - 48\sqrt3

Evaluate the difference

24l = 191.9

Divide both sides by 24

l = 8.0

Hence, the maximum length of each prism is 8.0 cm

Read more about surface areas at:

brainly.com/question/6613758

6 0
2 years ago
For every girl taking classes at school there are three boys if there are 236 student how many are boys.
BaLLatris [955]
1:3 is the ratio to boys and girls. I know that 1/4 must be girls. 3/4 will be boys.

Divide 236 by 4.

236/4= 59

Multiply that by 3.

59*3= 177

177 of the students are boys.

I hope this helps!
~kaikers
3 0
3 years ago
50 is 1/10 of ???? Any explanation please
Ede4ka [16]
50x1/10 equals 50/10 so the answer is 5.
6 0
3 years ago
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lisov135 [29]

Answer: 26

Step-by-step explanation:

lets replace a and b with the numbers provided

2+4(2+4)=2+4(6)=2+24=26

4 0
3 years ago
Explain how the position of the decimal point changes in a quotient as you divide by increasing powers of 10.
Darya [45]
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3 years ago
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