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3 years ago

14

Simplify 5 radical -24

1 answer:

Aleks [24]3 years ago

6 0

Answer:

= 10root6 i

Step-by-step explanation:

= 5 • 2root6 i

= 10root6 i

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You've decided to become a yogi. The Yogaerobics

Anastasy [175]

Well 8 times 15 is 120 so once you know that 8 times 8 is 64 plus 45 witch is 109 so u would have to atleast take 8 classes for the member ship to be worth it. 8

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3 years ago

Which inequality is true?<br> O A. 107 > 30<br> B. +437<br> O C. 2 > 2<br> D. 8 - 7 > 5

qaws [65]

Answer: A

Step-by-step explanation: 107 is larger than 30

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3 years ago

A speedboat traveling at a constant speed arrives at its destination in 35 minutes if it traveled 70 miles then what was the spe

dalvyx [7]

So speed = distance divided by time, therefore 70 miles divided by 35 minutes = 120mph. The speedboats speed was 120mph.

Hope this helps

6 0

3 years ago

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Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub

ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

$V = 288$ --- Volume

$C_1 = 0.06$ --- cost of wall paint

$C_2 = 0.16$ ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

$V =xyz$

Substitute 288 for V

$288 =xyz$

Make z the subject

$z = \frac{288}{xy}$

The surface area is calculated as:

$Area = 2(yz + xz) + xy$

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

$C = 0.06 * 2(yz + xz) + 0.16 * xy$

Substitute $z = \frac{288}{xy}$

$C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy$

$C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy$

$C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy$

$C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy$

$C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy$

Differentiate w.r.t x and y

$C_x = -\frac{34.56}{x^2} + 0.16y$

$C_y = -\frac{34.56}{y^2} + 0.16x$

By comparison: $x = y$

Set them equal to 0

$C_y = -\frac{34.56}{y^2} + 0.16x=0$

$-\frac{34.56}{y^2} + 0.16x=0\\$

Substitute x for y

$-\frac{34.56}{x^2} + 0.16x=0$

$0.16x=\frac{34.56}{x^2}$

Cross multiply

$0.16x^3 = 34.56$

$x^3 = \frac{34.56}{0.16}$

$x^3 = 216$

Take the cube root of both sides

$x = \sqrt[3]{216}$

$x = 6$

$x=y= 6$

Substitute 6 for x and for y in $C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy$

$C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6$

$C = (\frac{2*34.56}{6}) + 5.76$

$C = 11.52 + 5.76$

$C = 17.28$

$C = 17.3$ --- approximated

8 0

3 years ago

Is the number 12 a monomial?

grigory [225]

Hey there!

GUIDE:

MONOMIAL has ONE TERM

BINOMIAL has TWO TERMS

TRINOMIAL has THREE TERMS

POLYNOMIAL has MANY TERMS

Now that we got that information we already found out what your answer should be.

The number 12 is a MONOMIAL because it has ONE term. So therefore, to answer your question. YES 12 is a monomial ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

5 0

3 years ago

Read 2 more answers