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2 years ago

Combine the like terms to create an equivalent expression: --k+3k

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

7 0

Answer:

the answer is 2k

Step-by-step explanation:

iragen [17]2 years ago

4 0

Answer:

idk but add me on sc at stephen.huston

Step-by-step explanation:

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A candle in the shape of a circular cone has a base of radius r and a height of h that is the same length as the radius. which e

ladessa [460]

Answer:

$\frac{r(1-\sqrt{2})}{-3}$

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$

Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius

= $\frac{1}{3} \pi r^{2} \times r$

= $\frac{1}{3} \pi r^{3}$

Surface area of cone including 1 base = $\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}$

Since r = h

So, area = $\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}$

= $\pi r^{2} +\pi\times r \times \sqrt{2r^2}$

= $\pi r^{2} +\pi\times r^2 \times \sqrt{2}$

Ratio of volume of cone to its surface area including base :

$\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}$

$\frac{\frac{1}{3}r}{1+\sqrt{2}}$

$\frac{r}{3(1+\sqrt{2})}$

Rationalizing

$\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}$

$\frac{r(1-\sqrt{2})}{-3}$

Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is $\frac{r(1-\sqrt{2})}{-3}$

8 0

2 years ago

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jasmine has taken an online boating safety course and is now completing her end of course exam.As she answers each question, the

Alexus [3.1K]

20% of 16 which is. 10%=1.6 and another that would = 3.12

6 0

2 years ago

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items

Brilliant_brown [7]

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

$C(0) = 10(0) + 500 = 0 + 500 = 500$

b. For zero items produced, cost will be-

$C(25) = 10(25) + 500 = 250 + 500 = 750$

c. If $C(x)_{max} = 1500$

$10x + 500 = 1500\\10x = 1000\\x = 100$

∴ domain for cost function will be $[0,100]$ and range will be 100

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2 years ago

Find an equation of the plane that passes through the point P0 = (6, 3, 2) and is parallel to the xy-plane. g

Nutka1998 [239]

The xy-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.

Then the equation of the plane through (6, 3, 2) that is parallel to the xy-plane has equation

〈x - 6, y - 3, z - 2〉 • 〈0, 0, 1〉 = 0

==> z - 2 = 0

==> z = 2

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2 years ago

What irrational number is in between 9.6 and 9.7, please help me Mr. Aizawa is gonna kill me if i don't get my "easy" homework f

Eduardwww [97]

Answer:

goku solos mha universe

Step-by-step explanation:

hahahaha

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2 years ago

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