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3 years ago

Does this equation represent a direct variation? y=1/6x

Mathematics

1 answer:

DerKrebs [107]3 years ago

4 0

This equation represents a direct variation, for the ratio between y and x is constant~

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Solve 13x - 4 < 12(x - 1).

Effectus [21]

13x - 4 < 12(x-1)
13x - 4 < 12x - 12
13x - 12x < -12 + 4
x < -8
x > 8

x is greater than 8

6 0

3 years ago

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When company comes she makes 96 fluid ounces of coffee. H

Komok [63]

The answer is B. 48 x 2 = 96, 30 x 2 = 60.

6 0

4 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

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

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

91 more than the square of a number in verbal form

Naddika [18.5K]

X^2+91
X squared plus ninety one (91)

5 0

4 years ago

What is the answer 2n-3/5= 5 <br> n= what?

motikmotik

So you need to isolate the N right?
So what you want to do is add -3/5 to both sides to remove it from the left side. making it
2n=5+3/5 now all you need to do it isolate the N by divinding it by 2 on each side
n=5+3/5
/2
the 5+3/5 is divided by 2.
so N equales 5+3/5----/2

7 0

3 years ago