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3 years ago

13

it is 12 degrees colder in the mountains than in the valley. The temperature on the mountain is x. The temperature in the valley

is y

1 answer:

Grace [21]3 years ago

6 0

X= y+12

OR

Valley(y)= mountain(x)-12

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The answer is A Ezra is right

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3 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,

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

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3 years ago

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natali 33 [55]

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Im confused by what youre asking but mode is the number that occurs the most, mean is the average, median is the middle, data is gathered information, and statistics is analyzing information

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3 years ago

Find [h(x) +m(x)]-[h(x)-m(x)]<br> H(x)=1/3x3/3 3x2+9x-2<br> M(x)=13 3/5x+6x3-2x2-4x

Andre45 [30]

Answer:

\frac{276}{5}-8x)

Step-by-step explanation:

We are given with

H(x)=1/3x3/3 3x2+9x-2

And

M(x)=13 3/5x+6x3-2x2-4x

And asked to determine

[h(x) +m(x)]-[h(x)-m(x)]

Opening the second parenthesis

h(x) +m(x)-h(x)+m(x)

As we subtracted the second bracket, the sign get reversed.

As h(x) has opposite signs , they get cancelled

h(x) +m(x)-h(x)+m(x)

=2m(x)

=2(13\tfrac{3}/{5}x+6x3-2x2-4x)

=2(\frac{13 \times 5 + 3}{5}+18-4-4x)

=2(\frac{68}{5}+14-4x)

=2(\frac{68+70}{5}-4x)

=2(\frac{138}{5}-4x)

=\frac{276}{5}-8x)

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3 years ago