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3 years ago

750x + 17y = 141.61

Mathematics

2 answers:

MAVERICK [17]3 years ago

7 0

I’ll answer this in a second

ArbitrLikvidat [17]3 years ago

7 0

Answer:

Correct answer is D the cost of natural gas is $0.83 per unit.

Step-by-step explanation:

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URGENT! In ABC. what is the value of r?

Bond [772]

Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

${9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2$

3 0

2 years ago

Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤

dusya [7]

Continuing from the setup in the question linked above (and using the same symbols/variables), we have

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}(\nabla\cdot f)\,\mathrm dV$
$=\displaystyle6\int_{z=0}^{z=c}\int_{y=0}^{y=b}\int_{x=0}^{x=a}(5-x)\,\mathrm dx\,\mathrm dy\,\mathrm dz$
$=\displaystyle6bc\int_0^a(5-x)\,\mathrm dx$
$=6bc\left(5a-\dfrac{a^2}2\right)=3abc(10-a)$

The next part of the question asks to maximize this result - our target function which we'll call $g(a,b,c)=3abc(10-a)$ - subject to $0\le a,b,c\le12$ .

We can see that $g$ is quadratic in $a$ , so let's complete the square.

$g(a,b,c)=-3bc(a^2-10a+25-25)=3bc(25-(a-5)^2)$

Since $b,c$ are non-negative, it stands to reason that the total product will be maximized if $a-5$ vanishes because $25-(a-5)^2$ is a parabola with its vertex (a maximum) at (5, 25). Setting $a=5$ , it's clear that the maximum of $g$ will then be attained when $b,c$ are largest, so the largest flux will be attained at $(a,b,c)=(5,12,12)$ , which gives a flux of 10,800.

7 0

3 years ago

Write y=-3/4 x-2 in standard form using integers.

jeyben [28]

Standard form is Ax + By = C

y = (-3/4)x - 2

Multiply both sides by 4.

4y = -3x - 8

Add 3x on both sides

3x + 4y = -8

Your final answer is 3x + 4y = -8.

8 0

3 years ago

Jeremy bake 9 cakes for the bake sale he put 2 cups of powder surger evenly on the tops

yanalaym [24]

If Jeremy has 2 cups of sugar, and evenly distributes it onto 9 cakes, he would have put .222 (repeating 2) cups of cake on each cake.

4 0

3 years ago

Zoey needs at least $30 to buy a gift. She has $12. Which inequality could Zoey use to find out how much more money (m) she need

Juli2301 [7.4K]

The inequality would look something like; x+12=30

7 0

3 years ago

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