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3 years ago

Using the following graph, determine the slope of the line,

Mathematics

1 answer:

jek_recluse [69]3 years ago

7 0

Answer:

slop = - 2

Step-by-step explanation:

take points (0,10) (4,2)

slop = 10 - 2 / 0 - 4 = - 2

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Select Is a Function or Is not a Function to correctly classify each relation

Gemiola [76]

Answer:

yes

Step-by-step explanation:

x input repeats - 3

x input doesn't repeat

x input repeats -4

x input doesn't repeat

6 0

3 years ago

When a system of linear equations has a

yKpoI14uk [10]

Answer:

You are finding the intersection point of the system of linear equations.

Step-by-step explanation:

You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.

7 0

3 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

What is the value of t

olchik [2.2K]

Answer:

t = 89°

Step-by-step explanation:

total interior angle of triangle is 180°

angle 1 is (t-46), angle 2 is (t), angle 3 is (180-(t+43))

summing them:

(t-46)+(t)+(180-(t+43)) = 180°

t -46 + t + 180 -t -43 = 180°

t + 91° = 180°

t = 180° - 91°

t = 89°

6 0

2 years ago

Find the volume of a right circular cone that has a height of 3.2 in and a base with a

harkovskaia [24]

Answer:

28.18, rounding it, it would be 28.2 cubic inches

Step-by-step explanation:

V=Pir^2(h/3)

8 0

2 years ago