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3 years ago

Brian is planning to donate 13% of his income to charity. His weekly paycheck is $667.63. How much does Brian plan to donate?

Mathematics

2 answers:

-Dominant- [34]3 years ago

6 0

86.79 i used the calculator

Salsk061 [2.6K]3 years ago

3 0

Answer:

Brian is planning on donating $86.79.

Step-by-step explanation:

The first step is to write 13% in decimal form. We then multiply, .13 x 667.63=$86.79

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If 50 milliliters of a liquid are poured from a graduated cylinder into a container with a different shape, how much liquid will

jek_recluse [69]

Answer:

B, 50 milliliters.

Step-by-step explanation:

No matter the shape of the container, if no liquid is removed from the first container, or on its way into the second container, the same amount of liquid will remain.

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3 years ago

I need help please I don't understand

goblinko [34]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

$\int_C F \cdot dr = f(r(\pi))-f(r(0))$

Recall that $r(\pi) = (\pi^2, 0, \pi)$ so $f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0$

Also $r(0) = (0, 0, 0)$ so $f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0$

So $\int_C F \cdot dr =0$

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3 years ago

It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?

svp [43]

The answer is <span>0.10619469026.

It takes about 9lbs of seed to plant 1-acre, so to find the answer divide 12/113 and you get how many acres 1lb of seed could cover.

Hope this helps :-)

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3 years ago

Give the following equation in point slopr form, what is the slope of the line?

AVprozaik [17]

Answer:

Slope= 3

Step-by-step explanation:

y - 4= 3(x+6)

y - 4= 3x + 18 distributive property

y - 4(+4) = 3x + 18(+4)

cancel out the 4 with its oposite and apply to both sides.

y = 3x + 22 final answer

Remember the slope intersept equation... y=mx+b

m is slope

b means the y-intersept.

So the final slope of the line is 3. (demostrated by graph below)

<em>Program for graph: Desmos</em>

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3 years ago