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faltersainse [42]
2 years ago
9

Jacob earns $19.00 for walking 4 dogs. How much money would he earn for walking 7 dogs? Walking 8 dogs? 1 dog?

Mathematics
1 answer:
VMariaS [17]2 years ago
7 0

Answer:

$19.00 = 4x

Divide 4 on both sides

4.75 = x He ears $4.75 for one dog

$4.75(x)

$4.75(7 dogs)

= $33.25

--------------

$4.75(x)

$4.75(8 dogs)

= $38

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Slader records show that the average life expectancy of a pair of shoes is 2.2 years with astandard deviation of 1.7 years. A ma
Oksanka [162]

Answer:

For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.

Step-by-step explanation:

Given:

Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)

Let's find the Z score.

Z = \frac{x - mean}{S.D}

Now plug in the given values in the above formula, we get

Z = \frac{1 - 2.2}{1.7} = -0.71

Now we have to use the z-score table.

The z-score for 0.71 is 0.2611

Since it z is negative, so we subtract 0.2611 from 0.5000

0.5000 - 0.2611 = 0.2389

Percentage = 0.2389 × 100 = 23.89%

To find replaces for 1000 pairs, we need to multiply 23.89% by 1000

= \frac{23.89}{100} .1000 = 238.9

= 239

The cannot be in decimal, when we round off to the nearest whole, we get

239

3 0
3 years ago
Consider the equation y = –3(x – 3) Which equation, when graphed with the given equation, will form a system with lines that ove
pentagon [3]

Answer:

y=-3x+9 (D)

Step-by-step explanation:

8 0
3 years ago
For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential f
Phantasy [73]

The key idea is that, if a vector field is conservative, then it has curl 0. Equivalently, if the curl is not 0, then the field is not conservative. But if we find that the curl is 0, that on its own doesn't mean the field is conservative.

1.

\mathrm{curl}\vec F=\dfrac{\partial(5x+10y)}{\partial x}-\dfrac{\partial(-6x+5y)}{\partial y}=5-5=0

We want to find f such that \nabla f=\vec F. This means

\dfrac{\partial f}{\partial x}=-6x+5y\implies f(x,y)=-3x^2+5xy+g(y)

\dfrac{\partial f}{\partial y}=5x+10y=5x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\implies g(y)=5y^2+C

\implies\boxed{f(x,y)=-3x^2+5xy+5y^2+C}

so \vec F is conservative.

2.

\mathrm{curl}\vec F=\left(\dfrac{\partial(-2y)}{\partial z}-\dfrac{\partial(1)}{\partial y}\right)\vec\imath+\left(\dfrac{\partial(-3x)}{\partial z}-\dfrac{\partial(1)}{\partial z}\right)\vec\jmath+\left(\dfrac{\partial(-2y)}{\partial x}-\dfrac{\partial(-3x)}{\partial y}\right)\vec k=\vec0

Then

\dfrac{\partial f}{\partial x}=-3x\implies f(x,y,z)=-\dfrac32x^2+g(y,z)

\dfrac{\partial f}{\partial y}=-2y=\dfrac{\partial g}{\partial y}\implies g(y,z)=-y^2+h(y)

\dfrac{\partial f}{\partial z}=1=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=z+C

\implies\boxed{f(x,y,z)=-\dfrac32x^2-y^2+z+C}

so \vec F is conservative.

3.

\mathrm{curl}\vec F=\dfrac{\partial(10y-3x\cos y)}{\partial x}-\dfrac{\partial(-\sin y)}{\partial y}=-3\cos y+\cos y=-2\cos y\neq0

so \vec F is not conservative.

4.

\mathrm{curl}\vec F=\left(\dfrac{\partial(5y^2)}{\partial z}-\dfrac{\partial(5z^2)}{\partial y}\right)\vec\imath+\left(\dfrac{\partial(-3x^2)}{\partial z}-\dfrac{\partial(5z^2)}{\partial x}\right)\vec\jmath+\left(\dfrac{\partial(5y^2)}{\partial x}-\dfrac{\partial(-3x^2)}{\partial y}\right)\vec k=\vec0

Then

\dfrac{\partial f}{\partial x}=-3x^2\implies f(x,y,z)=-x^3+g(y,z)

\dfrac{\partial f}{\partial y}=5y^2=\dfrac{\partial g}{\partial y}\implies g(y,z)=\dfrac53y^3+h(z)

\dfrac{\partial f}{\partial z}=5z^2=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=\dfrac53z^3+C

\implies\boxed{f(x,y,z)=-x^3+\dfrac53y^3+\dfrac53z^3+C}

so \vec F is conservative.

4 0
3 years ago
I need help please, I dont know how to do this
Oliga [24]

Answer:

Step-by-step explanation:

Odd numbers backwards - 9, 7, 5, 3

1 = -2+9=7

2 = -1+7=6

3 = 0+5=5

4 = 1 +3=4

3 0
2 years ago
Find the height, please! need asap
sp2606 [1]

Answer:

Height = 8 cm

Step-by-step explanation:

Volume of cylinder = π×r²×h

288π = π × 36 × h

(Divide both sides by π)

288 = 36 × h

(Divide 288 by 36)

8 = h

5 0
3 years ago
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