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3 years ago

To convert a capacity of 8.7 gallons to quarts which ratio could you multiply by

1 answer:

6 0

A- 4 quarts over 8.7 gallon

B- 1 gallon over 4 quarts

C- 8.7 gallons over 4 quarts

D- 4 quarts over 1 gallonUpdate: Remember that 1 gallon = 4 quarts

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Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva project

MissTica

Answer:

$126

Step-by-step explanation:

just used the calculator

4 0

3 years ago

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Solving a system of equation x+5y=15 -3x+2y=6

Colt1911 [192]

Answer:

(0,3)

y=3

x=0

Step-by-step explanation:

x+5y=15

-3x+2y=6

solve the equation

x=15-5y

-3x+2y=6

substitute the value of x into an equation

-3(15-5y)+2y=6

distribute

-45-15y+2y=6

add 15 to 2

-45-17y=6

add 45 from both sides

17y=51

divide both sides by 17

y=3

substitute the value of y into an equation

x=15-5•3

multiply 5 to 3

x=15-15

subtract

x=0

(0,3)

6 0

3 years ago

Find the volume of the ellipsoid x^2+y^2+9z^2=64

yuradex [85]

Parameterize the ellipsoid using the augmented spherical coordinates:

$\begin{cases}x=\frac18\rho\cos\theta\sin\varphi\\\\y=\frac18\rho\sin\theta\sin\varphi\\\\z=\frac38\rho\cos\varphi\end{cases}$

Then the Jacobian for the change of coordinates is

$\mathbf J=\dfrac{\partial(x,y,z)}{\partial(\rho,\theta,\varphi)}=\begin{bmatrix}\frac18\cos\theta\sin\varphi&-\frac18\rho\sin\theta\sin\varphi&\frac18\rho\cos\theta\cos\varphi\\\\\frac18\sin\theta\sin\varphi&\frac18\rho\cos\theta\sin\varphi&\frac18\rho\sin\theta\cos\varphi\\\frac38\cos\varphi&0&-\frac38\rho\sin\varphi\end{bmatrix}$

which has determinant

$\det\mathbf J=-\dfrac3{512}\rho^2\sin\varphi$

Then the volume of the ellipsoid is given by

$\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\iiint_E|\det\mathbf J|\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

where $E$ denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume

$\displaystyle\frac3{512}\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\dfrac\pi{128}$

4 0

3 years ago

Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 if

bezimeni [28]

Answer:

$27,272.73= sales

Step-by-step explanation:

Giving the following information:

Desired commission= $900

Commission rate= 3.3% = 0.033 of sales

To calculate the sales required, we need to use the following formula:

Commission= sales*commission rate

900= sales*0.033

900/0.033= sales

$27,272.73= sales

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3 years ago

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Which choice is equivalent to the quotient shown here when X>0? Square Root 18x divided by square root 32

Marina86 [1]

Answer:

The answer is A

Step-by-step explanation:

3 0

3 years ago