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2 years ago

14

Fred lives in Rhode Island and pays 7% in sales tax. If he just

1 answer:

musickatia [10]2 years ago

6 0

I think its letter C 58.85

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Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 2

taurus [48]

The jeans would cost Seema $25.20.

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2 years ago

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ms.lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet. What is the length of the new roo

dexar [7]

Length of the new room is 17ft

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2 years ago

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9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2

Sladkaya [172]

Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12

For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20

You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).

5 0

2 years ago

Simplify the numerical expression 5.75 - 1/2 (20÷2.5) ÷ 2+6

svet-max [94.6K]

Answer:

5.75 - 1/2 times 8 divided by 2 + 6

Step-by-step explanation:

3 0

2 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function <em>f</em>, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to <em>x</em> :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to <em>y</em> :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to <em>y</em> :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to <em>z</em> :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

2 years ago