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LuckyWell [14K]
3 years ago
6

Jack sold 30 glasses of lemonade in 5 hours.Which of the following should be used to find the rate per hour of jacks lemonade se

lling?

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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Margie's car can go 32 miles on a gallon of gas, and gas currently costs 4 per gallon. How many miles can Margie drive on $20 wo
stiks02 [169]
Gallon of gas be x
4x=20
x=5
per gallon=32m
with 5 gallon=32*5=160
3 0
3 years ago
Consider the force field and circle defined below.
grin007 [14]

By Green's theorem,

\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy

where C is the circle x^2+y^2=9 and D is the interior of C, or the disk x^2+y^2\le1.

Convert to polar coordinates, taking

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta

Then the work done by \vec F on the particle is

\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0

4 0
3 years ago
Please show me how to put 0.64 into a fraction
BigorU [14]

Answer:

64/100 is 0.64 into a fraction

8 0
4 years ago
The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)
jonny [76]

Answer:

Identity function    

Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

Then, inverse of f(x) can be written as:

f^{-1}(x)

The composition function of the function and the reverse function can be found as:

(f\circf^{-1})(x) = f(f^{-1})(x) = x

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

8 0
3 years ago
Solve for x*<br> (17x - 8)
djyliett [7]

Answer:x=4

Step-by-step explanation:

This triangle is an equilateral triangle with all angles equal.

Sum of angles in a triangle=180

17x-8+17x-8+17x-8=180

Collect like terms

17x+17x+17x-8-8-8=180

51x-24=180

51x=180+24

51x=204

Divide both sides by 51

51x/51=204/51

x=4

3 0
3 years ago
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