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IgorC [24]
3 years ago
14

When a number is decreased by 7.3%, the result is 60. What is the original number to

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

Original Number = let we assume it is x

Number after decremented =  y = 60

Total decrease = z = x-y = x-60

% of decrease = ((x-60)/x)*100 = 7.3

(x-60)*100 = 7.3x

100x -6000 = 7.3x

100x-7.3x = 6000

92.7x = 6000

x = 6000/92.7 = 64.73

Original Number = 64.73

Step-by-step explanation:

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You haven't told us whether the rectangular prism is the size of a pack of gum or more like the size of a cruise ship.

Whatever size it is, here's the number of centimeter squares you need to cover the whole outside of it:

(2 x length x width) + (2 x length x height) + (2 x width x height)

with all measurements made in centimeters.
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3 years ago
If 7 - 1 is 6 then what would it be if you multiply it by 11700 and subtract by 5000?
steposvetlana [31]

Answer: 65200

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Answer:

infinity

Step-by-step explanation:

you can change x and then every answer will be different

8 0
3 years ago
Please help. I need to raise my grade!
scoundrel [369]
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7 0
3 years ago
Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1
algol [13]

Find the critical points of f(x,y):

\dfrac{\partial f}{\partial x}=-2x=0\implies x=0

\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12

All three points lie within D, and f takes on values of

\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}

Now check for extrema on the boundary of D. Convert to polar coordinates:

f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t

Find the critical points of g(t):

\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0

\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2

\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi

where n is any integer. There are some redundant critical points, so we'll just consider 0\le t< 2\pi, which gives

t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3

which gives values of

\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}

So altogether, f(x,y) has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0
3 years ago
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