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Sever21 [200]
3 years ago
13

Please help me i dont wanna fail *Wispers: And, I wont be abel to play fortnite*

Mathematics
2 answers:
ryzh [129]3 years ago
5 0

Answer:

40.95

Step-by-step explanation:

If the jacket is 40% off, you still have to pay 100% -40% or 60%

The new price is the original price times 60%

new price = 65*60%

                 =39

We need to find the sales tax

tax= price * tax rate

    = 39 * 5%

   = 39 *.05

   =1.95

Final cost is the new price plus the tax

Final cost = 39+1.95

                 =40.95

Alik [6]3 years ago
3 0

40% off means you are paying 60% of the original price ( 100% - 40% = 60%


Multiply the price of the coat by 60%:

65.00 x 0.60 = 39.00 ( sale price)

Now multiply the sale price by 1.05 ( price of coat plus tax rate) to get the final cost:

39.00 x 1.05 = 40.95


The final price is $40.95

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Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).
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X2 + y2 = 29

Center of the circle 
x=0 and y=0

Therefore the slope of the line perpendicular to the tangent line
(y2-y1) / (x2-x1)
(5-0) / (2-0)
5/2
 
 so the slope of the tangent 
 -2/5             

General equation for the line
y = mx + c
if the line satisfies with the point (2,5)
5 = 2m + c

m = -2/5

5 = 2 * (-2/5) + c
c = 5 + (4/5)
c = 29/5

Therefore the equation of the line
y = mx + c
y = (-2/5) m + 29/5 
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Answer:

The correct answer is B

Step-by-step explanation:

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Hey there!
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When two quantities a,b are \textbf{directly} proportional, that means any change in a manifests a \textbf{direct} change (think "in the same direction") in b.

Silly example: "The more I eat, the fatter I get." Here the amount one eats is directly proportional to one's body weight.

This change isn't always one-for-one, so we introduce a constant k to account for any scaling that occurs on either variables behalf. In general, though, we can write a directly proportional relationship as a=kb.

Now, when a,b are \textbf{inversely} proportional, then a change in a manifests a change in b in the \textbf{inverse} (opposite) direction.

Silly example: "The more I eat, the less thin I get."

This time we write the relation as ab=k.

To get back to your problem: To say that the rate of change of y(x) is inversely proportional to \sqrt y is to say that there is some constant k such that

\sqrt y\dfrac{\mathrm dy}{\mathrm dx}=k

This is a separable ODE:

y^{1/2}\,\mathrm dy=k\,\mathrm dx
\displaystyle\int y^{1/2}\,\mathrm dy=\int k\,\mathrm dx
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