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Pepsi [2]
3 years ago
6

Pocahontas wants to buy a tennis racket that is 70% off. The original price is $156.33. What is amount of discount (nearest penn

y)?
What is the sale price (nearest penny) please show your work
Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

1. You could plug this into the calculator as either 70% of 156.33 or 0.7 × 156.33, but either way you know the discount is going to be $109.43

2. We got the discount, so all you have to do is subtract it from the original. 156.33 - 109.43 = $46.90 which is the sale price! I hope this helps

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Anybody know the anwser
Darya [45]

Answer:

A 3 goes in the parentheses. The expression evaluates to 59.

Step-by-step explanation:

b = 3

2b^3 + 5 =

= 2(3)^3 + 5

= 2 * (3 * 3 * 3) + 5

= 2 * 27 + 5

= 54 + 5

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Find the surface area.
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Answer:

A≈896.81

Step-by-step explanation:

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8 0
3 years ago
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Let II be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). Let S, x² + y^2 + z = 4 be another
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Let F(x,y,z)=f(x,y)-z. The tangent plane to f(x,y) at (1, 2, -6) has equation

\nabla F(1,2,-6)\cdot(x-1,y-2,z+6)=0

We have

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Then the tangent plane has equation

(-4,-12,-1)\cdot(x-1,y-2,z+6)=0\implies -4(x-1)-12(y-2)-(z+6)=0\implies 4x+12y+z=22

Let g(x,y)=4-x^2-y^2, and G(x,y,z)=g(x,y)-z. The tangent plane to S at a point (a,b,c) is

\nabla G(a,b,c)\cdot(x-a,y-b,z-c)=0

We have

\nabla G(x,y,z)=(-2x,-2y,-1)\implies \nabla G(a,b,c)=(-2a,-2b,-1)

so that this plane has equation

(-2a,-2b,-1)\cdot(x-a,y-b,z-c)=0\implies2ax+2by+z=2a^2+2b^2+c

In order for this plane to be parallel to the previous plane, we need to have

\begin{cases}2a=4\\2b=12\end{cases}\implies a=2,b=6\implies g(a,b)=c=-36

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Answer:

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Step-by-step explanation:

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