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3 years ago

A stereo was sold for $270 after it was reduced by ⅓ of the original price. What is the original price?

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

The answer is 810 because 270x3=810

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At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

4 0

4 years ago

Select the correct answer.

Sergio [31]

Answer: Answer A on Edmentum

Step-by-step explanation:

7 0

3 years ago

A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502

aleksklad [387]

Answer:

116

Step-by-step explanation:

502/9*2

About 57.8*2

115.6

Round up to 116

The local shop serves about 116 customers a day.

8 0

3 years ago

There are many cylinders with a height of 18 meters. Let represent the radius in meters and represent the volume in cubic meters

antiseptic1488 [7]

Answer:

Step-by-step explanation:

1). Equation that represents the volume of a cylinder,

V = πr²h

Here, r = radius of the cylinder

h = Height of the cylinder

2). Fromm the given formula of volume,

r(In m) V(In cubic meters)

1 56.55

2 226.19

3 508.94

3). If the radius is doubled from 1 m to 2 m,

At r = 1 m, Volume (V₁) = 56.55 m³

At r = 2 m, Volume (V₂) = 226.19

$\frac{V_2}{V_1}=\frac{226.19}{56.55}$

= 4

Therefore, volume is not doubled when radius of the cylinder is doubled.

8 0

3 years ago

A complete desktop computer costs $965. A replacement monitor costs $238, a replacement hard drive costs $260, a replacement out

mr_godi [17]

Answer:

the answer is B

Step-by-step explanation:

I took the test

6 0

3 years ago

Read 2 more answers