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Sonja [21]
2 years ago
9

If 64x=82, what is the value of x? Round your answer to three places.

Mathematics
1 answer:
labwork [276]2 years ago
3 0

Answer:

1.28

Step-by-step explanation:

First, you need to do 82/64, which will give you just x. Then, you need to round to three places. Without rounding it would be 1.28125

So with rounding it would be 1.28. Hope this helps and Happy learning!

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What is 0.000000783 written in scientific notation?
fredd [130]
7.83 x 10^-7 (the *^* is where the power goes)
3 0
2 years ago
Please help i have no idea with this lesson
sergey [27]

Answer:

40

Step-by-step explanation:

ABD-CBD=ABD

70-30=40

3 0
3 years ago
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Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
2 years ago
Staying at the hotel in Virginia Beach costs $98.99 a night. How much would it cost to stay 4 nights? 1. In the box below type w
grigory [225]

Answer:

1.   395.96      2.   addition    3.  I picked it because each night it is 98.99 so if you were there for 4 days you would do  98.99 +98.99 +98.99 +98.99.  Which equals 395.96.

Step-by-step explanation:

5 0
3 years ago
Will give brainliest if correct
zaharov [31]

Answer:

149.54

Step-by-step explanation:

No idea how I got this, but it is correct. I just plugged it into Omni calculator and it gave me that. :p

3 0
3 years ago
Read 2 more answers
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