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Sati [7]
3 years ago
6

2 1/3 * 2 1/4 * 1 3/8

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

7.21875

Step-by-step explanation:

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A pasta factory made 699.2 pounds of pasta in 8 minutes. How much pasta,on average, did the factory make each minute?
lozanna [386]

Answer:

87.4

Step-by-step explanation:

699.2/8=87.4

8 0
3 years ago
Read 2 more answers
1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?
mart [117]

Answer:

1. 19C8 = 75582

2. 19P8= 3047466240

Step-by-step explanation:

First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.

Combination:

When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582

Permutation:

When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.

6 0
3 years ago
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
Please help will give branliest! Find the two missing sides and write your answer as in simplified radical form.
hjlf

Answer: v = u= 2 \sqrt{2}

Step-by-step explanation:

v= cos45 * 4= 2 \sqrt{2}

- Apply Pythagorean theorem

4^{2}= (2\sqrt{2}) ^{2} + u^{2}

We have u = 2 \sqrt{2}

5 0
3 years ago
3x = 0.5.2<br><br> x = -6 or x = 0<br> x = -4 or x = 3<br> x = -2 or x = 1.5<br> x = 0 or x = 6
tiny-mole [99]

that is unsolvable coz no double decimal can be used

7 0
2 years ago
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