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Arturiano [62]
3 years ago
5

The eurasian plate travels the slowest, at about 0.7 cm/y. How long would it take the plate to travel 3 cm?

Mathematics
1 answer:
damaskus [11]3 years ago
5 0
Simply divide 3 by 0.7,

3 \div 0.7 =  \frac{30}{7}  = 4 \frac{2}{7}

Or ≈ 4.28571 which is ≈ 4 years.
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a football is kicked into the air. The height of the football can be modeled by h=-16x^2 +32x, where h is the height reached by
Andrej [43]

Your question is incomplete, here is the complete question;

A football is kicked into the air and follows the path defined by h=-2x^2+16x, where x is the time in seconds and h is the height in meters. What is the maximum height reached by the football?

Answer:

maximum height=h=32 meters

Step-by-step explanation:

The given equation is the equation of the parabola or quadratic equation.

The maximum height of the ball will occur at the axis of symmetry.

For the axis of symmetry let h=0,

so,

-2x^2+16x=0

comparing this equation to standard quadratic/parabola's equation, we get

a= -2, b=16 and c=0

Formula for axis of symmetry is x=-b/2a

x=-16/2*(-2)

x=-16/-4

x=4 it means axis of symmetry is vertical line through the point x=+4, so the maximum height will occur at x=+4

put x=4 to get maximum height as;

h=-2(4)^2+16(4)

h=-2(16)+64\\\\h=-32+64\\\\h=32

Maximum height=h=32\ meter

8 0
3 years ago
What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
3 years ago
The school bookstore ordered three-ring notebooks. They put 75% of the order in the warehouse and sold 0% of the rest in the fir
vladimir2022 [97]

Answer:

Step-by-step explanation:

100% divided by 4 is 25%

25 books were 1/4 of the books total.

the other 3/4 would be 75%

they og ordered 100 books

7 0
2 years ago
A small hole in the wing of a space shuttle requires a 20.7 cmଶ patch. What is the patch’s area in square kilometers (kmଶ )? If
Reptile [31]

Answer:

look it up

Step-by-step explanation:

3 0
3 years ago
To celebrate 25 years in business, the furniture store is having a 25% off sale on all their furniture. Estimate the new price b
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Answer:

140

Step-by-step explanation:

8 0
3 years ago
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