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finlep [7]
3 years ago
10

A bus traveled 150 mlles in 3 hours. At what average rate did the bus travel?

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

50 Miles at an average rate

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Mumz [18]

Answer:

Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

Step-by-step explanation:

The equation of the curve is

Y = sin^{-1}(7x)

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

Y'=\frac{7}{\sqrt{1-49x^2} }

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  x = \sqrt{\frac{1}{7} }

Then slope would accordingly be

Y'=\frac{7}{\sqrt{1-49/49} }

= ∞

For, x = \sqrt{\frac{1}{7} }, Y = sin^{-1}(7/7)= \pi/2

Equation of tangent line, in the point slope form, would be Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})

4 0
3 years ago
How many times can you round 72,586
Juli2301 [7.4K]
6 rounds up (1 time). 8 rounds up (2 times). 5 rounds up(3 times). 2 does not round up. 7 rounds up (4 times)
you can round up 4 times.
6 0
3 years ago
Read 2 more answers
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
melisa1 [442]

answer:

y = 114°    and   x = 120°

step-by-step explanation:

part A:

  • one inner angle: 51°
  • second inner angle: (180°-87°) = 93°
  • third inner angle: (180°-30°) = 150°
  • fourth, beside y angle: 360° - 150° - 93° - 51° = 66°
  • then y = 180°  - 66°  = 114°

part B:

  • there are 6 sides, so inner angle: (6-2)*180 = 720°
  • 160° + 123° + 107° + 90° + x + x = 720°
  • 2x + 480° = 720°
  • 2x = 720° = 480°
  • 2x = 240°
  • x = 120°
6 0
3 years ago
Read 2 more answers
Find the equation of the line shown.
yanalaym [24]

Answer:

The equation of the line is: y=2x + 3

4 0
2 years ago
A pair of shoes cost $120 but they are 25% Off;
Sever21 [200]

Answer:

Discount = $30, Final price = $90

Step-by-step explanation:

25% is one quarter. 120/4=30

One quarter of 120 is 30, so - 30 would give discounted price of $90.

Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.

Hope this helped!

3 0
4 years ago
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