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vichka [17]
3 years ago
14

All of the scatter plots below display the data correctly, but which one of them displays the data best? By convention, a good s

catter plot uses a reasonable scale on both axes and puts the explanatory variable on the xxx-axis.
Mathematics
1 answer:
Sav [38]3 years ago
6 0

Answer

the third one

Step-by-step explanation:

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Which term completes the product so that it is the difference of squares?
Effectus [21]

Answer:

3

Step-by-step explanation:

For Edge Users its

C

5 0
3 years ago
A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
Allushta [10]

Answer:

  • 4968.6 m from where it was fired
  • 221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

  (x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

  t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

  t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

  t ≈ 31.939 seconds

Then the horizontal travel is

  x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

__

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

  ≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0
2 years ago
Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.
Butoxors [25]

Answer:

the answers are all bold below

Step-by-step explanation:

Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.

Triangle A B C is an equilateral triangle. The length of side A B is c, the length of B C is a, and the length of A C is b.

Trigonometric area formula: Area = One-half a b sine (C)

Which expressions represent the area of triangle ABC? Select three options.

a c sine (60 degrees)

One-half b c sine (60 degrees)

One-half a squared sine (60 degrees)

StartFraction a squared b sine (60 degrees) Over 2 EndFraction

StartFraction a b sine (60 degrees) Over 2 EndFraction

6 0
3 years ago
Read 2 more answers
a father is now 38 years older than his son. Ten years ago he was twice as old as his son. let x represent the age of the son no
Helga [31]

The present age of father is 86 years old and present age of son is 48 years old

<em><u>Solution:</u></em>

Given that, a father is now 38 years older than his son

Ten years ago he was twice as old as his son

Let "x" be the age of son now

Therefore, from given,

Father age now = 38 + age of son now

Father age now = 38 + x

<em><u>Ten years ago he was twice as old as his son</u></em>

Age of son ten years ago = age of son now - 10

Age of son ten years ago = x - 10

Age of father ten years ago = 38 + x - 10

Then we get,

Age of father ten years ago = twice the age of son ten years ago

38 + x - 10 = 2(x - 10)

28 + x = 2x - 20

2x - x = 28 + 20

x = 48

Thus son age now is 48 years old

Father age now = x + 38 = 48 + 38 = 86

Thus present age of father is 86 years old and present age of son is 48 years old

7 0
3 years ago
Check whether p=-2 is a solution of the equation 7p-5=20 or not ...​
Lana71 [14]

Answer:

not a solution

Step-by-step explanation:

Substitute p = - 2 into the left side of the equation and if equal to the right side then it is a solution.

7(- 2) - 5 = - 14 - 5 = - 19 ≠ 20

Then p = - 2 is not a solution of the equation

8 0
3 years ago
Read 2 more answers
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