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Vera_Pavlovna [14]
3 years ago
8

Find the distance between the points (-4, 6) and (-1,5).

Mathematics
1 answer:
Leto [7]3 years ago
3 0

the square root of 10 is the correct answer

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A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before
sveta [45]

Answer: 1.106 s

Step-by-step explanation:

This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:

y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}

Where:

y=0 m is the blueberry pie final height (when it hits the ground)

y_{o}=6 m is the blueberry pie initial height

V_{o}=60 m/s is the blueberry pie initial velocity

\theta=0 \° is the angle, assuming the pie was shot horizontally

t is the time

g=9.8 m/s^{2} is the acceleration due gravity

Rewriting the equation:

0=y_{o}-\frac{1}{2}gt^{2}

Isolating t:

t=\sqrt{\frac{2y_{o}}{g}}

t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}

Finally:

t=1.106 s

5 0
3 years ago
X x is the first five consonants of english alphabet
satela [25.4K]
Consonants are letters that are not vowels a e I o u sometimes y
The first 5 consonants are

a.B.C.D.e.F.G

B
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4 0
3 years ago
An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously
Sholpan [36]

Answer:

[300.202 , 329.798]

Step-by-step explanation:

The 95% confidence interval is given by the interval

\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]

where

\large \bar x <em>is the sample mean  </em>

<em>s is the sample standard deviation  </em>

<em>n is the sample size (n = 7)  </em>

\large t^* is the 0.05 (5%) upper critical value for the Student's t-distribution with 6 degrees of freedom (sample size -1), which is <em>an approximation to the Normal distribution for small samples (n<30).</em>

Either by using a table or the computer, we find  

\large t^*= 2.447

and our 95% confidence interval is

\large [315-2.447*\frac{16}{\sqrt{7}}, 315+2.447*\frac{16}{\sqrt{7}}]=\boxed{[300.202,329.798]}

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3 years ago
Math problem...? Help!
r-ruslan [8.4K]
The answer is either 8, 4, or 2  
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3 years ago
1. Knowing that the area of a rectangle and a parallelogram is (base * height), use the given side length and
astraxan [27]

Answer:

51.84sq

Step-by-step explanation:

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