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8_murik_8 [283]
3 years ago
14

I need help quick!!!!

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer:

8 m/s

Step-by-step explanation:

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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. ​Hint: x=0.84
Lubov Fominskaja [6]

Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Researching this problem on the internet, we have that:

  • The mean is of 0.84.
  • The standard deviation is of 0.07.

Then 95% of the candies have weights between 0.7 and 0.98 gram, as:

  • 0.7 = 0.84 - 2 x 0.07.
  • 0.98 = 0.84 + 2 x 0.07.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

7 0
2 years ago
Please will anyone help me out with this math problem? I will give them a crown.
Aneli [31]

Answer:

a. 450 b.  10078.9097

Step-by-step explanation:

a. go with the formula W=FD

F= force

W= work done

D= distance

b. go with the formula F=mgcos(x)

M= mass

G= gravity constant (9.8)

then get to the normal formula of W=FD after getting the Force

4 0
3 years ago
Combine like terms.<br> 34y + 23y =
Thepotemich [5.8K]

Answer:

57y

Step-by-step explanation:

23y+34y = 57y

7 0
3 years ago
Juan is twice as old as his brother, Peter. Juan is 12 years old. Which
nordsb [41]

Answer:C

Step-by-step explanation:

6 0
3 years ago
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