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vodomira [7]
4 years ago
9

Tennis player strikes a tennis ball from underneath with her racket. The ball is sent straight up with an initial velocity of 19

m/s. How high above the striking point will the ball travel?
Mathematics
1 answer:
alekssr [168]4 years ago
7 0

Answer:

18.42 m

Step-by-step explanation:

At that point, the ball will be static, with final velocity of 0.

The initial velocity is 19.

The acceleration due to gravity is -9.8 m/s^2.

We now have to use an equation of kinematics shown below:

v_f^2=v_0^2+2as

Where

v_f  is the final velocity

v_0 is the initial velocity

a is -9.8

s is the distance we are looking for

Lets substitute and find the answer:

v_f^2=v_0^2+2as\\0=(19)^2+2(-9.8)s\\-361=-19.6s\\s=18.42

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Explain why 2-81273-05213-8 is an invalid UPC number.
sammy [17]

Answer:

Part 1) Is not a valid code

Part 2) The last digit should be 6 in order to make it a valid code

Step-by-step explanation:

we have

2-81273-05213-8

we know that

The last number is the check digit (8)

<em>Verify the UPC number</em>

step 1

Sum the digits in the odd positions, starting at the left

so

2+1+7+0+2+3=15

step 2

Multiply the answer in step 1 by 3

15(3)=45

step 3

Sum the numbers in the even positions, ignoring the last (12th) digit because that is the check digit that you are verifying

Do not multiply this number by 3.

8+2+3+5+1=19

step 4

Add the results from steps 2 and 3

45+19=64

step 5

Subtract the number in step 4 from the next higher multiple of 10. In this example, the next multiple of 10 after 64 is 70, so subtract 64 from 70:

70-64=6

This number is not equal to the check digit (8)

therefore

Is not a valid code

The last digit should be 6 in order to make it a valid code

8 0
4 years ago
I NEED HELP ON FINDING THIS USING PYTHAGOREAN THEOREM
uranmaximum [27]
X is approximately 62.23 units

Separate the square into two right triangles. Since all 4 sides of the square are congruent (equal to each other), they are all 44 units long. The Pythagorean Theorem is a^2 + b^2 = c^2, where a and b are sides of the triangle and c is the hypotenuse (longest side of the right triangle, in this case would be x).

44^2 + 44^2 = c^2
1936 + 1936 = c^2
3872 = c^2
Take the square root of both sides.
c is about 62.23
c = x, so x is around 62.23 units long

Hope this helps
5 0
4 years ago
13 times an unknown number added 72 equals -23 times the unknown number
uysha [10]

Answer:

X=2

Step-by-step explanation:

Let the unknown number be x

13*x+72=-23*x

13x+72=-23x(collect like terms and add -72 to both sides)

13x+72-72=-23x-72=13x=-23x-72(collect like terms again and add +23x to both sides)

13x+23x=-23x-72+23x=36x=-72

36x=-72(divide both sides by the coefficient of x;36 on both sides)

36x/36=-72/36

X=2.


6 0
4 years ago
Erik is performing a marble experiment in math class. His teacher places an equal number of black, red, and white marbles in a b
olganol [36]

Answer:

1/3

Step-by-step explanation:

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3 years ago
Marisa recorded the number of hours she babysat each day last summer. She plotted the data in the box plot. A number line goes f
il63 [147K]

Answer:

C

Step-by-step explanation:

6 0
4 years ago
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