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IceJOKER [234]
2 years ago
6

The fastest speed a table tennis ball has been hit about 13.07 times as fast as the speed for the fastest swimming. What is the

speed for the table tennis ball?
Mathematics
2 answers:
uysha [10]2 years ago
7 0

Answer:

29.9303 m/s is the speed for the table tennis ball.

Step-by-step explanation:

Fastest speed of the swimmer recorded = F =2.29 m/s

Fastest Speed of the table tennis ball been hit = b

According to question: Speed of a table tennis ball has been hit about 13.07 times as fast as the speed for the fastest swimming.

b=13.07\times f

b=13.07\times 2.29 m/s=29.9303 m/s

29.9303 m/s is the speed for the table tennis ball.

Marrrta [24]2 years ago
3 0

Given there is no speed given for the fastest swimming, the tennis ball is 13.07 times f(Fastest Swimming), or 13.07f.


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Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
Solve by elimination <br> 3x - 2y = 4<br> x+4y=34
Xelga [282]

Answer:

x= 6

y= 7

Step-by-step explanation:

multiply top by 2 then eliminate

4 0
3 years ago
PLEASEEEE ANSWERRR FASTTTT!!!!!!!!!!What is the equation of the line whose graph is shown?
Mamont248 [21]

Answer:

A

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

To find m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line

m = \frac{-1-1}{-1-1} = \frac{-2}{-2} = 1

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8 0
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Answer:

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Step-by-step explanation:

If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is 387 \cdot \sin 4^\circ, which is about 26.996, so the nearest foot is 27 feet.

(brainliest pls)

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2 years ago
Plss do the working ​
djyliett [7]

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

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