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umka2103 [35]
3 years ago
14

Find the number of meters each record holder ran in one second of each event. Round to the nearest tenth.

Mathematics
1 answer:
eimsori [14]3 years ago
3 0
<span>To find the answers to each you have to divide the total distance by the total time to get the answer in meters/sec, which would be distance run per sec.
A. 200m/19.30sec = 10.36 meters per second
B. 400m/43.18sec = 9.26 meters per second
C. 100m/9.69sec = 10.32 meters per second</span>
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Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times
jolli1 [7]

Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

5 0
2 years ago
Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1
Alexus [3.1K]

The sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

For given question,

We have been given a series \sum_{n=1}^{\infty}~(sin(1))^n

\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n

We need to find the sum of given convergent series.

Given series is a geometric series with ratio r = sin(1)

The first term of the given geometric series is a_1=sin(1)

So, the sum is,

= \frac{a_1}{1-r}

= sin(1) / [1 - sin(1)]

This means, the series converges to sin(1) / [1 - sin(1)]

\sum_{n=1}^{\infty}~(sin(1))^n

= \frac{sin(1)}{1-sin(1)}

= \frac{0.8415}{1-0.8415}

= \frac{0.8415}{0.1585}

= 5.31

Therefore, the sum of the convergent series \sum_{n=1}^{\infty}~(sin(1))^n is 5.31

Learn more about the convergent series here:

brainly.com/question/15415793

#SPJ4

7 0
1 year ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B4%29%5E2%5C%5C" id="TexFormula1" title="f(x)=(x+4)^2\\" alt="f(x)=(x+4)^2\\"
Yuri [45]

Answer:

x²+8x+16

Step-by-step explanation:

f(x) = (x+4)²

= (x+4)(x+4)

= x² + 4x + 4x + 16

= x² + 8x + 16

3 0
2 years ago
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
bulgar [2K]

Answer:

A

Step-by-step explanation:

let the number be x, then

the difference of x and 6 is x - 6 and

5 times the sum of x and 2 is 5(x + 2)

Equate both expressions

5(x + 2) = x - 6 ← distribute left side

5x + 10 = x - 6 ( subtract x from both sides )

4x + 10 = - 6 ( subtract 10 from both sides )

4x = - 16 ( divide both sides by 4 )

x = - 4 → A

4 0
3 years ago
Help,anyone can help me do quetion​
Anni [7]

Answer:

B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle

5 0
3 years ago
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