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3 years ago

Find the number of meters each runner ran in one second 200 meters, 19.30 seconds

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

I think this is the answer as what i understood the question
200/19.30= 10.36 meters

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The number of goals a hockey team scores over the first 7 games of the season is shown Below

lyudmila [28]

Answer:

The mean standard deviation is 10/5

Step-by-step explanation:

6 0

3 years ago

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

2 years ago

Jacob and Ashley run an animal shelter that houses only cats and dogs. they have 37 adult animals 21 cats and 16 dogs. A group o

Bond [772]

The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
The most likely number of dogs = 16/37 x 8 = 3.46 ≈ 3 dogs

The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156

3 0

2 years ago

4n - 9 = -9 how do u solve?

Ede4ka [16]

Add 9 to both sides to get 4n=0 so n=0

8 0

3 years ago

Read 2 more answers

The points (a,5) and (9,b) are on the circle x^2+ y^2= 125.

Aneli [31]

Answer:

a = 10

b = 6.633

Step-by-step explanation:

x²+ y²= 125.

In this equation, the value of x and y represent the coordinates of x and y respectively of point on which the circle passes.

x²+ y²= 125

a² + 5² = 125

a² + 25 = 125

a² = 125-25

a² = 100

a = √100 = 10

(9,b)

x²+ y²= 125

9² + b² = 125

b² 125 - 81

b² = 44

b = √44 = 6.633

5 0

2 years ago