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3 years ago

Question 4 (3 points) It take Andre 4 minutes to swim 5 laps.How many minutes per lap is that?

Mathematics

2 answers:

JulsSmile [24]3 years ago

4 0

Answer:

0.8 minutes

Step-by-step explanation:

Lilit [14]3 years ago

3 0

Answer:

Andre would take approximately 1.25 minutes

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I need help answering

I am Lyosha [343]

8(1/4) - 1 + 0.5(10)

8/4 - 1 + 5

2 - 1 + 5

1 + 5 = 6

4 0

4 years ago

Read 2 more answers

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

3 years ago

On a certain hot summer day, 481 people used the public swimming pool. The daily prices are 1.25 for children and 2.25 for adult

spayn [35]

Answer:the number of children that swam in the public pool that day is 222

the number of adult that swam in the public pool that day is 259

Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

1.25x + 2.25y = 860.25 - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 860.25

601.25 - 1.25y + 2.25y = 860.25

- 1.25y + 2.25y = 860.25 - 601.25

y = 259

Substituting y = 259 into x = 481 - y, it becomes

x = 481 - 259

x = 222

8 0

4 years ago

HELPPPP PLEASEEEEE !!! URGENTT

Reil [10]

Answer:

30 tackles between the next 2 games

Step-by-step explanation:

You can figure out how many tackles he needs for the total season by multiplying his needed average (11) by the total number of games (8+2). this gives a total of 110 tackles all season. When you add up his current tackles you will get 80 so you can tell he needs 30 more tackles to reach the desired number.

HOPE THIS HELPS!!!

6 0

2 years ago

Janel went shopping and bought 2 shirts and a pair of pants for $55.78 before tax. How much was the total after 6% sales tax?

tatiyna

Answer:

$59.13

Step-by-step explanation:

6% of 55.78= 3.35

3.35+55.78=59.13

4 0

3 years ago