The standard normal curve shown below models the population distribution

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = $\frac{Distance}{Speed}$

= $\frac{540}{48}$ = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25 = 9 h

Speed for car would be v(c) = $\frac{Distance}{Time}$

= $\frac{540}{9}$ = 60 mph

For finding when they will meet, we will need relative speed:

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time = $\frac{Distance}{Speed}$

= $\frac{540}{108}$

= 5 hours

6 0

3 years ago

Kilo typed 1,125 words in 15 minutes let w represent the number of words typed each minute If Lolo typed the same number of word

Alborosie

Answer:

She type 75 words in 1 minute.

Step-by-step explanation:

Given:

Lolo typed 1,125 words in 15 minutes.

Let w represent the number of words typed each minute.

Now, to find the number of words she type in 1 minute if Lolo typed the same number of words each minute.

So, we solve it by using cross multiplication method:

As 1125 words is equivalent to 15 minutes.

Thus, w number of words equivalent to 1 minutes.

$\frac{1125}{15} =\frac{w}{1}$

By cross multiplying we get:

⇒ $1125=15w$

Dividing both sides by 15 we get:

⇒ $75=w$

⇒ $w=75.$

Therefore, she type 75 words in 1 minute.

4 0

3 years ago

True / or / False 2a 2b 2c 2d

seropon [69]

The second is true answer.
Good luck.

3 0

3 years ago

Read 2 more answers

Help plz which is right

tankabanditka [31]

Answer:

B

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

If the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week

serg [7]

The population after 20 weeks will be 403.42 $x_{0}$ in which $x_{0}$ is the initial population.

Given that the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week.

We are required to find the number of bacteria present after 10 weeks.

let the number of bacteria present at t is x.

So,

dx/dt∝x

dx/dt=kx

1/x dx=k dt

Now integrate both sides.

$\int\limits {1/x} \, dx$ = $\int\limits{k} \, dt$

log x=kt+log c----------1

Put t=0

log $x_{0}$ =0 +log c ( $x_{0}$ shows the population in beginning)

Cancelling log from both sides.

c= $x_{0}$

So put c= $x_{0}$ in 1

log x=kt+log $x_{0}$

log x=log $e^{kt}$ +log $x_{0}$

log x=log $e^{kt}x_{0}$

x= $e^{kt}x_{0}$

We have been given that the population triples in a week so we have to put the value of x=2 $x_{0}$ and t=1 to get the value of k.

2 $x_{0}$ = $e^{k} x_{0}$

2= $e^{k}$

log 2=k

We have to now put the value of t=20 and k=log 2 ,to get the population after 20 weeks.

x= $e^{20log 2}$ $x_{0}$

x= $e^{0.30*2}$ $x_{0}$

x= $e^{6}x_{0}$

x=403.42 $x_{0}$

Hence the population after 20 weeks will be 403.42 $x_{0}$ in which $x_{0}$ is the initial population.

Learn more about growth rate at brainly.com/question/25849702

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The given question is incomplete as the question incudes the following:

Calculate the population after 20 weeks.

5 0

2 years ago