1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Savatey [412]
3 years ago
11

Karl ran 4 blocks in 15 minutes. He then ran 1 more block. What is a reasonable value for the amount of time it took him to run

all 5 blocks?
A. 15 minutes
B. 12 minutes
C. 30 minutes
D. 19 minutes
Mathematics
2 answers:
Annette [7]3 years ago
6 0
It should be D.19 minutes
irakobra [83]3 years ago
3 0
The reasonable amount of time it would take for him to run all five blocks is 19 minutes
You might be interested in
Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).
Snezhnost [94]

Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

Y= 3 x 1

X= 5

8 0
2 years ago
and Jerry is trying to earn $209 for some new video games if he changes $47 to mow a lawn how many Lawns will he need to know to
Andru [333]
209÷47= 4.45, but you cant mos part of a lawn, so he needs to mow 5 lawns
7 0
3 years ago
I need help please!☺️
ehidna [41]
The answer is 10 hope it helps SORRY IF I’M WRONG
4 0
3 years ago
Express the ratio in simplest form 85 out of 102
lora16 [44]
1.2 is the answer to your question.
4 0
2 years ago
Read 2 more answers
A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 4 hours, there are 9000 bacteria
Kaylis [27]

Answer:

A) The expression for the number of bacteria is P(t) = 400e^{0.7783t}.

B) After 5 hours there will be 19593 bacteria.

C) After 5.55 hours the population of bacteria will reach 30000.

Step-by-step explanation:

A) Here we have a problem with differential equations. Recall that we can interpret the rate of change of a magnitude as its derivative. So, as the rate change proportionally to the size of the population, we have

P' = kP

where P stands for the population of bacteria.

Writing P' as \frac{dP}{dt}, we get

\frac{dP}{dt} = kP.

Notice that this is a separable equation, so

\frac{dP}{P} = kdt.

Then, integrating in both sides of the equality:

\int\frac{dP}{P} = \int kdt.

We have,

\ln P = kt+C.

Now, taking exponential

P(t) = Ce^{kt}.

The next step is to find the value for the constant C. We do this using the initial condition P(0)=400. Recall that this is the initial population of bacteria. So,

400 = P(0) = Ce^{k0}=C.

Hence, the expression becomes

P(t) = 400e^{kt}.

Now, we find the value for k. We are going to use that P(4)=9000. Notice that

9000 = 400e^{k4}.

Then,

\frac{90}{4} = e^{4k}.

Taking logarithm

\ln\frac{90}{4} = 4k, so \frac{1}{4}\ln\frac{90}{4} = k.

So, k=0.7783788273, and approximating to the fourth decimal place we can take k=0.7783. Hence,

P(t) = 400e^{0.7783t}.

B) To find the number of bacteria after 5 hours, we only need to evaluate the expression we have obtained in the previous exercise:

P(5) =400e^{0.7783*5} = 19593.723 \approx 19593.  

C) In this case we want to do the reverse operation: we want to find the value of t such that

30000 = 400e^{0.7783t}.

This expression is equivalent to

75 = e^{0.7783t}.

Now, taking logarithm we have

\ln 75 = 0.7783t.

Finally,

t = \frac{\ln 75}{0.7783} \approx 5.55.

So, after 5.55 hours the population of bacteria will reach 30000.

6 0
3 years ago
Other questions:
  • Solve for x 3/2(x-6)=-3
    11·1 answer
  • How many inches is 21 cm
    11·1 answer
  • Order the following units of a capacity families to greatest gallon paint cup quart
    8·1 answer
  • Given the expression 14 ÷ 7 + 36 ÷ 4, explain how you would simply this expression. Step 1) Step 2) I'm not in a hurry, I just n
    5·1 answer
  • The table shows the relationship between Megan's earnings and the hours that she worked.
    15·1 answer
  • Write down the percentage multiplier used to decrease an amount by 45%
    8·1 answer
  • Can you help me with all these I want to know if they're right!!!!!!!!!!!!!!!!?????????????????
    6·1 answer
  • 2) Evaluate (-9.2) + (7.5) = O -16.7 O 16.7 0 -1.7 1.7​
    11·1 answer
  • A rectangular garden has a length of x + 8 units and a width of x – 4 units. Find the AREA.
    8·1 answer
  • Express: 50 minutes 18 seconds as percent of 2 hours.​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!