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
aliya0001 [1]
3 years ago
5

Sociologists have found that information spreads among a population at an exponential rate. Suppose that the function y=525 (1 -

e^-0.038t) models the number of people in a town of 525 people who have heard news within t hours of its distribution.
Use your graphing calculator to graph the function y=525 (1 - e^-0.038t) and determine when 90% of the people will have heard about the grocery store opening.

a. 32 h
b. 61 h
c. 54 h
d. 76 h

Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

b.

t=61hour

Step-by-step explanation:

We are given

Sociologists have found that information spreads among a population at an exponential rate

y=525(1-e^{-0.038t})

Since,

initial population is 525

so, 90% of population is

y=\frac{90}{100}\times 525

y=472.5

now, we can draw graph of both equations

and then we can find intersection point

so, we get time as

t=61hour


You might be interested in
Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power i
RideAnS [48]

Question:

Use the expression to complete the statements.

(0.5)^{10\\

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

(0.5)^{10\\ = (\frac{1}{2})^{10} -- another way to write

Step-by-step explanation:

Given

(0.5)^{10\\

Required

Fill ion the gaps

(0.5)^{10\\ is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write (0.5)^{10\\

Express 0.5 as a fraction

(\frac{5}{10})^{10}

Simplify the fraction

(\frac{5/5}{10/5})^{10}

(\frac{1}{2})^{10}

Hence:

(0.5)^{10\\ = (\frac{1}{2})^{10}

3 0
3 years ago
Read 2 more answers
20 POINTS !! IF YOU ANSWER THE QUESTIONS !
tatuchka [14]
12 the answer is 12 I know it
6 0
3 years ago
Kim has a living room that measures 12 feet by 12 feet. She wants to buy the largest circular area rug that she can find for the
galina1969 [7]

Answer: 10 foot radius

Step-by-step explanation:

8 0
3 years ago
Simplify.
Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0
1 year ago
Read 2 more answers
Box A is 12 inches by 18 inches by 24 inches. Box B is 12 inches by 12 inches by 30 inches. In cubic inches, how much greater is
Burka [1]

Answer:

Box A's volume is bigger by 864 cubic inches

Step-by-step explanation:

12 × 18 × 24 = 5184

12 × 12 × 30 = 4320

Then we subtract. 5184 - 4320 = 864

8 0
2 years ago
Read 2 more answers
Other questions:
  • Will give brainliest!
    7·2 answers
  • Which of the following equations have exactly one solution? Choose all answers that apply: A:58x+52=78x−78 B:−78x+52=−52x−78 C:5
    8·2 answers
  • What are two numbers that multiply to 35 and add to negative 12?
    15·1 answer
  • What is the missing term in the geometric sequence?
    7·2 answers
  • Answer this and I’ll make you Brainly!!
    13·2 answers
  • What is the answer to 10s+5-4s=23
    14·2 answers
  • A quality control engineer is testing the battery life of a new smartphone. The company is advertising that the
    8·1 answer
  • - 4(x + 3) = -12 – 4x
    15·1 answer
  • Hello I might seem but what is (r35) + x -89+(r34)
    14·2 answers
  • If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!