helppp please

A population of bacteria is growing according to the equation p(t)=1000e^0.21t
Use a graphing calculator to estimate when the population will exceed 2627.

t =------------

Answers

Answer 1

The population will exceed 2627 after approximately 6.08 units of time.

What is logarithm?

A lοgarithm is a mathematical functiοn that tells us what expοnent is needed tο prοduce a given number, when that number is expressed as a pοwer οf a fixed base. In οther wοrds, lοgarithms tell us hοw many times we need tο multiply the base by itself tο get the desired number.

To solve for t when the population exceeds 2627, we can set the equation equal to 2627 and solve for t:

p(t) = 1000\(e^{(0.21t)}\) = 2627

Dividing both sides by 1000, we get:

\(e^{(0.21t)}\) = 2.627

Taking the natural logarithm of both sides, we get:

0.21t = ln(2.627)

Solving for t, we get: t = ln(2.627)/0.21 ≈ 6.08

Therefore, the population will exceed 2627 after approximately 6.08 units of time.

Learn more about exponential growth on:

brainly.com/question/12490064

#SPJ1


Related Questions

Please help! In the figure below, what is the length of EG

Please help! In the figure below, what is the length of EG

Answers

Answer:

Step-by-step explanation:

The triangles are similar because they have two sides and the angle between them (EFG) respectively equals, and it’s evident the factor between the two triangles is 2. So EG=2CB=2*8=16

Answer:

the value of EG is 20.

Step-by-step explanation:

3×4 = 12, AB and EF is similar but the value of AB is multiplied by 4 to become 12 for EF.

similarly, 4×4 = 16, BC and FG is similar but the value of BC is multiplied by 4 to become 16 for FG..

In this way, AC and EG are also similar so 5×4 = 20.

All the values are multiplied by 4 ...

Which point on the graph tells you the amount of sugar you'll
use if you don't make any pies?
Total Cups of Sugar

Answers

The point on the graph that tells you the amount of sugar you'll use if you don't make any pies is (0, 0).

What is a proportional relationship?

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

y represent the amount of sugar​.x represent the number of pies.k is the constant of proportionality.

In order to have a proportional relationship, the variables representing the amount of sugar and time must have the same constant of proportionality:

Constant of proportionality, k = y/x

Constant of proportionality, k = 4/3

Constant of proportionality, k = 12.

Therefore, the required equation is given by:

y = kx

y = 4x/3

When x = 0, the value of y is given by:

y = 4(0)/3

y = 0 pies.

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Which point on the graph tells you the amount of sugar you'lluse if you don't make any pies?Total Cups

how many decimal points are in 131.6​

Answers

theres one decimal point

Answer:

It just has 1 decimal point

Step-by-step explanation:

If it was a number like 14.454, then that would have 3 decimal points

Hope this helps!

WILL MARK BRAINLIEST HELP NOWWW

WILL MARK BRAINLIEST HELP NOWWW

Answers

The amount of cabling that you need in feet is 15 ft.

The amount of cabling you have in feet is 18. 3 feet.

You therefore have enough cabling to run the network line.

How to find the cabling ?

The total amount of cabling that you will need in feet is :

= 5 ft + 10 ft

= 15 ft

You have 220 inches in cabling on hand so this figure in feet is :

= 220 / 12 inch per feet

= 18. 3 ft

This is more than the required 15 ft so there is enough cabling.

Find out more on cabling at https://brainly.com/question/28446590


#SPJ1

The table represents the function f(x). x 0 1 4 9 16 f(x) -4 -3 -2 -1 0 If g(x) =4/x-8 , which statement is true? A. The y-intercept of g(x) is less than the y-intercept of f(x). B. The y-intercept of g(x) is equal to the y-intercept of f(x). C. The x-intercept of g(x) is equal to the x-intercept of f(x). D. The x-intercept of g(x) is greater than the x-intercept of f(x).

Answers

The y-intercept of g(x) is less than the y-intercept of f(x). The y-intercept of g(x) is -1/2, which is greater than the y-intercept of f(x), which is -4. So, the correct answer is A. The y-intercept of g(x) is less than the y-intercept of f(x).

To determine the y-intercept and x-intercept of the function g(x) = 4/(x - 8), we need to find the values of x for which g(x) equals zero and the value of g(x) when x equals zero.

First, let's find the x-intercept of g(x), which is the value of x for which g(x) equals zero. Setting g(x) = 0 and solving for x, we have:

0 = 4/(x - 8)

This equation has no solutions because a fraction can only be zero if its numerator is zero, but in this case, the numerator (4) is always non-zero. Therefore, g(x) does not have an x-intercept.

Next, let's find the y-intercept of g(x), which is the value of g(x) when x equals zero:

g(0) = 4/(0 - 8)

g(0) = 4/(-8)

g(0) = -1/2

Therefore, the y-intercept of g(x) is -1/2.

Now, let's compare the y-intercepts of g(x) and f(x). From the given table, we see that the y-intercept of f(x) is -4.

Since -4 is not equal to -1/2, we can conclude that statement B, "The y-intercept of g(x) is equal to the y-intercept of f(x)," is false.

To summarize, the correct answer is: A. The y-intercept of g(x) is less than the y-intercept of f(x).

For more such questions on y-intercept

https://brainly.com/question/25722412

#SPJ8

The data in the tables below were collected from first year students at a community college. The variable is “number of credit cards.” Two of the probabilities are missing.

Number of credit cards 0 1 2 3 4 5
Number of students 122 40 28 2 2 6
Based on this data, we can estimate the probability that a randomly selected student has X number of credit cards using relative frequencies to create a probability distribution. Note: There are 200 students.

Number of credit cards 0 1 2 3 4 5
Probability 0.14 0.01 0.01 0.03
Use this information to answer the first two questions below.
What is P(0)? (Hint: Find the relative frequency for this outcome. There are 200 students in the data set.)

Answers

The probability that number of credit cards is 0 is 0.61

What is Probability ?

Probability is the likeliness of an event to happen ,

It has a range from 0 to 1 , where 0 indicates uncertainty while 1 indicates certainty

The data for the college students is given and it has been asked to determine P(0)

The total students are 200

and the students that have no credit card from the data is 122

Therefore

P(0) = 122/200 = 0.61

Therefore the probability that number of credit cards is 0 is 0.61

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)

Answers

\(f^(-1)(2) = 6\), which is consistent with our earlier result.

What is inverse function?

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

Learn more about function here:

https://brainly.com/question/2541698

#SPJ1

PLEASE HELP ASAP THIS IS FOR ALGEBRA PLEASE EXPLAIN AS WELL
5. What is the next term of the sequence -3, 6, -12, 24,…?

Answers

Answer:

-48

Step-by-step explanation:

we can see each number is getting doubled but flipped from negative and positive and vise versa. aka getting multiple by negative 2

we can also double check our work by multiplying each number in the sequence we have by -2 and make sure it follows the sequence.

Urgent help,

Translate the following words into equations step 2 solve the equation.

8 more than a number is equal to 15

The product of 7 and a number is 35

Answers

Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

Would this be right? If not can someone please explain why if I did something incorrect?

Would this be right? If not can someone please explain why if I did something incorrect?

Answers

Answer:

Yes, this would be right.

The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1

start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.



A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?

Answers

If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

for more such questions on amount

https://brainly.com/question/843074

#SPJ8

How long would it take for Pedro to finish reading a 1210- page book with a number of pages left after t minutes is given by a function f(t) = - 4t + 140. How long will it take for Pedro to finish reading the remaining pages? What is the domain of the function?

Answers

If they each read the same book, and the book has 225 pages, how many more minutes than Xanthia would it take for Molly to finish reading the book?

If a covert promoter charges $65 per ticket for a concert. The promoter’s cost will be $5500 plus $4 per ticket. Write an equation for the profit function

Answers

the equation will be 61n - 5500

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

If a covert promoter charges $65 per ticket for a concert. The promoter’s cost will be $5500 plus $4 per ticket.

Here it is: r(n) - c(n)

which goes to

65n - (4n + 5500)

=61n - 5500

Hence, the equation will be 61n - 5500

Learn more about equations, by the following link

brainly.com/question/2972832

#SPJ1

expand and simplify (x+5)(x-1)

Answers

The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

What is the expanded form of the expression?

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

Learn more about distributive property here: https://brainly.com/question/13130806

#SPJ1

56) A tire retailer plans to sell
$100,000 worth of tires in
January. Planned reductions are
$15,000; planned inventory for
January Ist is $300,000 and for
January 31st is $350,000. As of
January 8th, the retailer has
ordered $15,000 for January
delivery. What is the open-to-
buy for the rest of the month?

Answers

Answer:

/

Step-by-step explanation:

− 9 ≤ − 3 x + 6         or     −9≤−3x+6or    

Answers

Answer:

- 9 ≤ − 3 x + 6

Step-by-step explanation:

- 9 ≤ − 3 x + 6

-6 from both sides

-15 ≤ -3x

divide by -3 from both sides

5 ≤ x

4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.

Answers

Answer:759

Step-by-step explanation:

3/8 + 4/5 please help me​

Answers

\(\cfrac{3}{8}+\cfrac{4}{5}\implies \cfrac{(5)3~~ + ~~(8)4}{\underset{\textit{using this LCD}}{40}}\implies \cfrac{15+32}{40}\implies \cfrac{47}{40}\implies 1\frac{7}{40}\)

Answer:

47/40

Step-by-step explanation:

\((\frac{3}{8}\cdot\frac{5}{5})+(\frac{4}{5}\cdot\frac{8}{8})=\frac{15}{40}+\frac{32}{40}=\frac{47}{40}\)

Given the diagram below, what is mD?

Given the diagram below, what is mD?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. 72

Step-by-step explanation:

There are two ways to solve this problem. First of all, this quadrilateral is a trapezoid because the top two angles are congruent and there is one pair of parallel lines. One way to solve the problem is to remember all trapezoids have a measure of 360. So, mD=360-(108+108+72); this equals 72. Additionally, in a trapezoid, the bottom two angles are always congruent; therefore, angle D must equal 72 degrees.

What is the radius of a circle with a diameter of 15 centimeters?​

Answers

Answer:

radius is 7.5cm

Step-by-step explanation:

Convert diameter to centimeter.

Answer:

radius is 7.5 cm

Step-by-step explanation:

Convert diameter to centimeter

Hope You Your Get You Answer Right

what is the lowest number that must be added to 2000 so that the sum is divisible exactly by 10 12 16 and 18

Answers

We need to find the lowest common multiple of 10, 12, 16, and 18, which is 720.

To find the remainder when 2000 is divided by 720, we can use long division or modular arithmetic:

$$
\begin{array}{c|cc}
720 & 2000 & \\
\hline
& 2\cdot720 & (1440) \\
& 280 & \\
\hline
& 200 &
\end{array}
$$

So the remainder when 2000 is divided by 720 is 200.

To make the sum divisible by 720, we need to add the difference between 720 and the remainder (520):

$$
2000 + 520 = 2520
$$

Therefore, the lowest number that must be added to 2000 so that the sum is divisible exactly by 10, 12, 16, and 18 is 520.

6TH GRADE MATH Find the length of x!!! Btw if the numbers are long just round to the nearest hundredth

6TH GRADE MATH Find the length of x!!! Btw if the numbers are long just round to the nearest hundredth

Answers

Answer:

11.67

Step-by-step explanation:

Assume the triangles are similar.

10/6 = x/7

6x = 70

x = 70/6

x = 11.67

A cold front moves through the area quickly. In the morning, the temperature is 82
degrees F and after 6 hours the temperature has dropped to 58 degrees F. If the
temperature dropped at a steady rate, how much did it drop each hour?

Answers

The temperature dropped by 4 degrees Fahrenheit per hour during the 6-hour period.

What is the drop in temperature?

The temperature drop each hour is calculated as follows;

temperature drop per hour = (change in temperature) / (time elapsed)

change in temperature = final temperature - initial temperature

change in temperature = 58 degrees F - 82 degrees F

change in temperature = -24 degrees F

The time elapsed =  6 hours

The change in temperature or drop in temperature is calculated as;

temperature drop per hour = (-24 degrees F) / (6 hours)

temperature drop per hour = -4 degrees F/hour

Learn more about change in temperature here: https://brainly.com/question/25677592

#SPJ1

An electronics store advertised a television as $17 a day for 30 days rather than the full price of $510. Why did the store choose to advertise the television this way?
A.Because it looks like a deal
B. Because they accept partial payments
C.To help customers pay for it
D.To show the daily consumption cost​

Answers

C. To help customers pay for it

Answer:

A.Because it looks like a deal

Step-by-step explanation:

17$ a day for 30 days is just multiplication which ends up with 510$ which is the full price they only put the ad up to make it seem like a deal. Understand well il break it down for you take the seventeen and 30. multiply the 7 and the 30 then 10 and the 30. add both of the products together to get 510 or 510$.

Selma wants to know if seventh-grade students prefer to do their math homework in silence or with background music. She polled the 21 students in her music class. Seven students preferred to do their math homework in silence, and fourteen students preferred to do their math homework with background music. What type of sampling is demonstrated in the situation above?
A. random sampling
B. census
C. convenience sampling
D. Systematic Sampling

Answers

Answer:

D.

Step-by-step explanation:

She used systematic sampling by asking the class to vote by using a type voting system this will help by choosing the highest number as the vote she will go through with.

Find x of angle. 74° 74° 3x + 23 9x - 73

Answers

Answer: 169

Step-by-step explanation:  3x + 23 9x - 73= 242-73= 169

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x , y) point

\(y = - {x}^{2} + 8x - 23\)

Answers

The vertex to y=x^2+8x-23 is (4,-7)
(4,-7)

Do it by making factors of x by using middle term splitting method. You can learn about this method by watching you tube video . Then find out the y.

solve 7(x-3)+x+22=17 for x.

Answers

Answer:

x=-13/4

Step-by-step explanation:

hope this helps :)

Answer:

x = 1

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x-3)+x+22-(17)=0  

Step by step solution :

STEP  1:

Pulling out like terms

1.1     Pull out like factors :

  2x + 2  =   2 • (x + 1)  

Equation at the end of step  1:

STEP  2:

Equations which are never true:

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x+1 = 0  

Subtract  1  from both sides of the equation :  

                     x = 1

One Solution Was Made :

x = 1

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN!

help i hill give brainliest

help i hill give brainliest

Answers

Answer:

530.66 cm²

Step-by-step explanation:

take half the diameter of 26 and that gives you the radius of 13

A =π· r²

A = 3.14 x 169

A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)

Answers

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

Volume formulas

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Relation between volumes

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

Other Questions
Find-Characteristics-Uses/ApplicationSeparately-Excited DC Motor Permanent Magnet DC Motor Series DC Motor Shunt DC Motor Cumulative Compound DC Motor Differential Compound DC Motor How is Clayton Fountain from the book Hothouse: Life Inside Leavenworth Prison portrayed to have social learning theory? Are there any other theories that could work for him? Under Benefits of Project Management, what are five elements that make up the "Present View" of project management? 1/2 x 1/5 ............. llenar los espacios en Blanco de modo que ambas fracciones sean equivalentes [tex] \frac{5}{9} = \frac{?}{36} [/tex] On what date did the Japanese attack the U.S. naval base at Pearl Harbor?a.June 5, 1942b.October 2, 1940c.December 7, 1941d.September 1, 1939 in the vijayanagara sacred center, what was not included in the architectural complex? In the simplest definition, proteins are a gene product, so when a gene mutates, it directly affects protein synthesis. Think about what cell processes and genes are absolutely necessary for cell/organismal survival and explain why the genes responsible for forming meiotic spindle fibers may be more among different species than genes for body hair. Which of the following is the main advantage of customizable software over off-the-shelf software? problem specificity. If the magnitude of an equilibrium constant is small, we know that the reaction favors Select all of the correct answers: a) reaction rates that are slow. b) formation of products c) the reverse reaction to form reactants. d) a state where concentrations of reactants and products are approximately equal. e) reaction rates that are fast. A part has been tested to have Sut = 530 MPa, f = 0.9, and a fully corrected Se = 210 MPa. The design requirements call for the part to be loaded at three different fully-reversed loads and cycled at each one for a set number of cycles. First, it will be loaded at 350 MPa for 5,000 cycles. Then, it will be loaded at 260 MPa for 50,000 cycles. Finally, it will be loaded at 225 MPa until it fails. How many cycles do we expect the part to last at the final loading? Use Miner's method. :g What was one economic effect of the creation of the knights of labor and the american federation of labor? Ill give Brainly! Write a corresponding real-world problem for each equation. 1. 0.55x + 4.50 = 0.65x + 3.502. 8x + 80 = 4x + 120 Please help!!!!! 10 Points!! (i only have 23) 6.Suppose that TV Industries, Incorporated currently has the balance sheet shown as follows, and that sales for the year just ended were $5 million. The firm also has a profit margin of 15 percent, a retention ratio of 25 percent, and expects sales of $5.5 million next year. If all assets and current liabilities are expected to increase with sales, what amount of additional funds will the company need from external sources to fund the expected growth? Assets Liabilities and Equity Current Assets $ 1,000,000 Current Liabilities $ 1,000,000 Fixed Assets 2,000,000 Long-term Debt 1,000,000 Equity 1,000,000 Total Assets $ 3,000,000 Total Liabilities and Equity $ 3,000,000 select all that apply suppose the federal government pursues an expansionary fiscal policy. by the time the fiscal policy's effects actually reach the economy, it has already corrected itself. what might have caused this? select all that apply. Your ____ determine(s) the unique approach you take to working with and responding to your job requirements, surroundings, and associates. Rather than containing a set of IF-THEN rules, more sophisticated ESs use _______________ , which are designed to mimic the way a human brain learns.a. neural networksb. what-if analysisc. communication networksd. sensitivity analysis What does symphony mean Installed mechanical safeguards are required around all these machine areas EXCEPT: - Trajectory zone - Point of operation - Energy Transmission Components