A certain bacteria multiply exponentially at a rate of 8% per day. If 2 bacteria exist initially, how many
will be present after 25 days?

Answers

Answer 1

Answer:

After 25 days will be present about 13.70 ≅ 13 bacteria

Step-by-step explanation:

The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where

a is the initial valuer is the rate in decimal

∵ A certain bacteria multiply exponentially at a rate of 8% per day

→ Assume that y is the number of bacteria, x is the number of days

r = 8% = [tex]\frac{8}{100}[/tex] = 0.08

∵ 2 bacteria exist initially

a = 2

→ Substitute them in the form of the equation above

∵ y = 2 [tex](1+0.08)^{x}[/tex]

y = 2 [tex](1.08)^{x}[/tex]

x = 25

→ Substitute x in the equation by 25

∴ y = 2 [tex](1.08)^{25}[/tex]

y = 13.69695

After 25 days will be present about 13.70 bacteria

Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.


Related Questions

help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29

Answers

Answer:

       

Step-by-step explanation:

0.5 (x4 - 3) + 12
WILL MARK BRAINLEST PLEASEEE HURRYYYYY!!!!!!!!

Answers

0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

What is the measure of 1 Explain

Answers

Answer:

what measure one

Step-by-step explanation:

What are u talking bout

There is no picture or anything

Answer:

I wish I could help.

Step-by-step explanation:

There is no picture or a complex explanation.

if matt's average speed was 8 km/hr how far did he travel in 15 minutes

Answers

Answer:

2km

Step-by-step explanation:

8km/h×15minutes÷60minutes=2km

what is 3/4 + 1/2 and what is 1/3 + 11/48 in simplest form and a mixed number

Answers

Answer:

1) 5/4 or 1 1/4

2) 9/16

Step-by-step explanation:

3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4

1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16

Answer:

3/4+1/2= 1 5/8  and 1/3+11/48 is not a mixed number 9/16

Step-by-step explanation:

A rectangular solar panel has a length of 11 inches shorter than 4 times it’s width if the perimeter of the panel is 218 inches what are the dimensions of the panel

Answers

Rip king von‼️ to send respect mark me brainiest

What is (4-5y) - (2y-16)

Answers

Answer:

4 - 5y - 2y + 16

like terms

20 - 7y

Answer:

4-5y)-(2y-16)=0

Step-by-step explanation:We add all the numbers together, and all the variables

(-5y+4)-(2y-16)=0

We get rid of parentheses

-5y-2y+4+16=0

We add all the numbers together, and all the variables

-7y+20=0

We move all terms containing y to the left, all other terms to the right

-7y=-20

y=-20/-7

y=2+6/7

You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?

Answers

Answer:

400 ft²

Step-by-step explanation:

The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²

Help
Find the missing segment

Answers

Answer:

62

because 14 is twice more than 8

so 24 * 2 = 48

and 48 + 14 = 62

most likely 62

62 because they said it ^ F. |

Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years:
5.4% compounded monthly or 5.5% compounded quarterly?

Answers

5.5% quarterly would give you slightly more.

Can anyone please help with this problem ASAP ?

Answers

Answer:

4 would be $55.00 and 8 would be $75.00

4) 55
8) 75

Hope this helps

How do you solve this: 2x(3-a)=a(2-b) to find b?

Answers

E = mc^2 get it now
Yea yea

Answer:

b=-2(3x-xa-a)/a

Step-by-step explanation:

2x(3-a)=a(2-b)

6x-2xa=2a-ab

b=-2(3x-xa-a)/a

You can simplified to top because im a little lazy, sorry

The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of a label that covers the entire side of the can and that need a 0.8-cm overlap to glue the ends of the label? Round to the nearest tenth.

Answers

Answer:

[tex]180.4~cm^2[/tex]

Step-by-step explanation:

Surface Area

The surface area of a cylinder of height h and radius r is given by:

[tex]A=2\pi rh[/tex]

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

[tex]A=2\pi rh+2\pi r^2[/tex]

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.

Now we calculate the side area of the can:

[tex]A=2\pi (3.25)(8.5)[/tex]

[tex]A=173.6~cm^2[/tex]

We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

[tex]A_o= 0.8*8.5=6.8~cm^2[/tex]

The total area of the label is:

[tex]A=173.6~cm^2+6.8~cm^2=180.4~cm^2[/tex]

The area of the label is [tex]\mathbf{180.4~cm^2}[/tex]

I need help on this one

Answers

4. Find the area of each triangle. The formula is A=1/2(bh) so the area of the first triangle is 6, Bc 3•4 is 12, divided by 2 is 6.

The area of the second triangle is 24, because 6•8 is 48, divided by 2 is 24. And 24 is four times the value of 6, making the area scale factor 4.

Hope this helped!

You have a ribbon that is 7 1/2 inches long you use 1/2 of it on a project how many inches of ribbon are left

Answers

3.75 inches

7.5/2=3.75

A classmate tells you that there are two Fahrenheit temperature that is the same as the Celsius temperature. They tell you it is 50 degrees and -40 degrees. Is your classmate correct or incorrect explain your reasoning.

Answers

Answer:

Step-by-step explanation:

the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.

-40-32 is -72. multiply that by 5/9 and that is -40

50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?

Answers

Answer:

i do not know i will try .

Clara’s school awarded 1900 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an iPad pro. Clara received 5 tickets for good attendance, 4 for making the honor roll, and 8 for tutoring other students.
What is the probability that one of Clara’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)

Answers

Answer:

0.89%

Step-by-step explanation:

Given that :

Total number of raffle tickets = 1900

Total number of Clara's tickets (5 + 4 + 8) = 17

Probability that one of Clara's tickets will be picked :

Probability = (required outcome / Total possible outcomes)

Required outcome = total number of Clara's ticket

Total possible outcomes = total number of raffle tickets

Hence,

P(picking one of Clara's tickets) = 17 / 1900

17 / 1900 = 0.0089473

0.0089473 * 100%

= 0.8947%

= 0.89%

Find the equation of the line.
The line is perpendicular to y = 1/2x +5 and passes through the point (4,7).

The equation of the line is: y =

Answers

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15

How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?

Answers

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

[tex]P(Same) > \frac{2}{3}[/tex]

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]

i.e.

[tex]P(none) = (\frac{364}{365})^n[/tex]

Solving further, we have that:

[tex]P(same) + P(none) = 1[/tex]

[tex]P(same) + (\frac{364}{365})^n = 1[/tex]

[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]

We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].

So, we have:

[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]

Collect Like Terms

[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]

[tex]3^{-1} > (\frac{364}{365})^n[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]

[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]

Apply laws of logarithm

[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]

Multiply through by -1

[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]

Solve for n

[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]

Reorder

[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]

[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]

[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]

[tex]n > 400.443928891[/tex]

[tex]n > 400[/tex] (approximated)

This implies that n = 401, 402, 403 .....

i.e

[tex]n \geq 401[/tex]

So, at least 401 people has to be invited

Y=-5x+2 fill in the table using this function rule

Answers

X Y

-6 4

-3 1

0 6

3 -9

That’s the real answer

The required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Since we are not given the x - values, let the x values be -6, -3, 0 and 3

Given the function of y with respect to x;

y = -5x + 2

We need to get all the y-values for the given values of x as shown;

If x  = -6

y = -5 (-6) + 2

y = 30 + 2

y = 32

If x  = -3

y = -5 (-3) + 2

y = 15 + 2

y = 17

If x  = 0

y = -5 (0) + 2

y = 0 + 2

y = 2

If x  = 3

y = -5 (3) + 2

y = -15 + 2

y = -13

Hence the required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Learn more here: https://brainly.com/question/15011804

A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? * PLZZ help!!

Answers

He would earn $1,647.20 in commissions. To calculate this: cost of car * commission rate = his commission. 28,400 * .058 = $1,647.20

hey I am working on identify slope and intercept​

Answers

Answer:

hey hows ur day

Step-by-step explanation:

mins good

Answer:

Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.

Step-by-step explanation:

To identify the slope, find two points on the line, then use this equation to find the slope: [tex]\frac{y2 - y1}{x2 - x1}[/tex], where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.

Which recursive formula defines the sequence?

f(1) = 6, f(4) = 12, f(7) = 18

Answers

Step-by-step explanation:

A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent

Answers

Answer:

i cant see the graph if there was a graph with it it would really help lol

Step-by-step explanation:

Answer:

Don't Be mean Online. Be a buddy, Not a Bully

Step-by-step explanation:

BROOO HELP what is the slope of the line through (-3,3) and (-1,-1)?

A. 1/2
B. -1/2
C. -2
D. 2

Answers

Answer:

C

Step-by-step explanation:

We are given a line that contains the two points (-3, 3) and (-1, -1) and we want to determine the slope of the line.

To find the slope of a line given any two points, we can consider using the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the two points.

We have the two points (-3, 3) and (-1, -1).

So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).

Substitute and evaluate:

[tex]\displaystyle\begin{aligned} m&=\frac{(-1)-(3)}{(-1)-(-3)}\\ \\ &= \frac{-1 -3 }{-1 + 3} \\ \\ &= \frac{-4}{2} \\ \\ &= -2\end{aligned}[/tex]

So, the slope of the line is -2.

In conclusion, our answer is C.

Answer:

m=-2

Step-by-step explanation:

Its just -2 I cant explain sorry

A pizzeria charges $4 per slice of pizza, plus an additional $0.50 per topping. If Erica has at most $13.50 to spend on her pizza, how many toppings could she get on ONE slice of pizza? Write an inequality expression that represents the situation and solve! Explain your reasoning​

Answers

Answer:

19 topings

t=(13.5-4)/.5

Step-by-step explanation:

13.5-4

=9.5

9.5/.5

=19

what’s the nth term of -5,-4,-1,4,11,20,31

Answers

Answer:

The nth term is n + odd numbers

Thank you and please rate me as brainliest as it will help me to level up

Which equation matches the function described in the table?

Answers

Answer:

y = 4x - 1

Step-by-step explanation:

Equation y = 4x - 1 matches the function described in the table.

Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed. how many words did she type in her letter I'm taking a test I need this ASAP​

Answers

Answer:

She typed 32 words in her letter

Step-by-step explanation:

Assume that the letter has x words

She typed x words in her letter

∵ She misspelled 8 words

∵ She misspelled 25% of the words she typed

She misspelled 25% of x

→ That means 8 is equivalent to 25% of x

∴ 25% of x = 8

25% × x = 8

→ Change 25% to decimal by divide it by 100

∵ 25% = 25 ÷ 100 = 0.25

∴ 0.25 × x = 8

∴ 0.25x = 8

→ Divide both sides by 0.25

∵ [tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{8}{0.25}[/tex]

x = 32

∵ x represents the number of words that she typed in the letter

She typed 32 words in her letter

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