A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.

Answers

Answer 1

Answer:

18 bacteria

Step-by-step explanation:

The formula for Exponential growth is given as:

y = a (1 + r)^t

a = Initial sample size = 5

y = Sample size after time t

r = Growth rate = 6% = 0.06

t = Time in hours = 22

Hence,

y = 5 (1 + 0.06)²²

y = 5 × 3.6035374165783565

y =18.017687083 bacteria

Approximately = 18 bacteria

Therefore, there would be 18 bacteria in the sample after 22 hours


Related Questions

Please help me with questions 3 and 4!!! It's really past due and I haven't been the best so far. Send help!!! (This is middle school math.)

Answers

Answer:

3.) 4

4.) 4j=44

    4j/4=44/4

      j=11

Pls mark Brainliest :)

Step-by-step explanation:

A car rental company charges $0.07 per mile for a rental car. If a customer drives 42 miles, how much will the mileage charge be?

Answers

Answer: $2.94

Step-by-step explanation:

You do 0.07 x 42

select the expression that has a sum of 75/100
a.70/100 + 4/10
b.68/100 + 6/10
c.6/10 + 12/100
d.4/10+ 34/100

Answers

Answer:

See below

Step-by-step explanation:

70/100 + 4/10 is equivalent to 70/100 + 40/100 which equals 110/100.

68/100 + 6/10 is equivalent to 68/100 + 60/100 which equals 128/100.

6/10 + 12/100 is equivalent to 60/100 + 12/100 which equals 72/100.

4/10 + 34/100 is equivalent to 40/100 + 34/100 which equals 74/100.

None of them equal 75/100, however if you were looking for 74/100 or 72/100, check above.

Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+7 4(x + 7) = 38​

Answers

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

Can someone plz help me with this one problem pls I really need to get to and 85 !!

Answers

Answer:

I think it’s  28.3

Step-by-step explanation:

Sorry If I’m wrong

Answer:

im guessing somwere around 27

Solve (x - 3)- + 7 = 97, where X is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. ​

Answers

Answer:

x=107 do you need explanation

help me please i cant get it

Answers

Answer:

Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.

The total cost of both games is:

X + Y

We know that both games cost just above AED 80

Then:

X + Y > AED 80

From this, we want to prove that at least one of the games costed more than AED 40.

Now let's play with the possible prices of X, there are two possible cases:

X is larger than AED 40

X is equal to or smaller than AED 40.

If X is more than AED 40, then we have a game that costed more than AED 40.

If X is less than or equal to AED 40, then:

X ≥ AED 40

Now let's take the maximum value of X in this scenario, this is:

X = AED 40

Replacing this in the first inequality, we get:

X + Y > AED 80

Replacing the value of X we get:

AED 40 + Y  > AED 80

Y > AED 80 - AED 40

Y > AED 40

So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.

So we proven that in all the possible cases, at least one of the two games costs more than AED 40.

The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?

Answers

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

What is a distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

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what is the ratio of 7 :21 in their simplest form​

Answers

divide both sides by 7

>>>>>> 1 : 3

given the function w(t) = 15t - 1, w(-1/3)=?​

Answers

Answer:

-6

Step-by-step explanation:

Plug in -1/3for t

W(-1/3)=15(-1/3)-1=-5-1=-6

Answer:

-6

Step-by-step explanation:

substitute -1/3 into w(t) = 15t - 1

=>  w(-1/3) = 15(-1/3) - 1

=> w(-1/3) = -6

A line has a slope of 8 and a y-intercept of 5. What is its equation in slope -intercept form?

Answers

Answer:

y = 8x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = 5

y = 8x + 5 ← equation of line

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct​

Answers

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

Help please I need the answer quick.

Answers

Answer:

d

Step-by-step explanation:

Write two numbers that multiply to the value on top and add to the value on bottom. -60−60 -4−4 \times× ++

Answers

Answer:

The two numbers are 6 and -10

Step-by-step explanation:

Given

[tex]Product = -60[/tex]

[tex]Sum =-4[/tex]

Required

Two numbers that satisfy the above

Let the two numbers be x and y.

So:

[tex]x * y = -60[/tex]

[tex]x + y = -4[/tex]

Make x the subject

[tex]x = -4 - y[/tex]

Substitute [tex]x = -4 - y[/tex] in [tex]x * y = -60[/tex]

[tex](-4 -y) * y = -60[/tex]

Open bracket

[tex]-4y -y^2 = -60[/tex]

Rewrite as:

[tex]y^2 + 4y - 60 = 0[/tex]

Split

[tex]y^2 + 10y - 6y - 60 = 0[/tex]

Factorize

[tex]y(y + 10) - 6(y + 10) = 0[/tex]

Factor out y + 10

[tex](y - 6) (y + 10) = 0[/tex]

Solve for y

[tex]y -6=0\ or\ y+10=0[/tex]

[tex]y =6\ or\ y=-10[/tex]

Recall that:

[tex]x = -4 - y[/tex]

So:

[tex]x = -4-6= -10[/tex]

or

[tex]x = -4--10= 6[/tex]

So:

[tex]y =6\ or\ y=-10[/tex]

[tex]x = -10\ or\ x =6[/tex]

The two numbers are 6 and -10

the average length of a doves egg is 7 1/2 inches. the average length of a ravens egg is 6/10 inches. about how many more inches is the doves egg to the ravens

Answers

Answer:

7 1/10 inch

Step-by-step explanation:

The tax rate at this restaurant is 9.5%.




Marc’s sales tax is $1.61. How much was his subtotal?

Answers

Answer:

I don't know, I'm just doing this to get points. lol

Step-by-step explanation:

haha


Which value of x makes the inequality true

Answers

Answer:

the answer is D

you would end up with 14% and 14 is in between 12 ns 18

Step-by-step explanation:

Pls help I will give branlist answer on the best one


Don’t explain it just strait up give me the answer for 1,2 and 3

Answers

Answer:

Plz explain how to do this. Do I put numbers or what?

Step-by-step explanation:

When you tell me, I'll answer! <3

Identify the sampling designs that use convenience sampling. Check all that apply.

A grocery chain uses information from customer purchases to select products for future promotions.
The first three people arriving at a movie theater are asked about their favorite movie genre.
A company’s internal website posts a link to a survey with questions about how to improve business practices.
A zoo has a booth where people can complete a comment card about future programs the zoo might consider for students.
The drama club interviews patrons of the play about their interests in fine arts.
A marine biologist measures weights of alligators in the Florida swamplands.

Answers

Answer:

1,2,5

Step-by-step explanation:

I did the assignment

Answer:

A grocery chain uses information from customer purchases to select products for future promotions.

The first three people arriving at a movie theater are asked about their favorite movie genre.

The drama club interviews patrons of the play about their interests in fine arts.

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints. (10, 7) and (5, 4)

Answers

Answer:

[tex]\frac{15}{2} , \frac{11}{2}[/tex]

Step-by-step explanation:-

To find the midpoint, the equation we use is:-

[tex]\frac{x1 +x2}{2} , \frac{y1 + y2}{2}[/tex]

x1 = 10

x2 = 5

y1 = 7

y2 = 4

Substituting the values in the equation, we get:-

[tex]\frac{10+5}{2} , \frac{7+4}{2}[/tex]

Coordinates of the midpoint---> [tex]\frac{15}{2} , \frac{11}{2}[/tex]

características de una
función de seno

Answers

Answer:

Son funciones periódicas con un período de. 2 π. ... La gráfica de y = sin x y = sin x es simétrica con respecto al origen, porque es una función impar. La gráfica de y = cos x y = cos x es simétrica con respecto al eje y, porque es una función par.

Step-by-step explanation:

marque esta respuesta como la más inteligente

Cuando tienen el periodo

sfewrthewbtwebrhwebrthbweytbewhibthewghuelbtrueruhewbthujbrultbhrt

Answers

This fjzbwndjsjenskfkfnf I’m dababy

If right you’ll get brainliest

Answers

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

Select all of the expressions that are equal to 1/8
8÷1
2÷16
2÷1/4
1÷8
1/4÷2

Answers

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Please helpp ASAP

Plsss helpp ASAP

Extra 100 points and brainliest

Answers

Answer:

C

Step-by-step explanation:

I think

If thats not right I apologize

Please help me with this ASAP

Answers

l2=r2+h2
L=32.7

Surface areA= SA = πr2 + πrl
= 1866.24

If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left

Answers

Answer:

D. 4 units to the left

The transformation of the function will be 4 units to the left. The correct option is D.

What is translation?

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.

Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.

When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).

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The mean of Tom’s scores on 5 tests was 77.4%. The scores on his first four tests were 88, 77, 70, and 72. What was Tom’s score on his fifth test?

Answers

Answer:

88%

Step-by-step explanation:

First we multiply the mean by 5.

77.4 x 5 = 387

Then we add all of the test scores.

88 + 77 + 70 + 72 = 299

We subtract the total of the scores from 387, which we got from mulitplying the mean by 5.

387 - 299 = 88

Therefore, Tom's score on his fifth test was an 88%.

Hope this helps!

Charlie asked 60 students in his class what their favorite color was

Answers

Can u say the full question this doesn’t tell me what I’m doing

Answer:

What?

Step-by-step explanation:

I think you didn't finish the question. Add it again and I'll go check tell me when you've posted another one if you did.

Write x^3- 7x + 7x^5 - 19 + x^2
in standard form.
A. -19 + 7x5 - 7x + x3 + x2
B. x3 – 7x + 7x5 – 19 + x2
0
C. 7x5 + x3 + x2 - 7x - 19
O D. -19 - 7x + x2 + x + 7x5

Answers

Answer:

C

Step-by-step explanation:

A polynomial in standard form is first term, variable with largest exponent  followed by decreasing exponents to the last term, the constant

Given

x³ - 7x + 7[tex]x^{5}[/tex] - 19 + x² ← rearrange terms

= 7[tex]x^{5}[/tex] + x³ + x² - 7x - 19 ← in standard form → C

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