To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​

Answers

Answer 1
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria

Related Questions

200 cm and 200 dm which one is bigger

Answers

Answer

200 DM

Hope this helps

Ricky spent $44 total on a baseball mitt and a ball. If the mitt cost
$2 more than 5 times the cost of the ball, find the cost of each
item.

Answers

Answer:

The baseball mitt was $37 and the ball was $7

Step-by-step explanation:

Let m represent the cost of the mitt and let b represent the cost of the ball

Set up a system of equations:

m + b = 44

m = 5b + 2

Solve by substitution by plugging in 5b + 2 as m in the first equation:

5b + 2 + b = 44

Solve for b:

6b + 2 = 44

6b = 42

b = 7

Plug in 7 into the first equation and solve for m:

m + b = 44

m + 7 = 44

m = 37

So, the baseball mitt was $37 and the ball was $7

Use Ratio and Rate Vocabulary
RECORDING SHEET
Harper is buying fabric to make pillows. At the store, 3 yards of
flannel fabric costs $18, and 5 feet of fleece fabric costs $11. Whi
the better buy?
I know the units need to be the same to compare the prices.
First,
the length of the flannel fabric to feet.
The
of feet to yards is 3 feet: 1 yard.

Answers

for flannel, 3*3=9, 18/9=2 so $2 per foot.
for fleece, 11/5=5.5 so $5.50 per foot.
flannel is the better but

please tell fast plzzzzzz​

Answers

Step-by-step explanation:

1x+4x=180(sum of supplementary angles)

5x. =180

x. =180/5

x. = 36

1 4
. Find the value of discriminant of the quadratic equation 5m? - m = 0
Write down the formula of median​

Answers

Answer:

[tex]D = 1[/tex] --- Determinant

[tex]M = \frac{N+1}{2}th[/tex] --- Median

Step-by-step explanation:

Given

[tex]5m^2 - m = 0[/tex]

Required

Calculate the determinant (D)

This is calculated using

[tex]D = b^2 - 4ac[/tex]

In [tex]5m^2 - m = 0[/tex]

[tex]a = 5[/tex], [tex]b = -1[/tex] and [tex]c = 0[/tex]

So, we have:

[tex]D = b^2 - 4ac[/tex]

[tex]D = (-1)^2 - 4 *5*0[/tex]

[tex]D = 1 - 0[/tex]

[tex]D = 1[/tex]

(b) Median Formula.

Median (M) is calculated using:

[tex]M = \frac{N+1}{2}th[/tex] item

Y varies inversely as the square of x. If y=10 and x=4, find x if y=8

Answers

Answer:

gmxgmxkydyoduryljfhlduñfixjcigtltgracjas por los puntos gigkckckxkjajguajajajjaa

Can someone please help me with the last three?? I don’t know what I keep doing wrong.

Answers

Answer:

1. 78.22%

2. 0.342%

3. 21.77%

Step-by-step explanation:

To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.

1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)

2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)

3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)

50% of 25% of a number x is
A- one eighth of X
B- half of X
C- one fourth of X
D- three fourth of X

Answers

Answer:

The word "of" in mathematical terms means multiplication. The word "is" means equal. This would be translated into 50% x 25% x X = or 0.50 x 0.25 x X =. 0.50 times 0.25 = 0.125. Putting 0.125 into a fraction, it would be 125/1000. Simplify this fraction to get 1/8. So, the answer would be A.

A 15-passenger van is
rented for a family vacation.
The van rental is 460 per
day, plus a $145 insurance
fee. How many days can the
van be rented if they want to
spend no more than $625 on
the van rental. Write and
solve an inequality

Answers

Answer:

Inequality is 460x+ 145 [tex]\leq[/tex] 625 (I can't put the less than or equal to sign down sorry)

Step-by-step explanation:

2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor


esto es de fisica

Answers

àaaaaaaaaaaaass la verdad no se

simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss​

Answers

Answer:

-6 a b + b + a

Step-by-step explanation:

Simplify the following:

-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a

Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.

Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):

-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in -a b - 4 a b.

a b (-1) + a b (-4) = -5 a b:

-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in 3 a - a.

3 a - a = 2 a:

-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)

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

2 b - 2 b = 0:

-(a b - b + a) - 5 a b + 2 a

Hint: | Distribute -1 over a b - b + a.

-(a b - b + a) = -a b + b - a:

-a b + b - a - 5 a b + 2 a

Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.

Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):

(-a b - 5 a b) + b + (-a + 2 a)

Hint: | Combine like terms in -a b - 5 a b.

a b (-1) + a b (-5) = -6 a b:

-6 a b + b + (2 a - a)

Hint: | Combine like terms in 2 a - a.

2 a - a = a:

Answer: -6 a b + b + a

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim

Answers

Answer:

Hence, we fail to reject the null ;

There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%

Step-by-step explanation:

Given that :

Sample size, n = 900

p = 0.37

p0 = 0.34

H0 : p = 0.34

H1 : p > 0.34

Right tailed test:

Decision region:

Reject Null if ;

Zstatistic > Zcritical

Zcritical at α 0.02 = 2.05

Hence

Reject H0 : if Zstatistic > 2.05

Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)

= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)

= 1.8999

1.8999 < 2.05

Zstatistic < Zcritical

Hence, we fail to reject the null ;

There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%

Components used in a cellular telephone are manufactured with nominal dimension of .3 mm and lower and upper specification limits of .295 mm and .305 mm respectively. the x bar and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x bar chart at .3015 mm and the center line of the R chart at .00154 mm.
a) Estimate the mean and standard deviation of this process.
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Xbar = 0.3015 ; Rbar = 0.00154

USL = 0.295 ; LSL = 0.305

For a subgroup size of 3 ; k = 3 ; d2 = 1.693

The mean = xbar = 0.3015 mm

The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096

b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3015) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3015) / 0.0009096 = 3.847

1 - P(Z < 3.847)

1 - 0.99994

= 0.00006

0.00006 should be reworked.

c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Recommended mean = 0.3000 mm

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3000) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3000) / 0.0009096 = 5.497

1 - P(Z < 5.497)

1 - 0.99997

= 0.00003

0.00003 should be reworked.

Which three side lengths best describe the triangle in the diagram

Answers

I think the answer is 6cm, 8cm, 10cm

Answer:

its 6 cm, 8cm, and 10 cm

Step-by-step explanation:

i just took the quiz

17/2 is bigger than what?​

Answers

Answer:

7/2= 8.5 so it can be bigger then 1/2 or anything under 8.5

Step-by-step explanation:

What is the measure of angle x round the nearest degree

Answers

Answer: 16 degrees obviously

Step-by-step explanation:

Write a whole number that round to 2000 if we are rounding to the nearest thousaand

Answers

Answer:2200

Step-by-step explanation:

Easy peesy lemon squezzy

1999 easy peasy lemon Squeezy

Kaliq and Maria ench improved their yards by planting grass sod and shrubs. They bought their supplied from the same store. Kali spent $119 on 14ft^2 of grass sod and 3 shrubs. Mana spent 398 on 7ft^2 of grass sod and 7 shrubs. Find the cost of one ft^2 of grass sod and the cost of one shrub​

Answers

Answer:

i dont get it

Step-by-step explanation:

f(x) = 3sinxº
Find f(22)
Give your answer correct to 3 significant figures.

Answers

Answer:

f(22) = 1.12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3sinx°

f(22) is x = 22

Step 2: Evaluate

Substitute in x:                                                                                               f(22) = 3sin22°Trig:                                                                                                                 f(22) = 3(0.374607)Multiply:                                                                                                           f(22) = 1.12382Round:                                                                                                            f(22) = 1.12

Interest of 200 million dollars 53% and 22 years will give brainliest to correct answer

Answers

Answer:

$2,313,150,687,166.22 is the interest accrued.

Step-by-step explanation:

Hope this helps

Answer:

$2,313,150,687,166.22 is the interest

Step-by-step explanation:

hope this helps.

PLEASE DO THIS AND SHOW WORK (USE INVERSE OPERATION)

Answers

Answer:

No bond, I was on the run, bet you can't relate

Totin' guns, shootin' sh,it for fun, bet you can't relate

Locked up, couldn't see my son, I bet you can't relate

Jumped the opps, ain't no one on ones, I bet you can't relate r.i.p my ni.gga von

Step-by-step explanation:

What is 13x+14=???????

Answers

Answer:

x= -1.077

Step-by-step explanation:

(13x+14) -14=0(-14)

13x/(13)= -14/(13)

x= -1.077

Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.

Answers

Answer: The table represents a proportional relationship.

Find the value of x.
х
50°

Answers

The unknown value of x from the diagram is 80 degrees.

The given diagram is an isosceles triangle.

The base angle of an isosceles triangle are equal

The sum of angle in a triangle is also 180 degrees. Hence:

x + 50 + 50 = 180

x + 100 = 180

Subtract 100 from both sides

x + 100 - 100 = 180 - 100

x = 80 degrees

Hence the unknown value of x from the diagram is 80 degrees.

Learn more here: https://brainly.com/question/21680544

What is the lateral area of a right prism which has a lateral edge of 4 inches and has a regular pentagon on base with an edge of 12 inches ?

Answers

Answer:

240 inches squared

Step-by-step explanation:

[tex]A=5*4*12=240[/tex]

complete inequality for a graph

Answers

What graph? What do you mean i mean where who?

How many 3/5 are in 7

Answers

Answer:

11.6

Step-by-step explanation:

7 ÷ ⅗ = 11.6

I hope this answer is satisfactory. Please comment if you have any concerns.

Answer:

35/3 or 11 2/3

Step-by-step explanation:

This is a division problem.

We need to divide 7 by 3/5.

7 / 3/5 = 7/1 / 3/5 = 7/1 * 5/3 = 35/3 = 11 2/3

Answer: 35/3 or 11 2/3

Raina picks 20 flowers
1/4 are roses 2/5
are daisies
How many flowes are lilies?

Answers

Answer:

7 of the flowers were lilies.

Step-by-step explanation:

8 daises and 5 roses were picked. 8 + 5 = 13    20 - 13 = 7

7 of the flowers were lilies

Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6

Answers

Answer:

The ans is 3,4,5

Step-by-step explanation:

Hope it helps you Tq

Create a word problem that can be represented by the expression in number 4. –6 ÷ 1 1/3 ​

Answers

Answer:

I suppose that we want to use the expression in number 4.

The expression we need to use is:

6/(1 + 1/3)

This is:

"the quotient between the number 6 and the number 1 and 1/3"

We could write a problem like:

"We have 1 and 1/3 pounds of apples, and we have 6 grams of caramel that we want to divide evenly between all the apples. How much caramel we will have in each pound of apples?"

Then we need to divide the total amount of caramel by the total amount of apples, this is:

(6gr)/(1 + 1/3 lb) = (6/(3/3 + 1/3  )) gr/lb = (6/ 4/3) gr/lb = 6*(3/4) gr/lb

= 18/4 gr/lb =  (16 + 2)/4 gt/lb = 16/4 gr/lb + 2/4gr/lb = 4 gr/lb + 1/2 gr/lb

= (4 and 1/2) gr/lb

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