A scientist is studying bacterial growth over time. Her research is conducted by placing 10 strep bacteria in a petri dish containing enough food for the bacteria to live and thrive for the course of the research. She records the number of bacteria present every two hours for 6 hours. The collected data is shown in the table below and on the given graph.


a. What function, linear or exponential, do you think would be the best choice to model this data? Explain why you think your choice is the best-fit.

b. Explain how to determine which function is the best choice mathematically, without using a graph. Demonstrate your method.

c. Think of an example of at least 4 data points that would be best modeled by the function you did NOT choose in part a. Explain how you set up the data so that it worked with this type of function.

Answers

Answer 1

Answer:

whatch pH bro......,.......

Answer 2

Answer:

the number of bacteria present every two hours for 6 hours. The collected data is shown in the table below and on the given graph.A scientist is studying bacterial growth over time. Her research is conducted by placing 10 strep bacteria in a petri dish containing enough food for the bacteria to live and thrive for the course

Step-by-step explanation:


Related Questions

HELPP!!
For which value of h will the equation below
result in an infinite number of solutions?
(3x - 8)h = -27x + 72

Answers

Answer:

h = -9

Step-by-step explanation:

Try to make the left hand side and the right hand side equal. By dividing like

h = (-27x+72)/(3x-8)

= [-9(3x-8)]/(3x-8)

= -9

When both sides are equal, you can't find the value of x as there are infinitely many solutions of x.


A class has 26 students. Each student has to present a project to the class. To decide the order, the teacher writes every letter in the
alphabet on pieces of paper and puts it in a hat. What is the probability that the first letter drawn is not a vowel?


A. 7/26


B. 19/26


C. 21/26


D. 5/26

Answers

Answer:

Choice B.

19/ 20

Step-by-step explanation:

This is because there are 26 letters in the alphabet, 19 of which are non-vowels.

Answer:

21/26

Step-by-step explanation:

because there are 26 letter in the alphabet

and there are 5 vowels

so 26 - 5 = 21

21/26

solve: answer is x is greater than or equal to 3.​

Answers

Answer:

x ≥ 5

Step-by-step explanation:

[tex]\sf 4x+3\ge \:23[/tex]

subtract 3 from both sides

[tex]\sf 4x+3-3\ge \:23-3[/tex]

simplify

[tex]\sf 4x\ge \:20[/tex]

divide both sides by 5

[tex]\sf \dfrac{4x}{4}\ge \dfrac{20}{4}[/tex]

simplify

[tex]\sf x\ge \:5[/tex]

Answer:

x ≥ 5

Step-by-step explanation:

To simplify the given inequality, we need to isolate the variable "x".

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Step-1: Subtract 3 both sides

4x + 3 ≥ 23

⇒ 4x + 3 - 3 ≥ 23 - 3

⇒ 4x ≥ 23 - 3

⇒ 4x ≥ 20

Step-2: Divide 4 both sides

⇒ 4x ≥ 20

⇒ 4x/4 ≥ 20/4

x ≥ 5

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

(Note: The solution of the book you provided in your question is incorrect. Seek below for proof)

*answer is x is greater than or equal to 3.​*

Substituting 3 in the inequality:

4x + 3 ≥ 23

4(3) + 3 ≥ 23

12 + 3 ≥ 23

15 ≥ 23  (False)

help me find Find AB

Answers

25.9
The reason is b/c there is a pattern. 1st is since 11.5+7.2=18.7 than you would add 7.2 to 18.7 than you would get 25.9. Also another way is subtracting 18.7-11.5=7.2.

Ps: Jisoo is my bias wby???
Blackpink in your area

The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

We have,

The length along a line or line segment between two points on the line or line segment.

The coordinates of A are (-18, -18)

coordinates of B are (20, 0)

coordinates of C are (-12, 16)

The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²

Distance AB=√(20-(-18))²+(0-18)²

=√(20+18))²+(0-18)²=√38²+18²

AB=√1444+324

    =√1768

    =42.04 units

Distance BC=√(-12-20)²+(16)²

=√(-32)²+(16)²=√1024+256

=√1280

=35.77

Distance CA=√(-12-(-18))²+(16+18)²

=√(6)²+(34)²

=√36+1156=34.5

Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.

To learn more on Distance click:

brainly.com/question/15172156

#SPJ2

complete question:

PLease help me find the distance between AB BC and CA please help

A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14​

Answers

Answer:

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

x² - 16x + 50 = 0

( x² - 2(x)(8) + 64 ) - 64 + 50 = 0

( x - 8 )² - 14 = 0

( x - 8 )² = 14

Answer:

(x-8)^2=14

:)

Step-by-step explanation:

How many symmetrical sides does a star have?​

Answers

Answer:

Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star

An employee wants to invest ​$50,000 in a pension plan. One investment offers 4​% compounded quarterly. Another offers 3.75​% compounded continuously.
​(a) Which investment will earn more interest in 4 ​yr?
​(b) How much more will the better plan​ earn?

Answers

Using compound interest and continuous compouding, it is found that:

a) The investment at 4% compounded quarterly will earn more interest in 4 years.

b) The better plan will earn $537 more.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]

A(4) = $58,629.

What is the continuous compounding formula?

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

In this problem, this option has r = 0.0375, hence:

[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]

Then:

Item a:

The investment at 4% compounded quarterly will earn more interest in 4 years.

Item b:

58629 - 58092 = $537.

The better plan will earn $537 more.

More can be learned about compound interest at https://brainly.com/question/25781328

(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)

Answers

(a) Let θ be the angle between i + j and i - j. Then
(i + j) • (i - j) = ||i + j|| ||i -j|| cos(θ)
We also recall that for any vector x,
||x||² = x • x
We have
(i + j) • (i - j) = (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= ||i||² + (i • j) - (i • j) - ||j||²
= 1 + 0 - 1
= 0
and
||i + j|| = √(1² + 1²) = √2
||i - j|| = √(1² + (-1)²) = √2
So,
0 = 2 cos(θ)
cos(θ) = 0
θ = arccos(0) = 180°

(b) By the same process, we find
(2i + 5j) • 4i = 8
||2i + 5j|| = √(2² + 5²) = √29
||4i|| = 4
Then if θ is the angle between 2i + 5j and 4i, we have
8 = 4√29 cos(θ)
cos(θ) = 2/√29
θ = arccos(2/√29) ≈ 68.1986°

(c) Compute the magnitudes:
||A|| = √(14² + 2²) = √200 = 10√2
||B|| = √(2² + (-6)²) = √40 = 2√10
Now we can write
||B|| = 2√10 = 2 √(5 × 2) = 2√5 × √2 = 1/√5 × 10 √2 = 1/√5 ||A||
or
||A|| = √5 ||B||
so that k = 5.

Help pls! I rlly need this

Answers

Answer:

799.04

Step-by-step explanation:

First take the area of the rectangle, which would be 50 × 20 = 1000.

Then find the area of the circle. The area of a circle is [tex]\pi r^{2}[/tex].  Since the question says to use 3.14 for pi, your area would be 3.14 × 8².

8² equals 8 × 8 which is 64 and 3.14 times 64 is 200.96.

Since the circle is not part of the shaded area, you subtract the area of the rectangle by the area of the circle. 1000 - 200.96 is 799.04

Find the 18th term in the arithmetic sequence.
2, 8, 14, 20, 26, ...
87
110
104
102

Answers

I’m pretty sure it is 2

Answer:

104

Step-by-step explanation:

1st term + or - common difference (term -1)

common difference is +6

2 + 6 (18-1)

2 + 6 (17)

2 + 102

104

In a discount basis loan, interest is "pald" at the time the loan is made by deducting the Interest amount from the loan
amount.
“True
False”

Answers

Answer:

true

hope that helps

Step-by-step explanation:

A multiple-choice test has five possible answers for each question. If a student guesses at the answer, what is the probability that he or she selects the correct answer for one particular question?

Answers

Answer:

20% chance of getting the right answer

Step-by-step explanation:

he has a 1/5 chance, translated into 20 percent

Tammy took a total of 14 quizzes over the course of 7 weeks. ​ ​How many weeks of school will Tammy have to attend this quarter before she will have taken a total of 18 quizzes? ​ ​Solve using unit rates. ​Answer: weeks.

Answers

Answer:

9 weeks

Step-by-step explanation:

So he basically took 14 quizzes in 7 weeks.

14/7 = 2/quizzes per week

18/2 = 9 weeks

I don't know what you mean by unit rates but this is what I got.

Find the area of the figure.
(Sides meet at right angles.)

Answers

Answer:

16

Step-by-step explanation:

A of rectangle = L x W

= 3 x 4

= 12

A of square = L x W

= 2 x 2

= 4

The result is 16 squared

18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}

Answers

Answer:

using quadratic formula check the attachment

Sam paid a total of $750 for 10 tickets to a football game. The money is taken from his bank account.

Which expression represents the dollar amount that was taken from Sam's bank account.

Answers

Answer:$740

Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps

how many right angles in this shape the shape is a trapezoid

Answers

Answer:

Two

Step-by-step explanation:

Since two of the angles are 90 degrees, they are right angles.

Answer: There are 2 right anges in a trapizoid

Step-by-step explanation:

1 is on the bottom lieft side 2nd one is on the other is on the bottom right side

Need help with this question ! Due soon*

Answers

Answer:

x = 10, AB = 57

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:

[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]

[tex]13x - 4 = 126[/tex]

[tex]13x = 130[/tex]

[tex]x = 10[/tex]

[tex]5(10) + 7 = 50 + 7 = 57[/tex]

(b) The greatest four-digit number made with the digits 1, 0, 9, 2 is divided by the smallest three-digit number made with 1, 9, 2. Find the quotient and the remainder.​

Answers

Answer:

Quotient = 70

Remainder = 50

Step-by-step explanation:

The greatest number you can make is 9210, the smallest 3-digit number is = 129.

9210 / 129 = 71 with 50 left

so:

70 is the quotient and 50 is the remainder

9. The area of a rectangle is 12x + 15. The
length of the rectangle is 6. What is the
width of the rectangle?

Answers

Answer:

oh that's hard lol just go to the lowest number and times it on a piece of paper

A copy machine prints 10 copies per minute.
At what rate, in copies per minute, does the copy machine print?
Enter your answer in the space provided.

Answers

The rate in copies per minute the copy machine print is 10 copies per minutes.

What is rate?

Rate is the ratio between two related quantities in different units.

In other word rate is a quotient of two measurements with different units.

In our case we were asked to find the rate at which the machine prints per minutes.

The two related quantities are amount printed and the time in minutes.

Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.

learn more on rate here: https://brainly.com/question/14199541

1.74 multiplied by what equals 5.22

Answers

The answer is 3.
1.74 × 3 = 5.22

pls help fast!!! will give brainliest!!!!!!

Answers

Answer:

A. About 47.5π

B. About 149.1

how many 10 Kobo stamps can I buy with 40 naira​

Answers

Answer:

What is a kobo stemp

Step-by-step explanation:

Help picture below problem 13

Answers

?=9
C^2-a2=b2
15^2-12^2=9^2
The missing side = 9

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?

Answers

Answer:

yes the boy can get 80 small action figures

Answer:

Yes

Step-by-step explanation:

Given

380 tickets in possession5 tickets → large action fig.7 tickets → 2 small action fig.Boy wants 4 times small action fig. as large action fig.

Solving

We need to find if he can get 80 small fig.S = 805L + 7(2S) = 3805L + 280 = 3805L = 100L = 20Now, our condition was that : [number of small fig. = 4 x number of large fig.]80 (small) = 4 x 20 (large) [∴ verified]⇒ He can get 80 small action figures

Would appreciate some help

Answers

Answer:

e) 36x² - 32y³ = (4)(9x² - 8y³)

f) 45a⁴ - 54a³ = (9a³)(5a - 6)

Step-by-step explanation:

e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32

f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴

(the exponent are added)

PLEASE RATE!! I hope this helps!!
If you have any questions comment below

Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour

Answers

Answer:

18000 m

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first know how many minutes are in an hour

As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times

So 9000 two times is 18000,

Meaning, in 1 hour, Sam will climb 18000 m

Answer:

18,000m in an hour

Step-by-step explanation:

We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.

If y - 18 = 14, what is the value of 3(y + 5)?

Answers

Answer:

y-18=14

add 18 on both sides

y=32

plug that into the equation below

3(Y+5)

3(32+5)

add 32 and 5

3(37)

multiply

3

....

3 x 37 = 111

Having a hard figuring this one out

Answers

It’s the last one: 3xy^2sqrt[y]
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