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Assessment items
Item 1

A scientist studied the replication of bacteria in a lab environment. This table gives the bacteria count for the first 12 hours. The table can be modeled using an exponential function.

Hours 2 4 6 8 10 12
Bacteria count 1,240 5,100 20,990 86,520 365,520 1,469,170

What function best represents the data?

y=300+4x
y=1240⋅2.03x
y=4x
y=300⋅2.03x

Answers

Answer 1

Answer: y=300⋅2.03x

Step-by-step explanation:

Answer 2

Answer:

D.) y = 300 ⋅ 2.03x

Step-by-step explanation:

By using the plug-in method, you use "Hours" as the X in this question.

If you plug in 2, 4, 6, 8, 10, and 12 to y = 300 ⋅ 2.03x, you will get the closest answers to "Bateria Count"

1,236.27 = 300 ⋅ 2.03^2
5,094.54= 300 ⋅ 2.03^4
2,0994.11 = 300 ⋅ 2.03^6
86,514.63 = 300 ⋅ 2.03^8
and so on- all are the closest to the chart.

Hope this helped! :)


Related Questions

Sandy spent 1/3 of her money on a blouse, 1/4 of the remainder on food and $4 on a pen. If she had $20 left, how much money did she have at first?

A.$48
B.$56
C.$72
D.$144

Answers

D im not sure abt that

1. Explain how to write 1.25 divided by 0.8 three ways.

Answers

Answer:

Step-by-step explanation:

1.25/.8=a

[tex]\frac{5}{4} /\frac{4}{5}[/tex]

1.25/4/5

please help me!! thank youu!!!

Answers

Answer:

24

Step-by-step explanation:

Area of a triangle

A = 1/2 bh

b=12

h=4

A= 1/2 * 12 * 4

A = 24

What is the solution to the inequality? -3x - 14 < -5

Answers

Answer:

-3x - 14 < -5

-3x < 9 (14 - 5)

x < 9: (-3)

x < -3

=> x = { -4, -5, -6, ...}

Step-by-step explanation:

please help!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

if half of the trail mix is split in to 4, let's say the same for the other half. then there will be 8 bags.

What is the measure of the angle of the hands on a clock if it is 3:24?

Answers

Answer:

from 3 o’clock until 3:20, the minute hand will move 1/3 of the way around the circle or 120 degrees. But the hour hand has also moved 1/3 of the way to the next number, or 10 degrees.

Answer:

42deg

Step-by-step explanation:

Let's see.

We'll consider 12:00 the "starting position"

The minute hand moves with the speed of 360deg in an hour, so 6deg per minute.

The hour hand moves with the speed of 360deg in 12hours, so 30deg per hour, so 0.5deg per minute.

at 3:24, the minute hand has moved 24*6deg=144deg from the starting position, while the hour hand has moved by 3*30deg + 24*0.5deg = 102deg

The absolute difference of the angles is 144deg-102deg = 42deg and it's the angle between the hands.

Solve for x, y, and z

Answers

Answer:

Step-by-step explanation:

x = 3, y = -3, & z = 0.

x = 70°
y = 80°
z = 30°

A bakery sold a total of 400 cupcakes in a day, and 63% of them were mocha flavored.
How many of the cupcakes sold that day were mocha flavored?

Answers

Answer:

252 cupcakes were mocha flavored

Step-by-step explanation:

(63*400)/100 = 25200/100 = 252

Answer:

252 cupcakes were mocha flavored.

Step-by-step explanation:

35. Para pintar una casa se mezclaron 5/4 L do pintura blanca y 1/2 L de pintura azul. Al final solo se emplearon 213 L de la mezda,
¿cuántos litros de pintura sobraron?​

Answers

Answer:

Total paint left over = [tex]\frac{13}{12}L[/tex]

Step-by-step explanation:

Given - To paint a house, 5/4 L of white paint and 1/2 L of blue paint

             were mixed. In the end only 2/3 L of the mixture were used.

To find - How many liters of paint were left over ?

Proof -

Given that,

5/4 L of white paint and 1/2 L of blue paint were mixed.

So, total mixture = [tex](\frac{5}{4} + \frac{1}{2})L[/tex]

                          = [tex]\frac{5 + 2}{4}L[/tex]

                          = [tex]\frac{7}{4}L[/tex]

⇒Total mixture =  [tex]\frac{7}{4}L[/tex]

Now,

Given that ,

In the end only 2/3 L of the mixture were used.

So, total mixture left = [tex](\frac{7}{4} - \frac{2}{3})L[/tex]

                                = [tex]\frac{21 - 8}{12}L[/tex]

                                = [tex]\frac{13}{12}L[/tex]

∴ we get

Total paint left over = [tex]\frac{13}{12}L[/tex]



What is the inverse of the given relation?

y = 3x + 12

Answers

Answer:

y=3x+12

y-12=3x

x=y/3 - 4

f(y)=y/3 - 4

or

f(x)=x/3 - 4

where f(x) is the inverse of y.

Hope this helps ;]

Step-by-step explanation:

If <2 = 75 degrees and <3 = 30 degrees, find <3 and <4.

Answers

Answer:

angle 3 is 30 and 4 is 150 because total angle is 180 between 3 and 4

Explain how I got 100(x + 7 y from 100x + 700y

Answers

I’m not even sure bud

y’ =2x - 3y + 1,y(1) = 5; y(1.2)

Answers

Applying Euler's method:

Let f(x, y) = 2x - 3y + 1, and consider the following recurrence relations:

[tex]\begin{cases}x_0=1\\x_n=x_{n-1}+h&\text{for }n\ge1\end{cases}[/tex]

[tex]\begin{cases}y_0=5\\y_n=y_{n-1}+f(x_n,y_n)h&\text{for }n\ge1\end{cases}[/tex]

For step size h = 0.1, we can approximate y (1.2) with just 2 steps:

[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.1=3.8[/tex]

[tex]\begin{cases}x_1=1+0.1=1.1\\y_1=3.8\end{cases}\implies y_2=3.8+f(1.1,3.8)\times0.1=\boxed{2.98}[/tex]

For step size h = 0.05, we need 4 steps:

[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.05=4.4[/tex]

[tex]\begin{cases}x_1=1+0.05=1.05\\y_1=4.4\end{cases}\implies y_2=4.4+f(1.05,4.4)\times0.05=3.895[/tex]

[tex]\begin{cases}x_2=1.05+0.05=1.1\\y_2=3.895\end{cases}\implies y_3=3.895+f(1.1,3.895)\times0.05=3.47075[/tex]

[tex]\begin{cases}x_3=1.1+0.05=1.15\\y_3=3.47075\end{cases}\implies y_4=3.47075+f(1.15,3.47075)\times0.05\approx\boxed{3.1151375}[/tex]

(Compare these to the value of y (1.2) found using the exact solution to the differential equation, about 3.22832.)

Graph the integer 0 to its opposite on the number line

Answers

Answer:

It would be graphed at 0.

Step-by-step explanation: The answer would be graphed at 0 on a number line because 0 is its opposite.

Hope this helps!

Identify the scenarios in which the statistics are misleading.
A supermarket claims that 65% of its shoppers would like to see home delivery offered. They arrived at the conclusion by polling 50 randomly selected customers on a Tuesday afternoon.
A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
A website claims that 47% of its visitors click on at least one advertisement while browsing the site. The information was collected from a database containing all the activity on the website during the past month.
A music store owner claims that about 15% of high school students in his city can play the piano. He concludes this after surveying 80 randomly selected students from the various high schools in his city.
A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

Answers

Answer:

-A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

-A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Please give me brainliest, I really need it.

The scenarios in which the statistics are misleading; option 1 and 3.

What is sample and statistic?

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

The  numbers which summarize information about the sample are called statistic.

The scenarios in which the statistics are misleading;

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Learn more about z-statistic here:

https://brainly.com/question/1640298

#SPJ2

help plase im sorry please

Answers

Answer:

f(x) = 417(3.15) x the second option which is the only one with correct units from the question

Answer:

second one

Step-by-step explanation:

2.1 What are variable costs?​

Answers

Variable costs are costs that change as the quantity of the good or service that a business produces changes.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Variable costs are costs that change as the quantity of the good or service that a business produces changes. Variable costs are the sum of marginal costs over all units produced. They can also be considered normal costs. Fixed costs and variable costs make up the two components of total cost. 

Hope it helps you!

Mark me brainliest pls....

Follow me!:)

David spent $13 of the $20 that is in his wallet. What percentage is equivalent to the amount David spent?

Answers

Answer:

Step-by-step explanation:

= 13/20*100

= 60

David spent 60% of his money which was in his wallet.

Alice and Bob are taking turns to shoot at a target. Assume that they are each equally like to take the first shot. Alice has a hit rate 3/4 and Bob has a hit rate of 4/5. Then, what is the expected value of the number of hits (Alice and Bob combined) after a total of 5 shots

Answers

Answer:

7

Step-by-step explanation:

15/20 times 5 is 75/20, simplified that is 3 15/20

16/20 times 5 is 80/20, simplified that is 4

Does this graph represent a function?

Answers

Yes and the correct one is A

Tell weather the angles are complementary or supplementary. The. Find the value of x. WITH EXPLANATION

Answers

They are complementary angles because they add up to 90 degrees.

X=10
Explanation: 6x10+1=61. 61+29=90

Randy has 386 hockey cards. he has 165 more baseball cards does he have in all​

Answers

Answer:

just add 386+165 which equals 551

Step-by-step explanation:

solution to the inequality 2b + 8 < 12 ? *

Answers

Answer:

abcdefgh

mea aab is the breadth and comment of a student

Find the slope of the graph. Write it as a
fraction or whole number (not a mixed number).What the answer ?

Answers

Answer:0

Step-by-step explanation:

does not go up or down

How many 45 angles would it take to turn in a complete circle???

Answers

Answer:

8

Step-by-step explanation:

A complete circle is 360 degrees so we divide 360/45 and that is equal to 8

The question that is asked

Answers

Answer:

the answer is 35.0° pls thank :)

Please help need answer today!!
Maribella buys 5 pounds of white potatoes and as many pounds of sweet potatoes. How many pounds of sweet potatoes does she buy? Use
paper to model the problem with a tape diagram. In the boxes below, express your answer as a both a fraction greater than one and a mixed
number.
Mixed Number: Maribella buys
pounds of sweet potatoes.
Fraction Greater than One: Maribella buys
pounds of sweet potatoes.

Answers

Answer:

She buys 5 pounds of sweet potatoes.

Step-by-step explanation:

What should be done to solve the equation X -17 equals 11 at 17 to both sides at 17 to the left side and subtract 11 from the right side at 17 to the left side and subtract 1717 the

Answers

Answer:

the answer is A

Step-by-step explanation:

add 17 to both sides

can anyone do 4-13 for me please ?? i’m struggling

Answers

Answer:

Well q4 I think x=186 I'm not sure

Someone solve for x pls

Answers

Answer:

Possibly wrong but 13.66?

Answer:

√8

Step-by-step explanation:

a^2 + b^2 = 4^2

a^2 + b^2 = 16

a^2 = b^2

a^2 = 8

a & b = √8

Brainilist Maybe?

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