A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19

The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.

Answers

Answer 1

Answer:

y = 2x

Step-by-step explanation:

Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.


Related Questions

Pls help this is due today! Find the value of x, then the value of each angle:

Answers

The top angle is 56 degrees

The bottom angle is 34 degrees

X=29

Answer:

x = 29

angles are 90 degrees, 56 degrees, and 34 degrees

Step-by-step explanation:

90 + (2X-2) + (X+5) = 180

3X + 93 = 180

3X = 87

X = 29

C/2 - 3 + 6/d when c=14 d=3

Answers

Answer:

6

Step-by-step explanation:

14/2 - 3 + 6/3

Divide 14 by 2 to get 7.

7−3+6/3

Subtract 3 from 7 to get 4.

4+6/3

Divide 6 by 3 to get 2.

4+2

Add 4 and 2 to get 6.

6

Algebra Unit 2Part 2 Test please show work

Answers

This it the test please do as fast as posible and show work. thank you and sorry

Kenneth runs 12 laps around a track in 15 min. How many minutes per a lap is that?



**choose your answer from the choices on Slide 2, but you must show how you got your answer on the chart, blank drawing space below, or explain in words**

Answers

Answer: 1.25 minutes per lap

Step-by-step explanation:

Her total time divided by total laps is 15 divided by 12, which is 1.25

Answer:

Kenith runs 0.8 laps a minute

Step-by-step explanation:

A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?
5 inches
6 inches
8 inches
12 inches

Answers

b. if it is 7 inches wide it will be 6 inches tall

Answer:

5 inches

Step-by-step explanation:

Hope I helped

A survey found that 73% of people use streaming services, of those who stream, 28% report that they download
movies,
Find the probability that a randomly selected person uses streaming services and downloads movies,
0.20
0.28
0.38
2.61

Answers

Answer:

0.20

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answers

Answer:

a) 0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b) 0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c) The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.

This means that [tex]\mu = 200, \sigma = 8.3[/tex]

a. Find the probability that an individual distance is greater than 210.00 cm.

This is 1 subtracted by the pvalue of Z when X = 210. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{210 - 200}{8.3}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a pvalue of 0.8849

1 - 0.8849 = 0.1151

0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm

Now [tex]n = 20, s = \frac{8.3}{\sqrt{20}} = 1.8559[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 197.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{197.8 - 200}{1.8559}[/tex]

[tex]Z = -1.19[/tex]

[tex]Z = -1.19[/tex] has a pvalue of 0.117

1 - 0.117 = 0.883

0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The distribution of the population is normal, which means that the sample size does not need to exceed 30.

What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1

Answers

Answer:

-6

Step-by-step explanation:

The equation is y = -7x - 6.

The initial value is found when x = 0.

y = -7(0) - 6

y = 0 - 6

y = -6

A meteorologist stated that 1 foot of snowfall would melt to make 2 inches of water. Based on this rule, how much water should result from 84 inches of snowfall ?

Answers

80 I guess is the answer

39 inches is the right answer just did the test on edge

Answers

Yup 39 is the correct answer good job :-)

Answer:

thanks have a nice day can you please mark me brainliest im trying to rank up and i  need 2 more brainlys

Step-by-step explanation:

find the product 6 * 1/3​

Answers

Answer:

2

Step-by-step explanation:

Reduce the numbers with the greatest common factor which is 3

So.. 2

The original cost is $25. The item has a discount of 20% off. What is the discount amount?

Answers

Answer:20 dollars.

not sure

Step-by-step explanation:

PLEASEEEE HELP THIS IS DUE TODAY!!!

Answers

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

Mr.moss has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left

Answers

Answer:

2

Step-by-step explanation:

I did 8 divided by 4 which is 2.

I hope this helps.

please help helppppppp

Answers

it a quadrilateral, square, and parallelogram.

Work out the size of angle x.

Answers

Answer:

First: 105

Second: 65

Third: 133

Fourth: 129

Fifth: 60

PLEASE ANSWER THIS QUESTION
Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.​

Answers

Answer:

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

= 5

They are equivalent because when they are both simplified they have the same answer 5

please what is the answer? i need the steps too please help me

Answers

Do not write this one actually I have just give you one example

Find the area of this figure

Answers

52 is the answer to this question

Helpppppp please i need help on this question

Answers

Step-by-step explanation:

K=12 if you want explanation i will

Explanation:
k + 6 = 18
k = 18 - 6
k = 12

What is the perimeter of the triangle?

Answers

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

If 42,800 dollars is invested at an interest rate of 5 percent per year, find the value of the investment at the
end of 5 years for the following compounding methods.

What is the
Annual $
Semiannual $
Monthly $
Daily $
Continuously $

Answers

Answer:

Annual $54,624.85

Semiannual $54,787.62

Monthly $54,927.75

Daily $54,955.35

Continuously $54,955.35

Step-by-step explanation:

If 42,800 dollars are invested at an interest rate of 5 percent per year, to find the value of the investment at the end of 5 years for the following compounding methods, the following calculations must be performed:

Annual $54,624.85

42,800 (1 + 0.05 / 1)^5x1 = X = 54,624.85

Semiannual $54,787.62

42,800 (1 + 0.05 / 2)^5x2 = X = 54,787.62

Monthly $54,927.75

42,800 (1 + 0.05 / 12)^5x12 = X = 54,927.75

Daily $54,955.35

42,800 (1 + 0.05 / 365)^5x365 = X = 54,955.35

Continuously $54,955.35

42,800 (1 + 0.05 / 365)^5x365 = X = 54,955.35

Please help I don't get this

Answers

Answer:

18n+9

Step-by-step explanation:

9(2n+1)

multiply the 9 with the numbers in the parenthesis

18n+9

r+6<10 what’s the answer?

Answers

Answer:

r < 4

Step-by-step explanation:

r+6<10

r < 4

Solve the system by substitution.
2x + 3y = 32
y = x + 9

Answers

Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

10=1+9

Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?

Answers

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
3x - y = -1
1. 6x-2y = -1
2. 3x - y = 4
3. -2x + 3y = 5
4. 4x + y = -4​

Answers

2 it is sorry if this is wrong

Write the equation in standard form for the circle x^2 + y^2 + 16x + 28 = 0.

Answers

Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

simplify 5p - 3 p + p​

Answers

the answer is 3p

hope it helps!

Answer: 3p

Step-by-step explanation:

5 − 3 + =

3

5th grade math/// In the first week of a food drive, the 5th grade collected 2 3/4 bags of canned goods. The goal is to collect 2 1/2 times as many bags in the second week. How many bags is the 5th grade hoping to collect in the second week?

Answers

The number of bags that would be collected in the second week is 6 7/8 bags.

How many bags would be collected in the second week?

A mixed number is a number that is made up of an integer and a proper fraction. A proper fraction is a fraction that has a numerator that is less than the denominator. An example of a mixed number is 2 3/4.

In order to determine the number of bags that would be collected in the second week, multiply 2 3/4 by 2 1/2. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Number of bags collected in the second week = 2 3/4 x 2 1/2

11/4 x 5/2 = 55/8 = 6 7/8 bags

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

#SPJ1

Other Questions
T/F The purpose of a hypothesis is to predict the potential outcome of your research experiment. here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card? aImpossible bUnlikely cAs likely as not dLikely eCertain If PQRS is a kite, find m angle Q Lisa is going on a 3 3/4 mile hike. She has already hiked 1 1/4 miles. How many more miles does she have left to hike? What are theCivic duties of American citizens and need to rank from least important to very important what is 10 to the 100th power who were the leaders for each side in the amiens offensive Who is your favourite celebrity?Mine is Doja Cat! The Digestive and Excretory Systems Assignment Active Describing Peristalsis What is peristalsis and where does it occur? Solve the inequality for v.5v-9> 66 How can I factorise expressions 70 pointsss for the correct answer When the function f(x) is divided by 4x5, the quotient is 3x^2 x+3 and the remainder is 2. Find the function f(x) and write the result in standard form. After the Industrial Revolution goods were produced by_____________MachinesAnimalsPeopleCooking need help ASAP! please answer Use the chart to answer the question.?Farming technology replaced the need for manpower G.I. Bill gave opportunities to veterans that they did not have beforethe war Urban areas had more job opportunities than the rural areasWhat is the BEST title for the descriptions?A. Reasons for the Great Migration Before World War IB. Reasons Georgians Moved to the Urban Areas After World War IIC. Reasons Georgians Moved to the Rural Areas Before World War IID. Reasons for the Decline of Industry in Georgia After World War I Silver nitrate reacts with calcium chloride asshown.2 AgNO3 + CaCl2 2 AgCl + Ca(NO3)2How many grams of CaCl2 would be required to completely react with 420 mL of0.506 M AgNO3 solution?Answer in units of grams. Multiply and simplify. Plz show work!(3x 2)(5x^2 7x + 2) A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.What is the difference in volume between the prism and the storage container? In a hostel, 120 students consume 2160 kg of rice per month. How much rice will be consumed by 80 students in a month? Which transition would you use if you wanted your reader to understand that one idea should be emphasized over another?A. above all elseB. as a ruleC. for instanceD. first of all