A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the
population of the bacteria after thours. Which equation best models the growth of
the bacteria?

Answers

Answer 1

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given.  The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor.  So right away we can say that a = 2300.

Now for the growth factor.  When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently.  So here we're increasing by 11%, or 0.11.  Then the growth factor b is (1 + 0.11), or 1.11.


Related Questions

Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given
to twins per week by their parents. A sample of 26 sets of two-year-old twin boys was taken, and after one week the attention time
received was recorded. The mean was found to be 27.4 hours with a standard deviation of 11,2 hours. Use this information to contruc
a 98% confidence interval for the mean attention time given to all twin boys by their parents, assuming that the population is
approximately normally distributed, Round the endpoints to one decimal place.
Confidence interval:( , )

Answers

Answer:

Confidence interval: (21.9, 32.9).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.485

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours

The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours

Confidence interval: (21.9, 32.9).

Answer these two questions ASAP please, help is appreciated.

Answers

Answer:

B and A

Step-by-step explanation:

Mark the person above me brainliest
(A question needs two answers so the asker can have the brainliest option)
Best of luck

Find the area of this circle. Use 3.14 for 62 in.​

Answers

Good luck hope this helps

Drag and drop number tiles into the boxes to show the median, first quartile (Q1) and third quartile (Q3)
of the data on the dot plot.

Answers

Answer:

Median = 5

Q1 = 2

Q3 = 10

Step-by-step explanation:

✔️On the dot plot, each dot represents a data point.

The median is the middle data point which is the 6th data point on the dot plot.

This:

Median = 5 (6th data point)

✔️Q1 is the middle value of the lower set of data points before the median = the 3rd data point

The 3rd data point is 2

Therefore,

Q1 = 2

✔️Q3 is the middle value of the upper set of data points after the median = the 9th data point.

The 9th data point = 10

Therefore,

Q3 = 10

Answer:9

Step-by-step explanation:

solve the equation
t^3=-343

Answers

Answer:

7

Step-by-step explanation:

t^3=7^3

t=7^3-^3

t=7

Please mark me as brainliest

Answer:

t = -7

Step-by-step explanation:

if you multiply -7 by -7, you get 49. Now if you multiply 49 times -7 you get -343

I have a box that is 5 inches wide 2 inches deep and 4 inches tall I want to fill with sand. how much sand can I fit inside the box?

Answers

Answer:

40

Step-by-step explanation:

5x2 is 10 and 10x4=40

can u help me with this

Answers

Answer:

1/500 = 0.002, 2 and 6/10 = 2.6, 3 and 2/25 = 308%, 0.0025 = 25%

Step-by-step explanation:

Someone please help me, I can't figure this out. I already asked this but I got a file. Please no files, I'm begging, I just want my math answers. Thank you,

(Look in image for question)
(Measurements are 4cm, 10cm, 5cm, 6cm, and 5cm).​

Answers

Answer:

I believe the volume is 120 and the surface area is 124

Step-by-step explanation:

HELP WILL GIVE BRANLIEST!!

Answers

Answer:

the answer is the first option

Solve for angle x help plz​

Answers

Answer:

123 degrees

Step-by-step explanation:

Answer:

123°

Step-by-step explanation:

360 - 114 - 43 - 80 = 123

The country of Freedonia has decided to reduce its carbon dioxide emission by 3 5 %every year. This year the
country issued 40 million tons of carbon dioxide.

Answers

Answer:

Brainliest?

Step-by-step explanation:

The amount after t years 40 millions tons  

Bit by bit clarification:  

Given as :  

The pace of abatement of carbon dioxide one another = 35%  

The amount of carbon dioxide radiated for this present year = 40 million tons  

Let the amount of carbon dioxide discharged after t year = A millions tons  

Presently, According to address  

The amount of carbon dioxide radiated after t year = The amount of carbon dioxide discharged for this present year ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

Or on the other hand, A millions tons = 40 millions tons ×  

So,The amount after t years = A = 40 millions tons  

Consequently The amount after t years 40 million

Primalia knows there are 3 feet in 1 yard. She writes the equation 3= to find the number of yards, , in any number of feet, .

Use the drop-down menus to complete the statements about Primalia's equation.

The word choices for the first part is "greater than" or "less than".
The word choices for the second part is "greater than" or "less than"
The word choices for the third part is "will" or "will not"
The word choices for the fourth part is "3 x f = y", "3 + f = y", "3 x y = f", or "3 + y = f"

Answers

Answer:

Step-by-step explanation:

1. Greater than

2. Greater than

3. will

4. 3 × f = y

Photo used to help with the question is below!! Please answer! Will mark BRAINLIEST!
⬇⬇⬇⬇⬇⬇⬇
Find the measure of AGF.

Answers

Answer:

angle AGF = 55

Step-by-step explanation:

Assumed that this would be a perpendicular because of the 90 degree mark. So did 90 - 35 = 55

need to solve
7y+32;y=9

Answers

Answer:

95

Step-by-step explanation:

Have a great day

geometry question help

Answers

Answer:

m<BCD  is 62 degrees

Step-by-step explanation:

From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;

Hence;

m<CAB = m<CBA

Also

m<CAB + m<CBA = m<BCD

31 + 31 = m<BCD

Swap

m<BCD = 31 + 31

m<BCD  = 62 degrees

hence the measure of m<BCD  is 62 degrees

Please help I’ll mark you brainliest if correct!

Answers

Answer:

89.5

Step-by-step explanation:

Answer:

89.5

................................

Ravi has ridden 44 miles of a bike course. The course is 55 miles long. What percentage of the course has Ravi ridden so far?

Answers

Answer:

80%

Step-by-step explanation:

To find the percent that he has ridden, divide the number of miles he has ridden by the total length of the course

44/55

= 0.8

So, Ravi has ridden 80% of the course

Answer:

80%

Step-by-step explanation:

There are 55 miles 1/5=11 miles so 44 miles=4/5

4/5=80%

Check all that are equivalent to 3(-4a + 5)
A
-12a
B
-12a + 15
C
-12a - -15
D
12a + 15

Answers

The answer or this is B

Answer:

B.) -12a+15

Step-by-step explanation:

Two hundred Dickinson parents were surveyed; 25% prefer year-round school. What fraction represents the number of parents who prefer year-round school?

Answers

1/4 is the fraction for the number of parents who prefer year round school.

GIVING EVERYTHING IF CORRECT. NO MORE LINKS.

Answers

I think the answer is C

I need some help with this,and have this done correctly for brainliest.​

Answers

#5 = 1

Because you have to find x of (-3) and then you find 1.

#6 = 1

The vertical line doesn't represent a function but horizontal line if passed once represents the function.

#7 = 4

You can just plug in the x values into the equation and solve for y and math the answer to the y data.

1) Choice 1, is the correct answer because -3 on the x-axis touches the graph at 6 on the y-axis.

2) Choice 2, is the correct answer. It doesn't pass the horizontal line because it passes through more than one line on the graph. However, it does pass the vertical line test, which only passes through one line and makes this graph a function.

3) Choice 4, is the correct answer. If you use an online graphing tool, you can match up the points on one of these tables. Choice 4 only seems to fit all on these into f(x) = -2x + 6 equation.

Hope this helps :)

An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answers

Answer:

2y is greatest common factor

Add and subtract the second term to the expression and factor by grouping.

2y(x−2)(x2+4) is the factor

Step-by-step explanation:

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

find the distance between the points (-4,5), (-12,5)

Answers

Answer:

d = 8

Step-by-step explanation:

For:

(X1, Y1) = (-4, 5)

(X2, Y2) = (-12, 5)

Distance Equation Solution:

d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√

d=(−8)2+(0)2−−−−−−−−−−√

d=64+0−−−−−√

d=6–√4

d=8

Therefore, the distance between (-4,5), (-12,5) is 8.

315 points)
What is the slope of a line parallel to y =-1/2x+6
A) 1/2
B) 2
C) -1/2
D) -2

Answers

Answer:

The slope is -1/2

Step-by-step explanation:

The Y-intercept is (0,6)

The slope is A sorry if wrong

Find the circumference and area of a circle whose diameter is 14cm​

Answers

Answer:

C≈43.98cm

Step-by-step explanation:

Hhhhhhhhhhhhhhhhhhh

Answer:

Step-by-step explanation:

hello :

the circumference ix : P= 2 pi ×r r : ridus r = diameter/2 = 7 cm

P= 2×3.14×7=43.96 cm

Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.

Answers

Answer:

48 π

Step-by-step explanation:

Area of Circle =πr∧2

Big Circle Area = π(8)∧2 = 64π

Small Circle Area =π(4)∧2= 16π

Shaded Region = 64π - 16π = 48π

A scientist is studying snakes in the tropical rainforest. She surveys a 1 square mile area. She collects the following data:



Based on the evidence provided, what is the most likely explanation for the red snake population size? (SC.5.N.1.1)


The red snakes are not well hidden, so they are eaten by predators often.


The green snakes and the red snakes are in competition for the same food.


The black snakes prey upon the red snakes during certain times of the year.


The red snakes have been killed off by the poisons they produce.

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100 percent

Find the equation for the following parabola. Vertex 0,0. Focus 2,0.

Answers

Answer:

8x

Step-by-step explanation:

Answer:

Hi there! The equation for this parabola is y^2=8x.

Press the button without the slightest hesitation! :)

Step-by-step explanation:

Correct for Acellus! :)

What number is ten more than 100? Write an equation.

Answers

Answer:

10+100=110

Step-by-step explanation:

easy as pie

Answer:

110?

Step-by-step explanation:

If its 10 more (more being addition) than 100 then it should be 110

3. What type of sequence is this?
0,2,5,9,14,...
Arthimetic
Geometric
Neither

Answers

Neither is the correct answer

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