A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.

Answers

Answer 1

Answer:

Population after 6 hours is 2.44 *10^12

Step-by-step explanation:

The geometric population growth formula is

[tex]P = P_0 * e^{kt}[/tex]

Substituting the given values in above equation we get

[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]

Population after 6 hours is 2.44 *10^12


Related Questions

plz help me pls
8 hr = _________ min

30 min = _________ s

15 hr = ___________ min

5 yr = ____________d

7 d = ____________ hr

24 hr = __________ min

600 s = __________ min

60,000 min = __________ hr

Answers

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

Gina is four years younger
than twice David's age. Gina
is 18. How old is David?

Answers

Answer:

44

Step-by-step explanation:

Gina is four years younger so

18+4=22

since its twice davids age

22×2=44

30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?

Answers

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

Which value of x satisfies the inequality below?

13< x

Answers

Answer:

20

Step-by-step explanation:

since the sign is pointing to the "greater number"

any number over 13 is fine

The value of x can be 14, 15, .... and so on.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write  Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

13< x

So, we have to choose the value which are greater than 13.

The value of x cannot be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.

Thus, the value of x can be satisfies by 14, 15, .... and so on.

Learn more about Inequality here:

https://brainly.com/question/28823603

#SPJ2

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Answers

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:7

Step-by-step explanation:

Answer:

I shall help

Step-by-step explanation:

11. The answer is 96 because 12 times 8 is 96

12. The answer is B.

13. The answer is also B because you need to count. BIG BRAIN

14 The answer is 8.

Next time please think a little harder

BRain;liest pls

Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)

Answers

Answer:

Step-by-step explanation:

The hypotenuse is 200 meters.

The angle making the ground and the Hypotenuse is 7 degrees.

The trig relationship needed is the cosine.

Cos(7) = x / 200        Multiply both sides by 200

200*cos(7) = x

200* 0.9925 = x

x = 198.51

The calculator held the actual answer of cos(7)

A triangle has one angle that measures 100 degrees. If the other two
angles are isosceles, what is the measure of these two angles? (Have to submit In 15 minutes)

Answers

Answer:

40

Step-by-step explanation:

180 -100 = 80

80/2 = 40

write the expressions for when you translate the graph of y = |x+2| a) one unit up b) one unit down c) one unit to the left d) one unit to the right

Answers

Hello!

This question is about which values you are changing when you are transforming an equation.

Let's go through the parent function for an absolute value equation and its various transformations.

[tex]y=a|b(x-c)|+d[/tex]

Since we are only looking at horizontal and vertical transformations, we only need to worry about the c and d values.

The c value of a function determines a function's horizontal position, and the d value of a function determines a function's vertical position.

One thing to note here is that the c value is being subtracted from the x value, meaning that if the function is being transformed to the right, you would actually be subtracting that value, while the d value behaves like a normal value, if it is being added, the function is transformed up, and vice versa.

Now that we know this, let's write each expression.

a) [tex]y=|x+2|+1[/tex]

b) [tex]y=|x+2|-1[/tex]

c) [tex]y=|x+3|[/tex]

d) [tex]y=|x+1|[/tex]

Hope this helps!


Which is the expected value of the random variable with given probability distribution ?

Answers

Answer:

Step-by-step explanation:

Let X be the RV we are talking about.

Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.

Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.

Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.

Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.

In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,

If X is a discrete RV and the values X could take is finite,

if X is a continuous RV,

Please find the missing angle of this Shape.

Answers

The answer is x= 60 degrees

URGENT Question HELP FAST!!!!!

Answers

Answer:

8100 cubic ft

Step-by-step explanation:

[tex]v = l \times w \times h \\v = 75 \times 9 \times 12 \\ \\ v = 8100 [/tex]

Answer: 891 feet cubed

Step-by-step explanation:

Which of the following shows a group of possible angles a triangle could have?

A. 10 degrees, 20 degrees, 190 degrees
B. 30 degrees, 60 degrees, 60 degrees,
C. 60 degrees, 90 degrees, 90 degrees
D. 50 degrees, 60 degrees, 70 degrees

Answers

Answer:

D) 50, 60, 70

Step-by-step explanation:

The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.

50+60+70= 180 degrees

Hope this helps

Find M please in this Geometry question.

Answers

Answer:

m = 8

Step-by-step explanation:

As we can see we have two similar triangles

These are triangles FDH and GEF

mathematically, when two triangles are similar, the ratio of their corresponding sides are equal;

Thus;

DH/DF = EG/EF

12/15 = m/10

15 * m = 12 * 10

15 m = 120

m = 120/15

m = 8

Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *

Answers

Answer:

$135

Step-by-step explanation:

She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.

you can combine radical expression by adding or subtracting if they have the same index and radicand. True or false

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Two of the radicals have the same index and radicand, so they can be combined. Rewrite the expression so that like radicals are next to each other. Combine. Although the indices of and are the same, the radicands are not—so they cannot be combined.

I need help please!!!!

Answers

Answer:

Step-by-step explanation:

Maybe A Emma,  but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws  :/

N + 6 < -1 what is the solution to the inequality

Answers

Answer:

N<-7 or (-∞,-7) hope this helps

10. The figure is a rectangle. What is x?
28

Answers

Answer:

152

Step-by-step explanation:

180 minus 28 is 152 degrees

What percent of 134 is 66? (To the nearest tenth of a percen t)

Answers

Answer: 49.25

Step-by-step explanation:

Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.

Answers

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5

question number.4
help me plss ​

Answers

Answer:

C

Step-by-step explanation:

65%=65/100

=0.65

This is the required answer.

answer:B. po ata i'm not sure

Gary took a trip to bikini bottom. He recorded his progress along the way in the following table

Answers

Where is the table?

                                                                                             

find the gradient of the line segement between the points (0,-6) and (2,-16)

Answers

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Solve the following equation for x.

x2+19x+18=8x
Enter one solution in the first box. If there are two solutions, enter the second solution in the second box.

x =

x =

Answers

Answer:

=−2

=−9

Step-by-step explanation:

The harper family budgeted 37% of their income of $53000 for taxes. How much did they budget for taxes?

Answers

Answer: $19,610

Step-by-step explanation:

53000(.37)=19610


Ben deposited $10,000 into
each of two savings accounts.
Account I 4% Compounded Annually
Account II 3% Compounded Annually
Ben does not make any more deposits
or withdrawals. How much more money
will be in account I than account II at
the end of 3 years?


I’LL MARK BRAINLIST!!

(There isn’t any answer choices it’s a puzzle game)

Answers

Answer:did you get the answer tho

Step-by-step explanation:

Plz help me out thanks

Answers

Answer:

360 cubic units

Step-by-step explanation:

height = 4 units

length = 10 units

breadth = 6 units

Volume of a cuboid = l × b × h

V = 10 × 6 × 4

V = 10 × 24

V = 240 cubic units

Now a scale factor of 1.5 units is applied to the dimensions,

new volume = 240 × 1.5 = 360

∴ New volume of the prism = 360 cubic units

Answer:

240 cubic units

Step-by-step explanation:

Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?

Answers

Answer:

52 / 1,560

Step-by-step explanation:

18 / 30

? / 1,560

1,560 / 30 = 52

52 / 1,560

BRAINLY TO WHOEVER HELPS

Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10

Answers

Answer:

A, C and D

Step-by-step explanation:

B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go

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