(PLZ NEED HELP) The doubling time of a bacterial population is 10 minutes. After 80 minutes, the bacterial population was 80000. _____
Using your rounded answer for the initial population above (do not round your growth rate), find the size of the bacterial population after 5 hours.____

Answers

Answer 1

Answer:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]

Step-by-step explanation:

Let initial population = [tex]x[/tex]

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = [tex]2x[/tex]

Population after 20 minutes = [tex]2^{2} x[/tex]

:

:

Population after 80 minutes = [tex]2^{8} x[/tex] and it is given as 80000.

[tex]\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313[/tex]

So, initial population is 312.5 = ~313

To find, population after 5 hours i.e. 5 [tex]\times[/tex] 60 = 300 minutes

Population after 300 minutes =

[tex]2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}[/tex]

So, the answers are:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]


Related Questions

I need explanation and help me plz !!!!

Answers

Answer:

52

Step-by-step explanation:

There are a total of 380+240+110 people. (730)

0.52 are in stage 3.

0.33 in stage 2.

0.15 in stage 1.

52 people from stage 3 should be in the group.

What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42

Answers

Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

the area of an equilateral triangle by 3√3 sq. meter when the length of each side increases by 1 meter. find the length of the side of the triangle.​

Answers

Answer:

l = ( 2√3 + 1 ) m

Step-by-step explanation:

A = l²√3/4

3√3 = l²√3/4

12√3 = l²√3

l² = √12

l² = √2²·3

l = 2√3 m

when the length of each side increases by 1 meter

l = ( 2√3 + 1 ) m

Answer:

5.5 m

Step-by-step explanation:

note: it is assumed that the area increased by 3√3 sq. meter when length of each side increases by 1 meter

The area of equilateral triangle formula:

A=√3/4a²

increased area:

√3/4(a+1)²= A + 3√3

√3/4a²+3√3= √3/4(a+1)²      =========   (× 4/√3 each side)a²+12=a²+2a+12a=12-1a=11/2 ma=5.5 m

Find the y-intercept of the following equation. Simplify your answer.

y = –3x − 1


y-intercept =

Answers

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

on the y- intercept the value of x is zero

How many seconds are in one day?

Answers

Answer: 86,400 seconds

Answer:

86,400

Step-by-step explanation:

there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400

// have a great day //

Can someone help me please

Answers

Answer:

so the answer is the third one

Please help! Correct answer only, please! The answer isn't C. Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D.

Answers

Answer:

 | -6      0    |

  |  12   21   |

Step-by-step explanation:

When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar

3  | -2  0  |

   |  4   7   |

becomes

 | -6  0  |

  |  12   21   |

Answer:

Solution : C

Step-by-step explanation:

This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.

[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]

Simplifying each element, we receive the following matrix,

[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c

how many squares would have to be shaded so that 1/6 of the shape is shaded?

Answers

Answer:

3 squares

Step-by-step explanation:

The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.

The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

15. If the point (5,k) lies on the line represented by the equation 2x + y = 9, the value of k is....

C) -1
D) -2
A and B where wrong. 15 points for whomever answers correctly

Answers

Answer:

The answer is C.

Step-by-step explanation:

Given that (5,k) lies on the line that has the equation of 2x + y = 9. So in order to find k, you have to substitute the coordinates into the equation :

[tex]2x + y = 9[/tex]

Let x = 5,

Let y = k,

[tex]2(5) + k = 9[/tex]

[tex]10 + k = 9[/tex]

[tex]k = 9 - 10[/tex]

[tex]k = - 1[/tex]

A triangle has two sides that have a length of 4 cm.

Which answer choices list possible types of angles for this triangle? Select two that apply.

1 obtuse angle and 2 acute angles with different measures

3 obtuse angles with different measures

1 right angle and 2 acute angles with different measures

1 right angle and 2 acute angles with the same measure

1 obtuse angle and 2 acute angles with the same measure

3 acute angles with different measures

Answers

Answer:

3 acute angles with different measures and 1 right angle and 2 acute angles with same measures

1.£500 is deposited in a bank paying 2% compound interest per annum. What is the balance after 2 years?
2.£400 is deposited in a bank paying 1.75% compound interest per annum. What is the balance after 2 years?
3.£800 is deposited in a bank paying 7% compound interest per annum. What is the balance after 2 years?
4.£700 is deposited in a bank paying 4.75% compound interest per annum. What is the balance after 6 years?
5.£4600 is deposited in a bank paying 3.75% compound interest per annum. What is the balance after 5 years?
6.£6000 is deposited in a bank paying 13% compound interest per annum. What is the balance after 4 years?
7.£200 is deposited in a bank paying 0.75% compound interest per annum. What is the balance after 2 years?
8.£7100 is deposited in a bank paying 15.75% compound interest per annum. What is the balance after 13 years?
9.£6600 is deposited in a bank paying 16.75% compound interest per annum. What is the balance after 15 years?
10.£8600 is deposited in a bank paying 15% compound interest per annum. What is the balance after 17 years?

Answers

Formula for compound interest: A = P( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

^ = I used this symbol to present that a the number needs to go higher (see picture)

1. 500(1 + 2/100)^2 = 520.2

£520.20

2. 400(1 + 1.75/100)^2 = 414.12

£414.12

What is the product of: 2x(x-3) expressed as a sum or difference of terms

Answers

Answer:

2x^2 - 6x

Step-by-step explanation:

2x(x-3)

Distribute

2x*x -3*2x

2x^2 - 6x

For what values of m does the graph of y = mx?- 5x-2 have no
5x - 2 have no x-intercepts?​

Answers

Answer:

no

Step-by-step explanation:

It does.

5x-2=0

5x=2

x=2/5

(2/5, 0)

is an x-intercept

Answer:

m<-25/

Step-by-step explanation:

Which of the following fractions is not equivalent to 2?
3
6
0 10
IN
4.

Answers

Answer they are all equivalent

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha[/tex]

Which expression is equivalent to 81^1/3?
33/3
3133
9313
273/3​

Answers

Answer: 3 3√3

Step-by-step explanation:

81^1/3

=3√81

= 3 3√3

The roots of a certain quadratic equation is 1 and 2/3. Determine the equation

Answers

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0

Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list

Answers

Answer:

Given below

Range: 9

Mean: 16

Hope it helps:)

Step-by-step explanation:

The data is given in the question

Range-

All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:

Range = Maximum Value–Minimum Value

= 21- 12

= 9

Mean-

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:

Sum of term/ number of terms = mean

= 17+21+14+17+12+15+16/7

= 112/7

= 16

The range and the mean of the given data are 9 and 16 respectively.

What is range?

The range is the difference between the smallest and highest numbers in a list or set.

Given that, a data 17, 21, 14, 17, 12, 15, 16,

a) Range = The difference between the lowest and highest values

= 21-12

= 9

b) Mean = (sum of all data)/(number of data)

=  (17+ 21+ 14+ 17+ 12+ 15+ 16)/7

= 112/7

= 16

Hence, The range and the mean of the given data are 9 and 16 respectively.

For more references on range, click;

https://brainly.com/question/28135761

#SPJ5

Tim has to cover 3 tanks completley with paint. ​

Answers

answer:

Total surface area of 3 tanks=34.3 m^27 tins of paint are required.

Solution,

diameter of tank=1.4 m

Height of tank=1.9 m

Given tank has top and bottom

Now, The total surface area of cylinder tank is given by:

[tex]tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h[/tex]

r( radius of tank)=

[tex] \frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m[/tex]

h(height of tank)=1.9 m

TSA of 1 tank

=

[tex]2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2} [/tex]

TSA Of 3 tanks

=

[tex]3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2} [/tex]

Given a tin of plate covers 5m^2 area.

No.of tins required:

1 tin 5m^2

x tin 34.3 m^2

[tex]5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins[/tex]

therefore 7 tins are required.

Hope this helps...

Good luck on your assignment....

Can anybody help with this one?

Answers

Answer: (-2,2)

see below

Step-by-step explanation:

Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42

Round to the nearest tenth place. The mean is

Answers

Step-by-step explanation:

work is shown and pictured

plz work out how you got the answer Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. In how many days will she do both classes and go to the library? *

Answers

Answer:

36

Step-by-step explanation:

if im wrong im sorry u add all of them up

simplify −3x^3(−2x^2+4x−3)

Answers

Answer:

Step-by-step explanation:

6x^5 - 12x^4 + 9x^3

(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)

Which of the following reasons can be used to justify statement #4 in the proof?
A SAS
B the transitive property
C the reflexive property
D CPCTC​

Answers

Answer:

D.

Step-by-step explanation:

CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.

what is the angle that has 0 degrees called

Answers

Answer:

It is called a zero angle.

A 180 degree angle is called a straight angle.

A ninety degree angle is called a right angle.

please help, i am not good at maths, brainiest will be given

Answers

Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3=    Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

B)

1+2+3+4+5=15

15/5=3

The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?

Answers

Answer:

1.5625g would remain after 30 seconds

Step-by-step explanation:

When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.

More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass

Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.

Since it is just 5 half lives, we can proceed manually

In the first, we shall have 25g left

in the second, we shall have 12.5g left

In the third, we shall have 6.25g left

In fourth, we shall have have 3.125g left

and finally, in the fifth, we shall have 1.5625g

a builder has to fix 3 Walls that have fallen down.He needs 2kg of cement for each wall.How much will he need altogether in kilograms

Answers

Answer: 6 kilograms

Step-by-step explanation:

3 walls * 2 kilograms each = 6 kilograms in total

Graph the equation to solve the system y=x-5 y=x+6

Answers

Answer:

the equations have no solutions

(i.e the graphs are parallel and does not intersect each other)

Step-by-step explanation:

if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.

Which expression is equal to -3b^4(6b^-8)? Assume b=/0

Answers

Answer:

-18 b^-4= -18/b^4

Step-by-step explanation:

-3b^4(6b^-8)

Combine coefficients

-3*6 = -18

Combine exponents since the bases are the same, x^y * x^z = x^(x+z)

b^4 *b^ -8

b^(4+-8)

b^ -4

Put back together

-18 b^-4

We also know that x^-y = 1/x^y

-18/b^4

find the missing number pleasee i really need help


1. 6x - ? = 6

2. 6x - ? = 4x - 10


find the missing number where the ? is at .

Answers

Answer:

1) -1

2) -6.66666666667

Step-by-step explanation:

brainiest pls

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