A colony of bacteria is growing at a rate of 50% per hour.


If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours?

1139 bacteria

Answers

Answer 1

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139


Related Questions

Explanation of approximation, decimal place, significant figure

Answers

Answer:

im not an expert in math but i'll do my best:

1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.

2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.

3. significant figure is kind of hard to explain, so i'll jump into the example straight away.

5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.

if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)

lets take a trickier example, 0.064591

in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.

however, 0 can be a significant figure if it's after another number. for instance 0.90672

the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.

sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!

d= sqrt ( 2 )^ 2 +( 12 )^ 2

Answers

Answer:

d = 146

Step-by-step explanation:

Answer:

d=146

Step-by-step explanation:

the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146

y^2 - 19 = 0 find the sum and product

Answers

Answer: Sum of the roots:  √19 - √19 = 0

Product of roots:  (√19)(-√19) = -19

Step-by-step explanation:

y2 - 19 = 0

add 19 to both sides

y2 = 19

take square root of both sides

y = ±√19

So y = √19 or y = -√19

helllppp pleaseeeeee​

Answers

MY ANSWER WITH SOLUTIONS

#CARRYONLEARNINGGUYS

Aneesha determined that the cost of attending her public four-year college in her first year will be $6,220. If the average cost is expected to increase by 6%, what will be the cost of attending her second year in college?
A) $6,226.00
B) $6,257.32
C) $6,593.20
D) $6,820.00

Answers

Answer:

6593.2

Step-by-step explanation:

6,220*1.06 = 6593.2

help please anybody hmm​

Answers

Answer:

18.7°F

Step-by-step explanation:

Difference

High temperature - low temperature

-3.6 - ( -22.3)

-3.6 + 22.3

= 18.7°F

Find the volume of the figure below.

Answers

Answer:

0.6

Step-by-step explanation:

10ft of object and 6ft of ground side

Scientists say we should sleep 3/8 of a day.How about many hours is this

Answers

9 hours because 8 x 3 = 24 and 3 x 3 = 9

what is the range of a parabola that opens down with a vertex at (1,-3)

Answers

Answer:

-3 to -infinity

Step-by-step explanation:

identify all possible answer for the statement below.

Answers

Answer:

it simple there nothing there Step-by-step explanation:

3q+3.97=7.57 please help im stuck on ixl

Answers

Answer:

1.2

Step-by-step explanation:

3q+3.97=7.57

3q=7.57-3.97

3q=3.6

q=3.6/3

q=1.2

Find the area of each figure

Answers

Answer:

flu

Step-by-step explanation:

ugh

what cubed is equal to 1000?

Answers

Answer:

10

Step-by-step explanation:

“write each number as a percent”
6 and 1/2 ( mix number)
Help please

Answers

Answer:

650%

Step-by-step explanation:

Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%

I need help with these three questions I have the question and math problems all in the screenshots please help :)

Answers

Answer:

Screenshot 1 = Option B (5x-1)²

Screenshot 2 = (x+9)(x+9)

Screenshot 3 = Option 3 100x²-20x+1

Step-by-step explanation:

Screenshot 1 -

(5x-1)² = (5x-1)(5x-1)

5x · 5x = 25x²

5x · -1 = -5x

5x · -1 = -5x

(-1) · (-1) = 1

25x²- 5x- 5x + 1 = 25x² - 10x + 1

Screenshot 2 -

(x+9)(x+9)

x · x = x²

x · 9 = 9x

x · 9 = 9x

9 · 9 = 81

x² + 9x + 9x + 81 = x² + 18x + 81

Screenshot 3 -

100x²-20x+1

(10x-1)(10x-1)

10x · 10x = 100x²

10x · (-1) = -10x

10x · (-1) = -10x

(-1) · (-1) = 1

100x² - 10x - 10x + 1 = 100x² - 20x +1

HELP PLS!

I'm studying for UCAT as I want to get into medicine. I don't understand probability diagrams like these, please explain it to me.

Answers

Answer:  80 (choice B)

=========================================================

Explanation:

This is an interesting venn diagram. Each region is either a circle or some kind of arrow shape. The numbers in the regions correspond to the qualities mentioned. For example, the "55" in the circle outside the other arrow regions tells the reader that there are 55 secretaries who are reliable but don't possess any other quality. As another example, the 35 is inside the circle and the left-pointing arrow to tell us that there are 35 people who are reliable and organized.

What we want to find are the values that are in 3 or more regions. There's only two cases when this happens: The 15 and the 65 as they are in the circle, the double arrow, and one of the single pointing arrows. So we have 15+65 = 80 candidates that possess 3 qualities. No person has all four qualities because there isn't a value that's in all four regions at the same time. Or you could note that the left and right pointing arrows do not overlap which is a big clue that there's no way someone could possess all four qualities at once. It might help to trace out the figures using different colors so you can pull apart the four figures.

All the numbers round to 7 except


6.61

7.89

6.58

7.37

Answers

7.89 rounds off to 8
7.89 because it’s closer to 8.00, not 7.00

Crystal's yearly income is $25,000, and the cost
of her rent for the year is $7,500. What fraction
of her yearly income does she spend on rent?
A. 1/4
B. 3/10
C. 2/5
D. 2/7

Answers

I NEED POINTSsssssssss

please help me, tysmm! and no spam or links please it's rlly annoying -_-

Answers

The slope is -2/1.
Rise/Run.
Down 2/ Left 1. Because it’s going down, put a negative.

Oceanside Bike Rental Shop charges a 13 dollars fixed fee plus 7 dollars an hour for
renting a bike. Keith paid 69 dollars to rent a bike. How many hours did he pay to have
the bike checked out? Let h = number of hours bike was checked out

Answers

Answer:

8 hours

Step-by-step explanation:

69-13=56

56/7=8

13+7h=69

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:  

7

8

Therefore, 7/8 simplified to lowest terms is 7/8.

how many number of solutions does 3(x+1)+x+2=2(2x+1)+3 have pls help me out

Answers

Answer:

All real numbers (infinite solutions)

Step-by-step explanation:

To find the number of solutions, first, distribute and combine the like terms of the equation.

3(x+1)+x+2=2(2x+1)+3

3x+3+x+2=4x+2+3

4x+5=4x+5

Since both sides of the equation are equal, the number of solutions are infinite.

Hii I would love if anyone would be able to give me the answer to this <3

Answers

Answer:

×=40

Step-by-step explanation:

The total value of all the angles on any line is 180

so x+(4x-20)=180

40+(4×40-20)=180

Answer:

40°

Step-by-step explanation:

The sum of angles x and (4x - 20) is 180°

x + (4x - 20) = 180

5x = 200

x = 40°

Classify the following triangle

(Chose multiple)

-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right

Answers

Answer:

Scalene

Acute

Obtuse

Step-by-step explanation:

≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°

≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles

= Scalene as all the sides are of different lengths and so are all the angles with different degrees.

= Actue because QPO and PQO are less than 90°, thus they are acute angles

≠ Equiangular because none of the given angles are of the same degree.

= Obtuse as POQ is greater than 90°

≠ Right because the given triangle does not have a right angle

30x - 12y
i need help

Answers

Step-by-step explanation:

if you factor it will be 6(5x-2y)

if you graph the slope will be 5/2

Make x the subject of the formula: y=x^{2} + 5

Answers

First, multiply both sides by (x - 5), so you end up with:

(x-5)y = x + 2

Which can be expanded to give you:

xy - 5y = x + 2

Now add 5y to both sides to obtain:

xy = x + 2 + 5y

Now subtract x from both sides:

xy - x = 2 + 5y

Factorise x out:

x(y - 1) = 2 + 5y

Divide both sides by (y - 1):

x = 2 + 5y/y - 1

There you go, x is now the subject.



y=x−4
y=4x+2

Find x and y

Answers

Answer:

x = -2

y = -6

Step-by-step explanation:

x - 4 = 4x + 2

-4 = 3x + 2

-6 = 3x

x = -2

y = -2 - 4;  y = -6

Which equation represents the line through (0,0) and (3, 4)?

O A. y = x

O B. y = 4x

O C. y = 2

O D. y = 3x

Answers

Answer:

y=4/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-0)/(3-0)

m=4/3

y-y1=m(x-x1)

y-0=4/3(x-0)

y=4/3(x)

y=4/3x

there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed

Answers

Answer:

16%

Step-by-step explanation:

60+90=150 total students

14+10=24 left handed students

24/150= 0.16 or 16% of the population being left handed

Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition

Answers

Answer:

x <= -6.33333

(>= is greater than or equal to)

(<= is less than or equal to)

Step-by-step explanation:

7 - 3(x+5) >= 11

7 - 15 - 3x >= 11

-8 - 3x >= 11

-3x >= 19

x <= 19/-3

x <= -6.33333

please mark brainliest

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Seven less than three times the sum of a number and 5 is at least 11.

The sum of the a number (x) and 5 is given as,

⇒ (x + 5)

Three times the sum of a number and 5 will be given as,

⇒ 3(x + 5)

Seven less than three times the sum of a number and 5 will be

⇒ 3(x + 5) - 7

Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be

3(x + 5) - 7 ≥ 11

Simplify the inequality, then the value of x will be

3(x + 5) ≥ 18

   x + 5 ≥ 6

         x ≥ 1

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

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