In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?

Answers

Answer 1

9514 1404 393

Answer:

  19.5 hours

Step-by-step explanation:

The number in the dish at time t (in hours) can be described by ...

  n(t) = 100·2^(t/26)

We want to find t such that ...

  n(t) = 168

  100·2^(t/26) = 168

  2^(t/26) = 1.68 . . . . . . divide by 100

  (t/26)log(2) = log(1.68) . . . . . take logarithms

  t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t

  t ≈ 19.5 . . . hours

It would be about 19.5 hours until there are 168 bacteria.

In A Lab Experiment, 100 Bacteria Are Placed In A Petri Dish. The Conditions Are Such That The Number

Related Questions

Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST

Answers

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
166 m 3
70 m 3
84 m 3
140 m 3

Answers

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

Length l = 4 mWidth w = 5 mHeight h = 7 m

To Determine:

The volume of rectangular prism = V

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

can someone solve a - 3 over 7 s = -8


and a + 24 = -15

STEP BY STEP PLEASE.

Answers

Answer:

a=-39; s=0.75

Step-by-step explanation:

Solve the System of Equations by Substitution.

First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.

a+24=-15 -------> a=-39

Now we know what a is just plug it back into the other equation and get s.

[tex]\frac{a-3}{7s} =-8[/tex]

[tex]\frac{-39-3}{7s} =-8[/tex]

[tex]\frac{-42}{7s} =-8[/tex]

Switch the -8 and 7s

[tex]\frac{-42}{-8} =7s[/tex]

Simplify the fraction

5.25=7s

Divide by 7 to isolate the s

0.75=s

 

Answer:

2)a+24=-15

a=-15-24

a=-39

Step-by-step explanation:

Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________

Answers

Answer:

$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.10

1. The sales tax of a sweater = $1.2

2. The sales tax of a purse = $2.25

3. The sales tax of a bicycle =  $8.4

4. The sales tax of a TV = $120

5. The sales tax of a radio = $2.1

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

1. A sweater for $19.99 and a 6% sales tax.

The sales tax of a sweater = 19.99 x 0.06 = $1.2

2. A purse for $45.00 and a 5% sales tax.

The sales tax of a purse = 45 x 0.05 = $2.25

3. A bicycle for $120.00 and a 7% sales tax.

The sales tax of a bicycle = 120 x 0.07 = $8.4

4. A TV for $3000.00 and a 4% sales tax.

The sales tax of a TV = 3000 x 0.04 = $120

5. A radio for $35.00 and a 6% sales tax.

The sales tax of a radio = 35 x 0.06 = $2.1

Therefore, all the required sales tax is given above.

To learn more about the percentage;

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Need help
Hurry!!!!!!!!

Answers

Answer:

sorry

Step-by-step explanation:

Answer: thats soo ez just do it

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

Plsss help meeeeeeeeeeeee

Answers

Answer:

x = 8

y = 14

Step-by-step explanation:

It's given in the question,

ΔABC ≅ ΔDEF

Therefore, by the property of congruence,

EF = BC, AB = ED and AC = FD

And m∠E = m∠B

Since, m∠E = m∠B

(6y - 4) = 80

6y = 80 + 4

6y = 84

y = 14

Since, AB = ED

10 = 3x - y

10 = 3x - 14

3x = 24

x = 8

Please help me with these questions ASAP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

For the first picture: m angle t=36 and m angle v=54

For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180

Step-by-step explanation:

For the first picture, you had to do 2x+3x+90=180

We got the 90 from the right triangle.

Then you combine like terms, which was then 5x=90=180

Then, you subtract the 90 from both side, leaving 5x=90

Divide 90 by 5, which gives you x=18

For both the answers, you had to do 2(18) for T and 3(18) for V

The second picture, you did (8y + 1) + (5y + 5)= 136

You combine like terms, which levas you with 13y + 6 = 136

You subtract 6 from both sides, leaving you with 13y= 130

Divide 130 by 13, which is 10 so y=10

You then replace the y for (8y + 1) to 10 and solve

As well as for (5y + 5), you replace the y with 10 and solve

And m angle QRP is 180 because every triangle has a total of 180 degrees

Hope this helped!

a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how many bacteria will be there in 2 hours?

Answers

Answer:

15,625

Step-by-step explanation:

2h=120m

120/20 = 6

5^6 = 15,625

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

The third side is 36 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

1
What are numbers when Rs 880 is divided in to the ratio of 1/5:1/6​

Answers

Answer:

733.3

Step-by-step explanation:

The number is

880÷1/5:1/6

880÷(1/5×6)

880÷6/5

880×5/6

440×5/3

2200/3

733.3

A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?

Answers

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.

Answers

900 x .47 = 423 girls
The answer is 423

Because 900 divided by 100 is 9 and 9 times 47 is 423

Write a linear function f with f(0)=3 and f(−6)=3.

f(x)=

Answers

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.



The equation of the line of best fit is y = 70.28x + 425.77.

Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?


211

372

496

637

Answers

The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have:

Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.

The line of best fit is:

y  = 70.28x + 425.77

Plug x = 3 in the line of best fit:

y  = 70.28(3) + 425.77

y = 21.084 + 425.77

y = 636.61 minutes ≈ 637 minutes

Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.

Learn more about the line of best fit here:

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2x + 3 = x -4
what is the answer ​

Answers

Answer:

Step 1: Subtract x from both sides.

2x+3−x=x−4−x

x+3=−4

Step 2: Subtract 3 from both sides.

x+3−3=−4−3

x=−7

Answer:

x=−7

what is the answer?​

Answers

Answer:

A S A

Step-by-step explanation:

In ΔACE & ΔBCD,

   ∠A ≅ ∠B      {Given}     Angle

  AC = BC           {Given}    Side

  ∠ACE = BCD    { Reflexive property} Angle

ΔACE ≅ ΔBCD      ------>A S A Property

What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared ? (6 points)

4 y cubed over 5 x to the fourth power
4 y to the fourth power over 5 x cubed
5 x to the fourth power over 4 y cubed
5 x cubed over 4 y to the fourth power

Answers

Answer:

5 x to the fourth power over 4 y cubed

please help!! I'm going to fail!! ​

Answers

B ( the second one)

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.

Answers

Answer:

The equation of a line:

x = 3

The graph of the line is attached below.

Step-by-step explanation:

Given the points

(3, -4)(3, -1)

Finding the slope between (3,-4) and (3,-1)

(x₁, y₁) = (3,-4)

(x₂, y₂) = (3, -1)

Using the slope formula

m = y₂-y₁ / x₂-x₁

    = -1-(-4)) / 3 - 3

    = -1 + 4 / 0

m  = ∞

The slope of the line is undefined, then, by definition, the line would be a vertical line.

As the line that passes through the points (3,-4) and (3,-1)

For a vertical line, the value of x  is the same for each and every value of  y.

Thus, the equation of a line:

x = 3

The graph of the line is attached below.

Help look at picture attached I will mark brainliest

Answers

Answer:

angle 3=145

Step-by-step explanation:

1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35

if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145

How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.

Answers

Answer: m

one set of ordered pair

b

(In that order)

Step-by-step explanation: Took the test just now, your welcome.

which expression is equivalent to 1/4m + 3/4m-3/8(m+1)?​

Answers

Answer:

5/8m - 3/8

Step-by-step explanation:

1/4 m + 3/4 m - 3/8m - 3/8

to combine m’s, change 1/4 to 2/8. And 3/4 to 6/8.

2/8 m + 6/8m - 3/8 m - 3/8

2/8+ 6/8- 3/8= 5/8

5/8m - 3/8

Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34

Answers

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20​

Answers

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

A student is writing a research paper and must include sources from both magazines and books.
The student is required to have at least 15 sources.
• At least 6 sources must be magazines, m.
• No more than 7 sources can be books, b.
Which set of inequalities best represents the constraints on the number of sources for the research paper ?
m2 6
b20
m+bs 15
m>O
m+b 13
m+bs 15
m2 6
0 m + b 2 15
0< ms 6
db27
m+bs 15
No

Answers

B 100% is right answer

A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds.  What is the scuba divers rate of change?

Answers

Answer:

1 foot = 0.7 secs

Step-by-step explanation:

14 seconds divided by 20 feet = 0.7 seconds per foot descended.

Hope this helps and good luck :)


What is the value of x?
A. 20
B. 30
C. 45
D. 60
E. 90

Answers

C.45, a triangle has a total of 180 degrees. Since we know that there is a right angle of 90 degrees, we know that the rest of the two angles must also add up to 90. And since the last two angles are the same angle, what two same numbers add up to 90? 45

The sum of all the angles in a triangle is equal to 180°

Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.

now from the diagram: 90° + 2x° = 180°

Therefore x = 45

Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted

How many mammals were there when they were originally counted?

Enter your answer in the box​

Answers

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The y-intercept.is 75.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Step-by-step explanation:

im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.

Answer this please and fast

Answers

Answer:

The 3rd answer because each income has an outcome.

Step-by-step explanation:

Answer:

4th option is correct.

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