10) At 9:00 there are exactly 10 bacteria in a dish, and the population doubles every 15 minutes . Pick a time after 10:30 but before 12:00 and determine the number of bacteria in the dish at that time. Show all work supporting your answer.

Answers

Answer 1

Step-by-step explanation:

10 x 2 = 20 (after 15 minutes) 9:15

20 x 2 = 40 (after 30 minutes)

40 x 2 = 80 (after 45 minutes)

80 x 2 = 160 (after 60 minutes) - 10:00

160 x 2 = 320 (after 75 minutes)

320 x 2 = 640 (after 90 minutes)

640 x 2 = 1280 (after 105 minutes) - 10:40

There will be 1280 bacteria in the dish at 10:40.


Related Questions

10 POINTS BOIII
What is the slope of the line on the graph? P.S it's supposed to be a number.

Answers

Answer:

1/2

Step-by-step explanation:

4y + 9 = - 4y - 7. Please explain to me how to do it.

Answers

You want to keep the variable on the left and number on right.

So, we need to get rid of 9 and -4y. Let's start with 9.

4y+9=-4y-7

Subtract nine from both sides.

4y=-4y-16

Now add 4y on both sides.

8y=-16

Finally, divide both sides by 8 to get y=-?.

8y/8=-16/8

Therefore, the answer is y=-2.

f(x) = 10x – 4
What is the inverse for this?

Answers

Answer:

Step-by-step explanation:

f(x) = 10x – 4  

10x = f(x)+4

x = f(x)/10 + 2/5

the inverse is y = x/10 + 2/5

3. Noah is helping to collect the entry fees at his school's sports game. Student entry
costs $2.75 each and adult entry costs $5.25 each. At the end of the game, Diego
collected $281.25.
Select all equations that could represent the relationship between the number of
students, s, the number of adults, a, and the dollar amount received at the game.
A. 281.25 – 5.25a = 2.75s
B. a = 53.57 - 13:25
C. 281.25 -5.25s = a
D. 281.25 +2.75a = s
E. 281.25 +5.25s = a

Answers

281.25-5.25a=2.75

step by step:

so you divide the total amount by two and you get 140.62

then you divide that by 5.25 and you get 26.78

plug that into a and you get 140.62

then you take the remainder which is 140.62 and you divide that by 2.75

which is 51.13 and that will be your number for s

and at the end you should get the remainder of 140.62

then you multiply 140.62 by 2 and you get were you started and thats how you check your answer

Select all equations that could represent the relationship between the number of

number ofstudents, s, the number of adults, a, and the dollar amount received at the game.

The equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s

let

student fee = $2.75

Adult fee = $5.25

Total income = $281.25

Number of students = s

Number of adults = a

The equation:

Total income = (student fee × Number of students) + (Adult fee × Number of adults)

281.25 = (2.75 × s) + (5.25 × a)

281.25 = 2.75s + 5.25a

281.25 - 5.25a = 2.75s

A. 281.25 – 5.25a = 2.75s

True

B. a = 53.57 - 13:25

Not true

C. 281.25 -5.25s = a

Not true

D. 281.25 +2.75a = s

Not true

E. 281.25 +5.25s = a

Not true

Therefore, the equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s

Read more:

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Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour

Answers

Answer:

[tex]\frac{1}{12} [/tex] inches per hour .

Step-by-step explanation:

Between 10 pm and 7:45 am there are 9 hours and 45 minutes i.e. [tex]9+\frac{45}{60} =\frac{39}{4}[/tex] hours

The water level in a swimming pool decreased by amount in [tex]\frac{39}{4}[/tex] hours  = [tex]\frac{13}{16}[/tex] inches

The water level in a swimming pool decreased by amount in 1 hour:

 = [tex]\frac{\frac{13}{16}}{\frac{39}{4}}[/tex] inches

 = [tex]\frac{13}{16} \times \frac{4}{39}[/tex] inches

= [tex]\frac{1}{4} \times \frac{1}{3}[/tex] inches

= [tex]\frac{1}{12} [/tex] inches

Hence  it drop by [tex]\frac{1}{12} [/tex] inches  each hour .

How much did it drop each hour is 0.08333 inches/hour

First step is to calculate the Decrease

Decrease = 13/16 inches

Decrease=0.8125 inches

Second step is to calculate the time interval

From 10 pm to  7:45 hours will be 9.45 hours

Time interval= (9 + 45/60) hours

Time interval=9.75 hours

Now let determine How much did it drop each hour

0.8125/9.75 inches/hour

=0.08333 inches/hour

Inconclusion How much did it drop each hour is 0.08333 inches/hour

Learn more here:

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6 hundreds divided by 10=

2 thousands divided by 10=

Answers

Answer:

1. 60 2. 200

Step-by-step explanation:

600÷10= 60

2000÷10=200

Answer:

60 and 200

Step-by-step explanation:

When divideing by 10 you can cancel the zeros from both the numertor and denominator

HURRY PLZZZZ!!!!!!!!!!


The width of a rectangle is 4 more than half the length. If the perimeter of the rectangle is 74, what is the width? Perimeter of rectangle: P = 2l + 2w

i'll give brainliest

Answers

74/4=18.5 is the width

Answer:Width = 15 units .

Step-by-step explanation:

Given  : The width of a rectangle is 4 more than half the length. If the perimeter of the rectangle is 74,

To find : what is the width.

Solution : We have given perimeter of the rectangle is 74,

Let the Length = x .

According to question :

The width of a rectangle is 4 more than half the length.

Width = 4 + [tex]\frac{x}{2}[/tex].

Perimeter = 2 length + 2 width .

Plugging the values,

74 = 2 ( x ) + 2 (4+[tex]\frac{x}{2}[/tex]).

74 = 2x + 8 + x .

Combine like terms

74 = 2x +x + 8.

74 = 3x +8.

On subtracting both sides by 8.

74 -8= 3x .

66 = 3x

On dividing both sides by 3

x = 22.

Width = Width = 4 + [tex]\frac{22}{2}[/tex].

Width = 4 +11.

Width = 15 units .

Therefore, Width = 15 units .

If you're driving at 25 miles per hour through a school zone and a child runs out in front of you, how much distance will
your car cover before stopping?

Answers

Answer:

depending on the car type

probs about 5-10 feet

Step-by-step explanation:

given: f(x)=3 - x; g(x) = -2x find f[g(2)]

Answers

Answer:

7

Step-by-step explanation:

To calculate f(g(2)) evaluate g(2) then evaluate f(x) for this value

g(2) = - 2(2) = - 4, then

f(- 4) = 3 - (- 4) = 3 + 4 = 7

Yara multiplies and divides a certain number by the same
power of 10. The product she gets is 40,000 and the
quotient she gets is 0.000004. Find Yara's number and
the power of 10 she used. Explain your reasoning.

Answers

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

[tex]x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004[/tex]

From the first equation we have:

[tex]10 ^ y = \frac {40,000} {x}[/tex]

Substituting in the second equation:

[tex]\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}[/tex]

We choose the positive value:

[tex]x = 0.4[/tex]

So, the number is 0.4.

So:

[tex]10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5[/tex]

Thus, the exponent is 5.

Answer:

Yara use 0.4 and[tex]10 ^ 5[/tex]

Answer:

0.4 and  10.5

Step-by-step explanation:

Which is bigger 0.305 or 0.350

Answers

Answer:

0.350 is bigger

Step-by-step explanation:

Answer:

0.305

Step-by-step explanation:

When working with decimals, it would be the smaller number that is bigger. .305 is bigger because .305 is 305 points away from 0 and .350 is 350 points away from 0!!

Hope this helps!!!

-Unicorns110504

inverse of y= x-6/x+5

Answers

as you would already know, we start off to gettting any inverse of any expression by doing a quick switcheroo on the variables and then we solve for "y".

[tex]\bf y = \cfrac{x-6}{x+5}\implies \stackrel{\textit{quick switcheroo}}{x = \cfrac{y-6}{y+5}}\implies x(y+5)=y-6\implies xy+5x=y-6 \\\\\\ xy+5x+6=y\implies 5x+6=y-xy\implies 5x+6=\stackrel{\textit{common factor}}{y(1-x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{5x+6}{1-x}=\stackrel{f^{-1}(x)}{y}~\hfill[/tex]

What’s the value of the 3 in 783.97

Answers

3 ones will be the answer to your question

Find the sum or difference in simplest form 1 3/7 + 10 6/7

Answers

Answer:

[tex]12\frac{2}{7}[/tex]

Step-by-step explanation:

we have

[tex]1\frac{3}{7} +10\frac{6}{7}[/tex]

step 1

Convert mixed number to an improper fraction

[tex]1\frac{3}{7}=\frac{1*7+3}{7}=\frac{10}{7}[/tex]  

[tex]10\frac{6}{7}=\frac{10*7+6}{7}=\frac{76}{7}[/tex]

step 2

Substitute in the expression above and find the sum

[tex]\frac{10}{7}+\frac{76}{7}=\frac{86}{7}[/tex]

Convert to mixed number

[tex]\frac{86}{7}=\frac{84}{7}+\frac{2}{7}=12\frac{2}{7}[/tex]

Write an equation that can be used to find the area of any 10 square floor tiles

Answers

5x2 I think I hope you get it right :( sorry if I was wrong

solve the equation. -x/3=27

Answers

Answer:

x=-81

Step-by-step explanation:

Multiply both sides of the equation by 3 to eliminate the fraction on the left side.

[tex]-x/3(3)=27(3)[/tex]

[tex]-x=81[/tex]

Divide both sides by -1 to isolate x on the left side of the equation

[tex]-x/-1=81/-1\\x=-81\\[/tex]

Answer:

x = - 81.

Step-by-step explanation:

Given  : [tex]\frac{-x}{3} = 27[/tex].

To find : solve the equation.

Solution: We have given

[tex]\frac{-x}{3} = 27[/tex].

On multiplying both sides by 3

-x = 27*3.

On dividing both sides by -1.

x = - 81.

Therefore, x = - 81.

PLEASE HELP ME(picture is shown) Set up the equation and find the length of BC

Answers

the answer is 29 i think

Step-by-step explanation:

From the diagram,

AC = AB + BC

BC = AC - AB

BC = 54 - 25 = 29

Starting from the same place, Karina walks due west and Lucas walks due east. On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. All values are given in feet. How many feet apart are Karina and Lucas on the number line? Enter your answer in the box.

Answers

Answer:

The answer is 480

Step-by-step explanation:

y = (x + 3)^2 -4 and identify the axis of symmetry

Answers

Answer:

Step-by-step explanation:

the line for equation : x = - 3

what is the point slope form of a line with slope 3 that contains the point (2, 1)

Answers

Answer:

y - 1 = 3(x - 2)

y - 1 = 3x - 6

y = 3x - 5

Answer:

The point slope form of the line is y-1=3(x-2).

Step-by-step explanation:

If a line passes through a points [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]              .... (1)

where, m is slope.

It is given that the slope of a line is 3 and it passes through the point (2,1).

Substitute m=3, [tex]x_1=2\text{ and } y_1=1[/tex] in equation (1), to find the point slope form of the line.

[tex]y-(1)=(3)(x-(2))[/tex]

[tex]y-1=3(x-2)[/tex]

Therefore the point slope form of the line is y-1=3(x-2).

If two planes are perpendicular to the same line, then

.


A. they form a straight line
B. they are perpendicular to each other
C. they are parallel
D. not enough information

Answers

Answer:

option c) they are parallel !!

Step-by-step explanation:

If two lines are perpendicular to the same line that is they both make 90° with the same line have difference in their angle 0° with respect to the same line , and line having difference in their angle as 0° are parallel to each other !

What is the degree of the polynomial 5a^6bc^2+8d^5+7e^6f^2-10g^4h^7

Answers

Final answer:

The degree of the polynomial 5a⁶bc²+8d⁵+7e⁶f²-10g⁴h⁷ is 11, determined by the highest sum of exponents in any term of the polynomial, which is found in the term -10g⁴h⁷.

Explanation:

The degree of a polynomial is the highest exponent of its variables when it is expressed in standard form. To find the degree of the given polynomial 5a⁶bc²+8d⁵+7e⁶f²-10g⁴h⁷, we look at each term individually and sum the exponents of the variables within that term. The terms of the polynomial are:

5a⁶bc² with a degree of 6 + 1 + 2 = 9

8d⁵ with a degree of 5

7e⁶f² with a degree of 6 + 2 = 8

-10g⁴h⁷ with a degree of 4 + 7 = 11

Comparing the sums of the exponents, we see that the term -10g⁴h⁷ has the highest sum which is 11. Therefore, the degree of the given polynomial is 11.

Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value of $13.10. The number of quarters was 15 more than 3 times the number of dimes. How many quarters and how many dimes did Peter have?

it wont give me the answer.. i have to pay for it, and my homework is due in 3 hours...HELP?

Answers

Answer: Dimes: 11

Quarters: 48

Step-by-step explanation:

48/4= 12.00

11•0.10= 1.10

12+1.10= 13.10

Which two numbers are 4 units away from -1

Answers

The two numbers are 3 and -5. Let's start with 3. To get three, add 4 to -1. That means, going 4 to the right on a number line. When you do so, you will end up with 3. Since adding always go up.

Let's move onto -5 now. For this, go 4 to the left. Subtracting from negative numbers will be negative numbers. Since subtracting is going down, you go down on the number line.

Therefore, 3 and -5 is the answer!

Explaining channel:

Type HWsolver-Brainly. It should pop up at the bottom with a person thumbs up.

The two numbers that are 4 units away from -1 are -5 and 3.

What is a number line?

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

Now the given integer is, -1.

To find the numbers that are 4 units away we need to subtract and add 4 to get the required number.

So, 4 units forward from -1 is,

-1 + 4 = 3

And 4 units backward from -1 is,

-1 - 4 = -5

So the two numbers we get are 3 and -5.

Thus, the two numbers that are 4 units away from -1 are -5 and 3.

To learn more about number line:

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#SPJ2

the sum of two numbers is 84. The first is 9 more than 4 times the second. Find the numbers.

Answers

Answer:

69 and 15

Step-by-step explanation:

Second number=x

First number 4x+9

4x+9 +x = 84

5x+9=84

5x=75

x=15

15*4=60      

60+9=69

69+15=84

The diameter of a circle is 5 kilometers. What is the area?

Answers

Answer:

[tex]\large\boxed{A=6.25\pi\ km^2\approx19.625\ km^2}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have the length of a diameter d = 5 km

We know: d = 2r. Therefor r = 5km : 2 = 2.5 km.

Substitute:

[tex]A=\pi(2.5)^2=6.25\pi\ km^2[/tex]

If you want an approximation, then

[tex]\pi\approx3.14\to A\approx(6.25)(3.14)=19.625\ km^2[/tex]

Hey!

-----------------------------

Formula: A = πr²

Diameter: d / 2 = r

-----------------------------

Solution:

A = (3.14)(2.5)²

A = (3.14)(6.25)

A = 19.625km.

-----------------------------

Answer:

The area of the circle is 19.625km. or 6.25π km.

-----------------------------

Hope This Helped! Good Luck!

For the function f(x) = 6x - 8, identify the values of f(o), f(1/2), and f(-2).
O 8; -5; 4
O -8; -11; -20
O 8; -11; 4
© -8; 15; -20

Answers

Answer:

-8, -5, -20.

Step-by-step explanation:

f(0) = 6(0) - 8  = -8

f(1/2) = 6(1/2) - 8 = -5

f(-2) = 6(-2) - 8 = -20.

[tex]\text{Hello there!}\\\\\text{You're plugging in the values 0, 0.5, and -2 to x}\\\\\text{Plug them into the equation:}\,\,f(x) = 6x - 8\\\\\text{Solve:}\\\\f(x) = 6(0) - 8\\\\\boxed{f(x)=-8}\\\\f(x) = 6(0.5) - 8\\\\f(x) = 3 - 8\\\\\boxed{f(x)=-5}\\\\f(x) = 6(-2) - 8\\\\f(x)=-12-8\\\\\boxed{f(x)=-20}\\\\\text{Those three solutions will be your answer}\\\\\large\boxed{\text{Answer:}\,\,-8;-5;-20}[/tex]

simplify the given expression

expression:1

9(2+ 7f)


expression:2

6•7-3^2•9+4^3


show your work

Answers

Answer:

Expression: 1 ⇒ 18 + 63 f

Expression: 2 ⇒ 25

Step-by-step explanation:

* Lets revise at first the order of operations

- The order of these operations is:

# Parenthesis

# Exponents

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

- There is a word made from the first letter of each operation

  PEMDAS to remember the order of operations

* Lets solve the problem

# Expression: 1

∵ 9(2 + 7 f)

- To simplify this expression multiply the bracket by 9

∵ 9(2 + 7 f) = 9 × 2 + 7 f × 9

∵ 9 × 2 = 18

∵ 7 f × 9 = 63 f

∴ 9(2 + 7 f) = 18 + 63 f

* Expression: 1 ⇒ 18 + 63 f

# Expression: 2

∵ 6 × 7 - 3² × 9 + 4³

- At first simplify exponent

∵ 3² = 9 and 4³ = 64

∴ 6 × 7 - 3² × 9 + 4³ = 6 × 7 - 9 × 9 + 64

- Solve the multiplication first

∵ 6 × 7 = 42

∵ 9 × 9 = 81

∴ 6 × 7 - 3² × 9 + 4³ = 42 - 81 + 64

- Solve 42 - 81 first because it comes first from left to right

∵ 42 - 81 = - 39

∴ 6 × 7 - 3² × 9 + 4³ = - 39 + 64

- Add them

∵ - 39 + 64 = 25

∴ 6 × 7 - 3² × 9 + 4³ = 25

* Expression: 2 ⇒ 25

what is the gcf of 25 and 14

Answers

the gcf of 25 and 14 would be 2
The gcf of 25 and 14 is 1

Factors of 14: 1,2,7,14
Factors of 25: 1,5,25
Hope this helps

A 5-pound bag of apples costs $3.50. Use this rate to complete the table to identify equivalent ratios, then answer the questions. Pounds 5 15 Cost ($) 0.70 3.50 7 Apples cost $ per pound.

Are my answers correct?

Answers

Answer:

1lb to $0.70, 5lb to $3.50, 10lb to $7, 15lb to $10.50

Step-by-step explanation:

Turn your ratios into fractions and place them near each other. you multiply across then divide with the remaining number.

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