The number of bacteria in a Petri dish grows by 10 percent every hour. After the growth, about 100 bacteria die. Suppose there are 500 bacteria, how many bacteria are alive after 1 hour

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The sum to infinity of a GP is

[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1

where a is the first term and r the common ratio

Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus

[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

1-1/2+1/4.....

[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]

Answer:

f(x) = (x - 6)/(3/2)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

298.15

Step-by-step explanation:

Answer:

1. $300

2. $6,5

3. 6 %

4. 15 pieces

Step-by-step explanation:

hope this helps :)

Answer:

A = -3

B = 5

Proof:

A ⇒ -3+5 = 2

B ⇒ 3+2 = 5

Answer:

7=A 6=B

Step-by-step explanation: 37+25=62

Answer:

The answer is c

Step-by-step explanation:

Answer:

Solve for each exponent.

3^4 is 81.

3^7 is 2187.

So the fraction is 81/2187.

Now we need to simplify it.

That's 1/27.

C is the correct answer to the problem.

Answer:

$24,970

Step-by-step explanation:

22,000+(99,000•0.03)=22,000+2,970=24,970

Answer:

It's 3

Step-by-step explanation:

Bc it's placed before and it's multiplying the variable in the algebraic expression

Answer:

picture of answer on edge 2023.

Step-by-step explanation:

Answer:

463,800

Step-by-step explanation:

:) watch this be wrong lol

Answer:

the answer would be 6.50

Step-by-step explanation:

unit price is the price for 1 pound in this example, to find it you have to divide 29.25 by 4.5 which would give you 6.50, hope this helps!

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

135 meters

Step-by-step explanation:

Answer:

y = -1/2x + 9

Step-by-step explanation:

y - 7 = -1/2(x - 4)

y - 7 = -1/2x + 2

y = -1/2x + 2 + 7

y = -1/2x + 9

Answer:

origen es la respuesta a ambas preguntas

Answer:

1)origen

2)origen

Step-by-step explanation:

have a good day

Answer:

can you re-upload the picture its blurry

Step-by-step explanation:

Answer:

y=12/10-15.6

Step-by-step explanation:

The slope of the line is [tex]-\frac{6}{5}[/tex].

To understand more, check below explanation.

The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,

                    [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that , points are (-8, -6) and (-18, 6)

So that,

               [tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]

Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].

Learn more about the slope of line here:

https://brainly.com/question/3493733

27=-4x+11

27-11= 16

16/-4= -4

x=-4

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 27=-4x+11}\\\text {After: -4x+11=27}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 11}}[/tex]

[tex]\text {-4x+11-11=27-11}[/tex]

[tex]\text {Your New Problem Is: -4x=16}[/tex]

[tex]\text {\underline {The Final Step Is to Divide -4}}[/tex]

[tex]\text {-4x/-4=16/-4}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

7x

Step-by-step explanations:

4x + 3x

7x

Answer:

Yes, 10227 is a rational number

Step-by-step explanation:

10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable

Answer:

Step-by-step explanation:

We don't know the first price?

Answer:

He bought 12 books.

Step-by-step explanation:

Here is your equation: 6 b+3=75

Step 1- Subtract 3 from both sides: 6 b+3-3=75-3

6 b=72

Step 2- Divide by 6: 6 b/6=72/6

b = 12 books in total.

Answer:

33

Step-by-step explanation:

You have to do the problem in the brackets and then multiply by 3

Answer:

33

Step-by-step explanation:

{(3+5)x2-5}x3

{8x2-5}x3

{16-5}x3

{11}x3

33

Answer:

Equation A: x = -1 and y = 3

Equation B: x = 12 and y = 16

Step-by-step explanation:

In the complex numbers (a + bi) and (x + yi)

Equation A

∵ (x + yi) + (4 – 7i) = 3 – 4i

∴ (x + 4) + (y - 7)i = 3 - 4i

→ Compare the real parts and compare the imaginary parts

∴ x + 4 = 3 and y - 7 = -4

∵ x + 4 = 3

→ Subtract 4 from both sides

∴ x + 4 - 4 = 3 - 4

∴ x = -1

∵ y - 7 = -4

→ Add 7 to both sides

∴ y - 7 + 7 = -4 + 7

∴ y = 3

Equation B

∵ (x + yi) - (-6 + 14i) = 18 + 2i

∴ (x - -6) + (y - 14)i = 18 + 2i

→ (-)(-) = (+)

∴ (x + 6) + (y - 14)i = 18 + 2i

→ Compare the real parts and compare the imaginary parts

∴ x + 6 = 18 and y - 14 = 2

∵ x + 6 = 18

→ Subtract 6 from both sides

∴ x + 6 - 6 = 18 - 6

∴ x = 12

∵ y - 14 = 2

→ Add 14 to both sides

∴ y - 14 + 14 = 2 + 14

∴ y = 16

Answer: In equation A,  -1  and  3 .  In equation B,  12  and  16 .

picture below

Step-by-step explanation:

Answer: (-12u+27)

Step-by-step explanation: I distributed the negative 3

Answer:

12

Step-by-step explanation:

Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)

The area of rectangle before and after the 95° degrees rotation about point Q will be same.

The area of a rectangle is the product of its length and width. Mathematically -

Area = length x width

Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'

The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.

Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.

To solve more questions on orientation of shapes, visit the link below-

https://brainly.com/question/20910518

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