a culture initially contains 200 bacteria . if the number of bacteria doubles every 2 hours , how many bacteria will be in the culture at the end of 12 hours ?

Answers

Answer 1

Answer: The population of the bacteria that doubles every 2 hours and have 200 initial population within 12 hours is 12,800. This is computed by dividing 12 hours by 2 hours, which will give us 6. This means that the bacteria doubled six times. Thus, multiplying 200 by 2 six times, this will give us 12,800.

Answer 2

Answer: So after every 2 hours the bacteria's numbers double (or 100% is "added") so we can simplify 12 down to 6 because we only want the number after every two hours, 400+800+1600+3200+ 6400+ 12800 = 25200 total after 12 hours

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Solve this inequality 8z+3-2z<51

Which of the following is equivalent to the expression below? 9^10*9^x

Answers

Answer:

Step-by-step explanation:

$a^(m)*a^(n)=a^(m+n)\n\n9^(10)*9^(x)=9^(10+x)$

In exponent multiplication, if the bases are same then add the exponents.

$\small \sf \leadsto 9 {}^(10 +x)$

Step-by-step explanation:

Using exponent's product rule

$\small \sf \: x {}^(n) * x {}^(m) = x {}^(n + m)$

$\small \sf \leadsto \: 9 {}^(10) * 9 {}^(x)$

$\small \sf \leadsto 9 {}^(10 + x)$

What is the x-intercept of the line with this equation −2x 12y=18 enter your answer in the box. (?, 0)

Answers

Answer:

x-intercept of the given line is, (-9, 0)

Step-by-step explanation:

x-intercept says that a line crosses the x-axis

Substitute y = 0 and solve for x.

As per the statement:

An equation of line is given as:

$-2x+2y = 18$

To find the x-intercept:

Substitute y = 0 and solve for x:

$-2x+12(0) = 18$

⇒-2x = 18

Divide both sides by -2 we get;

x = -9

Therefore, the x-intercept of the line is, (-9, 0)

I did this test too! The answer was (-9, 0)

Charlie saves 21.45 each month for 6 months in the seventh month he only saves 10.60 how much money will Charlie have saved in 7 months

Answers

If you would like to know how much money will Charlie have in 7 months, you can calculate this using the following steps:

21.45 each month for 6 months: 21.45 * 6 = 128.7
in the seventh month: 10.60

in 7 months: 128.7 + 10.6 = 139.3

The correct result would be 139.3.

What is the circumference of a circle with a 72 centimeter radius

Answers

Answer:

452.39cm^2

Step-by-step explanation:

Answer:

c=452.39cm

-XxanimexX

The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n

Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]

Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]

Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]

Step 4:
0 = −24 − 2n

Step 5:
n = −12

In which step did the student first make an error?

Step 4

Step 3

Step 2

Step 1

Answers

Answer:

Step 3

Step-by-step explanation:

Hello

the student made a mistake in the step number 3.

let´s see

in the step number 1 he multiplied by -3 in order to add this new equation with equiation 2 and then eliminate the terms with m

Step one

-3(m)=-3(8+2n)

-3m= -24 - 6 n, it is ok

in step two he simplified, he did it well.

in the step 3 he added the equations

-3m = -24-6n

3m = 4 +4n

_____________

0 = -20-2n

he did not add properly -24+4, here , he made his first mistake.

step 4 is already wrong

continuing..to find n

0= -20-2n

20=-2n

n=-10

Have a great day

I think the student first made an error on step 1 because why is it multiplied by -3. To be more precise, where did the student get the -3 from?

the cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months costs $660. a permit purchased for 15 months costs $810. what is the administration fee?

Answers

The cost of a parking permit consists of a one-time administration fee plus a monthly fee.
=> a permit purchased for 12 months costs $660.
=> a permit purchased for 15 months costs $810.
let's determine the administration fee.
=> 810 - 660 dolalrs = 150 dollars is added for additional 3 months.
=> 150 / 3 months = 50 pesos per month.
=> 50 * 12 = 600 dollars.
=> 660 dollars - 600 dollars = 60 dollars is the administration fee.

Answer:

✔ D. $60

Step-by-step explanation:

E2021

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