A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours

Answer:

See below.

Step-by-step explanation:

7,824/10=782.4

782.4

 |

The 8 is in the tens place. It represents 80.

-hope it helps

Answer:

80

Step-by-step explanation:

7824÷10=782.4

Therfore the 8 is in the tens place meaning that the 8 in this is 80

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

  a[n] = 3×2^(n-1)

__

The 15th term is ...

  a[15] = 3×2^(15-1) = 3×2^14

  a[15] = 49,152

Answer:

38.75

Step-by-step explanation:

Not sure what you mean by ioth but when you add up all the numbers and divide by n, you get 38.75 (hopefully you can round it to whatever you want)

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

Answer:

Multiply both sides of the equation by n/-2.25

Step-by-step explanation:

[tex]\frac{n}{-225}=15.6[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}-2.25[/tex]

[tex]\frac{n\left(-2.25\right)}{-2.25}=15.6\left(-2.25\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]n=-35.1[/tex]

~lenvy~

Answer:

Step-by-step explanation:

To solve this problem, first, you have to isolate the term of n from one side of the equation.

[tex]\sf{\dfrac{n}{-2.25}=15.6 }[/tex]

The only way to solve this is to multiply both sides by -2.25.

[tex]\sf{\dfrac{n(-2.25)}{-2.25}=15.6(-2.25) }[/tex]

After that, you solve.

Multiply the numbers from left to right.

[tex]\sf{15.6(-2.25)=\boxed{\sf{-35.1}}[/tex]

Don't forget to use a variable for your final answer.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

F=8

Step-by-step explanation:

6f=48

Divide each side by 6

f=8

Substiuite

8x6=48??

Yes

Step-by-step explanation:

Simplifying 6f = 48 Solving 6f = 48 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '6'. f = 8 Simplifying f = 8

Answer:

4

Step-by-step explanation:

2a + 2 / a = 4

2a + 2 = 4a

4a - 2a = 2

2a = 2

a = 1

2a² + 2 / a²

a = 1

2(1²) + 2 / 1²

2 + 2 / 1

4

Answer:

Check the last answer...

Step-by-step explanation:

Look at image above...

Answer:

4,650.

Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).

Answer:

100 m

Step-by-step explanation:

Given :

#1) Finding the side length

#2) Calculating perimeter

Answer:

100 m.

Step-by-step explanation:

So the area of a square (or any rectangle) is length (l) x width (w). Additionally, all sides of a square are the same length. So if your area is 625 m sq, then one side length would be the square root of 625, which is 25.

So, as we know that one side length is 25 m, and that the perimeter is all side lengths added together, and that a square has four equal sides,

we can add the four lengths of 25 together: (4)(25) [25+25+25+25].

(4)(25) = 100.

The perimeter of the square is 100 m.  

Check the picture below.

keeping in mind that the difference of the distances of d1 and d2 is always a consistent constant value, as you can see in the left-hand-side of the picture, if we keep on sliding on the hyperbolic line shrinking d2 from being slanted to be horizontal, once we put d1 and d2 on a horizontal line, as you see on the right-hand-side, if we subtract the pink line from the orange line, what's leftover is, yeap, you guessed it.

Answer:

Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Step-by-step explanation:

The question can be answered by either calculation or by graphing.

Calculation:

Set the equation to h = 20 feet and solve with the quadratic equation.

h= 4 + 33t - 16t^2

4 + 33t - 16t^2 = 20

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t - 16 = 0

I find solutions of 0.779 and 1.28 seconds.  

Graphing:

See the attached graph.

The graph shows solutions of 0.783 and 1.28 seconds.

Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Answer:

x = 5

Step-by-step explanation:

-x² + 10x - 25 = 0

x = {-10±√((10²)-(4*-1*-25) / (2*-1)

x = {-10±√(100-100)} / -2

x = {-10)/-2

x = 5

Comprobación:

- (5²) + 10*5 - 25 = 0

-25 + 50 - 25 = 0

Answer:

Ali played on his PSP longer

Step-by-step explanation:

3/4 of an hour is long than 2/3 because 3/4 of an hour is 45 minutes and 2/3 of an hour is 40 minutes and 45 > 40

Step-by-step explanation:

G(-5,4)==========G'(5,4)

Hello!

If we reflect a point over the y-axis, then we change the sign on the x-coordinate of the point.

If we have a point (1, 2) and we reflect it over the y-axis, we now have a point (-1, 2)

So the point's y-coordinate hasn't changed.

Here we have a point

(-5, 4)

Its x-coordinate is -5. Change its sign:

(5, 4)

Remember, the x-axis is horizontal, and the y-axis is vertical.

I can't graph the point, but I can give you some tips.

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

:-)

Answer:

The highest common factor of 30 and 45 is 15.

Step-by-step explanation:

factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)

Greatest common factor is 15

Answer:

15.

Step-by-step explanation:

HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.

     3    30         45

      5    10          15

            2             3

3 × 5 = 15

Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.

A proportion is a fraction of a total amount.

In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.

He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:

P = 6 x $7.00 + $8.00 = $50.00.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

x - 7

Step-by-step explanation:

x + 8 - 15

Subtract 15 - 8 = 7

x  - 7

~Lenvy~

Answer:

Your answer is 4.72

Use the formula:V=πr2h

Answer:

(0, 0) : traveling 0 inches in 0 seconds

(1, 1.5) : traveling 1.5 inches in 1 second

(3, 4.5) : traveling 4.5 inches in 3 seconds

The unit rate is

1.5 inches a second

1.5 / 1 i think thats how you write it

Answer:72

Step-by-step explanation:6 x 12=72

Answer:

x∈[20/3;+∝).

Step-by-step explanation:

3x+10≥30; ⇔ 3x≥20; ⇔ x≥20/3

Hey there!

Let's solve this equation.

5x+3x-4=10

add the x's

8x-4=10

add 4 to both sides

8x=10+4

8x=14

divide both sides by 8

x=14/8

Reduce the fraction;

x=7/4 (improper fraction)

x=1+3/4 (mixed number)

Hence, the equation has 1 solution.

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

i presume it has

Step-by-step explanation:

only 1 solution.

combine like terms & then solve

Answer:

Step 1: 2*5 - 4y = 2

Step 2: 10 - 4y = 2

Step 3: -4y = -8

Step 4: y = 2

Step-by-step explanation:

Answer:

45.57

Step-by-step explanation:

We first need to multiply :)

4 x 3.00 = 12.00

15.00 x 2 = 30.00

Now we add!

12.00 + 30.00 = 42.00

And we multiply one more time to find the answer!!

42 x 0.085 = 3.57

And we now add one more time!!

42.00 + 3.57 = 45.57

The answer will be $45.57. :)

Have an amazing day!!

Please rate and mark brainliest!!

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate is of [tex]\pi = 0.61[/tex], while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2[/tex]

[tex]n = 1015.5[/tex]

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

285.6

Step-by-step explanation:

formula= I=PRT

i=?

p=102

r=5

t=36 months

5=0.05

102(1+(0.05x36)=285.6

Answer:

Step-by-step explanation: 276.9