A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.

Answer:

System of equations

160 = 2W + 2L

W = L - 16

Solution to system of equations

W = 32 ft

L = 48 ft

Explanation:

The width is 16 feet less than the length, so the appropriate equation for that is ...

... W = L - 16

Using this expression for W, we can substitute into the equation for perimeter:

... 160 = 2(L - 16) + 2L

... 160 = 4L -32 . . . . . . . collect terms

... 192 = 4L . . . . . . . . . . add 32

... 48 = L . . . . . . . . . . . . divide by 4

... W = 48 -16 = 32 . . . . find W using the relation with L

Length is 48 ft; width is 32 ft.

ive got like 6 more weeks of school left ur so lucky also have a great summer

Answer:

Im pretty sure its 7 but wait for someone else to awnser id.k if i did my math correctly or not lol

Step-by-step explanation:

Answer:

half are 28 or older

Step-by-step explanation:

also, im taking a math test i have the same question on my jupiter and the same amount of questions. could u send me the answers to all the questions if thats possible :) thx sm

The required statement by the details is an option (D) that half of the players are 24 or younger.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
We are given that the mean age of the members of a baseball team is 28 and the median age is 24. We can use this information to eliminate some answer choices.

Option (A) states that more than half of the players are older than 28. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.

Option (B) states that half of the players are 28 or older. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.

Option (C) states that the mode of the data is less than 28. We do not have enough information to determine the mode, so this option could be true or false.

Option (D) states that half of the players are 24 or younger. Since the median age is 24, this option is supported by the data.

Therefore, the best-supported statement by the facts is option (D) that half of the players are 24 or younger.

Learn more about mean here:

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Answer:

Step-by-step explanation:

you know the angle of P to be 180-60 = 120  so convert 120° to radians

120 * [tex]\pi[/tex]/180 = 2[tex]\pi[/tex]/3  I don't see that as a choice for the answers.. maybe it's off the screen?

Answer:

-4 ≤ x < 2

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

9 x 14 = 126/2 = 63

Answer: [tex]V=\frac{1}{3}\pi r^{2}h[/tex]

Step-by-step explanation:

This shape is a cone. Since we are looking for the shape's volume, we use it's volume formula.

Answer:

When the difference in the mean is about 20

Step-by-step explanation:

I did the test

Answer: around 20

Step-by-step explanation:

Answer:

Anas= RS 1200

Ahsan= RS 800

Step-by-step explanation:

Given data

Amount=  Rs 2000

Ration=  6:4

Combined ratio = 6+4= 10

Let us apply the part to all method to solve for the individual amount

For Anas

2000/10= x/6

cross multiply

10x= 2000*6

10x=  12000

x= 12000/10

x= 1200

For Ahsan

2000/10= x/4

cross multiply

10x= 2000*4

10x=  8000

x= 8000/10

x= 800

Answer:

radius would be 14. you get the circumference (87.92) and divide it by pi (3.14) you get 28 which is the diameter and divide it by 2 and you get the radius 14.

Step-by-step explanation:

Answer:

sos i need the points thx

Step-by-step explanation:

Answer:

so in a summary she is going to spend 5 dollars on paper and markers.

so she will have 5 dollars to budget on a pack of stickers.

Answer:

I believe its 17.

Step-by-step explanation:

If you count the dots above 8, 9, 10, 11 and 12 you will get your answer.

Answer:

around 18 units

Step-by-step explanation:

Answer:

f= -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

f(3)=−2

Step 1: Simplify both sides of the equation.

3f=−2

Step 2: Divide both sides by 3.

3f

3

=

−2

3

f=

−2

3

Answer:

f=

−2

3

Answer:

(x−2)^2=16(y+1)

Step-by-step explanation:

The equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The vertex of the parabola = (2, -1)

The focus of the parabola = (2, 3)

As we know, the vertex form of the parabola is given by:

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

(x - 2)² = 4a(y - (-1))

(x - 2)² = 4a(y + 1)

The value of a can be found using the formula:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

(c, d) = (2, 3)

a = √[(2-2)² + (3-(-1))²]

a = √ (3+1)²]

a = 4

(x - 2)² = 4(4)(y + 1)

(x - 2)² = 16(y + 1)

Thus, the equation for the parabola is (x - 2)² = 16(y + 1) if the vertex of the parabola is (2, -1) and focus of the parabola is (2, 3) option (D) is correct.

Learn more about the parabola here:

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Answer:

y = 3x+3

Step-by-step explanation:

we can find the equation of the line with this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m the slope

so we have

y-9 = 3(x-2)

y = 3x-6+9

y = 3x + 3

Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

Answer:

x + 6, y - 4

Step-by-step explanation:

The original image would be the blue triangle, so you need to see how many units it takes to get to the red triangle.

Let's focus on R and R'.

You need to move 6 units to the right, and 4 units down to get from R to R'.

It would then be the same for the other two points.

Answer:

4950kg

Step-by-step explanation:

Answer:

check the settings if you will see the link

Answer:

B. JK + KL = JL is the answer.

Answer:

it will take one man 18 hours to dig the three holes

Step-by-step explanation:

To solve this problem, we can set up a simple relation as follows:

4 men dig two holes in 3hours

4 men will dig 1 hole in x hours.

2 holes => 3 hours

1 hole => x hours

x = (1 X 3)/2 = 1.5 hours

Therefore, 4 men will dig 1 hole in 1.5 hours.

From this, we can find how long it will take 1 man to dig 1 hole

if 4men dig a hole in 1.5 hours

1 man will dig 1 hole in x hours

4 X 1.5 = 6 hours

1 man will dig 1 hole in 6 hours

finally, if 1 man digs a hole in 6 hours, it will take the man 6 hours X 3 to dig 3 holes = 18hours

it will take one man 18 hours to dig the three holes

Answer:

$122

Step-by-step explanation:

Let total money in his pocket = $ x

12.5% of x = $ 15.25

[tex]\frac{12.5}{100}*x= 15.25[/tex]

Multiply both sides by 100

12.5 *x = 15.25*100

125.5 *x = 1525

Divide both sides by 125.5

[tex]x = \frac{1525}{12.5}\\\\[/tex]

x = $ 122

Answer:

angle 1

Step-by-step explanation:

Answer:

Angle 1

Step-by-step explanation:

Vertical usually means across so 1 is across 3 and if I'm wrong then oh well