I need help with this math question​

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that [tex]P(0) = 5000[/tex]

So

[tex]P(t) = 5000e^{rt}[/tex]

After three hours it grew 6500 bacteria:

This means that [tex]P(3) = 6500[/tex]. We use this to find r.

[tex]P(t) = 5000e^{rt}[/tex]

[tex]6500 = 5000e^{3r}[/tex]

[tex]e^{3r} = \frac{65}{50}[/tex]

[tex]\ln{e^{3r}} = \ln{\frac{65}{50}}[/tex]

[tex]3r = \ln{\frac{65}{50}}[/tex]

[tex]r = \frac{\ln{\frac{65}{50}}}{3}[/tex]

[tex]r = 0.0875[/tex]

So

[tex]P(t) = 5000e^{0.0875t}[/tex]

How many bacteria will be present after 13 hours?

This is P(13). So

[tex]P(13) = 5000e^{0.0875*13} = 15594.8[/tex]

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

Answer:

80 inches

Step-by-step explanation:

8x10=80

because, lxw

l= length

w= width

Answer:

80

Step-by-step explanation:

im not trying to copy the answer above, im just going to say why its 80

so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units

we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area

8 * 10 = 80

(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)

hope this helps with this and other problems, credits to the answer above for doing the initial work :)

Answer:

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

Step-by-step explanation：

Rolling a 1 is [tex]\frac{1}{6}[/tex]

Flipping tails is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]

The appropriate description of the graph is as follows

1. The demand for health supplements in Oklahoma A: increases slowly.

2. The demand for health supplements in Oklahoma B: Decreases quickly.

3. The demand for health supplements in Oklahoma for C: Increases quickly.

4. The demand for health supplements in Oklahoma for D: decreases slowly.

To interpret lines on a graph, we must first note that those lines mean a number of things but ultimately, the tell or show is the relationship between two or more variables.

In the case of the Oklahoma graphs, we know that the lines represents the deman for health supplements. However, what we don't know are those factors that are causing the demands to increase or decrease.

The above answer is for the graph below that has been attached.

Find more exercises that includes graphs;

https://brainly.com/question/16608196

#SPJ1

Answer:

[tex]y=\frac{x-1}{3}[/tex]

Step-by-step explanation:

[tex]x=3y+1[/tex]

Subtract 1,

[tex]3y=x-1[/tex]

Divide each side by 3,

[tex]y=\frac{x-1}{3}[/tex]

Answer:

i ma rhhy

Step-by-step explanation:

i am right

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the data:

4, 7, 11, 11,2,5,8

To create an histogram of the data, we could use the online histogram maker ;

4

7

11

11

2

5

8

Answer:

24=42

Step-by-step explanation:

Use PEMDAS!

Answer: 24 = 42

Step-by-step explanation:

PEMDAS / order of operations.

Answer:

J. V = 12h cubic units

Step-by-step explanation:

Volume if a square pyramid = ⅓*a²*h

Where,

h = height = ?

a = edge = 6 in.

Plug in the values

Volume = ⅓*6²*h

V = ⅓*36*h

V = 12*h

V = 12h cubic units

Answer:

Sum = $1400

Step-by-step explanation:

Given the following data;

I. For Bob;

Principal, P = $4000

Interest rate, R = 3%

Time, T = 5years

To find the simple interest, we would use the following formula;

S.I = PRT/100

Substituting into the formula, we have;

S.I = 4000*3*5/100

S.I = 40 * 15

S.I = $600

II. For Bill;

Principal = $4000

Interest rate = 5%

Time = 4years

To find the simple interest;

S.I = PRT/100

S.I = 4000*5*4/100

S.I = 40 * 20

S.I = $800

III. Sum of amounts of interest for both;

Sum = 600 + 800

Sum = $1400

Therefore, the sum of amounts of interest bob and bill paid for their loans is $1400.

Answer:

Can't be Solved

Step-by-step explanation:

tan x = opp/adj

tan x = 23/11

tan x = 2.09090909 which is about

tan x = 2.09

x = 64.4 degrees which is the tangent of 2.09 in degrees.

x = 64.4 degrees

This is the only way to solve, since no answer is equivalent it can't be solved.

Answer: Yes

Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.

No

A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.

Answer:

90

Step-by-step explanation:

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.

Step-by-step explanation:

that each shirt is 6 dollars

Answer:

x=√65 and x=-√65

Step-by-step explanation:

Givn the expression 2x^2 - 9 = 121

Add 9 to both sides

2x^2 - 9 + 9 = 121 + 9

2x^2 = 130

Divide both sides b 2

2x^2/2 = 130/2

x^2 = 65

x = ±√65

x=√65 and x=-√65

2√x−3√xyx+√y is your answer.

9514 1404 393

Answer:

  6.9

Step-by-step explanation:

The relevant relation is ...

  Sin = Opposite/Hypotenuse

Substituting given values, we have ...

  sin(35°) = x/12

  x = 12·sin(35°) ≈ 6.883

The value of x is about 6.9.

Answer:

Pyramid formula: V= LWH/3

224

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

The figure shown is a triangular prism

The volume of a triangular prism can be calculated by using this formula

[tex]V=ah[/tex]

where a = area of base and h = height

we are already given the height ( 8 ft ) so all we need to find is the area of the base

Because this is triangular prism the base will be a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft

That being said we plug in the values into the formula

[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]

So we can conclude that the area of the base is 42 ft²

Now to find the volume

Using the formula V = ah

* plug in the values *

V = 42 * 8

42 * 8 = 336

Therefore the volume of the triangular prism is 336ft³

Answer:

19.21 is the answer