The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)

The Geometric Sequence Graphed Shows The Number Of Mold Spores In A Petri Dish Per Day (please Help!)

Answers

Answer 1

Answer:

f(1) = 2

f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

the point of coordinates (1 , 2) is on the graph

Then

f(1) = 2

…………………………

We notice that :

f(2) = 4

f(3) = 8

f(4) = 16

16/8 = 8/4 = 4/2 = 2/1 = 2

________________________

This means the common ratio

of the geo sequence = 2

Hence ,

f(n) = 2 × f(n - 1)

Answer 2

Answer: f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:


Related Questions

If u get 2 points every 5 minutes, how long will it take to get 3,600 points?

Answers

Answer:

9,000 minutes (150 hours)


Step-by-step explanation:

You have 3,600 points total; you need to divide it by 2 points.
3,600 ÷ 2 = 1,800


So, now you need to multiply the 1,800 points by 5 minutes.

1,800 × 5 = 9,000


Another way:

You can figure out how long it takes to get 1 point. If 2 points takes 5 minutes, divide 5 by 2.

5 ÷ 2 = 2.5


Now you need to figure out how long it would take to get 3,600 points. If each point takes 2.5 minutes, just multiply.

3,600 × 2.5 = 9,000


It would take 9,000 minutes (which is equivalent to 150 hours) to get to 3,600 points.

Write an expression for the area of the trapezium below.
Expand any brackets and fully simplify your answer.

Answers

This is my hypothesis


8. If a conditional is true and its hypothesis is true, then its_____ is true.

Answers

Answer: Conclusion

If a conditional is true and its hypothesis is true, then its conclusion is true.

Mathmatical proofs. please help

Answers

Answer looking for the part of the proof that is wrong
They switched the right angles with their opposite
See picture, that’s the best way I could show you without typing the whole thing over
Switch the two Right angles in the sentence

HELPP
Simplify the expression 6^3+ 5(4 − 2).

28
36
226
234

Answers

Answer:

BODMAS

[tex] {6}^{3 } + 5(4 - 2) = 216 + 5(2) \\ = 216 + 10 \\ = 226[/tex]

Answer: Answer is 226

Step-by-step explanation: Do math

If 343 superscript x baseline = 49 superscript 4 minus x, what is the value of x?

Answers

The value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given that 343ˣ = 49⁴ ⁻ ˣ, and are asked to find the value of x.

We try to solve the exponential equation, using the laws of exponents in the following way:

343ˣ = 49⁴ ⁻ ˣ,

or, (7³)ˣ = (7²)⁽⁴ - ˣ⁾ {Since, 343 = 7³ and 49 = 7²}.

or, 7³ˣ = 7⁸ ⁻ ²ˣ {Using the law: [tex](x^{a})^{b} = x^{ab}[/tex]},

or, 3x = 8 - 2x {Using the law: [tex]x^a = x^b \Rightarrow a = b[/tex], when x ≠ 0}.

or, 3x + 2x = 8 - 2x + 2x {Adding 2x to both sides of the equation},

or, 5x = 8 {Simplifying}

or, 5x/5 = 8/5 {Dividing both sides by 5},

or, x = 8/5 or 1.6 {Simplifying}

Therefore, the value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.

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the number of people with one type of flu doubles every day for several days what type of function represents this pattern

Answers

Answer:

The answer will be Exponential growth.

Please mark me as the brainliest.

Answer:

exponential growth

Step-by-step explanation:

working together, rocco and giulia can paint a room in 3 hours. it would’ve taken rocco 7 hours to do the job alone. which equation can be used to determine r, giulia’s rate of work in parts per hour?

Answers

Answer:

1/7 + r = 1/3

Step-by-step explanation:

Rocco takes 7 hours to do the job.
In 1 hour, Rocco does 1/7 of the job.

Rocco's rate is 1/7 job per hour.

It takes Giulia x hours to do the job.

In 1 hour, Giulia does 1/x of the job.

Let r = 1/x. Giulia's rate is r part of the job per hour.

Together, Rocco and Giulia take 3 hours to do the job.

In 1 hour, Rocco and Giulia do 1/3 of the job.

Together, their rate is 1/3 of the job per hour.

1/7 + r = 1/3

Marilyn is having shelves installed to create a corner pantry. the length of one wall is 21 inches and the length of the other wall is 25 inches. the contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, m∠a. what is the measure of that angle? round your answer to the nearest degree.

Answers

Answer:

He says the answer is 40°

Step-by-step explanation:

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If not, I am sorry.

Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)

Answers

The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.

How to compute the value?

a = 25

d = 5

The fifth year will be:

= a + (n - 1)d

= 25 + (5 - 1)5

= 25 + (4 × 5)

= 45

The 14th year will be:

= a + 13d

= 25 + 13(5)

= 90

The 26th will be:

= a + 25d

= 25 + 25(5)

= 150

The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:

Year 10 = n/2[2a + (n - 1)d]

= 10/2[5(25) + 45]

= 475

Year 22 = 25[50 + 245]

= 1705

Year 50 = 25(50 + 245)

= 7375

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Please help!!!!!!!
picture below

Answers

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

Vertical stretch of a function

Given the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx

Given the parent function

f(x) = [tex]5^{x-2}[/tex]

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

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What is the results of
4-³ × (¼)²

Answers

Answer:

4^-3*(1/4)^2

(1/64)*(1/16)

=(1/1024)

Answer:

0.00025

Step-by-step explanation:

hope it'll help I'll ask . if you feel that it's not that correct please comment so that I can ask my sister who I'm sure she'll help although she's far good day.

Graph the inequality -1 < y +5x<11

Answers

Answer:

b

Step-by-step explanation:

Sara wants to find the input value that produces the same output for the functions represented by the tables.

A table headed with f(x) equals negative 0.5 x plus 2, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, f(x), has the entries 3.5, 3, 2.5, 2, 1.5, 1, 0.5. A table headed with g(x) equals 2 x minus 3, with 2 columns and 8 rows. The first column, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second row, g(x), has no entries.
What is the input value that produces the same output value in both charts?

–2
–1
1
2

Answers

The input value that produces the same output value in both charts is 2. so the correct answer is option D.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

You are given two functions  f (x) = -0.5X +2 and g(x) = 2x - 3

x      f(x)

-3     3.5

-2     3

-1     2.5

0     2

1      1.5

2     1

3     0.5

The second table is given below:-

x      g(x)

-3      

-2      

-1      

0    

1      

2      

3      

We will put the points and will find the value of functions:-

g(-3) = 2(-3) - 3 = -6 -3 = -9

g(-2) = 2 -(-2) -3 = -7

g(-1) = 2( -1) -3 = -3

g(0) = 2 - 0  - 3 = -3

g(1) = 2.1 - 3 = -1

g(2) = 2.2 -3 = 1

g(3) = 2.3 -3 = 3

Hence the second table will be

x      g(x)

-3      -9

-2      -7

-1       -5

0       -3

1        -1

2       1

3       3

The input value that produces the same output value in both charts is 2.

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This should be easy. Answer it please :D

Answers

Answer:

is it 1 ques or 4 different questions?

Hello!
im studying for my future SAT test and my school is over can you please show me steps on this i need to understand it thanks!

Answers

Answer:

Therefore, an integer that's divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18. It's not necessarily divisible by 12 or 36, each of which includes two 2s in its prime factorization

21/√7-5√7/2 solve it

Answers

Answer:

√72

Decimal Form:

1.32287565…

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark. For the bottom line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark.

Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

Group A, because seven children have a forearm length longer than 10 inches
Group B, because two children have a forearm length longer than 10 inches
Group A, because one child in the group has the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches

Answers

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11[/tex]

[tex]\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9[/tex]

Thus proving that Group A has the longer average former length.

According to given text data

Average of both groups

A:-

10(3)+11(4)+12(3)/1030+44+36/1066+44/10110/1011

B:-

9(3)+5(10)+11(2)/1027+50+22/1049+50/1099/109.9

Group A has bigger average

Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

[tex]\sqrt{4x-3}=5[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex](\sqrt{4x-3} )^{2} =5^{2}[/tex]

[tex]4x-3=25[/tex]

[tex]4x=25+3[/tex]

[tex]x=\frac{28}{4}[/tex]

[tex]x=7[/tex]

Hope this helps

Write the rate in lowest terms a printer can print 22 pages in 55 seconds

Answers

Answer:

2/5

Step-by-step explanation:

22/11=2

55/11=5

Which is equivalent to 3√8* ?

O x √8^3
O 8 ^3/x
O 8 ^x/3
O 8^3x

Answers

Answer:

O 8 ^x/3

Step-by-step explanation:

Remember that :

[tex]\sqrt[n]{x} = x^\frac{1}{n}[/tex]

………………………………

Then

[tex]\sqrt[n]{8^x} = (8^{x})^{\frac{1}{3}}[/tex]

      [tex]= 8^{x\times\frac{1}{3}[/tex]

      [tex]=8^{\frac{x}{3}[/tex]

Which points are solutions to the linear inequality y < 0.5x 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)

Answers

The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

For (–3, –2)

-2 < 0.5(-3) + 2

-2 < 0.5 (satisfied)

For (–2, 1)

1 < 0.5(-2) + 2

1 < 1  (Not satisfied)

For (–1, –2)

-2 < 0.5(-1) + 2

-2 < 1.5 (Satisfied)

For (–1, 2)

2 < 0.5(-1) + 2

2 < 1.5 (Not satisfied)

For (1, –2)

-2 < 0.5(1) + 2

-2 < 1.5 (Satisfied)

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A pound of chocolate costs 6 dollars. John buys p pounds. Write an equation to represent the total cost c that John pays.
0-0 2
Question 29
XS ?

Answers

Answer:

c=6p

Step-by-step explanation:

you multiply

6 dollars per pound by p pounds

pounds cancel out and you are left with dollars

that is the cost

Instructions: Simplify the algebraic expression.

−12(32x−10y)

Answers

Answer:

-384x - 120y

Step-by-step explanation:

General Concepts and Formulas:

Brackets

Parentheses

Exponents

Multiplication

Division
A
ddition
S
ubtraction

Steps:

1) Distribute

[tex]-12(32x-10y)[/tex]

We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.

So first, multiple -12 by 32 and add the variable 'x' when getting the product:

-12(-384x - 10y)

Now that we have one part, let's solve the other part.

We now must multiple -12 by -10, which gets us 120, now we must plug in:

(-384x - 120y)

(Remove parenthesis)

⇒  -384x - 120y

7 t-shirts and a hat costs £47.00
5 t-shirts and a hat costs £35.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

Shirts are 6

Hats are 5

Step-by-step explanation:

This is a system of equations. Set up the equations first.

7s + h = 47

5s + h = 35    

-----------------------      Subtract the equations to eliminate the h variable

2s = 12                      Divide by 2 to solve

s = 6                          Each hat is 6

Plug the 6 in for s in either of the original equations

7(6) + h = 47

42 + h = 47          Subtract 42 from both sides

h = 5

The cost of the fruit is given by the function y= 3x+1, where x is the number of fruits and y is the total cost. Find the
range of the function.

Answers

Answer:

The answer is the second option: {4, 7, 10...}

A student committee is to consist of 2 freshmen, 5 sophomores, 4 juniors, and 3 seniors. If 6 freshmen, 13 sophomores, 8 juniors, and 14 seniors are eligible to be on the committee, in how many ways can the committee be chosen

Answers

Answer:  491,891,400

Delete the commas if necessary.

============================================================

Explanation:

There are 6 freshmen total and we want to pick 2 of them, where order doesn't matter. The reason it doesn't matter is because each seat on the committee is the same. No member outranks any other. If the positions were labeled "president", "vice president", "secretary", etc, then the order would matter.

Plug n = 6 and r = 2 into the nCr combination formula below

[tex]n C r = \frac{n!}{r!(n-r)!}\\\\6 C 2 = \frac{6!}{2!*(6-2)!}\\\\6 C 2 = \frac{6!}{2!*4!}\\\\6 C 2 = \frac{6*5*4!}{2!*4!}\\\\ 6 C 2 = \frac{6*5}{2!}\\\\ 6 C 2 = \frac{6*5}{2*1}\\\\ 6 C 2 = \frac{30}{2}\\\\ 6 C 2 = 15\\\\[/tex]

This tells us there are 15 ways to pick the 2 freshmen from a pool of 6 total.

Repeat those steps for the other grade levels.

n = 13 sophomores, r = 5 selections leads to nCr = 13C5 = 1287. This is the number of ways to pick the sophomores.

You would follow the same type of steps shown above to get 1287. Let me know if you need to see these steps.

Similarly, 8C4 = 70 is the number of ways to pick the juniors.

Lastly, 14C3 = 364 is the number of ways to pick the seniors.

-----------------------------

To recap, we have...

15 ways to pick the freshmen1287 ways to pick the sophomores70 ways to pick the juniors364 ways to pick the seniors

Multiply out those values to get to the final answer.

15*1287*70*364 = 491,891,400

This massive number is a little under 492 million.

Hii guys please answer this question

After how many places will the decimal expansion of 189/750 terminate ? Also write the decimal form​

Answers

Answer:

3 decimal places; 189/750 = 0.252

Step-by-step explanation:

Answer:

3 decimal places.

189/750 = 0.252

Step-by-step explanation:

If you are allowed to use a calculator, you divide. 189/750 means 189 ÷ 750.

You will get 0.252, which is three decimal places. If you are not allowed to use a calculator, you must do long division. The 750 goes outside the dividing frame and the 189 goes inside. There is an unwritten decimal point after the 9 in 189. Since 750 does not go into 189, put 0. to begin and put zeros after the 189 to do the long division. See image. Hopefully you can just use a calculator.

How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model?

Answers

The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)

Conditional Probability

This is the probability that an event has happened given another event. If the two events are A and B, hence;

The conditional probability of A given B is expressed as:

P(A | B) = P(AnB)/P(B)

This given the fractions representing the conditional probability

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Help me solve please with in depth explanation

3. The table shows information about the times for 100 people to complete a task.​

Answers

Answer:

kuch bhi hai one kutiya kamini sour hii byy
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