how to find the rate of change of a table

Answers

Answer 1

Answer:

To find the rate of change in a table, the same process applies:

Step-by-step explanation:

1. Find the coordinates of the given points. It's optional to label them.

2. Find the difference between the output values.

3. Find the difference between the input values.

4. Calculate the ratio between the change in y to the change in x: ΔyΔx.


Related Questions

Question Prog
One-third of a number is 12.
Work out one-half of the number.

Answers

One-half of the number is 18.

Given that

One-third of a number is 12.

Let "x" be the number

Given that,

One-third of a number is 12

Which means,

[tex]\frac{1}{3} *x = 12[/tex]

x = 3*12

x = 36

Thus the number is 36

Work out one-half of the number

one half of the number = [tex]\frac{x}{2}[/tex]

one half of the number = [tex]\frac{36}{2}[/tex]

one half of the number = 18

Hence the answer is, one-half of the number is 18.

To learn more about one-half of a number click here https://brainly.com/question/28490542

#SPJ9

Type the missing number to complete the proportion.

8 minutes for 3 songs =
minutes for 6 songs

Answers

16 for six songs.
3 x 2 = 6
so 8 x 2 = 16

Convert years to days. 7 years = x |_ *( days year) days)​




I ment middle school not high

Answers

Answer:

2555 days

Step-by-step explanation:

1 year is 365 days, and 365 x 7 = 2555.

how many nonnegative integers can be written of the form a7 * 3^7 a2 * 3^6 where ai {1, 0, -1} amc

Answers

The non negative integers can be written of the form is 3281.

Given:

a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.

ai = 7,6,5,4,3,2,1,0

Total = 8

= [tex]3^{8}[/tex] = 6561

= 6561 - 1 /2

= 6560/2

= 3280 is negative integers

Non negative or positive integers = 6561 - 3280 = 3281

Therefore the non negative integers can be written of the form is 3281.

Learn more about the non negative integers here:

https://brainly.com/question/16155009

#SPJ4

dan goe from birmingham to coventry by bu. he take 5 minute to walk from hi houe to the bu top in birmingham. he take 20 minute to walk from the bu top in coventry to work. dan ha to get to work by 10.30 am. what i the latet time dan hould leave hi houe to get to work on time?

Answers

The latest time Dan should leave his house to get to work on time will be 10: 05 am.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Dan goes from Birmingham to Coventry by Bu. Be goes for 5 moments to stroll from greetings houe to the bu top in Birmingham. He goes for 20 moments to stroll from the Bu top in Coventry to work. Dan has to get to work by 10.30 am.

The total time is given as,

⇒ 5 + 20

⇒ 25 minutes

The latest time Dan should leave his house to get to work on time will be given as,

  10: 30 am

- 00: 25      

  10: 05 am

The latest time Dan should leave his house to get to work on time will be 10: 05 am.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Anyone good there at math? Explain briefly​ and give examples

Answers

Answer:

y = (3/4)x - 3/4

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

Slope-intercept form is:

y = mx + b, where m- the slope, b- the y-intercept

Given line in standard form:

- 3x + 4y + 3 = 0

Convert this to slope-intercept form:

- 3x + 4y + 3 = 04y = 3x - 3y = (3/4)x - 3/4

Answer:

[tex]\boxed{y=\dfrac{3}{4}x-\dfrac{3}{4}}[/tex]

[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]

[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]-3x+4y+3=0[/tex]

To write the given equation in slope-intercept form, rearrange the equation to isolate y.

Add 3x to both sides of the equation:

[tex]\implies -3x+4y+3+3x=0+3x[/tex]

[tex]\implies 4y+3=3x[/tex]

Subtract 3 from both sides of the equation:

[tex]\implies 4y+3-3=3x-3[/tex]

[tex]\implies 4y=3x-3[/tex]

Divide both sides of the equation by 4:

[tex]\implies \dfrac{4y}{4}=\dfrac{3x-3}{4}[/tex]

[tex]\implies y=\dfrac{3}{4}x-\dfrac{3}{4}[/tex]

Compare the rearranged equation with the slope-intercept formula:

[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]

[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]

A polygon has 7 sides. The interior angle measures are 130°, 118°, 135°, 128°, 126°, 134°, and x°. Find the value of x.

Answers

Answer:

129 degrees.

Step-by-step explanation:

The Sum of all the interior angles of an a-sided polygon is always (n−2) × 180 degrees.

As this is a seven-sided polygon, the sum of its interior angles is (7−2) × 180 degrees = 5 × 180 degrees = 900 degrees.

Step 1: Find the sum of six of the angles is 130 degrees, 118 degrees, 135 degrees, 128 degrees, 126 degrees, and 134 = 771 degrees

Hence the seventh angle is x = 900 degrees − 771 degrees= 129 degrees.

guys help what is the answer to this need the answer asap

Whats 1+1=?

Answers

Answer:

2

Step-by-step explanation:

Question:

1 + 1 = ?

1 + 1 = 2

what does correlation investigate? select one: a. linear association between two numeric variables b. variances between two numeric variables c. association between two categorical variables d. differences of means between two numeric variables

Answers

Correlation is a bi-variate analysis that measures the strength of association between two variables and the direction of the relationship.

What is bi-variate analysis?

Bivariate analysis is one in every of the only kinds of quantitative (statistical) analysis. It involves the analysis of 2 variables (often denoted as X, Y), for the aim of deciding the empirical relationship between them.

Main Body:

The correlation coefficient's value ranges from +1 to -1. the entire degree of correlation between the 2 variables is indicated by a worth of one. The association between the 2 variables are weaker because the parametric statistic price approaches zero.

Hence correlation investigate linear association between two variables.

To know more about bi-variate analysis click on the link below

https://brainly.com/question/16795255

#SPJ4

how much is 2/5 + 1/2 + 3/4 greater than 1

Answers

Answer:

0.65

Step-by-step explanation:

1.65 is 0.65 greater than 1

Given

Complete the sentences

Parallel or not parallel

Answers

If x = 10 it is not parallel
If x= 12 it is parallel
if x= 14 it is not parallel

what is the probability of rolling a small straight on the first round? round your answer to have three decimal places. enter your solution into variable

Answers

Answer:it depends on how many sides their are

Step-by-step explanation:

just factual

Solve for g.
l= gT2
47²
What is g equal to?
g=1²2
g=4771
g=47²lT2
g=47

Answers

On solving the given equation for g you will get [tex]g=\frac{4\pi^2l}{T^2}[/tex]. Any equation can be solved by using properties of equality of eqatuion.

Which properties are use to solve the equation?

The following 4 properties are use to solve any equation:

(1) Addition: Add same number on both side of the equation.

(2) Subtraction: Subtract same number from both side of the equation.

(3) Multiplication: Multiply with the same number on both the sides of the equation.

(4) Division: Divide with the same number on both sides of the equation.

Now, consider the given equtaion.

[tex]l=\frac{gT^2}{4\pi^2}[/tex]

Multiply both sides with [tex]4\pi^2[/tex].

[tex]l(4\pi^2)=\frac{gT^2}{4\pi^2}4\pi^2\\l(4\pi^2)=gT^2[/tex]

Divide both sides with [tex]T^2[/tex]

[tex]\frac{4\pi^2l}{T^2}=\frac{gT^2}{T^2}\\\frac{4\pi^2l}{T^2}=g\\g=\frac{4\pi^2l}{T^2}[/tex]

Hence, on solving the given equation for g you will get [tex]g=\frac{4\pi^2l}{T^2}[/tex].

Lern more about solving equations from the following link:

https://brainly.com/question/25678139

#SPJ1

Which of the following is an example of a data set with 5 values for which the standard deviation is zero. a) -2.-1.0.1.2 b) 4.4.4.4.4 c) -5,-3.0.3.5 d) 1,2,3,4,5

Answers

The standard deviation for the dataset (4, 4, 4, 4, 4) is zero (0)

To find a data set with 5 values for which the standard deviation is zero,

⇒ (4, 4, 4, 4, 4)

For the above dataset;

Mean μ = 4

Number of samples n = 5

Standard deviation σ = [tex]\sqrt{\frac{sumof(xi - x)^2}{n} }[/tex]

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

                                   = 0

Therefore, for the dataset (4, 4, 4, 4, 4) the standard deviation is zero(0).

To learn more about standard deviation click here:

brainly.com/question/14747159

#SPJ4

Does the quadratic function
f(x) = 5x² + 5x + 21 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.

Answers

5x^2 + 5x + 21 = 0

No real solution

no x - intercept

Answer:

No real zeros.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Discriminant of the Quadratic Formula}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\When $b^2-4ac > 0 \implies$ two real zeros.\\When $b^2-4ac=0 \implies$ one real zero.\\When $b^2-4ac < 0 \implies$ no real zeros.\\\end{minipage}}[/tex]

The value of the discriminant shows how many zeros the function has.

Given quadratic function:

[tex]f(x)=5x^2+5x+21[/tex]

Therefore:

a = 5b = 5c = 21

Substitute the values into the discriminant and solve:

[tex]\begin{aligned}\implies b^2-4ac&=(5)^2-4(5)(21)\\& = 25 - 20(21)\\&=25-420\\&=-395\end{aligned}[/tex]

Therefore, as -395 < 0, there are no real zeros.

If their food and beverages cost $25.30 and there is an 8% meals tax, , After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.

Answers

The tip is 18%

From the question, we have

food and beverages cost = $25.30

meals tax = 8%

Tax = (8/100)* 25.3 =  $2.02

Bill = $25.30 + $2.02

= $27.32

After adding a tip, the total lunch cost was $32.24.

Tip = $32.24. -  $27.32  = $4.92

% of Tip  = (4.92 /  27.32) * 100 =  18 %

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ1

Ken hikes a trail at a constant rate of 4/5 of a mile of a mile every 2/5 if an hour.he stops for a 3/4 hour lunch.he wants to hike at least 20 miles

Answers

Answer:

below

Step-by-step explanation:

Rate =  4/5 mi / 2/5 hr =  2 mi /hr

3/4 hr for lunch

20 miles / 2 miles/hr   + 3/4 hr =  10 3/4 hr to hike 20 miles with a lunch

Can someone help me pls

Answers

Answer:

$8.30 per keychain

Step-by-step explanation:

15.5 is the price of one hat so we multiply by 3

15.5x3=46.5

Now we subtract this from 96.30

96.3-46.5=49.8

Now divide by 6 to get each key chain price

49.8/6= 8.3

$8.30 for each keychain

Claire’s answer is u reasonable because of the work I did above

Hopes this helps please mark brainliest

Each keychain costs $8.30 and her answer is not correct because it is to the wrong decimal point therefore if each keychain cost $0.83 she would only spend $4.98 on 6 key chains and with 3 hats together shes would be spending a total of $47.33 instead of $96.30.

Nov 13, 12:27:13 PM
What is an equation of the line that passes through the points (5, -1) and (-5, 1)?

Answers

Answer:

y=-1/5x

Step by Step

y=mx+b

First find the slope

equation: y2-y1 divided by x2-x1

1-(-1)/-5-5

2/-10

simplified to -1/5

Now that we have the slope we need the y-int

using point slope form: y-y1=m(x-x1)

Let us use the point (5,-1)

y-(-1)=-1/5(x-5)

y+1=-1/5x+1

Subtract 1 to both sides

y=-1/5x

HELPPPPPP PLEASEEE SAVE ME

Answers

9a is t + f as the addition of the tin and the tomatoes’ mass is the mass of one tin with tomatoes inside.

9b is 4(t + f) as the question asked for 4 tons of tomatoes

9c is n(t + f) because the amount of tins, n, is unknown.

If CP=590 and profit=75, find SP​

Answers

Answer:665

Step-by-step explanation: Just add the CP and Profit

Can someone tell me the answer piz •_•

Answers

The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .

Given,

The function is given as:

f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]

To find the bend behavior of f(x)

Now, According to the question:

Based on the given condition:

Analyze the end behavior of

f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]

As, x → infinity , f(x) → - infinity ;

as x → - infinity , f(x) → infinity .

Hence, The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .

Learn more about Function at:

https://brainly.com/question/28303908

#SPJ1

HELP SOLVE PERSON WHO SOLVES GETS 30 POINTS

Answers

The true proportion of the similar triangles is [tex]\frac{AC}{AE} = \frac{BC}{BD}[/tex]

What are similar triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

In other words, similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

Therefore,

ΔACE is similar to ΔBCD

Hence,

[tex]\frac{AC}{BC}=\frac{AE}{BD}=\frac{CE}{CD}[/tex]

Therefore, the proportion that is true for the ΔACE and ΔBCD is [tex]\frac{AC}{AE} = \frac{BC}{BD}[/tex]

learn more on similar triangle here: https://brainly.com/question/25882965

#SPJ1

Find the distance from point E to Line FH. Round the answer to 2 decimal places.

Answers

quick clarification on "point E to line FH", well, point E is just a point, line FH goes to infinity both ways, so in essence how many distances are there? well, infinite many.

now, if the question is "distance closest from E to FH?", then there's only one choice, the closest distance to FH will be the perpendicular distance from E and that'd be the distance from E to G

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ E(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ EG=\sqrt{(~~1 - (-4)~~)^2 + (~~2 - (-3)~~)^2} \implies EG=\sqrt{(1 +4)^2 + (2 +3)^2} \\\\\\ EG=\sqrt{( 5 )^2 + ( 5 )^2} \implies EG=\sqrt{ 25 + 25 } \implies EG=\sqrt{ 50 }\implies EG\approx 7.07[/tex]

HELPPP
im supposed to be turning this in in like 20 minutes

Answers

The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

Given that,

The equations,

D=1-x² and C = -1-3x²+4x

We have to find the expression 3D-3C in standard form.

What the expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

We get,

3D-3C

3(1-x²)-3(-1-3x²+4x)

3-3x²+3+9x²-12x

6+6x²-12x

6x²-12x+6

Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

To learn more about expression visit: https://brainly.com/question/14083225

#SPJ1

The probability that at least one number is odd and the sum of the two numbers is even is. The probability that exactly one number is 6 and the product of the two numbers is at most 15 is.

Answers

The probability that at least one number is odd and the sum of the two numbers is even is 1/4

The probability that exactly one number is 6 and the product of the two numbers is at most 15 is 1/9

The easiest way to figure out probability problems with small data sets is to write out your entire sample space and then divide by the total:

Sample size = 6 * 6 = 36

S = {[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[2,1],[2,2],[2,3],[2,4],[2,5],[2,6],[3,1],[3,2],[3,3],[3,4],[3,5],[3,6],[4,1],[4,2],[4,3],[4,4],[4,5],[4,6],[5,1],[5,2],[5,3],[5,4],[5,5],[5,6],[6,1],[6,2],[6,3],[6,4],[6,5],[6,6]}

The only way to make a number combination that's even while 1 die is odd is to have 2 odd numbers.

{[1,1],[1,3],[1,5],[3,1],[3,3],[3,5],[5,1],[5,3],[5,5]}

This gives us 9 results.

The probability of this happening is 9/36 = 1/4 = 0.25

Now if we have to get a 6 with the product being at most 15 we know that the biggest number that 6 can be multiplied by is 2 which gives us 12.

We are left with 4 options:

{[1,6],[2,6],[6,1],[6,2]}

The probability of this happening is 4/36 = 1/9 = 0.1111...

To learn more about probability, visit:

https://brainly.com/question/11234923

#SPJ4

insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer

Answers

The numbers are inserted into the tree and shown in the below diagrams.

Given that,

Put these numbers into a 2-3-4 tree: 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50.

Binary Tree Data Structure: What is it?

A Binary Tree is a Tree data structure with two children or less. We typically refer to them as the left and right child since each element in a binary tree can only have two children.

Representation of a Binary Tree

A pointer to the topmost node of a binary tree serves as its representation. The root's value is NULL if the tree is empty.

The following components are found in a binary tree node:

Data

Pointer to left child in data

Pointer to the right-hand child

Thereforer, The numbers are inserted into the tree

Learn more about Binary Tree here:

brainly.com/question/13152677

#SPJ4

The question was incomplete. Check below the complete question.

insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer

which of the following can be classified as data reduction techniques? a. cluster analysis b. sampling c. data visualization d. none of the above

Answers

The answer of the question is A. Cluster Analysis

Data reduction is a stage of qualitative data analysis techniques. Data reduction is simplification, classification, and unnecessary hoarding of data in such a way that the data can produce meaningful information and facilitate drawing conclusions.

Data reduction is done to provide more specific representation and make it easier for researchers to collect data then look for additional data if needed.

Various dimension reduction methods are used to reduce the complexity of data before further processing. One of data reduction techniques is Cluster Analysis. Cluster analysis is used to group or classify data with various types, for example in types according to the concept, and certain categories according to the research being conducted.

Learn more about Data Reduction at https://brainly.in/question/6416423

#SPJ4

Please help today is my bday and I want to get an A

Answers

The proof of Δ SUE is not an isosceles triangle. is shown below.

What is distance Formula?

If there are two points A(a, b) and B( c, d) then the distance between these two points are

AB= √( c-a )² + ( d-b )²

Given:

S(-2, -4), U(2, -1) and E(8, -9)

Using Distance formula

SU= √( 2 -(-2))² + ( -1-(-4))²

SU = √4²+ 3²

SU = √16+9

SU =5

and, UE = √( 8 -(2))² + ( -9-(-1))²

UE = √6²+ 8²

UE = √36+64

UE =10

and, ES= ( 8 +2 ))² + ( -9+4)²

ES = √10²+ 5²

ES = √100+25

ES = 5√5

As, none of the two sides are equal.

So, Δ SUE is not an isosceles triangle.

Learn more about distance formula here:

https://brainly.com/question/28956738

#SPJ1

8 cows can graze a field in 28 days. how long would 14 cows take to graze the same field?​

Answers

Answer:

16 days

Step-by-step explanation:

(28×8)/14= 16

Hope it helps.. Please mark brainliest

Other Questions
Speech marks can express __________. sarcasm All these answers are correct. irony skepticism You have $4,500 on a credit card that charges a 15% interest rate. If you want to pay off the creditcard in 3 years, how much will you need to pay each month? Question 6 of 10View PoliciesCurrent Attempt in ProgressCurly Girl Manufacturing manufactures salon-quality hair dryers. Curly Girl applies overhead based on direct labor hours. Thecompany's predetermined overhead rate was based on an estimated 480,000 direct labor hours and $1,728,000 estimated totaloverhead. During November, the company manufactured 22,400 hair dryers in Job CG12 and incurred the following costs: DirectMaterials: $103,040 Direct Labor (39,200 hours at $18): $705,600 and Actual overhead incurred during the month: $148,960. Whatis the unit cost of the hair dryers produced in Job CG12?O $36.10O $42.40O $42.75O $24.23eTextbook and Media5!!Save for LaterAttempts: 0 of 3 usedSubmit Answe Juan has reached 60 total hours of work within a 7-day period. How can Juan reset his hours before driving again? Write a python program the find out the average of a set of integers using a WHILE loop. monico recently hired a mechanic to do some necessary work. on the final bill, monico was charged a total of $677. $485 was listed for parts and the rest for labor. if the hourly rate for labor was $64, how many hours of labor was needed to complete the job? Distracting people can be a useful strategy when trying to make a persuasive argument, largely because it ____.a.puts them in a good moodb.prevents them from thinking of counterargumentsc.facilitates central/systematic processingd.heightens people's need for cognition Given: is a midsegment of . Show all work.a. Find the value of x and y.b. What is the length of ? WILL MARK BRAINLIEST.(must be at least 1 or 2 paragraphs)What is the most important story about what St. Elizabeth Ann Seton did in her life? Tell about it in your own words. On a certain hot summer's day, 524 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $891.00 How many children and how many adults swam at the public pool that day? A mutant dna polymerase that increases the frequency of strand slippage would increase the frequency of which type of mutation?. Earth rotate once every 24 hours. In a reference frame fixed to Earth, how far doesa point on the equator move in 1 hour? RE = 6.34106 m Which settlement was established in what is now Canada g which choice among a-e below is false? a. transferrins: an iron-binding protein in your body b. fever: increases t cell activity and lowers iron availability c. amps: peptides of the innate immune system that possess antimicrobial activity d. interferon: acts on increfhypothalamus to elevate body temperature set point causing fever e. alternative complement pathway: complement activated by binding to pathogen surface glycolipids f. none are false; a - e are all true What is high context?&Why is Indian cultural heritage considered high context? Mansyur et al. (Culture and the social context of health inequalities, 2009, p 101) propose a model which explains the pathways from cultural dimensions to health. What do you think of it? Is it realistic, comprehensive, and complete? Would you add and/or change anything? Please explain your approach Susie is visiting Germany from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.74 euro per kilogram. If 1 euro was worth 1.09dollars that day, how much did the tomatoes cost in dollars per pound?First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side ofthe equation. what does transformation involve in bacteria? a. the creation of a strand of dna from an rna molecule b. the creation of a strand of rna from a dna molecule c. assimilation of external dna into a cell d. the infection of cells by a phage dna molecule Lucinda works for a city fire department. She is creating a podcast about first-responder safety for firefighters. Which phrase best describes the purpose of her podcast? a. To sell fireproof safety equipment b. To provide statistics about safety-related accidents c. To discuss measures to improve safety d. To allow firefighters to exchange ideas on safety. The cost of 15 books is $33.75. Find the cost of 12 such books?