Find the value of k if (p+2) is a factor of the polynomial 2p^3– p^2+ 12 - k.

Answers

Answer 1

what is 5+5 = so answer would be 10 because when you add then it 10


Related Questions

IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?
36
10


A. 3007 units
B. 12367 units3
C. 9007 units3
D. 1200 units 3

Answers

Answer:

A. 300π units³

Step-by-step explanation:

Formula for volume of a cone = ⅓πr²h

Where,

radius (r) = ½(10) = 5 units

height (h) = 36 units

Plug in the values and find the volume in terms of π

Volume of the cone = ⅓*π*5²*36

Volume of the cone = 300π units³

Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a numerical answer.

Answers

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

. If 2n - 5m + 10 = 0, find
i) m, when n=2 ii) n, when m=5​

Answers

Answer:

when n = 2; m = 2 [tex]\frac{4}{5}[/tex]

when m=5;   n = [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

2n - 5m + 10 = 0

             -10     -10

2n - 5m = -10

2(2) - 5m = -10

 4 - 5m = -10

 -4            -4

      -5m = -14

        -5       -5

           m = 2 [tex]\frac{4}{5}[/tex]

2n - 5(5) = -10

2n - 25 = -10

    +25     +25

2n = 15

2        2

   n = [tex]7\frac{1}{2}[/tex]

Raquel needs to rent a car while on vacation. The rental company charges $19.95, plus 19 cents for each mile driven. If Raquel only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

__________ miles

Answers

Answer:

105

Step-by-step explanation:

$40 - $19.95 = $20.05

$20.05 divided by 0.19 (19¢) = 105.526316

Answer:

105 miles

Step-by-step explanation:

40-19.95= 20.05

20.05/.19= 105.5263157895

round down to 105 miles

I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?

Answers

9514 1404 393

Answer:

  A.  -1

Step-by-step explanation:

The table shows that g(x) = 0 for x = -1.  (third row)

The other solution is x = -1.

You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis

Answers

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

if sin (A+B)=1 and tan (A-B)=1/sqroot 3

are acute angles. find out the value of A and B​

Answers

Answer:

A = 60° , B = 30°

Step-by-step explanation:

[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]

                   [tex]A = 60^\circ[/tex]

[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]

                 

How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonreal solutions

Answers

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

Answer:

Solution given:

7x²-4x+3=0

taking common 7

7(x²+4/7*x+3/7)=0

x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0

(x+2/7)²=-17/49

x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]

x=±√(17)/7-2/7

taking positive

x=√(17)/7-2/7

x=0.39

taking positive

x=-√(17)/7-2/7

x=-0.87

2:unreal number

Module 07: Project Option 1
Instructions
First, you need to come up with an activity. If you are having trouble thinking of what to do, here are some ideas:
• How many jumping jacks can you do in a minute?
• How many times can you write your full address in a minute?
• How many points can you score in a game in three minutes?
• How many pages of a book can you read in four minutes?
• How far can you walk in five minutes?
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Now that you have decided what your activity is going to be, it’s time to get started.

Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
2. How long did you spend doing your activity?
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
4. Which of these variables is your dependent variable?
5. Which one is the independent variable?
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

(Questions 1 to 3 are worth 1 point each; questions 4 to 6 are worth 2 points each.)
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)
0 0
1
2
3
4
5

Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

Follow-up questions

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
8. How long would it take you to reach 100 for the number of times you did your activity?
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

Answers

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function

[tex]y = f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x) = 24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]

[tex]y: \text{number of suburis}[/tex]

[tex]x: \text{time}[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n }.
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u k = + (2,3, 1) 2 là một tổ hợp tuyến tính của W , và suy ra [ ] u W

Answers

B

Only answering for points don’t take it seriously

Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?

Answers

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a​

Answers

Answer:

Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture

Can someone please help? U get points just from typing and I would really appreciate it.


The sum of two consecutive numbers is 131. What are the two numbers?
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131


No links or fake answers pls. Thank you for understanding.

Answers

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)​

Answers

Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

You have been assigned to conduct a survey of college and career intentions of high school students at a local high school. You need to start by drawing a simple random sample of 40 students. Which of the following is most likely to produce a simple random sample?

a. Select the first 40 students to enter the library.
b. Select every 10th student entering the school cafeteria until 40 students are selected.
c. Select 40 students at random (by using software) from the official school roster.
d. Select 10 each of first-year, second-year, third-year, and fourth-year students.
e. Select the first 40 students to arrive at school in the morning

Answers

Answer:

Textbook Solutions

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mathstatistics and probabilitystatistics and probability questions and answersProblem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High ...

Question: Problem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High School Students At A Local High School. You Need To Start By Drawing A Simple Random Sample Of 40 Students. Which Of The Following Is Most Likely To Produce A Simple Random Sample? Select The First 40 Students To Enter The Library Select Every 10th Student ...

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Problem 9 You have been assigned to conduct a survey of college and career intentions of high school students at a local high

Show transcribed image text

Step-by-step explanation:

how do i solve for
(2x/5)+1=13/5

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{2x}{5} +1 = \frac{13}{5}[/tex]  [tex]\frac{2x+5}{5} = \frac{13}{5}[/tex] divide both sides by 52x + 5 = 13 subtract 5 from both sides2x = 8 divide both sides by 2x = 4

Graph the solution to the following linear inequality in the coordinate plane. 5 x - y > -3

Answers

Given:

The inequality is:

[tex]5x-y>-3[/tex]

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

[tex]5x-y>-3[/tex]

The related equation for this inequality is:

[tex]5x-y=-3[/tex]

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

[tex]5(0)-(0)>-3[/tex]

[tex]0>-3[/tex]

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

The triangles shown below must be congruent.
10
80°
10
810
81
A. True
B. False

Answers

Answer:

It is TRUE

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles

PLS MARK BRAINLIEST

Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?

Answers

Answer:

6 days

Step-by-step explanation:

1 L = 1000 mL

3 days = 1500 mL = 1.5 L

9 L divided by 1.5 L = 6 days

There are 12 marbles in a bag. 3
are green, 4 are blue, 3 are
yellow and 2 are red. One marble
is picked at random. What is the
probability that this marble is
blue?

Answers

Answer:

1/3 is the probability for the blue marbal

h(x)=6/(x-3), find h(5)

Answers

h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.

We are given the function h(x) below:

[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]

Substitute x = 5 in the equation.

[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]

Simplify in the simplest form.

[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]

Thus h(5) is 3.

Answer

h(5) = 3

Hope this helps! Let me know if you have any doubts.

M∠1 is less than m∠2 by 40 degrees. What is m∠1 and m∠2

Answers

M2 would be 5 over but not enough

You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. Give your answer as a decimal, to two places

Answers

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Thus, Margin of error  = [tex]Z_{critical}[/tex] × σ / √n  ([tex]Z_{critical}[/tex] at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

what is the area of Ghana?​

Answers

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

How would you classify the number 121?


A. Perfect square

B. Perfect cube

C. Both a perfect square and a perfect cube

D. Neither a perfect square nor a perfect cube

Answers

A . Perfect square

Step-by-step explanation:

This is your answer

Hope this helps you :)

Answer: B- Perfect cube

Step-by-step explanation: I am smort

Which of the following is equal to the ratio 5cm:5m:0.02km?

A. 10: 400 C. 1: 100: 400

B. 300:2000 D. 10: 500

Answers

Answer:

Its C. When you are getting ratios, we need to convert the units too...

The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

We have to given that;

The ratio is,

⇒ 5cm:5m:0.02km

Now, We can simplify the ratio as;

⇒ 5 cm : 5 m : 0.02 km

⇒ 5 cm : 5 x 100 cm : 0.02 x 100000

⇒ 5 cm : 500 cm : 2000 cm

⇒ 1 : 100 : 400

Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,

⇒ 1 : 100 : 400

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches

Answers

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

Answer:

the answer is B: 7.7 inches

Step-by-step explanation:

did the test go 100%

PLS HELP! If f(x) = 3x2 – 2x – 11, what is the value of f(-3)?

Answers

9514 1404 393

Answer:

  22

Step-by-step explanation:

Put -3 where x is and do the arithmetic.

  f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11

  f(-3) = 22

_____

Additional comment

Sometimes evaluation is easier if you rewrite the polynomial in Horner form:

  f(x) = (3x -2)x -11

  f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22

If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?​

Answers

Answer:

the side length of the hot tub = 4.8ft

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Square A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

i hope this helps you

The length of the one side of the hot tub is 4.8 ft.

What is Scale Factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.

If the each side of the pool is 24 ft.

The length of one side of hot tub = 24/5 = 4.8 ft.

Thus, the length of the one side of the hot tub is 4.8 ft.

Learn more about Scale Factor from:

https://brainly.com/question/22312172

#SPJ2

Which equation represents the slope-intercept form of the line below?
.
y-intercept = (0, 2)
slope = -
O A. y=-x-2
O B. y=-3x+2
C. y=2x-3

Answers

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

Other Questions
Any help , and thank you all 20 POINTS PLEASE ANSWER! 2x=84 what is the value of x to form 5 - 4x from x : to solve 5 - 4x = 17: the solution to the equation 5-4x=17 is : Se supone que la gente es feliz, pero y si no lo fuera? A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list. The researcher gets the complete list from the Census Bureau and uses a computer to randomly selc 2000 people. The researeher makes sure that the proportion of respondents from each state matches the propontion of each state's population to the US population The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question. a. Stratified Sampling b. Systematic Sampling c. Simple Random Sampling d. Cluster Sampling e. Convenience Sampling Hint: Sampling Methods License Points possible: 1 This is attempt 1 of 1. Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown? Read the paragraph.[1] Thomas Paine, a pivotal figure in the American Revolution, was born in Britain in 1737. [2] When he was in his mid-thirties, he met Benjamin Franklin in London. [3] Franklin helped Paine move to Philadelphia, where he pursued a career in journalism, he became the editor of Pennsylvania Magazine. [4] In 1776, Paine authored a pro-independence pamphlet called Common Sense, which was widely read throughout the colonies.Which sentence should be revised to improve this paragraphs sentence fluency?sentence 1sentence 2sentence 3sentence 4 What is the value of x?90A 110B135C 315D5221051451150130 What is the slope of the line represented by the equation y=-1/2x+1/4? The quotient of a number and 3, increased by 4 is 5, what is the expression what is the world doing to stop climate change and will it be enough? Laura has been using the same exercise routine for the past four weeks, and she has noticed her performance has not improved during the sixth week. Identify the performance stage Laura has reached.A. ResistanceB. Platea C. PaceD. Progression 10. Began"The following sentence uses which principal part of the verb?They began work at the crack of dawn.A. pastB. presentC. present participleD. past participle will mark as brainliest! y=acos(b(x-c))+d give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx Briefly describe the involvement of a sport management and marketing agency in client marketing and product endorsement. A student tests a solid sample of a compound and determines that it does not conduct electriccurrent. When the compound is dissolved in water, the solution does conduct electric currentWhat type of bonding does the compound have?a.non polar covalentb.ionicc.polar covalentd.metallic Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.0.090.130.250.32 When you apply _______ you insert a number slightly above the the line of textA. SubscriptB. Underlining C. SuperscriptD. Text effects Please help I am confused. (30 points)Module 2: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum. Question: Triangle ABC: A(0, -1), B(0, 3) C(-3, 3) is transformed to triangle A'B'C': A'(5,0) B'(2,4) C'(5,4). Is this transformation a rigid motion? Explain how you know whether it is a rigid motion or not.