Which of the following best describes the English expression the product of 2 and a number minus 11

Answers

Answer 1

Answer:

2x-11

Step-by-step explanation:

The product of something means multiplication, and since we are only given one number we can use the variable x to represent it. And minus 11 is obviously subtraction, so we can put together the expression 2x-11.


Related Questions

ASAP NEED HELP PRETTY PLEASEAssuming that the petals of the flower are congruent, how many lines of symmetry does the figure have? A. 0 B. 4 C. 6 D. 8

Answers

Answer:

Hey there!

This flower has 8 lines of symmetry.

Hope this helps :)

how would i find the mean of the histogram?

Answers

Answer:

You count the amount in each section, add them all together and divide by the total amount of variables used to find the mean. for example, if you had the numbers 3, 5, 8, and 4, the mean would be (3+5+8+4)= 5

Step-by-step explanation:

Is the area of this shape approximately 101 cm ? If not, give the correct area,

true
false

Answers

false i think
because 11x11=121
and the part where there is missing its 5x2 which is 10
121-10 is 111
so no i dont think it’s approximately 101cm

What is the simplified expression for...

Answers

Answer:

3^2

Step-by-step explanation:

=3^3+3/3^4

=3^6/3^4

=3^6-4

=3^2

Answer:

The answer is option C.

Step-by-step explanation:

Use the rules of indices. When the are the same and are multiplying we add the exponents if they are dividing we subtract the exponents.

That's

[tex] \frac{ {3}^{3} \times {3}^{3} }{ {3}^{4} } \\ = \frac{ {3}^{3 + 3} }{ {3}^{4 } } \\ = \frac{ {3}^{6} }{ {3}^{4 } } \\ = {3}^{6 - 4} \\ \\ = {3}^{2} [/tex]

Hope this helps you

3/(2x-1)+4=6x/(2x-1)

Answers

Answer: x = 1/2

Explanation:
3/(2x-1)+4=6x/(2x-1)

Make both sides has the same denominator:

3/2x-1 + 4(2x-1)/(2x-1) = 6x/2x-1

Cut down all the denominator:

3 + 8x -4= 6x
8x - 1 = 6x
2x = 1
X= 1/2

The monthly profit for a company that makes decorative picture frames depends on the price per frame. The company determines that the profit is approximated by f(p)= -80p + 3440p -36,000, where p is the price per frame and f(p) is the monthly profit based on that price.

Requried:
a. Find the price that generates the maximum profit.
b. Find the maximum profit.
c. Find the price(s) that would enable the company to break even.

Answers

Answer:

a. $21.50

b. $980

c. $25 and $18

Step-by-step explanation:

a. The price that generates the maximum profit is

In this question we use the vertex formula i.e shown below:

[tex](-\frac{b}{2a}, f(-\frac{b}{2a} ))\\\\[/tex]

where a = -80

b = 3440

c = 36000

hence,

P-coordinate is

[tex](-\frac{b}{2a}, (-\frac{3440}{2\times -80} ))\\\\[/tex]

[tex]= \frac{3440}{160}[/tex]

= $21.5

b. Now The maximum profit could be determined by the following equation

[tex]f(p) = 80p^2 + 3440p - 36000\\\\f($21.5) = -80(21.5)^2 + 3440(21.5) - 36000\\\\[/tex]

= $980

c. The price that would enable the company to break even that is

f(p) = 0

[tex]f(p) = -80p^2 + 3440p - 36000\\\\-80p^2 + 3440p - 36000 = 0\\\\p^2 -43p + 450 = 0\\\\p^2 - 25p - 18p + 450p = 0\\\\p(p - 25) - 18(p-25) = 0\\\\(p - 25) (p - 18) = 0[/tex]

By applying the factoring by -50 and then divided it by -80 and after that we split middle value and at last factors could come

(p - 25) = 0 or (p - 18) = 0

so we can write in this form as well which is

p = 25 or p = 18

Therefore the correct answer is $25 and $18

How do I construct bisectors, angles, & segments?

Answers

Answer:

Step-by-step explanation:

These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.

1. Angle construction:

Given an angle. construct an angle congruent to the given angle.

Given: Angle ABC

Construct: An angle congruent to angle ABC

Procedure:

1. Draw a ray. Label it ray RY.

2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.

3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.

4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.

5. Draw ray RQ.

Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.

You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.

what is 9 - 4 1/12 ??? im so stupid smh

Answers

Answer:

4 11/12

Step-by-step explanation:

Well 9 - 4 1/12 is 4 11/12

Find the point, Q, along the directed line segment AB that
divides AB into the ratio 2:3. The 2:3 ratio means that the line
should be broken up in to 5 equal sections (2 + 3 = 5). This
means that each of the 5 sections can be represented by the
expression AB/5. Therefore, the point that divides AB into the
ratio 2:3 is the distance (AB/5)(2) from A.

Answers

Answer:

Point Q is at a distance of 4.7 units from A.

Step-by-step explanation:

From the graph, AC = 10 units and BC = 6 units. Applying the Pythagoras theorem,

[tex]AB^{2}[/tex] = [tex]AC^{2}[/tex] + [tex]BC^{2}[/tex]

      = [tex]10^{2}[/tex] + [tex]6^{2}[/tex]

      = 100 + 36

     = 136

AB = [tex]\sqrt{136}[/tex]

AB = 11.6619

AB = 11.66

     ≅ 11.7 units

But point Q divides AB into ratio 2:3. Therefore:

AQ = [tex]\frac{2}{5}[/tex] × AB

     =  [tex]\frac{2}{5}[/tex] × 11.66

     = 4.664

AQ = 4.664

AQ ≅ 4.7 units

QB = [tex]\frac{3}{5}[/tex] × AB

     =  [tex]\frac{3}{5}[/tex] × 11.66

     = 6.996

QB  ≅ 7.0 units

So that point Q is at a distance of 4.7 units from A.

The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m. To the nearest meter, what is the distance from the top left corner of the foundation to the bottom right corner?

Answers

Answer:

27m

Step-by-step explanation:

It's the Pythagorean Theorem.

20^2+18^2=c^2

400+324=c^2

724=c^2

take the square root of both sides

26.9m=c

to the nearest meter = 27

What is the equation of the line graphed below?

Answers

y=3x-2

That’s the answer

Solve the equation -4x + 7 y equals 20. Y=3x+15

Answers

Substitue what y equals for y and solve.

[tex]

-4x+7(3x+15)=20 \\

-4x+27x+105=20 \\

23x=-85 \\

x=-\boxed{\frac{85}{23}}

[/tex]

Hope this helps.

A comprehensive survey released by a college reports that the true proportion of all students at the college who use drugs is 0.3. You survey 100 students in your dorm and record that the proportion of students who use drugs is 0.15. The proportion of all students at this college who use drugs is a

Answers

Complete Question

The proportion of all students at this college who use drugs is a_____and the proportion of students who use drugs in your dorm is a _____ .

Options

a. statistic; parameter b. parameter; statistic c. population; sample d. measure of central tendency, measure of variability e. none of the above

Answer:

b. parameter; statistic

Step-by-step explanation:

A parameter is a summary of data for an entire population.

Statistic, on the other hand, summarizes data for a sample of the population.

The proportion of all students at this college who use drugs is a parameter and the proportion of students who use drugs in your dorm is a sample.

The correct option is B

please help me, i will give you brainliest

Answers

Answer:

52°i think

Step-by-step explanation:

148°-96°=52°

Answer:

The answer is below

Step-by-step explanation:

The answer is 52 degrees

The third option in the line

Hope the answer helps

plz give me correct answers ​

Answers

Answer:

Step-by-step explanation:

greatest number=8643

smallest number=3468

difference=8643-3468=5175

6.1.  DCCLVI

CDXCIV

(II) 74,746

Find the sample size needed to estimate the percentage of Democrats among registered voters in Texas. Use a 0.01 margin of error, and use a confidence level of 96% and assume LaTeX: \hat{p}
p
^
=0.28.

Answers

Answer:

Step-by-step explanation:

Hello!

You have to determine the sample size to take to estimate the population proportion of Democrats among registered voters in Texas for a 96% interval with a margin of error of 0.01 and sample proportion p'= 0.28

The interval for the population proportion is

p' ± [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

The margin of error of the interval is:

d= [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

[tex]\frac{d}{Z_{1-\alpha /2}}= \sqrt{\frac{p'(1-p')}{n} }\\(\frac{d}{Z_{1-\alpha /2}} )^2= \frac{p'(1-p)}{n} \\n*(\frac{d}{Z_{1-\alpha /2}} )^2= p'(1-p)\\n= p'(1-p)*(\frac{Z_{1-\alpha /2}}{d} )^2\\[/tex]

[tex]Z_{1-\alpha /2}= Z_{0.98}= 2.054[/tex]

[tex]n= 0.28*(1-0.28)*(\frac{2.054}{0.01} )^2= 8505.33[/tex]

n= 8506 voters

I hope this helps!

What is the initial value of the exponential function
shown on the graph
0,1,2,4​

Answers

answer is 2 I've done this question before

Answer:

the initial value us 2

Step-by-step explanation:

It is the starting pt...

Which measure would be the most appropriate to describe the center of the data in the histogram below? A bar graph entitled Daily High Temperatures has high temperatures on the x-axis and number of days on the y-axis, from 0 to 20. Temperatures were between 50 and 54 on 2 days; between 55 to 59 on 3 days; between 60 and 64 on 3 days; between 65 to 69 on 18 days; between 70 to 74 on 3 days. a) mean b) range c) median d) interquartile

Answers

Answer:

C) median

Step-by-step explanation: test on ed

The most appropriate to describe the center of the data in the histogram is the median

What is an histogram?

Histograms are graphs that are used to represent data, where the length of the bars represent the frequency

The data on the histogram are:

Between 50 and 54 on 2 days; Between 55 and 59 on 3 days; Between 60 and 64 on 3 days; Between 65 and 69 on 18 days

In the above dataset, the frequency 18 is an outlier because 18 is relatively larger than the remaining frequencies (2 and 3)

The measure of center to represent a dataset with an outlier is the median.

Hence, the most appropriate to describe the center of the data in the histogram is the median

Read more about histograms at:

https://brainly.com/question/9548701

Find the Area of this shape

Answers

Answer:

42.5

Step-by-step explanation:

see attached image.

Answer:

42.5

Step-by-step explanation:

So first we have to split this shape into many parts

The simplest way we can do that is by simply drawing a line between the small square and the big rectangle.

Now we calculate the area of each part.

1. Big rectangle

--> So we would just simply multiply the length and width for this one which is 3.5 by 9 --> 3.5 x 9 = 31.5

2. (Left) Right Triangle

Since it's a right triangle we can simply multiply it's L and W then divide by 2

--> 2 x 2 = 4 --> 4/2 = 2

3. (Right) Right Triangle

Same way as previous right triangle l x w / 2

--> 2 x 5 = 10 --> 10/2 = 5

4. Square (Bottom)

And lastly, we have the small square at the bottom

--> l x w = area.

-->given 9 = 2 + x + 5,

x = 9 - 7 --> x = 2

so, 2 x 2 = area --> . 4

Calculate the actual area. of the whole entire shape -->

So this is very simple we just add the area of the shapes (area) we calculated below.

--> 31.5 + 2 + 5 + 4

--> Add parenthasees 31.5 + (2 + 5 + 4)

[To make calculating simpler]

=> 11 + 31.5

=> 32.5 + 10

=> 42.5

Hope this helps!

there are 480 students in a class. the ratio of boys to girls is 1:3. How many more girls than boys are in the class?

Answers

Answer : there are 240 girls more than boy

Explanation:
Find boy: 480 x 1/4 = 120
Find girl: 480-120=360
So the difference between girl and boy:
360-120=240

The line x + y - 6= 0 is the right bisector
of the segment PQ. If P is the point (4,3),
then the point Q is

Answers

Answer:

Therefore, the coordinates of point Q is (2,3)

Step-by-step explanation:

Let the coordinates of Q be(a,b)

Let R be the midpoint of PQ

Coordinates of R [tex]=(\frac{4+a}{2}, \frac{3+b}{2})[/tex]

R lies on the line x + y - 6= 0, therefore:

[tex]\implies \dfrac{4+a}{2}+ \dfrac{3+b}{2}-6=0\\\implies 4+a+3+b-12=0\\\implies a+b-5=0\\\implies a+b=5[/tex]

Slope of AR X Slope of PQ = -1

[tex]-1 \times \dfrac{b-3}{a-4}=-1\\b-3=a-4\\a-b=-3+4\\a-b=-1[/tex]

Solving simultaneously

a+b=5

a-b=-1

2a=4

a=2

b=3

Therefore, the coordinates of point Q is (2,3)

"Currently, only 20 percent of arrested drug pushers are convicted", cried candidate AK in a campaign speech. "Elect me and you'll see a big increase in convictions" A year after his election a random sample of 144 case files of arrested drug pushers showed 36 convictions. For a right-tailed test, find the p-value. A. 0.12 B. 0.07 C. 0.06 D. 0.04

Answers

Answer:

B. 0.07

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of convicted drug pushers is significnalty higher than 20%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.2\\\\H_a:\pi>0.2[/tex]

The sample has a size n=144.

The sample proportion is p=0.25.

[tex]p=X/n=36/144=0.25[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{144}}\\\\\\ \sigma_p=\sqrt{0.001111}=0.0333[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi}=\dfrac{0.25-0.2}{0.0333}=\dfrac{0.05}{0.0333}=1.5[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>1.5)=0.066\approx0.07[/tex]

Find the first four nonzero terms in a power series expansion about xequals0 for the solution to the given initial value problem. w prime prime plus 3 xw prime minus wequals​0; ​w(0)equals4​, w prime (0 )equals0

Answers

Answer:

The first four terms are;

w(x)= 4 + 2x² - ⁵/₆x⁴+ ¹¹/₃₆x⁶ +......

Step-by-step Explanation:

This is the interpretation of the question

w″ + 3xw′ -w=0

W(0)=4

W′(0)=0

CHECK THE ATTACHMENT FOR STEP BY STEP EXPLANATION

Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amounts she spent in each category are pictured here. Rent $433 Food $320 Fun $260 Other $487 What percent of her total spending did she spend on Rent? % (Please enter your answer to the nearest whole percent.) What percent of her total spending did she spend on Food? % (Please enter your answer to the nearest whole percent.) What percent of her total spending did she spend on Fun? % (Please enter your answer to the nearest whole percent.)

Answers

Answer: Rent = 29%,  Food = 21%,    Fun = 17%

Step-by-step explanation:

Rent =     $433

Food =    $320

Fun =       $260

Other =   $487  

TOTAL = $1500

[tex]\dfrac{Rent}{Total}=\dfrac{433}{1500}\quad =0.2886\quad =\large\boxed{29\%}\\\\\\\dfrac{Food}{Total}=\dfrac{320}{1500}\quad =0.2133\quad =\large\boxed{21\%}\\\\\\\dfrac{Fun}{Total}=\dfrac{260}{1500}\quad =0.1733\quad =\large\boxed{17\%}[/tex]

The solutions to the inequality y < to -x+1 sre shaded on the graph. Which point is a solution

Answers

Answer:  B.  (3,-2)

There are two ways to confirm this is the answer. The first is to note that (3,-2) is on the boundary, so it is part of the solution set. This only works if the boundary line is a solid line (as opposed to a dashed or dotted line).

The second way is to plug (x,y) = (3,-2) into the given inequality to find that

[tex]y \le -x+1\\\\-2 \le -3+1\\\\-2 \le -2[/tex]

which is a true statement. So this confirms that (3,-2) is in the solution set of the inequality.

Not sure how to solve this

Answers

Step-by-step explanation:

You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.

a bank teller has 340 one hundred dollar bills. how much money does the bank teller have?

Answers

Answer:

$34,000

Step-by-step explanation:

Since a one hundred dollar bill is equal to 100, we simply multiply 340 and 100 together:

340(100) = 34000

A backyard swimming pool measure 15 ft, by 24 ft and 5 ft deep. The pool has a leak and is losing water at a rate of 4 inches per day. If the owner does not refill the water, in how many days will it be empty?

Answers

Answer:

15 days

Step-by-step explanation:

The pool is 5 ft deep.

5 ft * 12 in/ft = 60 in

The pool is 60 inches deep.

60 in/4 in = 15

Answer: 15 days

If Aequals[Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column negative 4 2nd Row 1st Column negative 4 2nd Column 5 EndMatrix ] and ABequals[Start 2 By 3 Matrix 1st Row 1st Column negative 10 2nd Column 1 3rd Column 9 2nd Row 1st Column 7 2nd Column negative 15 3rd Column 8 EndMatrix ]​, determine the first and second columns of B. Let Bold b 1 be column 1 of B and Bold b 2 be colum

Answers

Answer:

[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right),b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]

Step-by-step explanation:

Given matrix A and AB below:

[tex]A=\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\\\\\\ AB=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]

For the product AB to be a 2 X 3 matrix, B must be a 2 X 3 matrix.

Let matrix B be defined as follows

[tex]B=\left[\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right][/tex]

Therefore:

[tex]\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\left(\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right)=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]

This results in the equations

a-4b=-10-4a+5b=7c-4d=1-4c+5d=-15

Solving the first two equations simultaneously

a-4b=-10  (a=-10+4b)

-4a+5b=7

Substitution of [tex]a=-10+4b[/tex] into the second equation

[tex]-4(-10+4b)+5b=7\\40-16b+5b=7\\-11b=-33\\b=3[/tex]

Recall that  [tex]a=-10+4b[/tex]

[tex]a=-10+4(3)=-10+7\\a=-3[/tex]

Solving the other two equations

c-4d=1 (c=1+4d)

-4c+5d=-15

Substitution of c=1+4d into the second equation

[tex]-4(1+4d)+5d=-15\\-4-16d+5d=15\\-11d=19\\d=-\dfrac{19}{11}\\ Recall: c=1+4d\\c=1+4(-\frac{19}{11})\\c=-\dfrac{65}{11}[/tex]

Therefore, we have:

[tex]a=-3, b=3, c=-\dfrac{65}{11}, d=-\dfrac{19}{11}[/tex]

Thus:

[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right)\\\\\\b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]

Answer:

option c

Step-by-step explanation:

it is said that a computer repairman makes 25 dollars per hour

this column shows the right amount of money he earns per hour

Which of the following options have the same value as 30\%30%30, percent of 818181?

Answers

Answer:

Option B is correct = [tex]0.3 \times 81[/tex]

Step-by-step explanation:

The complete question is: Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) [tex]\frac{30}{100}\times 81 \times 100[/tex]

(B) [tex]0.3 \times 81[/tex]

(C) [tex]0.03 \times 81[/tex]

(D) [tex]\frac{3}{10}\times 81 \times 10[/tex]

(E) [tex]30 \times 81[/tex]

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  [tex]\frac{30}{100} \times 81[/tex]

                     =  [tex]\frac{3}{10} \times 81[/tex]  =  [tex]0.3 \times 81[/tex]

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

[tex]\frac{30}{100}\times 81 \times 100[/tex]  =  [tex]30 \times 81[/tex]

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

[tex]0.3 \times 81[/tex]  

This matches with our answer, so this option is correct.

Option (C) is given;

[tex]0.03 \times 81[/tex]  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

[tex]\frac{3}{10}\times 81 \times 10[/tex]  =  [tex]3 \times 81[/tex]

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

[tex]30 \times 81[/tex]  

This doesn't match with our answer, so this option is not correct.

Other Questions
One of the easiest methods of diversifying away firm-specific risks is to: Multiple Choice build a portfolio with 40 to 55 individual stocks. buy only stocks with a beta of 1.0. purchase stocks that plot above the security market line. purchase the shares of an index fund. Epolito Corporation incurred $87,000 of actual Manufacturing Overhead costs during September. During the same period, the Manufacturing Overhead applied to Work in Process was $89,000. The journal entry to record the incurrence of the actual Manufacturing Overhead costs would include a:a. debit to Work in Process of $89,000b. credit to Manufacturing Overhead of $87,000c. debit to Manufacturing Overhead of $87,000d. credit to Work in Process of $89,000 Four times the difference of 17 and a number is 84.Which equation below can be used to find the unknown number?A) 4(17)- n = 84B) 4 - 17n = 84C) 17 - 4n = 84D) 4 (17- n) = 84 The description and scope section of a statement of work would contain statements regarding: Major milestones. Termination of project information. Environmental risks. Expected benefits. Identify the chemical change below. A. Two pieces of paper are stapled together. BA large log is cut into boards. O A piece of wood burns in a fire. D. Water is removed by drying wet clothes on a laundry line. hich of the following choices best represents a policy of isolationism?The U.S. entered World War I to protect European countries.The U.S. declared war on Japan after Pearl Harbor was bombed.The U.S. did not interfere when Hitlers army began to take over Europe.None of these choices are correct. 1.- The X Ray is radiation of type.a. alfab. Gammac Neutrones.d. All What term refers to an educated prediction of what the financial situation is likely to be in the relatively near future?A. ForecastB. BudgetC. ReportD. Risk analysis What is 102484838+w is equal to what I need help ASAP Why was Wiesel invited to the White House? A penny is dropped onto a rectangular surface. If it is equally likely for the penny to land anywhere inside the large rectangle, what is the probability that all or part of the penny will come to rest inside the shaded area? Round your answer to the nearest whole percent. A. 23% B. 26% C. 30% D. 32% 3/5 times by 210 equals A commercial diffraction grating has 500 lines per mm. Part A When a student shines a 480 nm laser through this grating, how many bright spots could be seen on a screen behind the grating Which of the following is equivalent to (x+4)(3x^2+2x)? Find the slope-intercept form of the line with slope 6 that passes through the point (3,5). Question 4 Multiple Choice Worth 2 pointsWhat is the rate of change and initial value for the linear relation that includes the points shown in the table?XY3456789O Initial value: 1, rate of change: 2O Initial value: 1, rate of change: 1O Initial value: 2, rate of change: 2O Initial value: 3, rate of change: 2action at the end of the football season A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $275 on these 2 legs of the trip? Scientists use statistics to- all of the above- graph data.- analyze datacommunicate ideas to each other. Entries for Issuing Bonds and Amortizing Premium by Straight-Line MethodDaan Corporation wholesales repair products to equipment manufacturers. On April 1, 2016, Daan Corporation issued $7,900,000 of 7-year, 10% bonds at a market (effective) interest rate of 7%, receiving cash of $9,194,083. Interest is payable semiannually on April 1 and October 1.a. Journalize the entry to record the issuance of bonds on April 1, 2016. For a compound transaction, if an amount box does not require an entry, leave it blank.CashPremium on Bonds PayableBonds Payableb. Journalize the entry to record the first interest payment on October 1, 2016, and amortization of bond premium for six months, using the straight-line method. The bond premium amortization is combined with the semiannual interest payment. (Round to the nearest dollar.) For a compound transaction, if an amount box does not require an entry, leave it blank.Interest ExpensePremium on Bonds PayableCash