This table shows a linear relationship.
The slope of the line is ?

This Table Shows A Linear Relationship.The Slope Of The Line Is ?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

2,8 to 4,12 has a rise of 4 and a run of 2.

4/2 = 2

The slope is 2.

Remember rise/run!

Answer 2

Answer:

2

Step-by-step explanation:

We take take two points and use the slope formula

m = (y2-y1)/(x2-x1)

m = (12-8)/(4-2)

   = 4/2

   = 2


Related Questions

Jessica is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 5/12. Find the probability of Jessica receiving a gift.

Answers

Answer:

5/17

Step-by-step explanation:

This is a question to calculate probability from odds. The formula is given as:

A formula for calculating probability from odds is P = Odds / (Odds + 1)

From the question , we are told that the odds of receiving a gift is

= 5:12

The probability of Jessica receiving a gift =

Probability = Odds / (Odds + 1)

P = 5/12 / ( 5/12 + 1)

P = (5/12)/ (17/12)

P = 5/12 × 12/17

= 5/17

Therefore, the probability of Jessica. receiving a gift is 5/17.

You need a shelf for a small space in your house, so you make a measurement with your meter stick and head to the store. Once there, you find that the dimension of the shelves you want is given in cm. If your space measured 0.8 m, and the shelves at the store measure 30 cm, answer the following questions: 1) How many meters wide is the shelf you want to buy? 2) Will it fit in your house? yes no

Answers

Answer:

1. 0.3 m

2. yes

Step-by-step explanation:

The computation is shown below:

Given that

Measurement of space = 0.8m

measurement of the shelves = 30 cm = 0.3 m as 1 m = 100 cm

So for 30 cm it would be

= 0.30 ÷ 100

= 0.3 m

Based on the above information,

1. The number of meters wide for the shelf to buy is 0.3 m

2 And yes it is fitted in the house

Using the required conversion metrics, the width of the shelf at the stis 0.3 meters and will not fit in the house.

Given the Parameters :

Measured width = 0.8 mStore width = 30 cm

Using the appropriate metric conversion values :

100 cm = 1 m

Converting the store measurement into meters :

30 cm ÷ 100 = 0.3 meters

Hence, the shelf you want to purchase measures 0.3 meters.

Since, the measured width and the width of the shelf at the store are different, then the shelf will not fit in.

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(SAT Prep) Find the value of x.

Answers

Answer:

The value of x is 30°

Step-by-step explanation:

We are given that the outer angle of the parallelogram is 60 degrees. Therefore it's respective inner angle will be 180 - 60 = 120 degrees. And, by properties of a parallelogram, the angle opposite to this angle will be 120 degrees as well.

If we draw extend the line creating angle 2x, then we will make ( 1 ) a vertical angle to 2x, ( 2 ) a 90 degree angle, and ( 3 ) and angle that we can let be y. Therefore, 2x + y = 90, and 3x + y = 120.

[tex]\begin{bmatrix}2x+y=90\\ 3x+y=120\end{bmatrix}[/tex] ,

[tex]\begin{bmatrix}6x+3y=270\\ 6x+2y=240\end{bmatrix}[/tex] ,

[tex]6x+2y=240\\-\\\underline{6x+3y=270}\\y=30[/tex],  

[tex]2x + (30) = 90,\\2x = 60,\\x = 30[/tex]

Solution : x = 30°

Answer:

x = 30

Step-by-step explanation:

a+ 60 = 180

a = 120

3x+b = 120  because opposite angles in a parallelogram are equal

2x+90+b = 180 since it forms a line

2x+b = 90

We have 2 equations and 2 unknowns

3x+b = 120

2x+b = 90

Subtracting

3x+b = 120

-2x-b = -90

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

x = 30

Find the interest on a Principal Balance of $10,000 over the course of eight years with an interest rate of 5.5%. Do this for: Simple Interest.

Answers

Answer:

Simple Interest : $ 4400

Step-by-step explanation:

We want to calculate the interest on $ 10,000, at 5.5% interest rate per year, over a course of 8 years.

We can use the simple interest formula here, or :

I = P × r × t,

Where P is the principle amount, $ 10,000, r is the interest rate, 5.5% each year, or in decimal form 5.5 / 100 = 0.055. t is the time, 8 years.

Simple Interest : 10000 × 0.055 × 8 =  $4400.00

Then again the interest can be added to the principal amount ( $10,000 ) to receive some new amount after 8 years, which is $ 14,000. However the simple interest earned in 8 years at a rate of 5.5% should be $4400.

The simple interest earned on the amount is $4,400

Interest is the total amount that would be paid or earned from making an investment or taking a loan over a period of time.

Simple Interest  = principal x time x interest rate

principal = amount borrowed = $10,000

time = 8 years

Interest rate = 5.5%

10,000 x 0.055 x 8 = $4,400

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(4x2y3)2=? thank you for the help

Answers

Answer:

Step-by-step explanation:

2 3x2y3

You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 250,823. Its current population is 325,823. By about what percentage has the city grown over the past ten years? Round to the nearest percent.

Answers

Answer:

Here is the answer i got-

Step-by-step explanation:

325823-250823=75000

325823’s 244367250percent is 75000

Simplify -2x^3 y x xy^2

Answers

Answer:

(4,4)⋅(4,4)

Step-by-step explanation:

i need help asap please

Answers

Answer:

[tex]x = -\frac{3}{2}[/tex] or [tex]x = 1[/tex]

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, [tex] 2x^2 + x - 1 = 2 [/tex] , to zero. Then factorise the left side.

Thus,

[tex] 2x^2 + x - 1 = 2 [/tex]

Subtract 2 from both sides

[tex] 2x^2 + x - 1 - 2 = 2 - 2 [/tex]

[tex] 2x^2 + x - 3 = 0 [/tex]

Factorise the left side

[tex] 2x^2 + 3x - 2x - 3 = 0 [/tex]

[tex] x(2x + 3) - 1(2x + 3) = 0 [/tex]

[tex] (x - 1)(2x + 3) = 0 [/tex]

Find the solution

[tex] x - 1 = 0 [/tex]

Or

[tex]2x + 3 = 0[/tex]

[tex] x = 1 [/tex]

Or

[tex]2x + 3 = 0[/tex]

[tex]2x = -3[/tex]

[tex]x = -\frac{3}{2}[/tex]

The answer is: [tex] x = 1 [/tex] or [tex]x = -\frac{3}{2}[/tex]

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x→9 x − 9 x2 − 81

Answers

Without resorting to L'Hopitâl's rule,

[tex]\displaystyle\lim_{x\to9}\frac{x-9}{x^2-81}=\lim_{x\to9}\frac{x-9}{(x-9)(x+9)}=\lim_{x\to9}\frac1{x+9}=\frac1{18}[/tex]

With the rule, we get the same result:

[tex]\displaystyle\lim_{x\to9}\frac{x-9}{x^2-81}=\lim_{x\to9}\frac1{2x}=\frac1{18}[/tex]

A mutual fund owns 20,000 shares in Company Y. Company Y has 2 million shares issued. In one particular year, Company Y announces annual profits of $6 million, and decides to pay dividends to its shareholders at a rate of 15% of its annual profits. How much will the mutual fund receive in the form of dividends from Company Y? Round your answer to the nearest dollar.

Answers

Answer:  $9,000

Step-by-step explanation:

Step 1

Calculate the amount of dividends the company will pay to all its shareholders.

= 15% of profits

= 15% * 6,000,000

= $900,000

Step 2

Calculate how much dividends each share will get;

$900,000 to 2 million shares of Company Y.

= 900,000/2,000,000

= $0.45

Step 3

Calculate how much the Mutual fund will get for its 20,000 shares

= 20,000 * 0.45

= $9,000

PLEASE HELP!!!!!!
Look at the triangle ABC.
A (4.5)
5
4
3
2
1
C (4.1)
B (2.1)
1 2 3
4 5
--5 -4 -3 -2 -1 0
-1
-2
-3
-4
-5
What is the length of the side AB of the triangle?
2
20
38

Answers

Answer: sqrt(20)

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

Explanation:

Count out the spaces, or use subtraction, to find the horizontal side BC is 2 units long. Similarly, you'll find the vertical side AC is 4 units long.

Use the pythagorean theorem to find the length of segment AB.

a^2 + b^2 = c^2

2^2 + 4^2 = c^2

4 + 16 = c^2

20 = c^2

c^2 = 20

c = sqrt(20)

We stop here since it matches with choice B.

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

Optionally, we can simplify like so

sqrt(20) = sqrt(4*5)

sqrt(20) = sqrt(4)*sqrt(5)

sqrt(20) = 2*sqrt(5)

Answer:

The answer is [tex]\sqrt{20}[/tex].

Step-by-step explanation:

Use the Pythagorean Theorem.  

[tex]2^{2} + 4^{2} = c^{2} \\4+16 = c^{2} \\\sqrt{20} = c[/tex]

Common ratio 2/3, -2, 6

Answers

Answer:

The common ratio is - 3

Step-by-step explanation:

To find the common ratio between the terms of the sequence divide the previous term by the next term.

That's

[tex] - 2 \div \frac{2}{3} = - 2 \times \frac{3}{2} = - 3[/tex]

Or

[tex] \frac{6}{ - 2} = - 3[/tex]

Therefore the common ratio of the sequence is - 3

Hope this helps you

Answer:

-3

Step-by-step explanation:

A plan for a dog park has a grassy section and a sitting section as shown in the figure. Which equation can be used to find the area of the grassy section?

Answers

Answer:

length times width

Step-by-step explanation:

What value of x makes this equation true?
17 5 - 7 = -4
x=
y Su
What value of x makes this equation true? X/6-7=-4

Answers

X=3 because 18/6= 3 and 3-7 is -4

Answer:

x=18

Step-by-step explanation:

x/6 - 7 = -4

x/6 = 3

(x/ 6) * 6 = 3*6

x = 18

GIVING OUT BRAINLIEST TO THE FIRST PERSON WHO ANSWERS!! I would appreciate if if you do answer though! <3

Also, include ALL work!

Answers

Answer:

The answer is option B

Step-by-step explanation:

Total number of people = 800

To find the number of unemployed people we must first find the total percentage of the pie chart

That's

25 + 10 + 5 + 60 = 100%

5 % out of the 100% are unemployed

To find the number of unemployed people divide 5 % by the total percentage that's 100% and multiply them by the total number of people

That's

[tex] \frac{5}{100} \times 800[/tex]

5 × 8

We have the final answer as

40 people

Hope this helps you

4. Create your own scenario for the variable expression below. Then, suggest values for the variables and solve. 14x + 12y​

Answers

Answer:

Cost of pencil = $20

Cost of copy = $6

Step-by-step explanation:

Statement.

Gill buys 14 copy and 12 pencils and pays a total $324, if the value of 1 copy and 1 pencil is $26, find cost of copy and pencil.

Computation:

Assume.

Cost of copy = x

Cost of pencil = y

So,

x + y = 26.......Eq1

And

14x + 12y​ = 324.........Eq2

From Eq1 ad Eq2

Cost of pencil = $20

So,

Cost of copy = $6

Niall and Zayn buy 14 concert tickets for them and their friends to go see 5sos and 12 concert tickets for them and their friends to go see Little Mix with a total cost of $648. If the value of 1 5sos ticket and 1 Little Mix ticket is $52, and the Little Mix ticket is $4 more than the 5sos ticket, find cost of both tickets.

5sos = x

Little Mix = y

52 / 2 = 26

26 - 2 = 24

26 + 2 = 26

x = 24

y = 28

5sos tickets = $24 each

Little Mix tickets = $26 each

Determine the point estimate of the population proportion and the margin of error for the following confidence interval.Lower boundequals0.212​,upper boundequals0.758​,nequals1200The point estimate of the population proportion is . 485.​(Round to the nearest thousandth as​ needed.)The margin of error is 0.273.​(Round to the nearest thousandth as​ needed.)

Answers

Answer: The point estimate of the population proportion is . 485.​

The margin of error is 0.273.

Step-by-step explanation:

Confidence interval for population proportion(p):

sample proportion ± Margin of error

Given:  Lower bound of confidence interval  = 0.212

Upper bound = 0.758

⇒sample proportion - Margin of error=0.212  (i)

sample proportion + Margin of error= 0.758  (ii)

Adding (i) and (ii) , we get

2(sample proportion) =0.970

⇒ sample proportion = 0.970÷2= 0.485

Since sample proportion is the point estimate of the population proportion.

So, the point estimate of the population proportion=  0.485

Now put sample proportion =0.485 in (ii), we get

0.485+ Margin of error= 0.758

⇒  Margin of error= 0.758 - 0.485 =0.273

i.e. The margin of error is 0.273.​

These girts stasts jogging from the same point around
acircular track and they complete one round in 24
Seconds 36 seconds and 48 seconds respectively,
After.
how much time will they meet atone point?​

Answers

Answer:

2hrs 24mins

Step-by-step explanation:

Very simple the time they will meet again at the point will be the LCM of their various time taken to complete a cycle.

Ans LCM(24, 36, 48) = 144 mins

= 2hrs 24mins

Answer:

The answer is 2 hours and 24 minutes

Step-by-step explanation:

Hope you get this right:)

A number is chosen at random from 1 to 10. Find
the probability of selecting 4 or a factor of 6.
Step by step.

Answers

Answer:

1/2

Step-by-step explanation:

The possible outcomes are

1,2,3,4,5,6,7,8,9,10

Factors of 6 are 1,2,3,6

or a 4

1,2,3,4,6 are the outcomes we want

There are 5 "good" outcomes

P( 4 or a factor of 6) = "good" outcomes/ total

                                  = 5/10

                                   =1/2

Answer:

[tex]\boxed{\frac{1}{2} }[/tex]

Step-by-step explanation:

There are total 10 outcomes.

[tex]1,2,3,4,5,6,7,8,9,10[/tex]

The probability of selecting 4 is 1 outcome out of total 10 outcomes.

Factors of 6 are [tex]1,2,3,6[/tex].

These are 4 outcomes out of total 10 outcomes.

The probability of selecting 4 or a factor of 6 is:

[tex]\displaystyle \frac{1}{10} +\frac{4}{10} =\frac{5}{10} =\frac{1}{2}[/tex]

does x-2/x-6 simplify to 1/3 ?
explain why or why not ​

Answers

Answer:

no it is not 1/3

Step-by-step explanation:

(x-2) / (x-6)

This does not simplify

Rewriting x-2 as (x-6 +4)

(x-6 +4)/ ( x-6)

Replacing x-6 as m

( m+4) /m

Simplifying

m/m + 4/m

1 + 4/m

Replacing m with x-6

1 + 4/ ( x-6)

This is not 1/3

The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft2). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y).

Temp. 174 176 177 178 178 179 180 181
Ratio 0.86 1.31 1.42 1.01 1.15 1.02 1.00 1.74
Temp. 184 184 184 184 184 185 185 186
Ratio 1.43 1.70 1.57 2.13 2.25 0.76 1.37 0.94
Temp. 186 186 186 188 188 189 190 192
Ratio 1.85 2.02 2.64 1.53 2.48 2.90 1.79 3.16
(a) Determine the equation of the estimated regression line. (Round all numerical values to five decimal places.)
y =

(b) Calculate a point estimate for true average efficiency ratio when tank temperature is 186. (Round your answer to four decimal places.)


(c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 186. (Round your answers to four decimal places.)

(186, 0.94)
(186, 1.85)
(186, 2.02)
(186, 2.64)
(d) What proportion of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables? (Round your answer to four decimal places.)

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temp. 174 176 177 178 178 179 180 181

Ratio 0.86 1.31 1.42 1.01 1.15 1.02 1.00 1.74

Temp. 184 184 184 184 184 185 185 186

Ratio 1.43 1.70 1.57 2.13 2.25 0.76 1.37 0.94

Temp. 186 186 186 188 188 189 190 192

Ratio 1.85 2.02 2.64 1.53 2.48 2.90 1.79 3.16

A)

Using the online linear regression calculator, the lie of best fit which models the data above is :

ŷ = 0.09386X - 15.55523

Where ;

X = independent variable

ŷ = predicted or dependent variable

- 15.55523 = intercept

0.09386 = gradient / slope

B)

Point estimate when tank temperature is 186

ŷ = 0.09386(186) - 15.55523

ŷ = 17.45796 - 15.55523

ŷ = 1.90273

C)

Residual error (y - ŷ), ŷ = 1.90273 when x = 186

(0.94 - 1.90273) = −0.96273

(1.85 - 1.90273) = −0.05273

(2.02 - 1.90273) = 0.11727

(2.64 - 1.90273) = 0.73727

D)

To determine the proportion of observed variation in efficiency ratio, we find the Coefficient of determination R^2, which can be found using the online Coefficient of determination calculator : the r^2 value obtained is 0.4433.

What is the opposite of the opposite of negative 52?

Answers

Answer:

-52

Step-by-step explanation:

Think of it this way.  Opposite means to take the negation.  So we are taking the negation of the negation of negative 52.  This means mathematically:

- ( - ( -52 ) ) == -52

Cheers.

plzzz help me quick will give goood rate

Answers

Answer:

Average rate of change of the function will be = (-1.5)

Step-by-step explanation:

Average rate of change of a function f(x) is determined by the formula,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex] If a < x < b

We have to find the average rate of change of a function g(t) between the interval [-3, 1]

From the given table,

For t = -3,

g(-3) = 6

For t = 1,

g(1) = 0

Therefore, average rate of change of the function in the given interval

= [tex]\frac{g(1)-g(-3)}{1-(-3)}[/tex]

= [tex]\frac{0-6}{1+3}[/tex]

= [tex]-\frac{3}{2}[/tex]

= - 1.5

Please help . I’ll mark you as brainliest if correct!

Answers

Answer:

Stocks = $15,500

Bonds = $107,250

CD's = $47,250

Step-by-step explanation:

S + B + C = 170000

.0325S + .038B .067C = 7745

60,000 + C = b

S = $15,500

B = $107,250

C = $47,250

Determine that 4/16 and 5/20 forms as proportional relationship.

Answers

Answer:

Those two are 0.25

4/16 = 1/4

5/20 = 1/4

Answer: Please Give Me Brainliest, Thank You!

4/16 = 5/20 = 1/4

Step-by-step explanation:

Because If you divide 4 and 16 by 4 you get 1/4 and if you divide 5 and 20 with 5 you get 1/4

Two friends are standing at opposite corners of a rectangular courtyard. The dimensions of the courtyard are 12 ft. by 25 ft. How far apart are the friends?

Answers

Answer:

27.73 feet

Step-by-step explanation:

Use the Pythagorean theorem. It easiest to think of the distance between the two friends as a triangle in the rectangle. One side is 12ft and the other is 25ft.

12^2+25ft^2=769

The square root of 769 is 27.73

Answer:

27.73 Ft

Step-by-step explanation:I took the test

What is the error in this problem

Answers

Answer:

The angle of elevation is not properly represented

Step-by-step explanation:

Given

The question in the attachment;

Required

Determine the error

See attachment for proper representation of the angle of elevation;

Solving further (From the Attachment)

[tex]Tan22 = \frac{x}{3000}[/tex]

Multiply both sides by 3000

[tex]x = 3000 * tan22[/tex]

[tex]x = 3000 * 0.4040[/tex]

[tex]x = 1212[/tex]

The cliff is about 1212 feet high

A survey showed that among 785 randomly selected subjects who completed four years of college, 144 of them are smokers and 84 do not smoke (based on data from the American Medical Association). Suppose you want to test at the 0.01 significance level the claim that the rate of smoking among those with four years of college is less than the 27% rate for the general population.
A. State the null and alternative hypotheses.
B. Find the sample statistic and the p-value.
C. What is your conclusion?

Answers

Answer:

We conclude that the rate of smoking among those with four years of college is less than the 27% rate for the general population.

Step-by-step explanation:

We are given that a survey showed that among 785 randomly selected subjects who completed four years of college, 144 of them are smokers.

Let p = population proportion of smokers among those with four years of college

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 27%      {means that the rate of smoking among those with four years of college is more than or equal to the 27% rate for the general population}

Alternate Hypothesis, [tex]H_A[/tex] : p < 27%      {means that the rate of smoking among those with four years of college is less than the 27% rate for the general population}

The test statistics that will be used here is One-sample z-test for proportions;

                             T.S.  =  [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]  ~   N(0,1)

where, [tex]\hat p[/tex] = sample proportion of smokers = [tex]\frac{144}{785}[/tex] = 0.18

           n = sample of subjects = 785

So, the test statistics =  [tex]\frac{0.18-0.27}{\sqrt{\frac{0.27(1-0.27)}{785} } }[/tex]

                                     =  -5.68

The value of z-test statistics is -5.68.

Also, the P-value of the test statistics is given by;

             P-value = P(Z < -5.68) = Less than 0.0001

Now, at a 0.01 level of significance, the z table gives a critical value of -2.3262 for the left-tailed test.

Since the value of our test statistics is less than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the rate of smoking among those with four years of college is less than the 27% rate for the general population.

Simple linear regression methods can be used for studying relationship among maximum five variables. True False

Answers

Answer:

False.

Step-by-step explanation:

In a data where two variables are observed simultaneously, such data is termed to be Bivariate Data. When this data are represented graphically, such a diagrammatic representation is called scatter diagram. In a scatter diagram, all the points lie on or near one particular line. This line is called the regression line.

Recall that the equation for a straight line in the gradient intercept form is y = ax+b .

As an approximation , one can fit the regression line by first computing x and y. The regression line should pass through (x,y) in such a way that the remaining scatter points are evenly distributed on both sides of the line. Therefore, Simple linear regression methods can be used for studying relationship among maximum five variables is a false statement.

g When conducting a one-way ANOVA, the _______ the between-treatment variability is when compared to the within-treatment variability, the __________the value of the F statistic will be which gives us ________ evidence against the null. (Choose all that apply)

Answers

Answer:

One - way ANOVA, the smaller the between treatment

The smaller the value of F statistic will give us significant evidence.

Step-by-step explanation:

ANOVA is a statistical technique designed to test mean of one or more quantitative populations.  In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA. It is a statistical technique designed to test mean of one or more quantitative populations. In two-way ANOVA it equals the block mean. Column block means square is three-way ANOVA.

One-way ANOVA, the smaller the between treatment

The smaller the value of F statistic will give us significant evidence.

What is ANOVA?

It should be the statistical technique that are made for testing the mean for one or more than one quantitative population. In two-way ANOVA it should be equivalent to the block mean. Here the column block represent the square be the three-way ANOVA.

Therefore, One-way ANOVA, the smaller the between treatment

The smaller the value of F statistic will give us significant evidence.

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Which expression represents the number 12.3 rewritten in a+bi form? 12.3+0i 1+12.3i 12.3+i 0+12.3i The impact of increasing, as opposed to constant, costs is to Multiple Choice expand the limits of the terms of trade. intensify and prolong the comparative advantages that any nation may have initially. cause the bases for further specialization to disappear as nations specialize according to comparative advantage. cause nations to realize economies of scale in those products in which they specialize. A 19 year old right handed lady is skiing in the back country when she gets lost and is found 12 hours later after being exposed to subfreezing temperatures the entire time. On initial physical exam, the fingers of her right hand are completely cold and blue. After gentle re-warming, there are still no palpable radial, ulnar, or digital pulses in the right hand. There are no detectable Doppler signals in these vessels either. What would be the best therapy for this patient? a. Antiplatelet therapy b. Conservative wound care c. Emergent amputation of the right hand d. Urgent angiogram and thrombolysis e. Several week clinical observation to permit demarcation of necrosis In a short-run model of a large open economy with a floating exchange rate, net capital outflow ______ as the domestic interest rate increases and is just equal to the ______ in net exports. Group of answer choices increases; decrease decreases; increase increases; increase decreases; decrease Look at each pattern.Identify the rule for each pattern.Pattern A: 0, 3, 6, 9, 12, 15, 18,...Pattern B: 0, 12, 24, 36, 48, 60, 72, ... The European Renaissance was caused, in part, by what factor? A. The expansion of the wealth and power of feudal lords across Europe B. The establishment and expansion of the Catholic Church C. The success of the Crusades in converting Muslims to Christianity D. The spread of the philosophy of individualism in Europe Ellen baked 115 cookies and shared them equally with her 23 classmates. How many whole cookies each can Ellen and her classmates have? Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least integer n for which Pn(0.2) approximates ln(1.2) to within 0.01. In cooking class, Shivani measures a stickof butter. It is 13 centimeters long, 3centimeters wide, and 3 centimeters tall. Whatis the volume of the stick of butter? Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.Lori55 Vanessa265 Devon172 Celia112 Arnold356 You invest $4,000 in a savings account. The account pays 3% annual interest. Howmuch money will be in the savings account after 9 years?$5,124.33$6,003.45$4,938.29$5,219.20 who was the commander of german troops in the north African campaign Pens cost 15 pence each. Rulers cost 20 pence each. Write down an expression for the cost of x pens and x rulers. risk-free assets have a beta of 0 and the market portfolio has a beta of 1. true or false true false The governor has some control over the final appropriations bill through the use of the ________ veto. Group of answer choices Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65. Can the company conclude that the correlation is positive Cuando hablamos del concepto de relaciones humanas en que pensamos? Each energy sublevel contains __________ number of electrons. For example, sublevel D can hold up to _______ electrons. A. the same, 10 B. the same, 14 C. a different, 6 D. a different, 10 Write the equation in terms of a rotated x'y'-system using the angle of rotation. Write the equation involving x' and y' in standard form.19x2 + 241/3 xy - 5y2 - 527 = 0; 0 = 30 Which of the following battles was the first Civil War engagement in Indian Territory? A. Battle of Pea Ridge B. Battle of Locust Grove C. Battle of Wilson Creek D. Battle of Round Mountain