If r=[2,1] and s=[-3,2] calculate 2r-3s

Answers

Answer 1

Answer: -5,4

Step-by-step explanation:

2,1 x 2 = 4,2

-3,2 x 3 = -9,6

-9,6

- 4,2 = -5,4


Related Questions

In the diagram, BCD is
BC=5 cm, AB = 12 cm,
AD= 13
straight line,
AC = 13 cm and ABC = 90°.
Find
(a) tan BAC
(b) cos ACD.
Give both answers as fractions.

Answers

Step-by-step explanation:

where is the diagram?

please

at a particular pressure and temperature, it takes 4.55 min for a 1.5-l sample of he to effuse through a porous membrane. how long does it take for 1.5 l of f2 to effuse under the same conditions?

Answers

Time required to diffuse the F2 gas under the same conditions pressure and temperature with same volume is equal to 14 mins( approximately).

As given in the question,

Time taken by 1.5L sample of He gas to diffuse = 4.55 min.

Molar mass of He gas = 4g

Volume of He gas = 1.5L

Volume of F2 gas = 1.5L

Molar mass of F2 = 38gm

Formula of Rate of diffusion is given by :

Rate of diffusion of He / Rate of diffusion of F2

= √Molar mass of F2 / √Molar mass of He

Now,

Rate of He = Volume of He / time taken

                  = 1.5 / 4.55  

Rate of F2 = [ ( Rate of He ) ×√ Molar mass of He ] / √ Molar mass of F2

                 = ( 1.5 / 4.55 ) × ( √4 / √38)

                 = 3 / 28.028

                 = 0.107 L / min

Time of F2 = Volume of F2 / Rate of F2

                  = 1.5 / 0.107

                  = 14.02 minutes

                  ≈ 14 minutes.

Therefore, the time taken by F2 to diffuse under the same condition of He is equal to 14 minutes.

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(X13)° (3x-37)° find the value of the variable and the meaure of each labeled angle

Answers

Since these two lines overlap, the variable's value is 25, and the angle's value is 38 degrees.

What is intersecting lines?

The empty set, a point, or another line can cross another line in Euclidean geometry. Examples of applications for identifying these circumstances and locating the intersection include computer graphics, motion planning, and collision detection. In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.

Here,

Both the angles are equal as they are intersecting lines and opposite angles are equal in this.

x+13=3x-37

3x-x=37+13

2x=50

x=25

x+13=25+13

angle=38

3x-37=3*25-37

angle=38

The value of variable is 25 and the value of angle in 38 degree as they are the intersecting lines.

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what is eguilvilt to -2 with the power of 4 over -2 with the power of 2

Answers

By using exponent properties we will find the equivalent expression:

(-2)⁴/(-2)² = (-2)² = 4

How to get an equivalent expression?

Here we need to use the exponent property:

xⁿ/xᵇ = xⁿ⁻ᵇ

Here the expression we have is:

(-2)⁴/(-2)²

Using the above property we can rewrite the expression as:

(-2)⁴/(-2)² = (-2)⁴⁻² = (-2)²

Now we can solve this:

(-2)² = (-2)*(-2) = 4

Then the equivalent expression is 4.

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Use point-slope form to write the equation of a line that passes through the point (1,-3)(1,−3) with slope -\frac{5}{3}−
3
5

.

Answers

Answer:

y + 3 = (-5/3) × (x - 1)

Step-by-step explanation:

                     5

(1, -3); m = - -------

x₁, y₁              3

y - y₁ = m(x - x₁)

y - (-3) = (-5/3)(x - 1)

y + 3 = (-5/3)x + (5/3)

   -3                   -3

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

y = (-5/3)x - (4/3) :Slope-intercept form

I hope this helps!

dan and sydney are getting high-speed internet access at the same time. dans provider charges $60 for installation and $42.95 per month. Syndey’s providee has a free installition and charges 57.95 per month after how many months will dan and gave paid the same amount for the internet

Answers

Answer:

after 4 months dan and sydney will have paid the same amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

dan and sydney are getting high speed internet access at the same time.dans provider charges $60 for installation and $42.95 each month. sydney's provider has free installation and charges 57.95 per month. after how many months will dan and sydney have paid the same amount?

let 'm' represent the number of months they have subscribed

dan's total:

42.95m + 60

sydney's total:

57.95m

we want to calculate 'm' when the two totals are equal:

42.95m + 60 = 57.95m

60 =15m

m = 60/15 = 4

after 4 months dan and sydney will have paid the same amount

Water is rushing down the slide at a rate of 1 half gallon every 3 seconds .At this rate , how many gallons of water rush down the slide each seconds ?

Answers

1/2 gallons of water rush down the slide each seconds.

Explain the method of unitary?The unitary approach involves calculating the value of a specific unit, from which we can calculate the values of the necessary number of units.The unitary method's formula is to identify the value of a specific unit, then multiply that value by the number of units to obtain the required value.

For the given question-

Rate of running water = 1 half gallon every 3 seconds.

Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.

It means-

In every 3 seconds ----> 3/2 gallons water flows.

Thus for 1 sec, divide both side by 3.

1 seconds ----> 1/2 gallons water flows.

Therefore, 1/2 gallons of water rush down the slide each seconds.

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A field measures 40 by 80 yards. Larysa makes a scale drawing with a scale of 1 in. to 5 yd., and Prakash makes his own scale drawing with a scale of 1 in. to 8 yd. Whose drawing has a larger area? Explain your reasoning

Answers

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

A field estimates 40 by 80 yards. Larysa makes a scale drawing with a size of 1 in. to 5 yd., and Prakash makes his own scale drawing with a size of 1 in. to 8 yd.

The dimension of the Larysa drawing is given as,

⇒ 40 x 1/5

⇒ 8 in

⇒ 80 x 1/5

⇒ 16 in

The dimension of the Prakash drawing is given as,

⇒ 40 x 1/8

⇒ 5 in

⇒ 80 x 1/8

⇒ 10 in

The dimension of the Prakash's drawing is less than the dimension of the Larysa's drawing. The Larysa's drawing has the larger area.

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Determine which equation is linear

Answers

Answer:

A. No

B. No

C. Yes

D. Yes

Step-by-step explanation:

HELP !! it’s due by midnight pleaseee help me

Answers

x =2173

Step-by-step explanation:

The graph of y = f(x) is transformed to the graph of y = 2f(x - 1).
Describe fully the two single transformations which have been combined to give the resulting transformation.

Answers

Answer:

Stretches vertically by 2, shifts right by 1

Step-by-step explanation:

changes to y are direct, but you have to take the inverse for changes to x. This is because for a given value of y, with x-1, you would have to add one to x to make it the same value(to get the same point before the transformation)

a manufacturer must test that his bolts are 5.00cm long when they come off the assembly line. he must calibrate his machines if the bolts are too long or too short. after sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.88cm. he knows that the population standard deviation is 0.44cm. assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? step 2 of 3 : compute the value of the test statistic. round your answer to two decimal places.

Answers

Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.

What is test statistic?

A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

Here,

x=4.88 cm

μ=5 cm

σ=0.44 cm

n=49

The test statistic,

=(4.88-5)/(0.44/7)

z=-1.909

The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909

At z=-1.909, p-value=0.0281

2*0.0281=0.0562

The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.

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What is 1 plus 1?????????

Answers

Answer:

2

Step-by-step explanation:

you take 1 and add 1 to it... and bam... 2

Answer:

2

Step-by-step explanation:

1+1=2 because 2-1=1 :0

What percentage of diabetes patients have type 2? a. 5 - 10% b. 50 - 55% c. 75 - 80% d. 90 - 95% please select the best answer from the choices provided. A b c d.

Answers

The correct option d. 90 - 95%, is the percentage of diabetes patients having type 2.

Explain the term type 2 diabetes?

A disorder in the body's ability to control and utilize sugar (glucose) as fuel is type 2 diabetes.

This chronic (long-term) disorder causes the bloodstream to circulate with an excessive amount of sugar. Over time, cardiovascular, neurological, and immune system issues might result from excessive blood sugar levels.Your body's cells cannot correctly absorb sugar (glucose) from of the meals you eat if you do have Type 2 diabetes. Diabetes type 2 can lead to heart disease, renal disease, and stroke if it is not addressed.

The recipe for diabetes management is a healthy diet.

Thus, one in ten Americans, or more than 37 million people, have diabetes, and 90–95% of them suffer from type 2 diabetes.

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Answer:

D

Step-by-step explanation:

90-95

the arithmetic progressions{2,5,8,11, . . .}and{3,10,17,24, . . .}have some common values. what is the largest value less than 500 that they have in common?

Answers

The largest value less than 500 that the arithmetic progressions have in common = 479

In this question, we have been the arithmetic progressions {2,5,8,11, . . .} and {3,10,17,24, . . .}

We need to find the largest value less than 500 that they have in common.

We know that the formula for the n-th term of arithmetic progression is: an = a + (n – 1)d

For arithmetic progression {2,5,8,11, . . .}

a_m = 2 + (m - 1)3

For arithmetic progression {3,10,17,24, . . .}

a_n = 3 + (n - 1)7

if we solve for m, n then m =160 and n =69

2 + (160 -1)*3 = 479  which is the 160th term in the arithmetic progression {2,5,8,11, . . .}

3 + (69 - 1)*7  =479 which is the 69th term in the arithmetic progression {3,10,17,24, . . .}

Therefore, the value which less than 500 that both the progressions have in common = 479

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ASAP WILL GIVE BRAINIEST
What are the solutions to the equation shown?

Answers

Answer:

Step-by-step explanation:

A B

The sum of the measures of the angles of any triangle is 180 degrees . In a certain triangle, the largest angle measures 55degrees less than twice the medium angle, and the smallest angle measures 25 degrees less than the medium angle. Find the measures of each of the three angles.

Answers

Each of the three angles measures 75°, 65°, and 40°.

What is an angle measure?

An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Here, we have

Let the largest angle be x degrees, the median y, and the smallest z.

x = 2y - 55

z = y - 25

x + y + z = 180

Substituting for x in the last equation:

2y - 55 + y + z = 180

3y + z = 235  

From the second equation:

- y + z = -25     Subtract this from the last equation:

4y = 260

y = 65 degrees

z = 65 - 25 = 40 degrees.

and x = 180 - 65 - 40 = 75 degrees.

Hence, each of the three angles measures 75°, 65°, and 40°.

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The measures of each of the three angles are 40,65 and 75 degrees.

What is angle ?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Give that:

Let us consider X,Y,Z re the largest ,medium and smallest angle in the triangle.

Sum of the measures of the angles of any triangle is 180 degrees .

                            X + Y + Z = 180 degree

The largest angle measures 55degrees less than twice the medium angle,

                            Z = 2Y - 55 degree

The smallest angle measures 25 degrees less than the medium angle,

                          X = Y - 25 degree

Now ,replace X by (Y - 25) and Z by (2Y - 55) in the first equation

Y - 25 +Y + 2Y - 55 = 180 degree

4Y = 180 + 25 + 55

4Y = 260

Y = 65   Degree of the medium angle

X = 65 - 25

X = 40   Degree of the smallest angle

Z = 2 * 65 -55

  = 130-55

Z = 75   Degree of the largest angle.

40 + 65 + 75 = 180

180 = 180

Hence proved.

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explain how to identify the constant of proportionality from a graph of any proportional relationship

Answers

The constant of proportionality from a graph of any proportional relationship is find as below.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The constant of proportionality from a graph of any proportional relationship.

Now,

Let the solution of the graph = (2, 10)

Then, The constant of proportionality from a graph of any proportional relationship is find as;

⇒ Constant of proportionality = 10 / 2

                                             = 5

Thus, The constant of proportionality from a graph of any proportional relationship is find as above.

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1)A confidence interval is used for estimating a population parameter. TRUE/FALSE
2)A confidence interval always captures the sample statistic.TRUE/FALSE
3) A confidence interval always captures the population parameteTRUE/FALSE
4)When constructing a confidence intervals we should always use Z-critical values.TRUE/FALSE
5) The margin of error determines the center location of the confidence interval.TRUE/FALSE
6)In general, we would like to have a precise confidence interval while having a high level of confidence.TRUE/FALSE
7)When constructing a confidence interval for a proportion we need a large sample size. Read answers carefully.
Group of answer choices
False - The size of the sample is not important
True - n*(p-hat) OR n(q-hat) need to be at least 10
True - Both n*(p-hat) AND n(q-hat) need to be at least 10

Answers

The solutions for the given conditions are;

1. True

2. True

3. False

4. False

5. False

6. True

7. True

1) For estimating a population parameter, a confidence interval is used.

TRUE → CI is used for estimating a population parameter. But, it can also be used to estimate the sample statistic.

2) The sample statistic is always captured by a confidence interval.

TRUE → CI is calculated using the sample statistic.

3) The population parameter is always captured by a confidence interval.

FALSE → There is a type 1 error possibility.

4) Z-critical values should always be used when creating confidence intervals.

FALSE → Z stat is used only in a normal distribution with sizes>30. Else, it is recommended to use a t distribution.

5) The center of the confidence interval is determined by the margin of error.

FALSE → ME determines the maximum deviation from the center at a given confidence level

6) In general, we would like to have a high level of confidence and a precise confidence interval.

TRUE → This is attainable when we increase the sample size.

7) A large sample size is required to create a proportion's confidence interval.

TRUE → Along with the large sample, we also need to have np and nq at least 10.

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. make up three data sets with 5 numbers each that have: a. the same mean but different standard deviations. b. the same mean but different medians. c. the same median but different means

Answers

The following data sets represents the required properties:

a. . Same mean but different standard deviation :

3   3   3  3   3                

1    2   3   4  5              

2    2  3   4  4    

b.  Same mean but different medians

1    2   3   4  5            

1    1   4   4   5            

1    2   2   5  5  

c. Same median but different median:

1      2    3    5   5        

1      2   3    4    5          

2     2   3    5    5  

As given in the question,

Three data sets with 5 numbers representing :

a. Same mean but different standard deviation :

                                       Mean                  Standard deviation

3   3   3  3   3                  15/5 = 3                 0

1    2   3   4  5                 15/5 = 3                  2.5      

2    2  3   4  4                 15/5 = 3                  1    

Mean of the data set = 3

Standard deviation = [tex]\frac{\sum (x - \bar{x} )^{2} }{n -1}[/tex]

b. Same mean but different medians :

                                   Mean                     Median

1    2   3   4  5             3                                3

1    1   4   4   5             3                                4

1    2   2   5  5            3                                 2

c. Same median but different median:

                                    Mean          Median

1      2    3    5   5          3.2                3

1      2   3    4    5            3                 3

2     2   3    5    5          3.4                3

Therefore, above are the following data set to represent same mean different standard deviation, same mean different median and same median different mean.

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trapezoid abcd has vertices at A(-4,-1) b(-2,3) c(4,3) and d(8,-1) what is the perimeter of abcd round to the nearest tenth

Answers

The perimeter of ABCD, given the vertices of the trapezoid, can be found to be 28.13 units

How to find the perimeter?

To find the perimeter of this trapezoid, you need to find the distances between AB, BC, CD, and AD. To find these, you can use the formula for finding the distance between vertices.

That formula is:

= √( ( X₂ - X₁ ) + ( Y₂ - Y ₁))

Using this formula, the distance of AB is 4.47 units.

The distance between BC is 6 units.

The distance between CD is 5.66

The distance between AD is 12 units

The perimeter is the distance around the shape:

= 4.47 + 6 + 5.66 + 12

= 28.13 units

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What is the surface of a rectangular prism with the length of 5 cm, width of 4 cm and height of 2 cm?

Answers

The surface area of the rectangular prism is 76cm^2

What are the basics of geometry?

Geometry is the study of various mathematical or actual-world shapes, figures, and sizes. In geometry, we study various angles, transformations, and figure-to-figure similarities. The fundamental concepts of geometry primarily depend on point, line, angle, and plane.

What are the 3 types of geometry?

The three most popular types of geometry are solid geometry (which deals with objects like the line, sphere, and polyhedron) and spherical geometry. Plane geometry deals with objects like the point, line, circle, triangle, and polygon.

According to the question:-

The surface area of the rectangular prism is:_

surface area= 2*(lb+bh+hl)

                    =2*(5*4+4*2+2*5)

                    =76 cm^2

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Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes?

Simplify your answer completely.

Answers

Answer: I believe it is 18/5

 or Decimal Form:

3.6

or Mixed Number Form:

3 3/5

Step-by-step explanation

4/5 x 4 1/2

If points A and B are both dilated using a center of C
and a scaling factor of 3, then which of the following
will be the distance between the images of A and B?
0
O24
18
12
9
5
A
10
C B
15
20

Answers

Answer:

1.8x101

Step-by-step explanation:

you order 3 strings of white led lights and 2 strings of colored led lightgs for 66$ In a second order you buy one string of each type for 27$ brainly math question braunlly

Answers

The cost of each white led lights and colored led lights is $12 and $15 respectively.

What is the cost of each led light?

Let

White light = wColored light = c

w + c = 27

3w + 2c = 66

From (1)

w = 27 - c

Substitute w = 27 - c into (2)

3w + 2c = 66

3(27 - c) + 2c = 66

81 - 3c + 2c = 66

- 3c + 2c = 66 - 81

- c = - 15

c = 15

Substitute c = 15

w + c = 27

w + 15 = 27

w = 27 - 15

w = 12

In conclusion, the task content can be solved using the concept of simultaneous equation.

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Determine if the following equation is linear or non-linear: y = x − 1

Answers

Answer:

Step-by-step explanation:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Janelys places a 5-foot tall pole to support the guy wire. After placing the pole, Janelys measures the distance from the stake to the pole to be 14 ft. She then measures the distance from the pole to the tower to be 24 ft. Find the length of the guy wire, to the nearest foot.

Answers

The length of the guy wire will be equal to 27.78 feet.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that Janelys places a 5-foot tall pole to support the guy wire. After placing the pole, Janelys measures the distance from the stake to the pole to be 14 ft. She then measures the distance from the pole to the tower to be 24 ft.

The length of the wire will be calculated as,

L² = 24² + 14²

L² = 576 + 196

L² = 772

L = √772

L = 27.78 ft

Therefore, the length of the guy wire will be equal to 27.78 feet.

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Answer:

40ft

Step-by-step explanation:

A stove is bought on hire purchase for $7500. A deposit of $1750 is paid in equal monthly payment of $ 250.
(I). Calculate the number of months required to complete the payments

Answers

The number of months required to complete the payments are 63 months.

How to calculate the number of months?

We will make a equation, which represent total purchase amount in terms of number of months.

Let we consider number of months be t.

According to given information in the question:

Total purchase amount = $17500, one time deposit = $1750

and monthly payment = $250

Then,

17500 = 1750 + 250t

250t = 17500-1750

250t = 15750

t = 15750/250

t = 63 months

Thus number of months required are 63.

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Confused please help Brainliest will be rewarded!!!!!!!

Answers

Answer:

56

Step-by-step explanation:

Take two points as far apart on the line (for maximum accuracy), preferably on grid points, and then calculate the vertical difference divided by the horizontal difference.

So (4, 224) and (0,0) are on the line, and (224-0)/(4-0) = 56

Which of these is not a variable term found in the binomial expansion of (a + b)8? (ignore coefficients. ) a7b a3b5 ab6 b8.

Answers

ab⁶ is not a variable term found in the binomial expansion of [tex](a + b)^{8}[/tex]as this is because, the powers must sum up to 8

What is binomial expansion?

A polynomial with just terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct words. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic statement that comprises a constant, exponents, a variable, and a coefficient.

The Binomial Expansion of [tex](a+b)^8[/tex] is -

[tex](a + b)^8 = a^8 + 8a^7b + 28a^6b^2 + 56a^5b^3 + 70a^4b^4 + 56a3^b^5 + 28a^2b^6 + 8ab^7 + b^8.[/tex]

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Answer:

9

C

D

Step-by-step explanation:

Other Questions
There are two reasonable approximations to consider for the pencil in this problem: a cylinder and a thin rod. However, in this problem we will treat the pencil as a uniform thin rod of length 15.0 cm and mass 10.0 g . The pencil rotates about an axis perpendicular to the plane of the figure. Which of the labeled points is the point that the axis of rotation passes through? Lucy is a witness in a criminal trial. She replies to one question from the prosecutor by saying, "I refuse to answer that question on thegrounds that it might incriminate me."What protection provided for in the Bill of Rights has Lucy invoked?the right to a speedy and public trialthe right not to testify against herselfthe right not to be put in double jeopardythe right to confront witnesses against her TRUE/FALSE a job that requires sitting at a desk for many hours a day can significantly reduce the risk of type 2 diabetes. How did the court system broken up? in the spot market, 7.8 pesos can be exchanged for 1 u.s. dollar. a pair of headphones costs $15 in the united states. if purchasing power parity holds, what should be the price of the same headphones in mexico american express executives hypothesize that 40% of college students own an american express credit card. testing this hypothesis is an example of individual account information is removed from your credit report seven years after the last activity on the account, except for chapter 7 bankruptcy, which stays on your credit report for: question content area top part 1 if the consumer gets 40 utils from consuming four cds, 45 utils from consuming five cds, and 48 utils from consuming six cds, then the consumer's marginal utility is: question content area bottom part 1 a. increasing. b. constant. c. decreasing. d. increasing at an increasing rate. every ingredient in this new drink concoction is highly alcoholic. therefore, the drink is highly alcoholic. question 1 options: begging the question. composition. hasty generalization. no fallacy. How can you explain the Russo-Japanese War?1. A war between Russia and Japan.2. A war where both Russia and Japan were fighting over control of Manchuria. 3. A war where both Russia and Japan were fighting over control of Korea. 4. Japan wants Manchuria for natural resources/raw materials to continue on its industrial/modernized track in order to accomplish more imperialistic goals. 5. Russia wants to connect its Western European railway line with an Eastern Asian railway line in Manchuria.6. Russia won the war. 7. Japan won the war. 8. Great Britain helped to organize the peace. 9. The United States helped to organize the peace. 10. The Russian army was "stronger" than the Japanese army. 11. The Japanese navy was "stronger" than the Russian navy.12. Japan was able to gain access to former Russian ports in Manchuria. 13. The Russians were allowed to keep their railroad across Manchuria. Which of the following statements regarding sudden infant death syndrome (SIDS) is correct?Select one:A. Certain cases of SIDS are predictable and therefore preventable.B. Death as a result of SIDS can occur at any time of the day or night.C. The cause of death following SIDS can be established by autopsy.D. SIDS is most commonly the result of an overwhelming infection. 15. Examine the image below.3 States of MatterWhich of the following statements is false concerning states of matter and kinetic energy?A. Fewer particles indicates there is more kinetic energyB. As temperature increases so does kinetic energyC. As temperature decreases particles move closer togetherD. As the number of particles increases so does kinetic energy what are the essential arguemnts of the lawyers boleyn and stevenson in the debate over the equitable nature of the death penalty? what are the merits and problems of these arguments? 10.0 grams of octane are burned in a bomb calorimeter containing 2.00 102 g h2o. if the water temperature increases from 25.00oc to 37.00oc, how much energy was released by the system? [shw = 1.00 cal/(gc)] Soaps form micelles when added to water and can be used to remove dirt or grease from surfaces. The dirt or grease molecules get trapped inside the micelle and can be easily washed away using water.Which of the following statements are correct concerning the use of soap to remove dirt or grease from an object?-The core of a micelle is formed by hydrocarbon chains.-The polar end of a soap particle interacts with the water molecule.-The dirt particles are generally nonpolar.-Soaps have a polar end and a nonpolar end. need help chemistery What is the average number of receipts per quarter at Kingpin Parts? g what is the probability of flipping at least 3 heads in 4 flips of 2 fair coin given that the first flip is heads? Findings from a longitudinal study in the U.S. found that low SES in adolescence was linked to having a higher level of ______ at age 54 for females.depressive symptoms based upon your readings of acts and paul's early and middle letters, paul's thought process seems to have worked backward from his conviction that: