In PQR, QR PQ and m/Q = 159°. Find m/P.

In PQR, QR PQ And M/Q = 159. Find M/P.

Answers

Answer 1

Applying the definition of an isosceles triangle, the measure of angle P = 10.5°.

What is an Isosceles Triangle?

If a triangle has two sides that are of the same length, then the triangle is an isosceles triangle. Thus, the angles that are opposite the two equal sides of an isosceles triangle are called the base angles, and they are therefore congruent to each other.

Given that triangle PQR has two equal sides, QR ≅ PQ, it means it is an isosceles triangle, therefore its base angles, ∠P ≅ ∠R.

Therefore:

m∠Q = 159° [given]

m∠P = 1/2(180 - 159)

m∠P = 1/2(21)

m∠P = 10.5°

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In PQR, QR PQ And M/Q = 159. Find M/P.

Related Questions

an architect is making a floor plan for a rectangular gymnasium. if the gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners?

Answers

Answer:

the length of the gym will be 80 feet

Step-by-step explanation:

How much is 76 divided by 6?

Answers

Answer:

If you divide 76 by 6, you would get 12.6666667.

76 divided by 6 is equal to 12 and 2/3, or simply 12.67 when expressed as a decimal.

To divide 76 by 6, we perform the division operation to find the quotient.

When dividing, we start with the largest multiple of 6 that is less than or equal to 76, which is 72. We divide 72 by 6, which equals 12.

Next, we subtract the product of 6 and 12 from 76 to find the remainder:

76 - (6 x 12) = 76 - 72 = 4

Since there is still a remainder of 4, we can express the result as a mixed number: 12 and 4/6.

To simplify the mixed number, we can reduce the fraction. The greatest common divisor of 4 and 6 is 2, so we can divide both the numerator and denominator by 2:

4/2 ÷ 6/2 = 2/3

Therefore, 76 divided by 6 is equal to 12 and 2/3, or simply 12.67 when expressed as a decimal.

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Which pairs of triangles are similar? check all that apply. △abc ~ △def △def ~ △ghi △ghi ~ △abc △ghi ~ △jkl △jkl ~ △abc

Answers

The pairs of triangles that are similar are △jkl ~ △abc and their corresponding angles are congruent.

The fact that, When two triangles are comparable, their corresponding sides have a proportional ratio and their corresponding angles have a congruent relationship.

In this issue

△jkl ~ △abc

Because the proportion between its corresponding sides

Verify

CA/LJ=BC/KL

replace the specified values

14/7=20/10

2=2 >>>>> is correct

so

The proportion between the corresponding sides is linear.

therefore △jkl ~ △abc are similar.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

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Answer: b & e

Step-by-step explanation: cuz

in 1970, about 10 percent of the u.s. population was age 65 and older. what is the projected percentage for 2060

Answers

The projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

Given in 1970, about 10 percent of the u.s. population was age 65 and older.

Demographic Shifts

The number of Americans ages 65 and older is projected to nearly double from 52 million in 2018 to 95 million by 2060, and the 65-and-older age group's share of the total population will rise from 16 percent to 23 percent. The older population is becoming more racially and ethnically diverse.

Hence the answer is the projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

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what is the probability that someone who tests positive has the genetic disease? (enter the value of the probability in decimal format and round the final answer to three decimal places.)

Answers

The probability that someone who tests positive has the genetic disease is  0.142

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Let E be the people test positive

Let F be the people who has disease

P(F)= 1/10000 = 0.0001

P(E/F)= 99.5% = 0.995

P(E/F bar ) = 0.06 % = 0.0006

Baye's theorem:

P(F/E) =  [ P(E/F) * P(F) ] /  [ P(E/F) * P(F) + P(E/F bar ) * P( F bar ) ]

conditional probability :

P(B/A) = P ( A [tex]\cap[/tex] B ) / P(A)

Complement rule is given  by:

P (F bar ) = 1 - P(F) = 1 - 0.0001 = 0.9999

The probability that someone who tests positive has the genetic disease :

P(F/E) =  [ P(E/F) * P(F) ] /  [ P(E/F) * P(F) + P(E/F bar ) * P( F bar ) ]

         = ( 0.995 * 0.0001 ) / ( 0.995 * 0.0001 + 0.0006 *0.9999)

          =  0.142

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explain why two lines through the origin that meet at a right angle can be considered orthogonal subspaces of r2 but two planes through the origin that meet at a right angle can not be considered orthogonal subspaces of r3.

Answers

There is a difference between orthogonal and orthogonal subspaces. According to this, two planes cannot be orthogonal in R3.

Considering, in the case of the orthogonal planes, each plane should have a basis of orthogonal vectors, and also, one of the pairs in each of the vector,  is shared between the two planes and the other vector that is present, should form a orthogonal pair to each other.

Taking the case of orthogonal subspaces,  the main requirement is that each vector of each of the pairs should be orthogonal to each vector of each of the other pair. Also, the dimension of the ambient pair should be not less than 4 (2+2).

When we talk about two planes in R3, planes are orthogonal if and only if, their normal vectors are orthogonal. If this condition is not present, then planes are not orthogonal in R3.

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what is the sampling process used on dollar street? in other words, the sample of families on the dollar street page were collected using a sample that is .

Answers

The sampling process used on dollar street is stratified sampling.

Given,

Use of dollar street;

Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.

Here,

Stratified sampling;

To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.

Therefore,

Stratified sampling is used in dollar street for sampling process.

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1. Write a rule for g(x)=3f(x) + 1 when f(x) = x³ - 2x + 3.

2. Describe the graph if g as a transformation of the graph of f.

Answers

The equation of transformation in g(x ) is 3x³ - 6x + 8

what is transformation?

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

solution:

1. f(x) = x³ - 2x + 3.

Then g(x) = 3f(x) + 1

substitute f(x) in g(x)

g( x ) = 3 (x³ - 2x + 3) + 1

        = 3x³ - 6x + 9 + 1

g( x ) =  3x³ - 6x + 8

2. The graph of the function f(x) = x³ - 2x + 3 is obtained by just moving the graph of g( x ) =  3x³ - 6x + 8  by 2 units up.

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the process of reasoning from a premise or premises to a conclusion based on those premises is known as

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The process of reasoning from a premise or premises to a conclusion based on those premises is known as deductive reasoning.

According to the question,

We have to find the name of the process of reasoning from a premise or premises to a conclusion based on those premises.

We know that there are two types of reasoning. One is inductive reasoning and the second one is deductive reasoning.

In deductive reasoning, we make a final statement which is often called conclusion from various statements which are given. For example, if we say 25th November is my birth date and today is my birth date then the conclusion is today is 25th November.

Hence, the process of reasoning from a premise or premises to a conclusion based on those premises is known as deductive reasoning.

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The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute - rpm) and the cube of the diameter. if the shaft of a certain material 3 inches in diameter can transmit 45hp at 100 rpm, what must the diameter be in order to transmit 60hp at 150rpm?

Answers

The the diameter of the shaft is  to be in order to transmit 60 hp at 150 rpm 1.88 inch.

Explain the term horsepower?Power is measured in hp, which is the standard abbreviation for horsepower. The rate of job completion can be used to describe power in this context. Most frequently, the term "horsepower" is used to describe an engine or motor's output.

We must first obtain the formula for calculating horsepower.

The phrase to use is as follows:

hp = k  × v  × d³ ......eq(1)

Where:

hp is horsepowerv is speed (in rpm)d is diameterk is constant of horsepower.

Since k is a constant, it will always have the same value when the shaft is transferring 60 horsepower at 150 rpm.

Therefore, using the first set of information, we can determine the value of k and subsequently the diameter.

When we solve for k in (1), we get:

k = hp / (v × d³)

Put the values;

k = 45 / (100  × 3³)

k = 0.02

Put the value of k and solve for diameter.

d = ∛hp / (k   × v)

d = ∛60 / (150 × 0.06)

d = 1.88 inch

Thus, the the diameter of the shaft is  to be in order to transmit 60 hp at 150 rpm 1.88 inch.

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At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an altitude of 1000 feet, water boils at 210 °F. At an altitude of 3000 feet, water boils at 206 °F. Use an equation in point-slope form to find the boiling point of water at an altitude of 6000 feet.

Answers

Answer: Water at sea level boils at a temperature of 212 degrees Fahrenheit. For every increase in altitude of 1000 feet, the boiling point drops by 1.8 degrees. Write a linear function that gives the boiling point of water as a function of the altitude. What is the boiling point of water at 15,000 feet?

Draw a chart with the column heading as follows

Step-by-step explanation:

the probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.72 0.11 0.02 (a) fill in the missing probability. x 0 1 2 3 p(x) 0.72 0.11 0.02 0.15 correct: your answer is correct. (b) what is the mean of this discrete random variable?

Answers

(a) The value of p(x) is 0.15 when x = 3.

(b) The mean of the discrete random variable is 0.1

What is meaning of discrete random variable?

A discrete random variable has a countable number of different possible values, such as 0,1,2,3,4, etc. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values.

Given table is

X        0         1          2        3

P(x)  0.72     0.11    0.02  

The sum of the probability of an event is 1.

Therefore

P(0) + P(1) + P(2) + P(3) = 1

Putting the value of P(0), P(1), P(2)

0.72 + 0.11 + 0.02 + P(3) = 1

0.85 + P(3) = 1

P(3) = 1- 0.85

P(3) = 0 .15

The mean of the discreate random variable is Σ xp(x) / Σ x

=[(0 × P(0)) + (1 × P(1)) + (2 × P(2)) + (3 × P(3))]/(0 + 1 + 2 + 3)

= (0 + 0.11 + 0.04 + 0.45) / 6

= 0 .1

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Please help me with this

-2 2/3 - (-1 3/5)

Answers

Answer:

The answer is -17/15

(Decimal: -4.733333)

a page is to contain 24 square inches of print. the margins at top and bottom are 1.5 inches and 1 inch at the sides. find the most economical length (in inches) of the page.

Answers

The most economical length of the paper is 9 inches and width is 6 inches.

What is a derivative of a function?

The derivative of a function of a single variable at a chosen input value. It is the rate of change of a function with respect to a variable.

Let us consider,

Width of the printed part, in inches be 'x'

height of the printed part, in inches be 'y'

According to question,

Area of the printed part, in square inches = xy = 24

So,

y=24/x

width of the page, in inches = x + 2×1 = x+2

height of the page, in inches = y + 2×1.5 = y + 3

The area of the page (in square inches) is , A

= (x+2) (y+3)

= xy + 3x + 2y + 6

= 24 + 3x + 2y + 6

= 3x + 2y + 30

= 3x + 2×24/x + 30

= 3x + 48/x + 30

The minimum length can be found by calculating the derivative dA/dx, where A is the area of the paper

Solving the equation for dA/dx=0,

[tex] \frac{dA}{dx} = \frac{d(3x + \frac{48}{x} + 30)}{dx} [/tex]

[tex] \frac{dA}{dx} = 3 + \frac{48}{ {x}^{2} } [/tex]

[tex]\frac{dA}{dx} = 3 + \frac{48}{ {x}^{2} } = 0[/tex]

[tex]3 + \frac{48}{ {x}^{2} } = 0[/tex]

x = 4

then,

y = 24/4 = 6

The width and height of the paper are

x+2=4+2=6 and

y+3=6+3 =9

The dimensions of the page, so that the least amount of paper is used must be 6 inches wide by 9 inches tall.

Hence, the most economical length of the paper is 9 inches and the width is 6 inches.

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pls help! picture is below. pls help by pst sunday december 4 , 2022 12:00 p.m.

Answers

Answer: August 12th

Step-by-step explanation: 4 and 6 have common multiples of 2, so you need to multiply 6 by 2 and 4 by 3. Both get you 12, so the earliest they have tennis practice is the 12th of August (12 days after July 31st).

Answer:

August 12

Step-by-step explanation:

To solve this question, we need to find the Least Common Multiple (LCM) of 4 and 6.

Since we know that Nick and Mark both had practice on July 31st, we can simply add {LCM of 4 and 6} days to that date to get when they will next both have practice.

To find the LCM of 4 and 6, find the prime factorization of both:

[tex]4 = 2 \times 2[/tex]          [tex]6 = 2 \times 3[/tex]

Now, take the largest quantity of each distinct prime number and multiply them together:

The largest number of 2's is 2. The largest number of 3's is 1. So, we multiply

[tex](2 \times 2) \times (1 \times 3)[/tex]

[tex]= 4 \times 3[/tex]

[tex]= 12[/tex]

Therefore, the LCM of 4 and 6 is 12.

This means that Nick and Mark will have practice on the same day in 12 days.

The last step to solve this problem is to add 12 days to July 31.

[tex]\textrm{July } 31 + 12 \textrm{ days} = \textrm{August } 12[/tex]

Nick and Mark will next have practice on the same day on August 12.

treatment treatment treatment a b c 32 44 33 30 43 36 30 44 35 26 46 36 32 48 40 sample mean 30 45 36 sample variance 6.00 4.00 6.50 a. at the level of significance, can we reject the null hypothesis that the means of the three treatments are equal? compute the values below (to decimal, if necessary). sum of squares, treatment 570 sum of squares, error 66 mean squares, treatment 285 mean squares, error 5.4 calculate the value of the test statistic (to decimals). 51.81818182 the -value is less than 0.01 what is your conclusion? conclude that not all treatment means are equal b. calculate the value of fisher's lsd (to decimals). 2.17881283 use fisher's lsd procedure to test whether there is a significant difference between the means for treatments a and b, treatments a and c, and treatments b and c. use . difference absolute value conclusion significant difference significant difference no significant difference c. use fisher's lsd procedure to develop a confidence interval estimate of the difference between the means of treatments a and b (to decimals). enter negative values as negative numbers.

Answers

The value is less than 0.01

What is Null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Explanation:

             [tex]Grand \ mean = \frac{30+45+36}{3} \\\\Grand \ mean = \frac{111}{3} \\\\Grand \ mean = 37[/tex]

TrSS = 5(30-37)²+5(45-37)²+5(36-37)²

TrSS = 570

SSE = (5-1)6²+(5-1)4²+(5-1)(6-5)²

SSE = 66

[tex]HST_{r} = SST_{s}[/tex]

according to given question p value is less than 0.00001 point. Therefore, The value is less than 0.01.

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what is the solution to the following equation
x2 + 3x + 7 = 0

Answers

Answer:

its C.

Step-by-step explanation:

which hypotheses can be used to perform the test in the following scenario? the mean startup time of two competing computers is to be compared to see if they are equal or not. eighteen startup times are randomly sampled from each computer. both populations have normal distributions with known standard deviation.

Answers

Hypothesis:

H0: The mean startup time for both computers is equal.

H1: The mean startup time for both computers is not equal.

A hypothesis is a potential explanation for a phenomenon.A hypothesis must be testable in order to be considered scientific according to the scientific method. Scientists typically base their scientific hypotheses on prior observations that cannot be adequately explained by the body of knowledge. Despite the fact that the terms "hypothesis" and "theory" are frequently used interchangeably, they are not the same thing. A working hypothesis is a theory that has been tentatively accepted and is put forth for further study after starting with an educated guess or idea.

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if a researcher is using a one sample t statistic to test a null hypothesis about a population, what information is needed from the population to calculate the one sample t statistic?

Answers

If a researcher is using a one sample t statistic to test a null hypothesis about a population, he needs average, standard deviation and sample size to calculate the one sample t statistics.

What is t- Statistic test ?

Comparing the means of two groups is done statistically using a t test. It is frequently used in hypothesis testing to ascertain whether a method or treatment truly has an impact on the population of interest or whether two groups are distinct from one another.

Since the researcher wants to use one sample t statistic to test a null hypothesis about a population, the formula for t statistic will be followed which can be computed by using some figures which are the average, standard deviation and sample size to calculate the one sample t statistic.

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Are x=0 and y=3 perpendicular?

Answers

Answer:

Yes

Step-by-step explanation:

x = 0 is a vertical line. It's the y-axis.

y = 3 is a horizontal line.

x = 0 and y = 3 are perpendicular lines because they intersect

Answer:

Step-by-step explanation:

Yes, you can figure it out by drawing it out. Unfortunately, you can't compare slopes in this case as vertical lines are undefined.

need help as quickly as possible

Answers

The measure of the unknown angles in the kite are as follows;

x = 66 degreesy = 158 degrees

How to find the measure of a kite?

A kite has two pairs of adjacent equal sides.

In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

One pair of opposite angles is equal. Diagonals are perpendicular to each other.

A kite has four interior angles and the sum of these interior angles is 360°

Therefore, the measures of the

x = 66 degrees.

Let's find y.

y = 360 - 70 - 66 - 66

y = 158 degrees.

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If the area of the pentagon is 36, what is the area of the larger pentagon?

Answers

If the area of the pentagon is 36, then the area of the pentagon FGHIJ is 64.

What are Similar figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given that the length of the side of the smaller pentagon is 12, while the length of the side of the larger pentagon is 16.

Since the two of the given figures are similar figures, therefore, we can write,

(Area of smaller pentagon)/(Area of larger pentagon) = (Ratio of the sides)²

(Area of pentagon ABCDE)/(Area of pentagon FGHIJ) = (AE / FJ)²

(36)/(Area of pentagon FGHIJ) = (12/16)²

Area of pentagon FGHIJ = 36 × (16/12)²

Area of pentagon FGHIJ = 36 × (256/144)

Area of pentagon FGHIJ = 64

Hence, the area of the pentagon FGHIJ is 64.

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Weight
Weight
9. John mixed cashews and almonds.
Weight
John bought 4 pounds of almonds for a total cost of $22
The cost per pound for cashews is 60% more than the cost per
pound for almonds.
John bought enough cashews that, when he mixed them with the
almonds, the mixture had a value of $6.50 per pound
Approximately what percent of the mixture by weight was cashews?

Answers

Answer:

30%

Step-by-step explanation:

4 pounds of almonds is $22 --> 1 pound of almonds is $5.50

Cashew price per pound = 160/100 * $5.50. = $8.80

22 + 8.80x = 6.50(4+x)

22 + 8.80x = 26 + 6.50x

2.30x = 4

x = 1.739130435 approx 1.74 lbs of cashews

percent of the mixture, by weight, for cashews =

1.739130435 / (4 + 1.739130435) = 0.303030303 approx 30%

hannah claims that -3 is not a rational number because it is not written as a ratio of integers. is she correct? explain why or why not

Answers

Answer: -3 is a rational number

Step-by-step explanation:

-3 is a rational number because it can be written as a fraction -3/1 and have the same value of -3. Therefore -3 is a rational number and Hannah is correct.

the distribution of heights of adult american men is approximately normal with mean 69 inches and standard deviation 2.5 inches. what percent of men are between 64 and 66.5 inches tall?

Answers

By using normal distribution of probability, it can be calculated that

13.59 %of men are between 64 and 66.5 inches tall

What is normal distribution of probability?

Normal distribution of probability is a continuous type probability distribution whose probability density function is given by

f(x) = [tex]\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}}[/tex] where z = [tex]\frac{x - \mu}{\sigma}[/tex]

[tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.

Here, normal distribution of probability is used

Mean = 69 inches

Standard deviation = 2.5 inches

P(64 < X < 66.5) = P(X <66.5) - P(X < 64)

For X < 64

z = [tex]\frac{64 - 69}{2.5}[/tex] = -2

P(X < 64) = P(z < -2) = 0.0228

For X < 66.5

z = [tex]\frac{66.5 - 69}{2.5}[/tex] = -1

P(X < 66.5) = P(z < -1) = 0.1587

P(64 < X < 66.5) = 0.1587 - 0.0228 = 0.1359

13.59 % men are between  64 and 66.5 inches tall

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PLEASE HELP ME I NEED TO ACE THIS ILL GIVE BRAINLY PLSSSSS

SS MEANS SCREENSHOT

What is the constant of proportionality in the table below?

fist ss*



Do the values in the table form a proportion? If so, what is the constant of proportionality?

second ss*



Which table shows a proportional relationship between x and y?

third ss*

Answers

The constant of proportionality of the given table is k = 2.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the constant of proportionality between the variable x and y can be written as y = kx, where k is the constant of proportionality.

From the table when x = 2, y = 4.

∴ 4 = 2k.

k = 2.

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Wyatt buys eggs and onions at the store. • He pays a total of $20. • He pays $2.52 for the eggs. • He buys 4 bags of onions that each cost the same amount. Wrote an equation that could be used to represent the context of X represents how much each bag of onions costs?

Answers

Answer:

X=437 over 100

Step-by-step explanation:

y-2/3x =-6 what does y equal.

Answers

Answer:

Solve for Y

by simplifying both sides of the equation, then isolating the variable.

Hope this helped

Step-by-step explanation:

The answer would be: y=-18x+2

14.95x4.1
HELPPPPPP
me please i need helppp

Answers

Answer:

down below

Step-by-step explanation:

Assuming you meant multiplying:

61.295

Hope this helps! :)

61.295! Good luck :)

Multiples of 3 and factors of 45??

Answers

Answer:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30

Factors of 45: 1, 3, 5, 9, 15, and 45

Step-by-step explanation:

9,15 and 45 is the answer
Other Questions
college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected students must be surveyed in order to be 9898% confident that the sample percentage has a margin of error of 1.51.5 percentage points? (a) assume that there is no available information that could be used as an estimate of p^p^. Ultimately, why does marks say that governments should struggle with, or even at times directly engage in conflict with, corporations?. 3. which sae automation levels are the focus of nhtsa's voluntary guidance for the development of autonomous vehicle technologies? Solve 13=d6 plsssssssssssssssssssssssssssssssssssssss an optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector that is 1.37 m from the slits. if the slits are illuminated with 633 nm light, how far apart should the slits be? the pioneer photographer, eadward muybridge, used a device called the to project a series of images and illustrate the illusion of motion. For purposes of computing the deduction for qualified residence interest, a qualified residence includes only the taxpayer's principal residence and one other residence.TrueFalsetrueA qualified residence includes the taxpayer's principal residence and one other residence of the taxpayer or spouse. The principal residence meets the requirement for nonrecognition of gain upon sale under 121. The one other residence, or second residence, is used as a residence if not rented or, if rented, meets the requirements for a personal residence under the rental of vacation home rules. a researcher designs a study where participants are randomly assigned to one of the two groups--one is run at night and one is run during the day. each participant in each group is then measured twice, under two different conditions, red and blue. this is best described as a(n) design. if a monopolist is able to increase the amount of product she sells from 400 to 425 units by lowering the price of that product from $40 to $30, her marginal revenue is: A(n) _____ is the generalized expectancy that reinforcing events are NOT under one's control and that one is not responsible for major outcomes in life.A. internal locus of controlB. pessimistic explanatory styleC. optimistic explanatory styleD. external locus of control an approach that quantifies a misstatement based on its effects on the current year income statement only is called the: what is it called when a company uses organizations from developing countries to write code and develop systems? group of answer choices insourcing outsourcing business process outsourcing offshore outsourcing Robert and anne, a married couple filing jointly, have an adjusted gross income of $68,676. They claim two exemptions, and can deduct $3,752 for charitable donations, $3,375 for interest on their mortgage, and $959 from city income tax. If the standard deduction for a married couple filing jointly is $8,350 and exemptions are worth $3,650 apiece, what is their total taxable income? a. $53,290 b. $53,026 c. $44,940 d. $61,640 please select the best answer from the choices provided a b c d. Yesterday, Ralph took a math test and a history test. The sum of his scores was 170. He scored10 points higher on his math test than on his history test. What score did Ralph receive onhis math and history tests? Its in the attachment the perpendicular bisector of side AB of triangle ABC intersects side AB at point D and BC at point E. If angle CAB = 82 degrees and angle C = 68 degrees, what is angle CAE This is a Linear equation. select all options that can correctly complete the following statement. if the temperature of a gas in a sealed container increases, we can determine... (note: it is possible for the volume of the gas to change.) the sign of the work done on the gas (e.g., positive, negative, or zero). the sign of the change in thermal energy of the gas (e.g., positive, negative, or zero). the sign of the heat exchange with the gas (e.g., positive, negative, or zero). the combined average weight of an okapi and a llama is 450450450 kilograms. the average weight of 333 llamas is 190190190 kilograms more than the average weight of one okapi. on average, how much does an okapi weigh, and how much does a llama weigh? on average, an okapi weighs kilograms and a llama weighs kilograms. in an experiement, 5 g of licl is dissolved into 40 ml of water orginally at 17 c in a calorimeter. the temperature rises to 40.3. determine the molar heat of solution of li cl