a sequence of transformations is described below horizontal stretch about a vertical line PQ, a translation, another horizontal stretch about PQ, a reflection over PQ.

Answer Choices:

Angle measures only

Segment lengths only

Both angle measures and segment lengths

Neither angle measures nor segments lengths

Answers

Answer 1

Answer:

Both angle measures and segment lengths.

Step-by-step explanation:

An angle is a shape formed by two rays that meets at a point. The angle is measured by degrees. The angle is formed by the sides of an angle which shares the common endpoint called the vertex. The line is horizontal stretch with a vertical line PQ. It will measure the angle and segments lengths.

Answer 2

Answer:

neither angle measures nor segment lines


Related Questions

5 2/10 x -10 1/3

WILL GIVE BRAINLIEST!!!

Answers

Answer:

[tex]106 \frac{3}{5}[/tex]

Explanation:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

[tex]\frac{26}{5} \times \frac{-31}{3}[/tex]

Next, apply the fractions formula for multiplication. Formula below:

[tex]\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}[/tex]

[tex]= \frac{26 \times -41}{5 \times 2}= \frac{-1066}{10}[/tex]

Simplifying -1066/10, (you can do this by using division) the answer is:  

[tex]106 \frac{3}{5}[/tex]

Answer:

-3 1/3

Step-by-step explanation:

5 2/10 x -10 1/3

10/10 x -10/3

1 x-10/3

-10/3

-3 1/3

your question is unclear. I think I understand it correctly

What is the sign of -1.69+(-1.69)

Answers

Answer: Negative sign

Adding two negative values results in another negative value.

-1.69 + (-1.69) = -3.38

It's like starting $1.69 in debt and then adding 1.69 dollars of more debt. You'll slide further into debt being $3.38 in debt total.

The sign is negative as the value of -1.69 + (-1.69) is -3.38.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-1.69 + (-1.69)

= -1.69 - 1.69

= -3.38

This means,

The sign is negative.

Thus,

The value of -1.69 + (-1.69) is -3.38.

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PICK AN ANSWER!!! BRAINLIEST IF RIGHT

Answers

Answer:

Hey there!

This is an obtuse isosceles, because two sides are congruent, and one angle is greater than 90 degrees.

Let me know if this helps :)

Answer:

[tex]\Large \boxed{\mathrm{C. \ obtuse \ isosceles }}[/tex]

Step-by-step explanation:

An isosceles triangle has two equal angles. This triangle has two base angles equal.

An obtuse triangle has an angle measuring greater than 90 degrees. This triangle has an angle measuring 136 degrees.

This triangle is an obtuse isosceles triangle.

The cost of producing pen​s with the company logo printed on them consists of a onetime setup fee of $265.00 plus $0.95 for each pen produced. This cost can be calculated using the formula C=265.00+0.95p, where p represents the number of pens produced and C is the cost. Use the formula to calculate the cost of producing 2900 pens.

Answers

cggyyhghhh

mkjuyuiiik
mkjjjjn
mmjjgh

average person lives for about 78 years. Does the average person live for at least 1,000,000 hours? (Hint: There are 365 days in each year and 24 hours in each day.)

Answers

Answer:

683,280 hours is what I caculated. Is that right?

Step-by-step explanation:

Answer:

There are (365 x 24) hours for each year.

and 365 x 24 are 8760.

and 8760 x 78 are 683,280.

so, the average person does not live at least 1 Million hours, but they live more than 500 thousand hours, or 5 x 10^5 hours.

Hope it helps!

Bye!

P.S. Please give me Brainliest...

I desperately need one more Brainliest...

first second and last term of Ap are a,b,2a respectively, find its sum​

Answers

Answer:

  (3ab)/(2(b-a))

Step-by-step explanation:

The n-th term of an arithmetic progression is ...

  an = a1 +d(n -1)

Then the value of n is ...

  n = (an -a1)/d +1

The sum of an arithmetic progression is the product of the number of terms and the average of the first and last terms. In this sequence, the common difference d is ...

  d = (b -a)

So, the sum is ...

  Sn = (a +2a)/2·((2a -a)/(b -a) +1)

  Sn = (3ab)/(2(b-a)) . . . . sum of the arithmetic progression

__

Example:

The sequence 1, 1.5, 2 has ...

  a = 1, b = 1.5

Its sum is given by the above formula as ...

  Sn = 3(1)(1.5)/(2(1.5 -1)) = 4.5/(2(.5)) = 4.5 = 1 + 1.5 + 2 . . . . yes

f as a function of x is equal to the square root of quantity 4 x plus 6, g as a function of x is equal to the square root of quantity 4 x minus 6 Find (f + g)(x). x times the square root of 8 4x square root of 8 times x The square root of quantity 4 times x plus 6 plus the square root of quantity 4 times x minus 6

Answers

Answer:

Last one

Step-by-step explanation:

The function f is:

● f (x)= √(4x+6)

The function g is:

● g(x) = √(4x-6)

Add them together:

● f+g (x)= √(4x+6 )+ √(4x-6)

Answer:

[tex]\large \boxed{{\sqrt{4x+6} + \sqrt{4x-6} }}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{4x+6}[/tex]

[tex]g(x)=\sqrt{4x-6}[/tex]

[tex](f+g)(x)[/tex]

[tex]f(x)+g(x)[/tex]

Add both functions.

[tex](\sqrt{4x+6} )+ (\sqrt{4x-6} )[/tex]

một kho hàng có 927 chiếc quạt, đã chuyển đi 1/9 số quạt đó. Hỏi kho hnag còn lại bao nhiêu chiếc quạt?

Answers

Answer:

824

Step-by-step explanation:

Số quạt đã chuyển đi:

927 x 1/9 = 103 (chiếc)

Số quạt còn lại trong kho hàng là:

927-103 = 824 (chiếc)

Correct the formula
Please

Answers

Answer:

The addition should be divided by 4 and not 3 since there are 4 meals.

Step-by-step explanation:

if 280 is to be shared between iyene and nokob in the ratio 2:3. in how many equal part will thE money be shared​

Answers

Answer:

5

Step-by-step explanation:

There will be five equal part because Iyene takes 2 parts and nokob takes 3 parts

Thus, the total parts which have been shared is 2+3=5

Further more, every part is

[tex] \frac{280}{5} = 56[/tex]

Hence, there is 5 parts have been shared and every part is 56 dollars

Answer:

5 equal parts

Because one of the dudes will get 2 and the other one will get 3 parts

3+2 is 5

280/5=56 (1 part)

so iyene will get 56*2=112 and nokob will get 56*3=168

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Ch. 15 part 1a

How can a matrix be used to solve a system of equations. Demonstrate by solving the following system. Show your work. ​

Answers

We are given the equations:

x - 3y = 2

3x - 4y = 0

writing the system as matrices

[tex]\left[\begin{array}{ccc}1&-3\\3&-4\end{array}\right][/tex][tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}2\\0\\\end{array}\right][/tex]

which is in the form:

AX = B

solving for X(the matrix holding the variables), we get:

X = (A⁻¹)B

Finding A⁻¹:

now, to do this, we need to find the inverse of A

[tex]\left[\begin{array}{ccc}w&x\\y&z\end{array}\right]^{-1} = \frac{1}{wz-xy}\left[\begin{array}{ccc}z&-x\\-y&w\end{array}\right][/tex]

using this formula to find the inverse of matrix A:

[tex]A^{-1} = \frac{1}{(1*-4)-(-3*3)}\left[\begin{array}{ccc}-4&3\\-3&1\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{5}\left[\begin{array}{ccc}-4&3\\-3&1\end{array}\right][/tex]

Matrix X:

We know that:

X = A⁻¹B

[tex]X = \frac{1}{5}\left[\begin{array}{ccc}-4&3\\-3&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\end{array}\right][/tex]

[tex]X = \frac{1}{5}\left[\begin{array}{ccc}-8\\-6\end{array}\right][/tex]

since matrix X is just a matrix with the variables

[tex]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}\frac{-8}{5}\\\frac{-6}{5}\end{array}\right][/tex]

x = -8/5

y = -6/5

Solve x/2 = 3x/4 + 5 (make sure to type the number only)

Answers

Answer:

x= -20

Step-by-step explanation:

x/2=3x/4+5

Multiply both sides of the equation by 4, the least common multiple of 2,4.

2x=3x+20

Subtract 3x from both sides.

2x−3x=20

Combine 2x and −3x to get −x.

−x=20

Multiply both sides by −1.

x=−20

Help I don’t understand at all

Answers

Answer:

[tex]1)\ \ 4h^2-13h+6\\2)\ \ 7x^3y^2-x^2y+1\\3)\ \ -7n+2\\4)\ \ -8m+4[/tex]

Step-by-step explanation:

1.

Simplify the expression by combining like terms. Remember, like terms have the same variable part, to simplify these terms, one performs operations between the coefficients. Please note that a variable with an exponent is not the same as a variable without the exponent. A term with no variable part is referred to as a constant, constants are like terms.

[tex]2h^2-7h+2h^2-h+6+4h-9h[/tex]

[tex](2h^2+2h^2)+(-7h-h+4h-9h)+(6)[/tex]

[tex]4h^2-13h+6[/tex]

2.

Use a very similar method to solve this problem as used in the first. Please note that all of the rules mentioned in the first problem also apply to this problem; for that matter, the rules mentioned in the first problem generally apply to any pre-algebra problem.

[tex]8x^3y^2-7x^2y+8x-4-x^3y^2+2x^2y+4x^2y-8x+5[/tex]

[tex](8x^3y^2-x^3y^2)+(-7x^2y+2x^2y+4x^2y)+(8x-8x)+(-4+5)[/tex]

[tex]7x^3y^2-x^2y+1[/tex]

3.

Use the same rules as applied in the first problem. Also, keep the distributive property in mind. In simple terms, the distributive property states the following ([tex]a(b+c)=(a)(b)+(a)(c)=ab+ac[/tex]). Also note, a term raised to an exponent is equal to the term times itself the number of times the exponent indicates. In the event that the term raised to an exponent is a constant, one can simplify it. Apply these properties here,

[tex]-2(8n+1)-(5-9n)+3^2[/tex]

[tex]-2(8n+1)-(5-9n)+(3*3)[/tex]

[tex]-2(8n+1)-(5-9n)+9[/tex]

[tex](-2)(8n)+(-2)(1)+(-)(5)+(-)(-9n)+9[/tex]

[tex]-16n-2-5+9n+9[/tex]

[tex](-16n+9n)+(-2-5+9)[/tex]

[tex]-7n+2[/tex]

4.

The same method used to solve problem (3) can be applied to this problem.

[tex]\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-2^3[/tex]

[tex]\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-(2)(2)(2)[/tex]

[tex](\frac{1}{2})(10)+(\frac{1}{2})(-8m)+(\frac{1}{2})(6m^2})+(-)(3m^2)+(-1)(4m)+(-1)(-7)-8[/tex]

[tex]5-4m+3m^2-3m^2-4m+7-8[/tex]

[tex](-3m^2-3m^2)+(-4m-4m)+(5+7-8)[/tex]

[tex]-8m+4[/tex]

Enclosing the Largest Area The owner of the Rancho Grande has 3,052 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions (in yd) of the largest area he can enclose

Answers

Answer:

the shorter side = 1526

the longer side = 763

area = 1164338

Step-by-step explanation:

lets say

a=length

b = width

a + 2b = 3052

this is the perimeter

such that

a = 3052 - 2b

the area of a rectangle is a*b

= (3052 - 2b)b

= 3052b - 2b²

we differentiate this to get:

= 3052 - 4b

such that

3052 = 4b

divide through by 4, to get b, the width

3052/4 = 763

b = 763

put the value of b into a

a = 3052 - 2b

a = 3052 - 2(763)

a = 3052 - 1526

a = 1526

therefore

the shorter side = 1526

the longer side = 763

area = a x b

area = 1526 x 763

area = 1526 x 763

= 1164338

At any given time about 5.5% of women (age 15-45) are pregnant. A home pregnancy test is accurate 99% of the time if the woman taking the test is actually pregnant and 99.5% accurate if the woman is not pregnant. If the test yields a positive result, what is the posterior probability of the hypothesis that the woman is pregnant?

Answers

Answer:

0.99%

Step-by-step explanation:

If f(x) = 2x2 – 3x – 1, then f(-1)=

Answers

ANSWER:
Given:f(x)=2x^2-3x-1
Then,f(-1)=2(-1)^2-3(-1)-1
f(-1)=2(1)+3-1
f(-1)=5-1
f(-1)=4


HOPE IT HELPS!!!!!!
PLEASE MARK BRAINLIEST!!!!!

The value of function at x= -1 is f(-1) = 4.

We have the function as

f(x) = 2x² - 3x -1

To find the value of f(-1) when f(x) = 2x² - 3x -1, we substitute x = -1 into the expression:

f(-1) = 2(-1)² - 3(-1) - 1

      = 2(1) + 3 - 1

      = 2 + 3 - 1

      = 4.

Therefore, the value of function at x= -1 is f(-1) = 4.

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Someone please answer not really good with math.​

Answers

Answer:

C

Step-by-step explanation:

3*3^2+8/2-(4+3)=27+4-7=24

Answer:

24

Step-by-step explanation:

Remember the order of operations: PEMDAS

P=Parenthesis  

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

(Now you break it down)

3x3(2)+8/2-(4+3)

3x3(2)+8/2-7

3x9+8/2-7

27+8/2-7

27+4-7

31-7

Then you get your answer! (24)

In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

Answers

Answer:

2.7 in²

Step-by-step explanation:

Since ∆BAC and ∆EDF are similar, therefore, the ratio of their area = square of the ratio of their corresponding side lengths.

Thus, if area of ∆EDF = x, area of ∆BAC = 6 in², EF = 2 in, BC = 3 in, therefore:

[tex] \frac{6}{x} = (\frac{3}{2})^2 [/tex]

[tex] \frac{6}{x} = (1.5)^2 [/tex]

[tex] \frac{6}{x} = 2.25 [/tex]

[tex] \frac{6}{x}*x = 2.25*x [/tex]

[tex] 6 = 2.25x [/tex]

[tex] \frac{6}{2.25} = \frac{2.25x}{2.25} [/tex]

[tex] 2.67 = x [/tex]

[tex] x = 2.7 in^2 [/tex] (nearest tenth)

PLEASE HELP ME I DONT HAVE THAT MANY POINTS AND ITS DUE TODAY I NEED HELP ASAP
The table contains the data for your first weeks sales. Complete the table by calculating your commission and earnings for each day of the week

Answers

Answer with explanation:

Sales    Commission(10% of sales)

$2,200      0.1×$2,200= $220  

$2,000       0.1× $2,000= $200

$3,134      0.1×$3,134=$313.4

$2,417         0.1×$2,417=$241.7                  

$2,579        0.1×$2,579 =$257.9

The completed table is given as follows

Day   Sales    Commission      Non-Sales pay        Earning

                    (10% of sales)                           (Commission +Non Sales pay)

Mon  $2,200      $220             $9.50                $220+ $9.50=$229.50

Tue   $2,000         $200                 $9.50                $200 +$9.50=$209.50

Thurs  $3,134      $313.4               $9.50                $313.4+ $9.50=$322.9  

Fri     $2,417         $241.7               $9.50                $241.7+$9.50= $251.2

Sat    $2,579        $257.9                 $9.50                $257.9+$9.50=$267.4

Why is f (x) = (3x + 1/3)^2 + 8/9 not the vertex form of f (x)
not the vertex form of f (x) = 9x^2 +2x +1?
O The expression has a constant outside of the squared term.
O Some of the terms are fractions instead of integers.
O The expression is not the product of two binomials.
O The variable x has a coefficient.

Answers

Answer:

The Variable has a coefficient.

Step-by-step explanation:

3. In a survey of a community, 55% of the people like to listen to the radio,65% like to watch the television and 35% like to listen to the radio as well as to watch television. (i) Show the above information in a Venn-diagram. (ii) Find the percentage of the people who do not like to listen to the radio as well as to watch televisions ​

Answers

Answer:

Here is the answer

I hope it xa helping u

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

what three options bro where are the options

Answer:

9 hours, 11 hours, 19 hours.

Find f(x) and g(x) so the function can be expressed as y = f(g(x) y = [tex]\frac{8}{x^2}[/tex]+4

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]f(g(x))=\dfrac{8}{x^2}+4[/tex]

So if we take

[tex]f(x)=\dfrac{8}{x}+4 \ \ and \\\\g(x)=x^2\\ \\f(g(x))=\dfrac{8}{g(x)}+4=\dfrac{8}{x^2}+4[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)

Answers

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

How many numbers from 10 to 99 have a tens place exactly 3 times greater than their ones place? PLZZZ answer this question . I will be very happy whoever answers this I will give u brainliest too.

Answers

Answer:

45

Step-by-step explanation:

2 digit number starts from 10 ends at 99

between 10 and 19 there is only one number whose tens digit is more than ones digit.

that is 10

between 20 and 29 there are two numbers

20 and 21

like the same

between 30 and 39 there are 3 numbers

10–19. 1

20–29. 2

30–39. 3

40–49. 4

50–59. 5

60–69. 6

70–79. 7

80–89. 8

99–99. 9

sum of first n natural numbers is n(n+1)/2

9(9+1)/2=45

Three numbers between 10 and 99 have tens places that are precisely three times larger than their one's places.

What is Place value?

The foundation of our whole number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number.

The tens digit must be three times larger than the units digit in order to meet the requirement. The units digit can have one of the following values: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9.

Since we are seeking two-digit integers, it is not possible if the unit digit is zero for the tens digit also be zero.

In the case when the unit digit is 1, the tens digit must be 3, resulting in the number 31. Similar to the previous example, if the unit digit is 2, the tens digit must be 6, resulting in the number 62.

As we proceed, we discover the following integers meet the condition:

31, 62, 93

Therefore, there are three numbers from 10 to 99 that have a tens place exactly 3 times greater than their one's place.

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Find the total area of all the shaded rectangles.
4
The total area of all the shaded rectangles is
(Simplify your answer. Type an expression using x as the variable​

Answers

Answer:

25x^2 + 40x + 16

Step-by-step explanation:

area = 5x * 5x + 5x * 4 + 5x * 4 + 4 * 4

area = 25x^2 + 40x + 16

25x² + 40x + 16 is the required equation in variable x.

What is mensuration ?

Mensuration is a branch of mathematics where we calculate length, width, area, volume, lateral surface area, total surface area.

The sum of the areas of the shaded rectangles is the total area.

By observation we can see that the four shaded rectangles together form a square.

We all know that the area of the square is (side)²

= (5x + 4)²

= 25x² + 40x + 16  this is the required equation.

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(16 points) Find the radius of convergence and the interval of convergence of the power series. g

Answers

Answer:

The equation to be solved is missing in the question.

I will explain power series and ways to find the radius and interval of convergence of a powers series in the attached image.

Step-by-step explanation:

Understand the power seriesFind radius of convergenceDetermine interval of convergence

Need help plotting this on number line

Answers

Refer to the attaachment

Which given answer is correct and how do you solve for it?

Answers

Answer:

b

Step-by-step explanation:

What is the sum of the factors of the trinomial x^2-6x+5

Answers

Its a binomial

[tex]\\ \sf\longmapsto x^2-6x+5=0[/tex]

a=1b=-6c=5

If zeros be alpha and beta

[tex]\\ \sf\longmapsto \alpha+\beta=\dfrac{-b}{a}[/tex]

[tex]\\ \sf\longmapsto \alpha+\beta=\dfrac{-(-6)}{1}[/tex]

[tex]\\ \sf\longmapsto \alpha+\beta=6[/tex]

the sum of the factors of the trinomial [tex]x^2-6x+5[/tex] is -6

Given :

A trinomial [tex]x^2-6x+5[/tex]

The given trinomial is in the form of [tex]ax^2+bx+c[/tex]

Compare the given trinomial with standard form and write the value of a,b,c

a=1, b=-6 and c=5

Sum of the factors of the trinomial is [tex]\frac{b}{a} =-\frac{-6}{1} =-6[/tex]

So, the sum of the factors of the trinomial is -6

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7(2x-7+1 please help Marc and michelle are married and earned salaries this year of $69,200 and $13,950, respectively. in addition to their salaries, they received interest of $350 from municipal bonds and $1,150 from corporate bonds. marc and michelle also paid $3,150 of qualifying moving expenses, and marc paid alimony to a prior spouse in the amount of $2,150. marc and michelle have a 10-year-old son, matthew, who lived with them throughout the entire year. thus, marc and michelle are allowed to claim a $1,000 child tax credit for matthew. marc and michelle paid $7,300 of expenditures that qualify as itemized deductions and they had a total of $6,330 in federal income taxes withheld from their paychecks during the course of the year. (use the tax rate schedules. ) All parts of a nonvascularplant must be near abecause it doesn't havelong roots.A. water sourceB. heat sourceC. food sourceD. air source A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost advantages of discounted payback period a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls I WILL MARK BRAINLIEST!f(x)=x/x-7Determine for each x-value whether it is in the domain of f or not How many more barrels of gasoline than desiel were produced What are the solutions of the equation (x + 2)2 + 12(x + 2) 14 = 0? Use u substitution and the quadratic formula tosolve. [tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]x=? Please tell When preparing government-wide financial statements,the modified accrual basis governmental funds are adjusted for all of the following events except? A) Change in current assets and current liabilities from year to year B) Long-term debt related events C) Internal service fund activities D) Interfund activities Suppose that in a month the price of oranges increases from $.75 to $1. At the same time, the quantity of oranges demanded decreases from 100 to 80. The price elasticity of demand for oranges (calculated using the initial value formula, also known as the simple elasticity formula) is:_______A 0.6. B. 0.75. C. 025. D. 20. A loan is being amortized by means of level monthly payments at an annual effective interest rate of 8%. The amount of principal repaid in the 12th payment is 1000 and the amount of principal repaid in the tth payment is 3700. Calculate t. This artist is famous for his structural use of color and brushwork that appeals to the intellect, and a solidity of composition enhanced by a fluid application of pigment that delights the senses. He was probably the most influential single artist on the early 20th century. Who was he The equilibrium constant K changes with changes inthe temperature. what is government???? Find the surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder x225+y29=1 Which fractions are equal to 0.375? Select all that apply. A.) 375/1000 B.) 75/200 C.) 15/4 D.) 3/8 E.) 375/100 You decide to invest in a portfolio consisting of 30 percent Stock A, 30 percent Stock B, and the remainder in Stock C. Based on the following information, what is the expected return of your portfolio? State of Economy Probability of State Return if State Occurs of Economy Stock A Stock B Stock C Recession .17 - 18.8 % - 3.9 % - 22.8 % Normal .45 10.2 % 8.5 % 17.1 % Boom .38 28.6 % 15.8 % 31.7 % What did the Milgram experiment show? A. That people quickly adopt new roles B. That people will go along with the majority C. That people are basically bad D. That people obey authority