Solve the following system using the elimination method: 2x-4y=2 -4x+6y=-4

Solve The Following System Using The Elimination Method: 2x-4y=2 -4x+6y=-4

Answers

Answer 1

Answer:

(1, 0)

Step-by-step explanation:

Given the 2 equations

2x - 4y = 2 → (1)

- 4x + 6y = - 4 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the x- term

4x - 8y = 4 → (3)

Add (2) and (3) term by term

(- 4x + 4x) + (6y - 8y) = (- 4 + 4), simplifying gives

- 2y = 0 ⇒ y = 0

Substitute y = 0 in (1) or (2)

Substituting in (1) gives

2x - 0 = 2, that is

2x = 2 ( divide both sides by 2 )

x = 1

Solution is (1, 0 )


Related Questions

100 PT QUESTION PLEASE HELP I WOULD REALLY APPRECIATE IT

Leo and Kamran go to high school together. There are a total of 1000 students in their grade. Out of the 6 periods they have, only 2 of their classes can be together. What is the percent probability that Leo and Kamran have a class together?

Answers

2/1000

0.002%

2/6

0.33%

0.002%×0.33%

The percentage of yall being in the same class is 0.00066%

Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true?
{1, 2}
{1, 2, 3}
{1, 2, 3, 4, 5}
{2, 3, 4, 5}

Answers

Answer:

{2, 3, 4, 5}

Step-by-step explanation:

3x + 1 > 4

3x > 3

x > 1.

If x = 1 the inequality is not true,

- but  2 3 4 and 5 will make the inequality true.

The numbers in 1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true is{2, 3, 4,5}

The answer is option D.

Which describes the solutions of the equation?

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

     ⇒3x + 1 > 4

     ⇒ 3x > 3

      ⇒  x > 1.

  If x = 1 the inequality is not true,

Therefore   2 3 4 and 5 will make the inequality true.

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the. expression to find the perimeter of a rectangle is 2 (lengtg+width) what is the perimeter in units of a rectangle of length 1/3 unit and width 1/2 unit​

Answers

Answer:

5/3 units  or 1 2/3 units

Step-by-step explanation:

P =2 (l+w)

We know the length = 1/3 and the width = 1/2

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

Get a common denominator of 6

1/3 *2/2 = 2/6

1/2 *3/3 = 3/6

Therefore

P = 2(2/6+3/6)

  = 2(5/6)

   = 10/6

    =5/3 units

Changing from an improper fraction

  = 1 2/3 units

The perimeter of a rectangle is 215 feet. The short sides are each 24 feet long, but the lengths of the long sides are unknown. Which equation represents this situation?


24a=215

2(24)+2a=215

24+2a=215

2(24)a=215

Answers

Answer:

2 ( 24 ) + 2 a = 215

Step-by-step explanation:

Perimeter of the rectangle is 215 feet, the short sides are 24 feet long and we need to work out the long sides (we will call a long side 'a') so,

24 + 24 + a + a = 215

For this case we have to:

Let "a" be the variable that represents the length of the rectangle and let "b" be the variable that represents the width of the rectangle. Then the perimeter is given by:

[tex]P = 2a + 2b[/tex]

We have as data that:

[tex]P = 215 \ feet\\b = 24 \ feet[/tex]

Then, replacing:

[tex]215 = 2a + 2 (24)[/tex]

Answer:

Option B

I need help with 12.5•10•14 L•W•H

Answers

Answer:

[tex]\huge{\boxed{\text{1750 units}^{3}}}[/tex]

Explanation:

[tex]\begin{array}{cc}\text{First, multiply 12.5 by 10.}&125*14\\\text{Then, multiply 125 by 14.}&1750\end{array}[/tex]

478,387 to the nearest ten thousand​

Answers

ANSWER = 270,000

MARK BRAINLIST

Answer:

478,387.0000

Step-by-step explanation:

What is the best definition of a triangle?

Answers

Answer:

A figure formed by 3 segments connecting 3 non-colinear points.

Answer:

Hi there!

The answer to this question is: C

A figure formed by three segments connecting three noncollinear points

According to the graph, what is the value of the constant in the equation
below?

Answers

Answer:

The value of the constant is 0.8

Explanation:

The graph has the following properties:

Horizontal-axis (independent variable): widthVertical-axis (dependent variable): heightPoints on the curve:

        (0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)

The equation represented by the graph is an inverse variation:

Height = constant / width.

From that equation, you can solve for the contstant:

constant = height × width

Now, you can take any ordered pair to find the constant:

(0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8(0.8, 1) ⇒constant = 0.8 × 1 = 0.8(1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8(2, 0.04) ⇒ constant = 2 × 0.4 = 0.8

Thus, you have obtained that the constant is 0.8.

The triangle below is classified as which of the following

Answers

This triangle seems like A) Scalene Acute. Brainliest meeeee!

This triangle has no sides which are the same, so this is classified as a scalene triangle.

After we have classified this triangle type, we look at the angles.

If you see the angles, all of the angles have no more than 90°. Acute is less than 90°, right is 90°, and obtuse if more than 90°.

All of the angles in this triangle is less than 90°. This means it's acute.

In conclusion, the triangle is scalene and it is acute, which means it is a scalene acute.

The normal pulse rate of a 13-year-old is between 70 and 100 beats per minute. As part of a health program, the medical staff at Grant Middle School measured the resting pulse rate of 12 randomly selected students in grades 7 and 8. The box plot shows the data for each group. Which statement correctly compares the data sets?

Answers

Answer:From the box plot, it can be seen that for grade 7 students,

The least value is 72 and the highest value is 91. The lower and the upper quartiles are 78 and 88 respectively while the median is 84.

Thus, interquatile range of the resting pulse rate of grade 7 students is upper quatile - lower quartle = 88 - 78 = 10

Similarly, from the box plot, it can be seen that for grade 8 students,

The least value is 76 and the highest value is 97. The lower and the upper quartiles are 85 and 94 respectively while the median is 89.

Thus, interquatile range of the resting pulse rate of grade 8 students is upper quatile - lower quartle = 94 - 85 = 9

The difference of the medians of the resting pulse rate of grade 7 students and grade 8 students is 89 - 84 = 5

Therefore, the difference of the medians is about half of the interquartile range of either data set.

Step-by-step explanation: i hope it helps it took a long time to write!

Answer:

I hope this helps

Step-by-step explanation:

Evaluate 12 sigma n=3 20(0.5)^n-1
9.99
19.95
29.98
39.96

Answers

Answer:

We have a geometric series in which:

a = 20

r = 1/2

Now, we know that: S2 = 20(1-r^2)/(1-r)  and S12 = 20(1-r^12)/1-r

Therefore:  sigma(3,12) = S12-S2  = 20[(1-r^12)/(1-r) - (1-r^2)/(1-r)]  =5115/512  = 9.99023438

Therefore, the answer is: 9.99

Answer: Is D

Step-by-step explanation:

If f(x)=5x+40, what is f(x) when x=-5

Answers

Answer: 65

Step-by-step explanation:

F(x)=5x+40 and x=5

Enter 5 for x in the equation...

F(x)=5(5)+40

F(x)=25+40

F(x)=65

f(x)=5(-5)+40
f(x)=-25+40
f(x)=15

What are the coordinates of the image of vertex F after a
reflection across the line y = -x?
(-1, -3)
(3,-1)
(1,3)
(-3, 1)
G(-2, -3)
F(1.-3
E-1.-5)
H(2-5)

Answers

So F(1,-3) reflect over y= -x which is -> (-y,-x)

The answer is F(3,-1)

Hope this helps!

The coordinate of the vertex F across y = -x will be (3, -1). Then the correct option is B.

What is a reflection of the point?

It is the image of the point which is located in the opposite direction of a given point.

The rule of the reflection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

Now, the rule for reflecting a point about the line y = -x is;

While reflecting on the line y = -x, we get the reflected points by multiplying '-1' with the swapped coordinates.

The coordinates of the image are given below.

G(-2, -3), F(1, -3), E(-1, -5), and H(2, -5)

The reflection across the line y = -x.

Then the coordinate of the vertex F across y = -x will be (3, -1).

Then the correct option is B.

More about the reflection of the point link is given below.

https://brainly.com/question/938117

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There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big. Find the probability of this occuring

Answers

Answer:

P (blue or too big) = 11 / 12

Explanation:

A two way table permits to represent the situation clearly and find the answser is an easy way.

The two way table is that results from the given information is:

Initial information:

                     Blue           Green         Total

Fit well             4                  1                 ?

Too big            ?                   ?                ?

Total               5                   7                12

Now by subtraction and addition you can fill the unknown fields:

                     Blue           Green         Total

Fit well             4                  1                5

Too big            1                   6                7

Total                5                   7                12

Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).

Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.

And the probability is :

P(blue or too big) = number of blue or too big / total number of shirts

P (blue or too big) = 11 / 12answer

You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.

Nicholas has a fish tank that is 12 inches high, 14.5 inches long, and 6.5 inches wide. If he fills the tank halfway with water, how many cubic inches of water are in the tank?

Answers

Answer:

565.5 in^3

Step-by-step explanation:

To find the full volume of the tank

V = l*w*h

We know 12 inches high, 14.5 inches long, and 6.5 inches wide.

Substituting in

V = 12 * 14.5*6.5

V =1131 in ^3

He is filling it 1/2 full, that would be 1/2 of the volume

1/2 V = 1131/2 = 565.5 in^3

Answer:

answer is 565.5 in^3

Step-by-step explanation:

Which of the following equations represents a line that is parallel to y = 3x +2
and passes through the point, (1,6)?

Answers

Answer:

y=3x+3 is slope-intercept form

y-6=3(x-1) is point-slope form

I don't know the form your equation(s) are in. There are other forms.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and b is the y-intercept.

So the slope of y=3x+2 is 3.

Parallel lines have the same slope.  So the slope of the line we are looking for has a slope of 3.

Therefore, our equation his this form y=3x+b.

We need to now find b.

We know a point (x,y) on the line.

y=3x+b using (x,y)=(1,6).

6=3(1)+b

6=3+b

Subtract 3 on both sides:

3=b

So the equation is y=3x+3

Point-slope form is another form we can put our line into

y-y1=m(x-x1)

where m is the slope and (x1,y1) is a point on the line.

We have m=3 and a point (x1,y1) on the line is (1,6).

y-6=3(x-1)

[tex]\huge{\boxed{y=3x+3}}[/tex]

It could also be [tex]\boxed{y-6=3(x-1)}[/tex]

We can use point-slope to find this.  Parallel lines have the same slope, and the given line has a slope of 3 ([tex]m[/tex] in [tex]y=mx+b[/tex]).  This means that the parallel line will also have a slope of 3.

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is a known point on the line.

Plug in the values. [tex]\boxed{y-6=3(x-1)}[/tex] (point-slope form)

Distribute. [tex]y-6=3x-3[/tex]

Add 6 to both sides. [tex]\boxed{y=3x+3}[/tex] (slope-intercept form)

Which of the diagrams below represents the statement "If it is a square, then
it is a quadrilateral"?​

Answers

B is the correct answer

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The correct figure is figure B.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

For the above-given condition,  "If it is a square, then it is a quadrilateral" figure B is correct because, as per the first diagram, not all the squares are quadrilateral, while as per the figure B every square is a quadrilateral.

Hence, the correct figure is figure B.

Learn more about Quadrilateral:

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 15 N acts on a certain object, the acceleration of the object is 5 /ms2. If the acceleration of the object becomes 9 /ms2, what is the force?

Answers

Answer:

27 N

Step-by-step explanation:

Since force varies directly with acceleration, we can introduce a constant, k, and write  [tex]F=ka[/tex]

When force is 15, acceleration is 5, so plug it into the equation and solve for k:

[tex]F=ka\\15=k(5)\\k=\frac{15}{5}\\k=3[/tex]

Now, to find force, we use a = 9 and k = 3, so

[tex]F=ka\\F=(3)(9)\\F=27[/tex]

The force is 27 N

Which value of x makes the quotient of (5x^5+90x^2-135x)/(x+5) undefined?

Answers

Answer:

The value x=-5 makes the quotient undefined

Step-by-step explanation:

When we are looking for undefined values, we want values that make the denominator zero

x+5 =0

Subtract 5 from each side

x+5-5 =0-5

x=-5

The value x=-5 makes the quotient undefined

Find the product. Simplify using positive exponents.


4⁴ · 4³


2² · 2⁻⁴

Answers

Answer:

Step-by-step explanation:

=4⁴ · 4³

=4^{7}

=16 384

=2² · 2⁻⁴

=2^{-2}

=1/2^{2}

=1/4

PLZ HELP WILL GIVE BRAINLIEST!!!


Type the correct answer in each BLANK. The line of best fit represents the number of miles Jean covered at different speeds during a trip. If the speed is represented by x and the distance covered is represented by y, the equation of the best line of fit is y =(BLANK) . She covered about (BLANK) miles at the speed of 50 miles per hour.

Answers

Answer:

y=2x

100 miles

Step-by-step explanation:

The slope is determined by change of y/ change of x

when using the points (0,0)-(50,100) is

100-0/50-0= 100/50=2

so the slope is 2.

Also there is no Y intercept on the equation bc it goes through the origin.

100 miles is the y point for 50 miles per hour

Answer:

The equation of the best line of fit is y = 2x

Step-by-step explanation:

The relationship between y and x is

y = mx + c

Where m = slope of the line

And c = intercept

At 50 miles per hour she has already covered a distance of 100 miles ---- from the graph

We can use this to calculate the slope of the line using the coordinates (0,0) (50,100)

Slope m is calculated as;

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

Where y2 = 100, x2 = 50

y1 = x1 = 0

Substitute these values

So m = (100 - 0)/(50 - 0)

m = 100/50

m = 2

Since there's no intercept, c = 0

The equation y = mx + c becomes

y = 2x + 0

y = 2x

Which expression is equivalent to 6(3+0.05)?

A. 6(3)+0.05

B. (6+3)+(6+0.05)

C. 6(3)+6(0.05)

D. 6(3)×6(0.05)

Answers

[tex]\huge{\boxed{6(3)+6(0.05)}}[/tex]

The distributive property shows that you need to multiply the [tex]6[/tex] separately by each term in the parentheses. This means you multiply [tex]6*3[/tex] and [tex]6*0.05[/tex], then add them together to get [tex]6*3+6*0.05[/tex], or in the terms of your answer choices, [tex]\boxed{6(3)+6(0.05)}[/tex].

Option C is correct. The required equivalent expression will be  6(3)+6(0.05)

Given three values A, B and C expressed as A(B+C)

Using the law of distribution

A(B+C) = AB + AC

Applying this law on the expression 6(3+0.05)

6(3+0.05) = 6(3) + 6(0.05)

hence the required equivalent expression will be  6(3)+6(0.05)

Learn more here; https://brainly.com/question/16989351


(4x2 + 7x)(5x2 – 3x)

Multiply​

Answers

Step-by-step explanation:

here is the answer for your question

Answer:

20x^4 + 23x^3 – 21x^2

Step-by-step explanation:

other answer was a bit hard to read, sorry

Charlene is wrapping the box below. How much wrapping paper will she need? 7in x 9in x 5in,?

Answers

Charlene will need 286 square inches of wrapping paper to cover all six sides of the box with dimensions of 7 inches by 9 inches by 5 inches. This is found by calculating the surface area of each side and then adding them together.

To determine how much wrapping paper Charlene will need to wrap a box with dimensions 7 inches by 9 inches by 5 inches, we calculate the surface area of the box. The box has 6 sides, with each side being a rectangle. The dimensions of the sides are 7x9 inches (two sides), 7x5 inches (two sides), and 9x5 inches (two sides).

To find the total surface area, we calculate the area of each of these rectangles and then sum them together:

Area for two 7x9 sides: 2 * (7in * 9in) = 2 * 63in2 = 126in²

Area for two 7x5 sides: 2 * (7in * 5in) = 2 * 35in2 = 70in²

Area for two 9x5 sides: 2 * (9in * 5in) = 2 * 45in2 = 90in²

Adding these together gives:

Total surface area = 126in² + 70in² + 90in² = 286in²

Charlene will need 286 square inches of wrapping paper to wrap the box.

The following set of coordinates most specifically represents which figure? (−5, 6), (−1, 8), (3, 6), (−1, 4) (6 points) Parallelogram Rectangle Rhombus Square

Answers

Answer:

Rhombus

Step-by-step explanation:

The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).

We use the distance formula to find the length of AB.

[tex]|AB|=\sqrt{(-1--5)^2+(8-6)^2}[/tex]

[tex]|AB|=\sqrt{16+4}[/tex]

[tex]|AB|=\sqrt{20}[/tex]

The length of AD is

[tex]|AD|=\sqrt{(-1--5)^2+(6-4)^2}[/tex]

[tex]|AD|=\sqrt{16+4}[/tex]

[tex]|AD|=\sqrt{20}[/tex]

The length of BC is:

[tex]|BC|=\sqrt{(-1-3)^2+(8-6)^2}[/tex]

[tex]|BC|=\sqrt{16+4}[/tex]

[tex]|BC|=\sqrt{20}[/tex]

The length of CD is

[tex]|CD|=\sqrt{(-1-3)^2+(6-4)^2}[/tex]

[tex]|CD|=\sqrt{16+4}[/tex]

[tex]|CD|=\sqrt{20}[/tex]

Since all sides are congruent the quadrilateral could be a rhombus or a square.

Slope of AB[tex]=\frac{8-6}{-1--5}=\frac{1}{2}[/tex]

Slope of BC [tex]=\frac{8-6}{-1-3}=-\frac{1}{2}[/tex]

Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be  a square. It is a rhombus

Answer:

answer is Rhombus

Step-by-step explanation:

7 × (–3) × (–2)2 = ?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{7*(-3) * (-2)(2) = ?}[/tex]

[tex]\huge\text{7 * (-3) = -21}[/tex]

[tex]\huge\text{-21 * (-2)2 = ?}[/tex]

[tex]\huge\text{-21 * -2 = 42}[/tex]

[tex]\huge\text{42(2) = ?}[/tex]

[tex]\huge\text{42 * 2 = 42 + 42 = 84}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: 84}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Consider the function f(x) = x2 + 2x - 15. What are the x-intercepts of the function?

Answers

Answer:

x = - 5, x = 3

Step-by-step explanation:

To find the x- intercepts equate f(x) to zero, that is

x² + 2x - 15 = 0 ← in standard form

Consider the factors of the constant term ( - 15) which sum to give the coefficient of the x- term ( + 2)

The factors are + 5 and - 3, since

5 × - 3 = - 15 and 5 - 3 = + 2, hence

(x + 5)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5 ⇒ (- 5, 0 ) ← x- intercept

x - 3 = 0 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept

Answer:

left most x intercept : ( -5, 0 )

right most x intercept : ( 3, 0 )

Step-by-step explanation:

Just got it right esketit

6. Find the sum of the arithmetic series.
∑_(n=1)^5▒〖(9-4n)〗

7. Find the first five terms of the sequence described.

a_1=3,a_(n+1)=a_n+5

Answers

4 minutes away and you don’t wanna know what y’all want me anymore i was

the function f(x) = 3,005(1+0.03)^x represents the amount of money in a savings account where x represents time in years. what does 3,005 represent? a. the amount of money in the savings account after one year b. the amount of money added to the savings account each year c. the growth rate d. the initial amount of money placed in the savings account

Answers

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

we have

[tex]f(x)=3,005(1+0.03)^{x}[/tex]

This is a exponential function of the form

[tex]f(x)=a(1+r)^{x}[/tex]

where

a is the initial value

r is the growth rate

(1+r) is the base

x is the number of years

f(x) is the amount of money in a savings account

In this problem we have

a=$3,005

r=0.03=3%

(1+r)=1.03

therefore

3,005 represent the initial value ( the amount of money for the value of x equal to zero)

Answer:

d. The initial amount of money placed in the savings account

Step-by-step explanation:

Given function that represents the amount of money after x years,

[tex]f(x)=3005(1+0.03)^x[/tex]

Which is an exponential growth function,

Since, in a growth function,

[tex]f(x)=ab^x[/tex]

a represents the initial value,

b is the growth rate per period,

x is the number of periods,

By comparing,

a = 3005,

Hence, 3005 must be represent the initial amount of money placed in the savings account,

Option 'd' is correct.

Can guys help me with question 4 and 5

Answers

Answer:

1. C.

2. $15.75

Step-by-step explanation:

To find the total cost of lures, multiply your cost of lures (4.25) against your total amount of lures (p).

[tex]4.25p[/tex]

To find the total cost of bobbers, multiply your cost of bobbers (1.50) against your total amount of bobbers (b).

[tex]1.5b[/tex]

To find the total cost of everything, add these two together and you'll have your equation.

[tex]4.25p+1.5b[/tex]

To find the cost given that Jake purchases 3 lures and 2 bobbers, simply plug in your numbers of lures and bobbers to the equation.

[tex]4.25(3)+1.5(2)\\12.75+3\\15.75[/tex]

Answer:

c. 4.25 *p + 1.50 b

15.75

Step-by-step explanation:

lures are 4.25 a pack and bobbers are 1.50

We want to buy p packers of lures and b  bobbers

Take the cost per each item and multiply by the number of each item

Add them together to the total cost

4.25 *p + 1.50 b

This is the cost

Let p =3 and b=2

4.25 *3 + 1.50 (2)

12.75 +3

15.75

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7. The role of an organism in the ecosystem is called its What are the first and the last physical memory addressesaccessible usingthe following segment values?a) 1000b) 0FFFc) 0001d) E000e) 1002 I descended the steps to the cellar, reminding myself that the smell of dirt was not to be feared. The earthen walls shone with moisture, and the rows of jarred fruit gleamed. I loathed these errands and doubted my ability to discern a peach from a pear in the dim light. I held a jar inches from my eyes and concluded it was some undesirable greenbeans or peasto be retrieved at a later date. As I mused, something crept stealthily from the shadows, and pounced unexpectedly from the summers stash. Which best describes the tone of the excerpt?A. SomberB. DisinterestedC. AngryD. Uncertain On the average, how much would you expect to win by playing the following game? A 50% chance to win $2000, a 30% chance to lose $1000, and a 20% chance to lose $2000. Given that f(x)= x(squared)-3x Evaluate f(2+h)-f(2)/h The price of a car has been reduced from $19,500 to $16,770. What is the percentage decrease of the price of the car? Which statement about a methyl functional group is correct? 1) a methyl group consists of a carbon bonded of three hydrogen atoms 2) a methyl group is polar 3) a methyl group may be negatively charged The Dart Company is financed entirely with equity. The company is considering a loan of $1.83 million. The loan will be repaid in equal principal installments over the next two years, and it has an interest rate of 8 percent. The companys tax rate is 35 percent. According to MM Proposition I with taxes, what would be the increase in the value of the company after the loan? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) The admission fee at an amusement park is $3.50 for children and $7.00 for adults. On a certain day, 331 people entered the park, and the admission fees collected totaled $1,771.00 dollars. How many children and how many adults were admitted? As a result of the China-Europe trade imbalance, European nations sought to acquire needed resources in order to participate fully in the world economy of that time. The major advantage they hadadvanced weaponry and strong military strategiesresulted in what lasting legacy? In regards to the spinothalamic tract, where does the second order neuron cross the midline?a. at that spinal cord segmentb. in the brainstemc. at the thalamusd. never crosses midline Explain why Gulf Stream eddies that develop northwest of the Gulf Stream rotate clockwise and have warm water cores, whereas those that develop to the southwest rotate counterclockwise and have cold water cores. What was the British policy of refusing to enforce British laws in Americancolonies? The electic field inside a spherical volume of radius a is given by: vector E = p_0 r^2 / 4 epsilon r cap Find an expression for the charge density inside the spherical volume that gives rise to this electric field. Find the missing length on the triangle. Round your answer to the nearest tenth ifnecessarya: 15B: 113c: 12d: 10.6 The function A(d) =0.65d+195 models the amount A, in dollars, the thomas's company pays him based on round trip distance d, in miles, that thomas travels to the job site. How much does thomas's pay increase for every mile of travel? in which trimester do the bony parts of the skeleton begin to formA. FirstB. SecondC. ThirdD. None of the above A group of people within the domain of a state creates their own organization in an effort to challenge inequities and assert their political rights to resources and recognition within their state. What is this type of formal organization called? In triangle ABC, C is a right angle and segment CD is the height to segment AB . Find the angles in CBD and CAD if mA = 20mCDB = mCBD = mBCD = mCDA = m CAD= mACD = help me to do this question friends