the statement "tan0=-12/5, csc0=-13/5, and the terminal point detemined by 0 is in quadrant 3":

Answers

Answer 1

The length of the opposite side is -12, and the length of the adjacent side is 5, which gives us the coordinates (-5, -12) for the terminal point.

The statement "tan0=-12/5, csc0=-13/5, and the terminal point determined by 0 is in quadrant 3" refers to a right-angled triangle whose hypotenuse is 5.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Therefore, in this case, the opposite side has a length of -12 and the adjacent side has a length of 5.

This is because tangent is negative in the third quadrant, which means the opposite and adjacent sides have opposite signs. The csc of an angle is the ratio of the hypotenuse to the opposite side.

In this case, the opposite side has a length of -13 because csc is also negative in the third quadrant, which means the hypotenuse and opposite sides have opposite signs.

To determine the coordinates of the terminal point, we can use the Pythagorean theorem.

The sum of the squares of the lengths of the sides of a right-angled triangle is equal to the square of the length of the hypotenuse. We know that the hypotenuse has a length of 5.

Therefore, the square of the length of the opposite side is 144 (12 squared) and the square of the length of the adjacent side is 25. Adding these gives us 169, which is the square of the length of the hypotenuse.

To learn more about : length

https://brainly.com/question/28322552

#SPJ8


Related Questions

lorde help me
surface area 10 points

lorde help mesurface area 10 points

Answers

Answer:

1560 in^2

Step-by-step explanation:

10x22 = 220 bottom rectangle

1/2(10)(24) = 120 side triangle

22x26 = 572 front rectangle

24x22 = 528 back rectangle

220+120+120-572+528= 1560

what is ³/8 of 1 dollar​

Answers

Answer:

Step-by-step explanation:

A dollar is 100 cents

3/8 = .375

0.375 * 100 = 37.5

Rounded it is 38 cents.

Solve the equation: 5.4 -7.5 -6.3 = Solve the equation:​

Answers

The answer would be -8.4.

Answer:

\(5.4 - 7.5 - 6.3 = 5.4 - 13.8 \\ = - 8.4\)

PLEASE HELP! THANK YOU!!!

PLEASE HELP! THANK YOU!!!

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(3(x - 2) = 12\)

\(x = 6\)

_________________________________

\(6(x + 5) = 54\)

\(x = 4\)

_________________________________

\(3x + 5 = 32\)

\(x = 9\)

_________________________________

\(5(x + 7) = 45\)

\(x = 2\)

_________________________________

\(7x + 6 = 41\)

\(x = 5\)

_________________________________

\(2(x + 7) = 29\)

\(x = 7.5\)

_________________________________

\(4(x + 3) = 30\)

\(x = 4.5\)

_________________________________

\(5(x - 4) = 20\)

\(x = 8\)

_________________________________

\(3x - 10 = 23\)

\(x = 11\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Card A: x = 6

Card B: x = 4

Card C: x = 9

Card D: x = 2

Card E: x = 5

Card F: x = \(\frac{15}{2}\)

Card G: x = \(\frac{9}{2}\)

Card H: x = 8

Card I: x = 11

There you go bud. :')

You owe me for this lol.

What is the length of the hypotenuse of the triangle below? It’s D bro just took it

What is the length of the hypotenuse of the triangle below? Its D bro just took it

Answers

Answer: D

Step-by-step explanation:

a^2 +b^2 = c^2

\(3\sqrt{2}^2\)= 18

3\sqrt{2}^2= 18

18 + 18 = 36

The square root of 36 is 6

Answer:

D no is correct ans

Step-by-step explanation:

using pythagoras thoerem h^2=p^2+b^2

and put the value P=3root 2 and b =3root2 and take out h

On graph paper, graph Triangle ABC if A(3,0), B(2,7), and C(6,4). Investigate the slopes and side lengths of triangle ABC and make a list of any special relationships that they have

Answers

part a. )

Side AB:

Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) = 3.16

Slope: mAB = (7 - 0) / (2 - 3) = -7

Side AC:

Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5

Slope: mAC = (4 - 0) / (6 - 3) = 4/3

Side BC:

Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) =  4.47

Slope: mBC = (4 - 7) / (6 - 2) = -3/4

part b.)

some special relationships between the sides of Triangle ABC:

Side AB is shorter than side BC, but has a steeper slope.Side AC is the longest side of the triangle.

We will  use the distance formula and slope formula.

The distance formula is:

d = √[(x2 - x1)² + (y2 - y1)²]

And the slope formula is:

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

Side AB:

Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) ≈ 3.16

Slope: mAB = (7 - 0) / (2 - 3) = -7

Side AC:

Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5

Slope: mAC = (4 - 0) / (6 - 3) = 4/3

Side BC:

Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20)  = 4.47

Slope: mBC = (4 - 7) / (6 - 2) = -3/4

The slopes of sides AB and BC are negative, which indicates  that these sides slope downwards from left to right on the coordinate plane.

Learn more about slope formula at: https://brainly.com/question/3493733

#SPJ1

gem has x toys. max has 5 more toys than gem. jamie’s has three times as many toys as max. how many toys does gem have?

Answers

Jamie's has 3(x+5) toys.

From the question, we have

gem = x toys

max = (x+5) toys

jamie’s = 3(x+5) toys.

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

Complete question: Gem has x toys. max has 5 more toys than gem. jamie’s has three times as many toys as max. how many toys does jamie’s have?

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

The steady state flow in a five-spot waterflooding (i.e. injecting water into the reservoir to displace oil towards production well(s)) is given by the following equation.
q=7.081*10-3 kh/Bμ Pw-Ppw /[In(d/rw)-0.619
What is the dimensionless productivity index for this well? In this equation Rix is the injection well pressure and Ppw is the production well pressure and d is the distance between the injection and production well. (Please see the five spot figure in your notes.) In order to be able to increase the injection rate q. how would you change the three controllable variables piw, ppw and d? Discuss with your friends and other experts if there are any restrictions on varying these variables freely.

Answers

To increase the injection rate q, we can increase the injection well pressure (piw), decrease the production well pressure (ppw), or decrease the distance between the injection and production well (d) any changes in these variables should be carefully evaluated and monitored to avoid any adverse effects on the reservoir performance.

How injection rate varies with different scenario?

The dimensionless productivity index for the well in the given equation can be calculated by dividing the flow rate (q) by the pressure difference (Pw-Ppw) and the distance between the wells (d).
The dimensionless productivity index = q / (Pw-Ppw)d

In order to increase the injection rate q, we can change the three controllable variables piw, ppw and d.

To increase the injection rate q, we can increase the injection well pressure (piw), decrease the production well pressure (ppw), or decrease the distance between the injection and production well (d).

However, there may be some restrictions on varying these variables freely. For example, increasing the injection well pressure beyond a certain limit may cause formation damage or fracture the reservoir rock. Similarly, decreasing the production well pressure too much may result in water coning or gas breakthrough.

Moreover, decreasing the distance between the wells may not be feasible due to the geological or physical constraints of the reservoir.

Therefore, any changes in these variables should be carefully evaluated and monitored to avoid any adverse effects on the reservoir performance.

Learn more about injection rate

brainly.com/question/30720907

#SPJ11

Which sets of ordered pairs designate a function?
A) (2,3), (3,4), (4,5), (5,6).
B) (1,1), (-1,1), (2,4), (-2,4).
C) (0,0), (4,2), (4,-2), (5,5).
D) (0,4), (1,4), (2,4), (3,4)

Answers

A because you can’t put in something and get two answers and you can’t get two answers with the same thing

The expression (a + 1)x^3 + (2 – 3a)x^2 – (3a – 1)x +
2a – 13 has a factor x – 3. Find the value of a and
hence find the other two factors of the expression.​

Answers

Answer:

the other two factors, (2x+1)(3x+1)

Step-by-step explanation:

(a + 1)x³ + (2 – 3a)x² – (3a – 1)x + 2a – 13 = 0   ...(1)

x-3 = 0     x = 3  

(a + 1)*3³ + (2 – 3a)*3² – (3a – 1)*3 + 2a – 13 = 0

-7a + 35 = 0

a = 5   .. substitute to (1)

6x³ -13x² – 14x -3 = 0

(x-3)(6x²+px+1) = 0 ..... 1*x * 6x² = 6x³,    -3 * 1 = -3

6x³ +(p-18)x² +(1-3p)x -3 = 0

p-18 = -13

p = 5

6x²+5x+1 = (2x+1)(3x+1)

Solve the literal equation for y.
3y + 6x - 2y = 2

Answers

Answer:

Step-by-step explanation:

3y+6x-2y=2

then group like terms 3y-2y+6x=2

then{Add similar elements)

y+6x=2

then sub from both sides

y+6x-y=2-y

{Simplify}

6x=2-y

divided both sides by 6

\frac{6x}{6}=\frac{2}{6}-\frac{y}{6}

x=\frac{2-y}{6}

If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water

Answers

Answer:

50 cu ft

Step-by-step explanation:

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

What is Boyle's law?

Boyle's Law states that If the temperature is constant, the volume of a  gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Learn more about Boyles law.

https://brainly.com/question/1437490

#SPJ2

what is the slope of the line through (2,-1) and (-2,-3)

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

1. Find slop by subtracting y values over subtracting x values, which will get you the m value

-1+3 / 2+2 = 1/2

Solve the inequality. Show your work.

-5/2(3x+4)<6-3x

Answers

Answer: x>−32/9

Step-by-step explanation: -5/2(3x+4)<6-3x                                                     −15/2x−10+3x<−3x+6+3x                                                                                        −9/2x−10+10<6+10                                                                                                (−9/2x)(2/-9)>16(2/-9)                                                                                            -18/-18>32/-9                                                                                                          1x/1>32/-9/1                                                                                                            x>−32/9

                           

Solve the inequality. Show your work.-5/2(3x+4)&lt;6-3x

How do solve for M if I don’t know the answer to the problem 1/2m+40

Answers

Answer:

m=80

Step-by-step explanation:

1/2 times 80 =40

Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14

Answers

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

Identify the initial conditions y(0) and y'(0) for the vertical motion of an object, if the object is thrown downward at a velocity of 6 m/s from a height of 30m. (take the origin to be on the ground)

Answers

Answer:

The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".

Step-by-step explanation:

Given,

Velocity,

u = -6 m/s

Height,

h = 30 m

Now,

By using shifting of origin, we get

⇒  \((y-30)=-6t+\frac{1}{2}(-9.8)t^2\)

       \(y-30=-6t-4.9t^2\)

               \(y=30-6t-4.9t^2\)

hence,

The value of y(0) is:

y(0) = \(30-0-0\)

      = \(30 \ m\)

The value of y'(0) is:

y'(t) = \(-6-9.8t\)

y'(0) = \(-6 \ m/s^2\)

what’s the answer ????

whats the answer ????

Answers

Answer:

Lani saved during 12 months

Rosie is x years old
Eva is 2 years older
Jack is twice Rosie’s age
A) write an expression for the mean of their ages.
B) the total of their ages is 42
How old is Rosie?

Answers

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

Please help me with this

Please help me with this

Answers

1 2/4 one and a half

which of the following equations represent a line that is parallel y=5x-4 ad passes through the point (3,4)

Answers

The equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.

How to write the point-slope form equation?

We are given that

The slope of given line = 5And passed through point (3, 4)

Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5

We have the slope and a point, using the point-slope form we can write the equation of the line:

\(\rightarrow\text{y} - 4 =5 \ (\text{x} - 3)\)

\(\rightarrow\text{y} = 5\text{x} - 15 + 4\)

\(\rightarrow\bold{y = 5x - 11}\)

Hence, the equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.

To know more about point-slope form, visit:

https://brainly.com/question/28895991

Your question is incomplete. The complete question is-

Which of the following equations represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4)?

A. y = 5x - 7

B. y = 5x + 19

C. y = -1/5x -4

D. y = 5x - 11

Given the vector V has an initial point at (7, -1) and a terminal point at (7,−2), find the exact value of V

Answers

If vector V has an initial point at (7, -1) and a terminal point at (7,−2), then the exact value of V is (0, -1).

What is vector ?

In mathematics, a vector is a mathematical object that has both magnitude and direction. It is represented by a directed line segment, where the length of the segment represents the magnitude and the direction of the segment represents the direction of the vector.

According to given information :

In the given problem, we are given the initial point and terminal point of the vector V, and we need to find its exact value. To do this, we subtract the coordinates of the initial point from the coordinates of the terminal point to get the coordinates of the vector. This gives us a vector with magnitude 1 (since the difference in the y-coordinates is 1) and direction pointing downwards in the y-axis.

The vector V can be found by subtracting the initial point from the terminal point:

V = (7, -2) - (7, -1) = (7 - 7, -2 - (-1)) = (0, -1)

So the exact value of V is (0, -1).

To know more about vector visit :

https://brainly.com/question/25705666
#SPJ1

Gloria’s hotel bill came to $296 plus an 11% tax, which means that she will pay 111% of her bill.

Which is the best estimate of the total amount Gloria will pay?
$319
$330
$348
$360

Answers

Answer:

B. $330

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Lydia ran a 5-kilometer race in 22 minutes Janet ran a 2 km race in 8.5 minutes which Runner run the faster rate ​

Answers

5k in 22, cause that’s a fast time

Answer:

You need to figure out how many minutes per kilometer.

Lynda ran 22 divided by 5 = 4.4 minutes per kilometer

Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer

Therefor, Janet ran the faster race.

Step-by-step explanation:

Connor has made deposits of $125.00 into his savings account at the end of every three months for 15 years. If interest is 10% per annum compounded monthly and he leaves the accumulated balance for another 5 ​years, what would be the balance in his account​ then?

Answers

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

Learn more about  balance from

https://brainly.com/question/28767731

#SPJ11

factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)

Answers

Answer:

it's D

Step-by-step explanation:

pls give me da crown

What is the distance between the points (13 , -18) and (-10 , -18) in the coordinate plane?
what is the answer

Answers

Answer:

23

Step-by-step explanation:

there you go now may I ask you when you are curious about a certain happening like what breakfast that's give you more energy or what is the fastest route from your house to school what will you do?​

Answers

Answer:

Idk. I will probably find a faster route to school and research abt which foods give u more energy...... IDK

Step-by-step explanation:

Solve for x and y 60° 15°

Solve for x and y 60 15

Answers

Answer:

y = 4x hope this Helps!

Step-by-step explanation:

y = kx

k = y/x = 60/15 = 4

y = 4x

what is the percent of 11/20

Answers

Answer: 55%

Step-by-step explanation:

To find the percentage of 11/20, we can use the following formula:

Percentage = (Numerator ÷ Denominator) × 100

Substituting the values from 11/20 into the formula, we get:

Percentage = (11 ÷ 20) × 100

Percentage = 0.55 × 100

Percentage = 55%

Therefore, the percentage of 11/20 is 55%.

Answer:

Solution: 11/20 as a percent is 55%

Step-by-step explanation:

First, convert the fraction into a decimal by dividing the numerator by the denominator:

11/20 = 0.55

If we multiply the decimal by 100, we will get the percentage:

00.5 * 100 = 55

We can see that 11/20 is percentage is 55.

Other Questions
Expand the expression 11(3c2d) using the Distributive Property. help pls -1 2/3 -5 1/2 multiply help please The chef made 40 turkey sandwiches. He put mustard on 20 of them. What percent of the sandwiches had mustard? Choose the source that would support or defend the following assertion.Your donation would help us to give the Help Group a larger part of our profit, which is great because 98% of their funding comes from private donations.an interview with a student in the club that is asking for donationsthe Help Group's Websitea comparison of the amount of profits that the club will make without the donation and the amount they'll make with the donation.both b and ca and cnone of the above The box plot represents the number of tickets sold for a school dance.A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.Which of the following is the appropriate measure of center for the data, and what is its value? The mean is the best measure of center, and it equals 19. The median is the best measure of center, and it equals 4. The median is the best measure of center, and it equals 19. The mean is the best measure of center, and it equals 4. the speed of a runner increased steadily during the first three seconds of a race. her speed at half-second intervals is given in the table. find lower and upper estimates for the distance that she traveled during these three seconds. ft (smaller value) ft (larger value) t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 6.7 9.2 14.1 17.5 19.4 20 Determine the energy in joules of a photon whose frequency is 7.50 x 10^16 Hz.A) 4.9x10^-17)B) 4.9x10^17)C) 4.9x10^-7 J Why dont proteins quickly break down into their amino acids when they are mixed with wate? p (a) =2/5 p(b)=1/4 ( a and b=1/25I did two events independent or dependent please help Petra notices that there are a number of issues with a new fiber optic connection whose status appears to be going up and down constantly. When the fiber status is up, the data rate is slower than what she expected. Which of the following might be a factor in the issues she is seeing?a. attenuation factor inadequacyb. incorrect frequency calculationc. low optical link budgetd. incorrect resistance fiber chosen Which of the following events is a result of Tom Robinson's trial?OOBob Ewell apologized to Tom Robinson for falsely accusing him.Tom Robinson died.Scout and Jem moved to Aunt Alexandra's house. which decision increased the american public's distrust of the government by expanding the president's war-making powers? Please Hurry). What is the main idea of this poem? Answer choices) A) Trophies are susceptible to dust and varnish. B) Choose heroes wisely. C) Be careful when choosing friends. ( I posted a picture of the poem) Only answer if your 100% sure. Will Mark Brainliest giving brainlist A Big YearBy Bob KowalskiWould you go to the ends of the earth to see a bird? What if it were a really special bird: one with beautiful feathers, an entrancing call, or a silly dance? What if seeing that one special bird would allow you to win a contest?If that contest doesn't get you on television or win you any cash prizes, would you still do it? For those who participate in the "Big Year," the honor of beating the previous record is the only reward they get or even want.A "Big Year" is a year in which a person attempts to see as many different species of birds as possible within a particular region. For most in North America who participate in a "Big Year," this region is the lower 48 American states, plus Alaska, Canada, and a couple of French islands off the Canadian coast.You may be thinking that looking at birds is silly, but just think about the numbers of the recent record holders and the commitment it takes to get these numbers. One recent "Big Year" winner managed to see 744 birds in one year, missing the record by just one bird. Big Year birders travel by train, plane, boat, car, bicycle, and of course, by foot. They can cover over 150 thousand miles to get numbers of sightings this high. They can also spend a small fortune.Just to clarify, the birds these contestants are counting are the number that they see in a particular year. You see, the contest is based on an honor system. No pictures or other evidence is required as proof of a sighting. Most birders take great pride in their reputation and their abilities to see or hear and then identify a bird. Usually, important sightings of the rare birds needed to get counts in the 700s are visited by hundreds of birders. It is pretty hard to cheat your way to a record-breaking year, but in general, few are interested in cheating.You don't have to be able to travel a continent to have a big birding experience though. Have a big month. Or a big weekend. Set a personal record, learn to identify the species that live in your part of the world, or try to learn the calls of just two species of birds. You will soon find looking at birds isn't such a strange way to spend your time.Extra! Extra! Backyard BirdingMany schools, families, and young birders across the country participate in the "Great Backyard Bird Count." While not as long as a "Big Year," the "Great Backyard Bird Count" happens every year. It depends on birders and families across the country to watch feeders and other areas in their yards and count the number of birds they see. Unlike the "Big Year," the goal is not to see who can count the most birds. Instead, participants in this event work together to help bird experts get a good idea of how birds are doing. Participants are given checklists and enter their sightings on a website. Called a "citizen-science" project, this event is open to anyone, requires no travel, and happens every year over one weekend in February.Which of the following best states the main idea of the article "A Big Year"?A)"Big Year" birders compete for honor, love, and record-setting.B)"Big Year" birders get very competitive about seeing rare birds.C)"Big Year" birders have a list of important birds to see.D)"Big Year" birders compete to see more birds than others. Given the graph that is shown. What is the range of the function? The sum of three numbers $a, b$ and $c$ is 60. If we decrease $a$ by 7, we get the value $N$. If we increase $b$ by 7, we get the value $N$. If we multiply $c$ by 7, we also get the value $N$. What is the value of $N$ Which of the following facts should the writer include in her passage?A. Luther Baker was a local artist.B. Zeus at Olympia is one of the greatest Classical statues.C. Soil condition is important.D. George Washington Carver found many uses for the peanut.The passage: (1) The Boll Weevil Monument is located in Enterprise, Alabama. (2) This monument is considered the only monument that honors an agricultural pest. (3) Sometime between 1910 and 1919, the boll weevils made their way to Alabama and destroyed about 60% of the towns cotton fields. (4) After getting advice from local scientists, many farmers decided to grow other crops, mainly peanuts. (5) Varying crops kept the farmers and the town from financial ruin. (6) In fact, the town prospered greatly, and the change in crops improved the soil. (7) A local businessman named Bon Fleming thought the boll weevil deserved a monument for promoting change in the area. (8) In 1919, the monument was placed in the center of town to give thanks to the boll weevil for being a herald to prosperity, which is how the historical marker refers to the insect. (9) The monument that was originally there, however, didnt have a boll weevil on it. (10) The monument consisted of a Classical Greek woman holding a small fountain over her head. (11) In 1949, a man named Luther Baker thought a boll weevil should be a part of the monument. (12) He made one and put it on top of the fountain. this part of the middle ear vibrates and stimulates the bones of the ossicles when it perceives sounds waves. Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation. what government reforms did the japanese make