Answer:
\(\frac{1}{8^{2} }\)
Step-by-step explanation:
A - 2 + 3 = -2 pls answer
Answer:
-3
Step-by-step explanation:
Bring -2 to the other side and A to the other side
-2 Become 2 because of flipping
And A becomes -A because of flipping
2-2+3=-A
Flip the whole equation to avoid confusion
-A=2-2+3
-A=+3
Bring the minus sign to the other side,
A=-3
-3 -2 +3 = - 2
Which make the statement correct.
I hope this explanation helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!
Answer: A = -3
Step-by-step explanation:
A - 2 + 3 = -2
...............+2..............
..... A + 3 = 0
................-3..............
............ A = -3
Damon treated his sister to lunch while visiting her in Weston. Thier lunch cost $40, and the sales tax in Weston is 15%. If Damon left a 20% tip on the $40, how much in total did he pay?
Given:
Cost of lunch = $40
Rate of sales tax = 15%
Rate of tip = 20% on $40.
To find:
The amount Damon pay.
Solution:
We have,
Cost of lunch = $40
Rate of sales tax = 15%
\(\text{Sales tax}=\dfrac{15}{100}\times 40\)
\(\text{Sales tax}=6\)
Rate of tip = 20% on $40
\(\text{Tip}=\dfrac{20}{100}\times 40\)
\(\text{Tip}=8\)
Now,
Total amount = Amount + Sales tax + Tip
= \(40+6+8\)
= \(54\)
Therefore, Damon pays total $54.
The graph shows the number of paintballs a machine launches, y, in x seconds: A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line. A line is shown connecting points on ordered pair 2, 12 and 4, 24 and 6, 36 and 8, 48. Which expression can be used to calculate the rate per second at which the machine launches the balls? (5 points) fraction 12 over 2 fraction 2 over 12 fraction 48 over 2 fraction 2 over 48
Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.
The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line
A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)
m=24-12/4-2
m=12/2
Hence, fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls
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2(3x + 1) - (x - 5) = 42
Answer:
6x+2-1x+5=42
Step-by-step explanation:
Answer:
6x+2-x-5=42
Step-by-step explanation:
if alpha and beta are zeroes of x2-3x+q. what is the value of q, if 2 alpha+3 beta=15
The value of q is -27.
Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.
In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.
We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.
Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.
Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.
Combine like terms: 15 - beta = 6.
Subtract 15 from both sides: -beta = -9.
Multiply both sides by -1 to solve for beta: beta = 9.
Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.
Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.
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In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours.For the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75.For the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73.What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us
0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16
Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.
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In a scale drawing of a painting, 2 centimeters represent 9 inches.
The height of the real painting is 26 inches. What is the height of the painting in the scale drawing? If necessary, round your answer to the nearest tenth.
Type your numerical answer (without units) below.
The height of the painting in the scale drawing is approximately 5.8 centimeters (rounded to the nearest tenth).
To find the height of the painting in the scale drawing, we can set up a proportion using the given scale.
Given:
Scale: 2 centimeters represent 9 inches
Real height of the painting: 26 inches
Height in the scale drawing: ?
Let's set up the proportion:
2 centimeters / 9 inches = x centimeters / 26 inches
To solve for x (the height in the scale drawing), we can cross-multiply and then divide:
2 centimeters * 26 inches = 9 inches * x centimeters
52 centimeters = 9x
Dividing both sides by 9:
x = 52 centimeters / 9
x ≈ 5.8 centimeters
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The circumference A of a circle varies directly with its radius. A circle with a radius of 4 has a circumference of about 25.1 in.2. What would be the circumference of a circle with a radius of 9 in.?
Find the roots of the equation 3x^2 - 2x + 4 = 2x^2 - 4 in simplest form
Answer:
3 x 2 − 2 x + 4 = 2 x 2 − 4
Step-by-step explanation:
Write the problem as a mathematical expression.
3 x 2 − 2 x + 4 = 2 x 2 − 4
Subtract 2 x 2 − 4 from both sides of the equation.
3 x 2 − 2 x + 4 − 2 x 2 − 4 = 0
Simplify each term.
Subtract 4 from 2 . 3 x 2 − 2 x + 4 − 2 x − 2 = 0
Rewrite the expression using the negative exponent rule
b − n =1 b n . 3 x 2 − 2 x + 4 − 2 1 x 2 = 0
Combine − 2 and 1 x 2 . 3 x 2 − 2 x + 4 + − 2 x 2 = 0
Move the negative in front of the fraction.
3 x 2 − 2 x + 4 − 2 x 2 = 0
20 MIN LEFT WILL MARK YOU BRAINLIEST!!!! PLEASE HELP ME!!!!!
The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle x. What are the measures of the angles? The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees. The measure of angle x is 115 degrees. The measure of angle y is 65 degrees. The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees. The measure of angle x is 65 degrees. The measure of angle y is 115 degrees
Answer:
The measure of angle x is 122.5 degrees.
The measure of angle y is 57.5 degrees
Step-by-step explanation:
180=y+x
y=x-65
180= (x-65)+x
180=2x-65
245=2x
x=122.5
y=122.5-65= 57.5
Answer:
The correct answer is A.) The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.
Step-by-step explanation:
I just did the test on edge 2021 and got it right!
Identify the domain of the function shown in the graph.
FACTOR THE EXPRESSION 100 - 80 USING THE GCF
Answer: 45
Step-by-step explanation:
4567
Answer100-80= 2x2x2x4:
Step-by-step explanation:
Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks,
and 1 pair of white socks. If she picks a pair at random, what is the
probability she will pick a green pair?*
1/10
2/5
3/10
O 3/5
Answer:
3/5
Step-by-step explanation:
3 + 6 + 1 = 10
6 green, 6/10
3/5
Answer:
3/5
Step-by-step explanation:
HELP ME I WILL GIVE 20 POINTS PLS
the given proportional relationship y=0.5x with proportional constant is 1/2.
what is proportional relationship?
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.
Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.
For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.
So the equation will be y = kx
or y = 0.5(x)
Here proportional constant is 1/2 or 0.5.
For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.
Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.
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The rock does 1,000 bicep curl-ups on monday.on tuesday he does 30% more bicep curl-ups. on wednesday he does 45% more. how many more bicep curl-ups does he do on wednesday compared to monday
Answer:
either 885 more or 450 more
Step-by-step explanation:
Monday: 1000
Tuesday: 1000*1.3 = 1300
Wednesday:
I'm assuming 45% more from tuesday?
1300*1.45 = 1885
or if not:
1000*1.45 = 1450
either 885 more or 450 more
you can also just do 1000*1.3*1.45 = 1000*1.885 = 1885 if thats what the question means
7Use the compound interest formulas Aand A = Pert to solve. Find the accumulatedvalue of an investment of $4000 at 11% compounded continuously for 5 years.= Pp(1+.)"nO $6,915.66O $6,933.01O $6,928.99O $6,832.58
Given:
Value of an investment of $4000 at 11% compounded continuously for 5 years.
Required:
Find the accumulated value of an investment.
Explanation:
We know that
\(A=Pe^{rt}\)Where, P = Original principal sum
r = Nominal annual interest rate
t = length of time the interest is applied.
Now,
\(\begin{gathered} A=4000\times e^{(0.11\times5)} \\ A=6933.01 \end{gathered}\)Answer:
Hence, option b is correct.
find a conformal map of the horizontal strip {-a < 1m z < a} onto the right half-plane {rew > o}. hint. recall the discussion of the exponential function, or refer to the preceding problem.
The conformal map from the horizontal strip {-a < Im(z) < a} onto the right half-plane {Re(w) > 0} is given by h(z) = \(e^(πiz / a)\).
What is exponential function?
The exponential function is a function of the form f(x) = \(e^x\), where e is Euler's number (approximately equal to 2.71828) and x is the input variable. The exponential function is commonly used in various areas of mathematics, physics, and engineering due to its fundamental properties.
The exponential function can be used to locate a conformal projection onto the right half-plane Re(w) > 0 from the horizontal strip -a Im(z) a. onto the right half-plane {Re(w) > 0}, we can use the exponential function. The key is to map the strip onto the upper half-plane first, and then apply another transformation to map the upper half-plane onto the right half-plane.
Step 1: Map the strip onto the upper half-plane
Consider the function f(z) = \(e^(πiz / (2a)\)). This function maps the strip {-a < Im(z) < a} onto the upper half-plane.
Step 2: Map the upper half-plane onto the right half-plane
To map the upper half-plane onto the right half-plane, we can use the transformation g(w) = w², which squares the complex number w.
Combining these two steps, we have the conformal map from the horizontal strip onto the right half-plane:
h(z) = g(f(z)) = \((e^(πiz / (2a))\))² = \(e^(πiz / a)\).
Therefore, the conformal map from the horizontal strip {-a < Im(z) < a} onto the right half-plane {Re(w) > 0} is given by h(z) = \(e^(πiz / a)\).
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if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answer:
comparing the means of three or more groups
Step-by-step explanation:
meg borrowed 75,000 to pay for her child's education. she must repay the loan at the end of 8 years in one payment with 83/4% interest. what is the maturity value meg must repay?
Meg must repay a maturity value of $127,500.
To calculate the maturity value, we need to add the interest to the principal.
The interest is calculated as a percentage of the principal over the 8-year period.
The interest rate is 8.75%, or 0.0875 as a decimal.
So, the interest on the loan is:
I = P x r x t
where
P = principal = $75,000
r = interest rate per year = 0.0875
t = time in years = 8
I = 75,000 x 0.0875 x 8 = $52,500
The maturity value is the sum of the principal and the interest:
M = P + I
M = $75,000 + $52,500 = $127,500
Therefore, Meg must repay a maturity value of $127,500.
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a grocery store counts the number of customers who arrive during an hour. the average over a year is 30 customers per hour. assume the arrival of customers follows a poisson distribution. (it usually does.) find the probability that at least one customer arrives in a particular one minute period. round your answer to 3 decimals.
The probability that at least one customer arrives in a particular one-minute period is approximately 0.393, rounded to three decimal places.
To find the probability that at least one customer arrives in a particular one-minute period, we can use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence.
In this case, we are given that the average number of customers per hour is 30. To convert this to the average number of customers per minute, we divide by 60 since there are 60 minutes in an hour. Therefore, the average number of customers per minute is 30/60 = 0.5.
The probability of no customers arriving in a particular one-minute period can be calculated using the Poisson distribution formula:
P(X = 0) = (e^(-λ) * λ^0) / 0!
Where λ is the average number of customers per minute.
Let's calculate the probability of no customers arriving in one minute:
P(X = 0) = (e^(-0.5) * 0.5^0) / 0!
= (e^(-0.5) * 1) / 1
= e^(-0.5)
Now, to find the probability that at least one customer arrives in one minute, we can subtract the probability of no customers from 1:
P(at least one customer) = 1 - P(X = 0)
= 1 - e^(-0.5)
Using a calculator, we can evaluate this expression to three decimal places:
P(at least one customer) ≈ 1 - e^(-0.5) ≈ 0.393
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When θ = 28° , which equation can be ued to find the ditance from point A to point B?
Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.
Diagram is attached.
As given in the question,
Diagram is attached.
Given angle θ = 28°
Hypotenuse = x
Two points A and B is on the base
Base - length = AB
In the given triangle,
Equation represents the distance between two points is:
cosθ = base / hypotenuse
⇒ cos 28° = AB / x
⇒ AB = x cos 28°
Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.
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Formulate an equation that would allow you to calculate the percentage of people who filed their taxes during the week of tax day.
The percentage of people who filed their taxes during the week of tax day is 10%
I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.
A percentage is a portion of a sum divided into 100 equal parts.
Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.
Let :
a represents the total number of taxpayers during the week of April 15th.
b represents the total number of taxpayers for that year.
The original equation is reduced to
a/b× 100
As an illustration, 100 individuals submitted their taxes the week of April 15th and
Let's say that year, 1000 persons filed their taxes.
= 100/1000 = 10%
Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.
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A baseball player has a batting average of 0.315. What is the probability that he has exactly 3 hits in his next 7 at bats
The probability that the baseball player has exactly 3 hits in his next 7 at-bats can be calculated using the binomial probability formula.
To calculate the probability, we need to consider the player's batting average, which is the probability of getting a hit in a single at-bat. In this case, the batting average is 0.315, which means that the player has a 31.5% chance of getting a hit in each at-bat.
Since we want to find the probability of getting exactly 3 hits in 7 at-bats, we can use the binomial probability formula:
\(P(X = k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)
Where:
P(X = k) is the probability of getting exactly k hits,
C(n, k) is the combination formula for choosing k hits out of n at-bats,
p is the probability of getting a hit in a single at-bat,
and (1-p) is the probability of not getting a hit in a single at-bat.
Substituting the values into the formula, we have:
\(P(X = 3) = C(7, 3) * 0.315^3 * (1-0.315)^(^7^-^3^)\)
Calculating the values, we find the probability that the player has exactly 3 hits in his next 7 at-bats.
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Lamont has purchased 20 trading cards and wants to have at least 50 trading cards. Write and solve an inequality to nd the number of trading cards Lamont needs. Select all of the true statements.
Given:
Lamont has purchased 20 trading cards.
He wants to have at least 50 trading cards.
To find:
The inequality for the number of trading cards Lamont needs and solve it.
Solution:
Let x be the number of trading cards Lamont needs.
He has 20 trading cards. So,
Total cards = x + 20
It is given that, he wants to have at least 50 trading cards. It means, total card must be greater than or equal to 50.
\(x+20\geq 50\)
Subtract 20 from both sides.
\(x+20-20\geq 50-20\)
\(x\geq 30\)
Therefore, the required inequality is \(x+20\geq 50\) and solution is \(x\geq 30\).
The number of trading cards that Lamont needs will be at least 30 trading cards.
From the information given, we are informed that Lamont has purchased 20 trading cards and wants to have at least 50 trading cards.
Therefore, the number that will be needed more will be:
= 50 - 20 = 30
Therefore, he'll need at least 30 more cards.
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What number can be added to the right side of the equation to change it to a function with one real zero
Answer:
+3
Step-by-step explanation:
Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.
Why is it difficult to solve one verr two minus one over eight without using a common denominator
To substract two fractions, we have to have common denominators.
For example, if we want to substract 1/3 from 1/2, we have to convert the fractions so they have a common denominator of 6.
The denominators are the ones that give sense to the fraction. In fact, when we substract whole numbers, we can consider we are substracting "fractions of one".
Then, for example, 5 - 4 could have been written as 5/1 -4/1.
If the numbers have different denominators, we can not perform additions or substractions until we express the fractions with the same denominator.
Trying to substract two fractions with different denominators is like substracting two things that are not expressed in the same units and it will yield an incorrect result.
nine tiles are numbered 1, 2, 3, . . . , 9, respectively. each of three players randomly selects and keeps three of the tiles, and sums those three values. the probability that all three players obtain an odd sum is m/n, where m and n are relatively prime positive integers. find m n.
The value of m and n from the obtained probability is equal to 3 and 14 respectively.
As given in the question,
Nine tiles numbered 1, 2, .....9
Number of odd numbered tiles are 1,3,5,7,9 = 5
Number of even numbered tiles are 2,4,6,8 = 4
Number of players =3
Possibility to choose 3 tiles by first player out of 9 tiles = ⁹C₃
= 84 ways
Possibility to choose 3 tiles by second player out of 6 tiles = ⁶C₃
=20 ways
Possibility to choose 3 tiles by third player out of 3 tiles = ³C₃
= 1 way
Total number of ways = 84× 20 ×1
= 1680
To have a sum of 3 tiles is odd number at least one tile should be odd.
Chances of first player all the 3 tiles are 0dd out of 5 = ⁵C₃
Next two players must 2 even tiles and 1 odd tile.= ²C₁
One player can be selected in ³C₁ way
Remaining 4 even tiles distributed equally = (4!)(2!)/ (2!)² ( 2!)
Number of favourable outcomes = ⁵C₃ × ²C₁ ׳C₁ × (4!)(2!)/ (2!)² ( 2!)
= 10 × 2 × 3 × 6
= 360
Probability (m/n) = 360 /1680
= 3/14
m = 3 and n = 14.
Therefore, from the probability that all three players obtain an odd sum is m/n , the value m = 3 and n = 14.
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A student is graduating from college in six months but will need a loan in the amount of $2,560 for the last semester. the student receives an unsubsidized stafford loan with an interest rate of 6.8%, compounded monthly. what is the balance of the unsubsidized loan at the time of graduation?
The balance of the unsubsidized loan at the time of graduation is $3,691.10.
Given:
Principal amount = $2,560
Interest rate = 6.8% = 0.068
Time period = 6 months
We can use the formula for compound interest to calculate the future value:
\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)
Substituting the value back into the formula as
Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)
= \($2,560 (1 + 0.00566667)^{(72)\)
= \($2,560 (1.00566667)^{(72)\)
= $2,560 * 1.44044291
= $3,691.10
Therefore, the balance is $3,691.10.
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is a parallelogram. is the midpoint of . and trisect .
Let ⃗⃗⃗⃗⃗ = ⃗ and ⃗⃗⃗⃗⃗ = . Show your work on the diagram as well.
Answer:
option 6b):) is correct
For the rotation −783∘, find the coterminal angle from 0∘≤θ<360∘, the quadrant, and the reference angle.
The coterminal angles within the range 0° ≤ θ < 360° are -423°, -23° and 337°.
Since -783° is negative, it lies in the clockwise direction means it falls in the fourth quadrant.
The reference angle is 423°.
The coterminal angle, quadrant and reference angle for the rotation of -783°, we can use the following calculations:
Coterminal Angle:
To find a coterminal angle, we need to add or subtract multiples of 360° to the given angle until we obtain an angle within the range of 0° to 360°.
-783° + 360° = -423°
-783° + 2 × 360° = -23°
-783° + 3 × 360° = 337°
The coterminal angles within the range 0° ≤ θ < 360° are -423°, -23° and 337°.
Quadrant:
To determine the quadrant in which the angle lies, we can observe the sign of the angle:
Reference Angle:
The reference angle is the acute angle between the terminal side of the angle and the x-axis.
To find the reference angle, we can calculate the positive equivalent of the angle within one revolution (360°).
The positive equivalent of -783° can be found by adding 360° repeatedly until we obtain a positive angle:
-783° + 360° = -423° (already found as a coterminal angle)
The positive equivalent of -783° is -423°.
The reference angle is the absolute value of the positive equivalent:
Reference angle = |-423°| = 423°
The coterminal angles are -423°, -23°, and 337°.
The angle -783° falls in the fourth quadrant.
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