The ordered pair that represents a function is:
⇒ (-3, -3), (-2, 2), (1, 1), (2, -2)
What is Coordinates?The coordinates are a pair of numbers that use the horizontal and vertical lines to precisely pinpoint a point's location on a cartesian plane. Now, one or both of the following conditions must be met for an ordered pair to be a function:
The given points are;
(-3, -3), (-2, 2), (1, 1), (2, -2)
(-3, 3), (-3, -3), (-1, 1), (1, 4)
(-4, 4), (-4, 1), (-2, 1), (2, 1)
(-3, 3), (-3, -3), (1, -4), (1, 1)
There is only ever one y-value for every x-value.
The associated y-values for multiple x-values are the same.
Additionally, the ordered pair is not a function if any of the following circumstances hold true:
Multiple y-values can be assigned to one x value.
The various y-values that correlate to multiple x-values.
Only the ordered pairs (-3, -3), (-2, 2), (1, 1), and (2, -2) from the available possibilities satisfy the requirement to be a function.
Its x-values don't all have numerous corresponding y-values, for this reason.
So, The ordered pair that represents a function is:
⇒ (-3, -3), (-2, 2), (1, 1), (2, -2)
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how much is 78ml when you turn it to litres
Answer:
0.078 liters
Step-by-step explanation:
78ml=78/1000L
78ml=0.078ml
What number is not part of the solution set to the inequality below?
w−10≤16
A) 11
B) 15
C) 26
D) 27?
The number which is not the part of the solution set to the inequality below is 27.
Given inequality is,
w - 10 ≤ 16
WE have to find the solution for the inequality.
Adding both side of the inequality with 10,
w - 10 + 10 ≤ 16 + 10
w ≤ 26
So the solution of the inequality consists of all the points which are less than or equal to 26.
So it contains 11, 15 and 26.
It does not contain 27.
Hence the solution does not contain 27.
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A manufacturer of cream filled donuts collected data from its automatic filling process. The amount of cream inserted into the donuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t to construct a 90% confidence interval for the true mean amount of cream filling is _______.
Answer:
The appropriate solution is "1.7109". A further explanation is provided below.
Step-by-step explanation:
The given values are:
Sample size,
n = 25
Degree of freedom,
\(df=n-1\)
\(=25-1\)
\(=24\)
At 90% confidence level,
\(\alpha=1-90 \ percent\)
\(=1-0.9\)
\(=0.1\)
and,
\(\frac{\alpha}{2}=\frac{0.1}{2}\)
\(=0.05\)
Now,
The correct values of t will be:
= \(t_{\frac{\alpha}{2}, df }\)
= \(t_{0.05,24}\)
= \(1.7109\)
Nicole swims 6 times as many laps as Evan. What multiplication equation compares the laps Nicole and Evan swim?
Answer:
6E
Step-by-step explanation:
If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan
Hope this helps! :D
I NEED HELP ASAP!! did i do correct??
Answer:
If I were to be honest I think you did it perfectly
50 POINTS!!!! PLSSS HELPPP URGENTTTT!!!! Although 300° is a special angle on the unit circle, Amanda wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 300° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 300° using the sine difference identity. Be sure to include all necessary work. (5 points)
Answer:
a) 1/2, b) = - sqrt(3) / 2
Step-by-step explanation:
a) Let A = 120 degree, B = 180 degree
Using cosine sum is cos(120+180) = cos(120)*cos(180) - sin(120)* sin(180)
which will give you 1/2
b) Let A = 360, B = 60 degree
Using sine difference: sin(360-60) = sin(360) cos(60) - cos(360) sin (60)
gives you -sqrt(3)/2
Cos (300°) using the cosine sum identity is 1/2.
sin (300°) using the sine difference identity is √3/2.
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
Part A :
The cosine sum identity is,
cos (A + B) = cos (A) cos (B) - sin (A) sin (B)
We can write cos (300°) as,
cos (300°) = cos (180° + 120°)
= cos (180°) cos (120°) - sin (180°) sin (120°)
sin (180°) = 0 and cos (180°) = -1
So, cos (300°) = -cos (120°) = -(-1/2) = 1/2
Part B :
Sine difference identity is,
Sin (A - B) = sin (A) cos (B) - cos(A) sin (B)
We can write sin (300°) as,
sin (300°) = sin (360° - 60°)
= sin (360°) cos(60°) - cos(360°) sin (60°)
= - sin (60°)
= -√3 / 2
Hence the value of Cos (300°) using the cosine sum identity is 1/2 and the sin (300°) using the sine difference identity is √3/2.
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for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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PLEASE HELP!!!! The problem is in the photo below.
2There are 5 red marbles, 3 green marbles, and 6 yellow marbles. What is the probability of picking a green marble?
Answer:
21.4%
Step-by-step explanation:
Under the assumption that all of the marbles are together in the data set, when you are solving for a green marble, the probability will be (the value of green marbles in all/The total number of marbles).
For the question, first find the total amount of marbles in all. It is given that there are 5 red marbles (5), 3 green marbles (3), and 6 yellow marbles (6). This means that...
5 + 3 + 6 = 14
...there are 14 marbles in all.
Next, find the probability of picking a green marble, by setting the amount of green marbles (3) over the total amount of marbles (14), and dividing:
\(\frac{3}{14} = 0.214\) (rounded).
0.214 = 21.4%
The probability of picking a green marble is 21.4%.
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If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.
Answer:
100x + 13000y = 865000
Step-by-step explanation:
x = Series A price
y = Series B price
You earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund, and how much discretionary money remains per month?
The amount that you need to save per month to fund the emergency fund would be $ 861. 58.
The discretionary money left per month would be $ 585. 88.
How to find the amount to save ?The gross income for the month :
= 17. 50 x 40 per week x 4 weeks a month
= $ 2, 800
The amount left which is realized funds for the month is:
= Gross income - FICA + Federal tax withholding + State tax withholding
= 2, 800 x ( 1 - 26. 15 %)
= $ 2, 067. 80
Five months of realized income for the emergency fund is:
= 2, 067. 80 x 5
= $ 10, 339
The amount to save per month is:
= 10, 339 / 12
= $ 861. 58
The amount left per month for discretionary expenses ;
= 2, 067. 80 - 861. 58 - 620. 24 rent
= $ 585. 88
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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Need it ASAP will give brainliest
Answer:
Step-by-step explanation:
Option A is the correct answer
256 x 343 / 7 x 64
87808 / 448
= 196 = 14^2
Answer:
Option A is the correct answer
Step-by-step explanation:
256 x 343 / 7 x 64
87808 / 448
= 196 = 14^2
answer the question submitted
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.
15 + x ≤ –45 solve using inverse opertation
I believe the answer is x ≤ -60.
Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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A student earn the score in the data set in 78 64 74 92 67 what is the mean of the scores
Answer:
75
Step-by-step explanation:
78+64+74+92+67 = 375
375 / 5 = 75
Use the midpoint formula to solve the following: a segment ab has endpoints at a(2,9) and b(6,6) determine the coordinates of the midpoint leave your answer as (x,y) with space after the comma.
Problem
Use the midpoint formula to solve the following: a segment ab has endpoints at a(2,9) and b(6,6) determine the coordinates of the midpoint leave your answer as (x,y) with space after the comma.
Solution
For this case the midpoint formula is given by:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)For this case we have x1= 2, y1= 9 and x2= 6, y2=6
And if we replace we got:
\(M=(\frac{2+6}{2},\frac{9+6}{2})\)M=(4, 7.5)
Consider the series.
16 + 15/2 + (−1) + (−19/2) + ...
Does the series converge or diverge?
Select answers from the drop-down menus to correctly complete the statements.
Answer:
14
Step-by-step explanation:
1- Remove the opposites
2- Remove the parenthesis
3- Calculate
First turn fractions to decimal and write in simple form, remove+ also
16,7.5,-1,-9.5
Ratio:-
r=7.5/16=0.468r=-0.13r=0.95=1.0Its tending to 1
Converge seriesWhich situation would be best represented by positive 12
Answer:
To create the equation, we'd write the following: Initial value - Amount initial value has decreased by = Remaining value. 15 (his starting number of sheep) - 3 (the number of sheep he sold) = 12 (the number of sheep he has left). Another example: John gets paid 20 to clean his neighbor's car.
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Pls help with this one to! What is the relationship between
Answer:
ABC is a 90 degree angle and CBD is a 30 degree.
Step-by-step explanation:
If u look at ABC you can see that its a right angle and CBD is 30 degrees because its the exact same angle as EBF!!!
Three quarters of a number is 27. What is two ninths of the number?
Answer:
8
Step-by-step explanation:
let x be the number , then
\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )
3x = 108 ( divide both sides by 3 )
x = 36
the number is 36, so
\(\frac{2}{9}\) × 36 = 2 × 4 = 8
The two ninths of the number is 8
We know that Three quarters of a number is \(\frac{3}{4}\) times of a number
Hence we will assume the number x ,
\(\frac{3}{4} of x = 27\)
\(x = 27 X \frac{4}{3}\)
\(x = 36\)
Now as we know the number is 36
Therefore , the two ninths of the number assumed as y
We will multiply the number 36 by 2 and then divide by 9
Hence,
\(y = 36 X \frac{2}{9}\)
\(y = 8\)
Thus, the two ninths of the number 36 is 8
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The risk-free rate is 8%, and the expected return on the market is 16%. As an analyst, you are preparing a recommendation report on the following stock:
Stock S
Beta 0.85
Expected dividend next year $1.10
Growth rate (g) 8%
Current Price (p0) $22
Using the SML, would you recommend to buy or sell the stock?
A) Sell, because the required rate is greater than the expected rate.
B) Sell, because the expected rate is greater than the required rate.
C) Buy, because the required rate is greater than the expected rate.
D) Buy, because the expected rate is greater than the required rate.
Correct Option is,
D) Buy, because the expected rate is greater than the required rate.
Now, Based on the information you've provided,
To calculate the required rate of return, we can use the SML formula as;
Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)
Plugging in the numbers, we get:
Required rate of return = 8% + 0.85 x (16% - 8%)
= 14.6%
Since the expected rate of return for Stock S is,
= dividend yield + growth rate
= (1.1 / 22 + 8%),
= 9.4%
which is higher than the required rate of return of 14.6%,
Here, the stock is undervalued and would be a good buy.
Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.
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helpppppppppppppppppppppppppppppppppppppp
Answer:
the last one
Step-by-step explanation:
there is no rhythm
Anna is a microbiology student. She was doing research on optimum temperature for the survival of diffrent strains of bacteria. Studies showed that bacteria x needs an optimum temperature of -31°C while bacteria Y needs an optimum temperature of -56°C. What is the temperature diffrence?
The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.
To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.
Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y
Temperature difference = -31°C - (-56°C)
When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.
Temperature difference = -31°C + 56°C
To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.
Absolute value of -31°C = 31°C
Absolute value of +56°C = 56°C
Since 56°C > 31°C, the result will have a positive sign.
Temperature difference = 56°C - 31°C = 25°C
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Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.
How many pieces of glass will he need to make a window that is 864 square inches?
Answer:
Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.
On Tuesday morning Tori went running for 40 minutes.
She knows that running for 30 minutes uses 529 kcal.
Tori thinks she used more than 700 kcal by running for 40 minutes.
(b) Is Tori correct?
Show a check of your working.
Answer:
Step-by-step explanation:
40min(529kcal/30min)=705.33kcal
So she is correct in saying she used more than 700 kcal