6/(n² - n - 3) is the expanded form of the expression 6/(n-1)(n-3)
To expand the expression 6/(n-1)(n-3)
we can use the distributive property.
Let's break it down step by step:
6/(n-1)(n-3) = 6/[(n-1) × (n-3)]
Using the distributive property:
= 6/(n² - 4n + 3n - 3)
Combine the like terms in the denominator
= 6/(n² - n - 3)
Now, let's find the sum of this expression. we need to specify the range of values for the variable n.
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If you have 12 green marbles, 22 white marbles, 12 purple marbles, and 4 blue marbles what is the probability of getting a green marble
12 + 22 + 12 + 4 = 50
There are 50 marbles you can choose from and 12 green marbles so the chance of you getting a green marble is:
12/50
= 0.24
24%
Solve for X and y PLEASE GIVE FULL EXPLANATION HOW YOU GOT IT
Answer:
(1, -1)
Step-by-step explanation:
we isolate y in the first equation
2x+y=1
-2x. -2x
y=1-2x
and now we fill y into second equation
4x-2(1-2x)=6
4x-2+4x=6
8x-2=6
+2 +2
8x=8
/8 /8
x=1
and now to find y we insert x
2(1)+y=1
2+y=1
-2. -2
y= -1
hopes this helps
please answer
4. Suppose that for 3MA Forecast, my Mean Absolute Deviation (MAD) is \( 3.0 \) and my Average Error (AE) is \( -2.0 \). Does my forecast fail the bias test? a. Yes b. No
The answer is: a. Yes, the forecast fails the bias test.
To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.
If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.
In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.
Therefore, the answer is:
a. Yes, the forecast fails the bias test.
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rachel is a popular chef. she was recently hired to host a new prime time cooking show—rays of rachel. she was paid $250,000 for each episode
The proportional relationship representing her salary for x episodes is given as follows:
y = 250,000x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
She was paid $250,000 for each episode, hence the constant is given as follows:
k = 250000.
Then the equation is:
y = 250,000x.
Missing Information
The problem asks for the proportional relationship representing her salary for x episodes.
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a number is tripled, and 2.5 is added. the result is 83.5
Answer:
27
Step-by-step explanation:
You would go 83.5 - 2.5 to get 81
divide 81 by three to get 27
Step-by-step explanation:
dldldldlxdpdlddldldldldl 85Can someone please help
Answer:
D can be used
Step-by-step explanation:
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
The table below shows the birth weight and the weight for the first three weeks of a baby whale. Determine the slope and y-intercept of the linear equation that models this data, write the equation and predict the baby whale’s weight at 4 weeks.
Week
Weight (lbs)
0
5000
1
6400
2
7800
3
9200
Student’s Work
Student’s Answer
A. y= 9200x+1400; 10,600 lbs
B. y= 5000x+1400; 21,400 lbs
C. y= 1400x+ 5000; 10,600 lbs
D. y= 5000 +41400; 21,400 lbs
Answer:
C
Step-by-step explanation:
The slope is 1400. And the y intercept is 5000 because when x=0 y=5000. And if you multiply 1400 by 4 and then add 5000 you get 10,600 lbs for the weight at 4 weeks.
The slope is 1400 and the y-intercept is 5000 of the linear equation which is the correct answer would be option (C) y = 1400x + 5000; 10,600 lbs.
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
We have to determine the slope and y-intercept of the linear equation that models this data,
Week Weight (lbs)
0 5000
1 6400
2 7800
3 9200
Slope = (7800 - 6400)/(2 - 1) = 1400
There is a 1400 slope.
And since y=5000 for x=0, the y-intercept is 5000.
So the equation of a baby whale’s weight at 4 weeks is y = 1400x + 5000
Hence, the correct answer would be option (C)
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can you guys help me find the domain? (finding the domain graphically)
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Hope this helps i would give answer but i dont know what the answer is so sorry but hope this helps you.
three-quarter the product of two numbers x and y, what is the algebriac expression?
Answer:
x × y =3/4
Step-by-step explanation:
Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.
Have a great day! Late ik.
Lilac~
An algebraic expression for the given statement is 3/4 xy.
Given that, three-quarters is the product of two numbers x and y.
We need to write an algebraic expression for the given statement.
What is an algebraic expression?Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
Now, the product of two numbers x and y=xy
Three-quarters is the product of two numbers x and y=3/4 xy
Therefore, an algebraic expression for the given statement is 3/4 xy.
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1. describe the interview 115's dad gives on tv. why does it anger starr?
In the interview, 115's dad speaks dismissively about the shooting incident and portrays his son as a victim.
This angers Starr because it minimizes the gravity of the situation, fails to hold the responsible parties accountable, and disregards the loss and pain experienced by the victim's family and the community. In the interview, 115's dad downplays the shooting incident involving his son and presents him as a victim rather than acknowledging the harm caused. He deflects responsibility by emphasizing his son's fear and portraying him as a helpless individual caught up in the situation.
This angers Starr because it undermines the seriousness of the crime committed and fails to address the accountability of 115 and others involved. It dismisses the pain and suffering endured by the victim's family and the community affected by the shooting. Starr is frustrated by the lack of acknowledgment, justice, and empathy displayed in the interview, fueling her determination to seek the truth and fight for justice.
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james and elaine share a box of sweet in the ratio 2:3 what fraction of sweets does james receive and elaine receive
Answer: james gets 2/5 of the candy while elaine gets 3/5
Step-by-step explanation:
2/5 + 3/5 = 5/5 = 1 box
Answer? To this question please help
Answer:
B~ 81
Step-by-step explanation:
Pls help I need this by the end of today
The average rate change of over the interval [-1,1] is 2.
What is an interval?
In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.
Given points on the graph is
x -2 -1 0 1
y -4 -3 -1 3
The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,
Average rate of change = [f(b) - f(a)]/(b - a)
Here a = -1, b = 1, f(a) = -3, and f(b) = 3
The average rate is (3 - (-3))/ (1 - (-1)) = 2
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The two polygons below are similar.
True
False
Answer:
true
Step-by-step explanation:
well same I'd everything looks alike but similar is the basics
Can a single interior angle of a polygon equal to more than 180 degrees? Please answer the following questions.
Find out if a polygon with each interior angle values at 150 degrees is a regular polygon.
Find out if a polygon with each interior angle valued at 210 degrees is a regular polygon.
Find out if a polygon with each interior angle valued at 240 degrees is a regular polygon.
Find out if a polygon with each interior angle valued at 360 degrees is a regular polygon.
Answer: 1 yes 2 idk 3 yes 4no 5 no
Step-by-step explanation:
Provide the rejection region for the Wilcoxon signed rank test (not rank sum test) for each of the following sets of hypotheses: (a) H0 : M=0 versus Ha : M≠ 0 with n=19 and α=0.05 (b) H0 : M <= 0 versus Ha : M > 0 with n=8 and α=0.025 (c) H0 : M >= 0 versus Ha : M < 0 with n=14 and α=0.01
(a) Rejection region: Reject H0 if the calculated test statistic falls below the lower critical value or above the upper critical value at α/2 = 0.025.
(b) Rejection region: Reject H0 if the calculated test statistic exceeds the upper critical value at α = 0.025.
(c) Rejection region: Reject H0 if the calculated test statistic falls below the lower critical value at α = 0.01.
We have,
To determine the rejection region for the Wilcoxon signed rank test, we need to consider the sample size (n), the alternative hypothesis (Ha), and the significance level (α).
The rejection region consists of the critical values that, if exceeded, would lead to the rejection of the null hypothesis (H0).
Here are the rejection regions for each set of hypotheses:
(a)
H0: M = 0 versus Ha: M ≠ 0, n = 19, α = 0.05:
The rejection region consists of the lower and upper critical values of the Wilcoxon signed rank test at significance level α/2 = 0.05/2 = 0.025.
(b)
H0: M ≤ 0 versus Ha: M > 0, n = 8, α = 0.025:
The rejection region consists of the upper critical value of the Wilcoxon signed rank test at significance level α = 0.025.
(c)
H0: M ≥ 0 versus Ha: M < 0, n = 14, α = 0.01:
The rejection region consists of the lower critical value of the Wilcoxon signed rank test at significance level α = 0.01.
Thus,
(a) Rejection region: Reject H0 if the calculated test statistic falls below the lower critical value or above the upper critical value at α/2 = 0.025.
(b) Rejection region: Reject H0 if the calculated test statistic exceeds the upper critical value at α = 0.025.
(c) Rejection region: Reject H0 if the calculated test statistic falls below the lower critical value at α = 0.01.
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State the most specific name for each figure.
7)
The most specific name for the figure is an isosceles trapezoid
How to state the most specific name for the figure.From the question, we have the following parameters that can be used in our computation:
The figure
The properties of the given figure are
A pair of parallel sidesA pair of non- parallel sides pointing towards different directionsUsing the above as a guide, we have the following:
The figure is a trapezoid
Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid
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Miller is going to install baseboard around the perimeter of her room's rectangular floor, shown below. The floor has dimensions 15 feet by 20 feet. The 2 doorways in her room are each 3 feet wide and do not require baseboard. Assuming an average cost of $0.30 per linear foot requiring baseboard, how much will it cost Naomi to purchase baseboard for her room? Use the CER strategy to explain your answer.
If Miller is going to install baseboard around the perimeter of her room's rectangular floor, s. it will cost Miller $19.20 to purchase baseboard for her room, assuming an average cost of $0.30 per linear foot requiring baseboard.
What is the cost price?To find out how much it will cost Miller to purchase baseboard for her room, we can use the CER (Conversion, Equation, and Re-substitution) strategy.
Conversion:
We can calculate the perimeter of the room by adding the lengths of all four sides:
Perimeter = 2(Length + Width) - 2(Doorway Width)
Perimeter = 2(15 + 20) - 2(3)
Perimeter = 64 feet
So, Miller will need 64 feet of baseboard.
Equation:
To calculate the cost of the baseboard, we can use the formula:
Cost = Length * Cost per linear foot
In this case, the length is 64 feet and the cost per linear foot is $0.30.
Cost = 64 * 0.30
Cost = $19.20
Therefore the final answer is that it will cost Miller $19.20 to purchase baseboard for her room, assuming an average cost of $0.30 per linear foot requiring baseboard.
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Use synthetic division to divide the polynomials.
(4a^3 – a² + 4a + 2) /
(a - 3
Answer:
Step-by-step explanation:
3_| 4 -1 4 2
12 33 111
4 11 37 113
4a^2 + 11a + 37 + 113/(a -3)
Elisa and her friend are dividing a 34-ounce bag of pretzels. Elisa
shares her portion equally with her two sisters. Which fraction
represents the amount of pretzels, in pounds, each person receives?
A. 17/48 lb
B. 2 1/8 lb.
c. 11 1/3 lb.
D. 1/2 lb.
Amount of pretzel each person receives is 17/16 lb.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Total weight of the bag of pretzels = 34 ounce
Elisa shares this among her two sisters equally.
Share of pretzels each sister gets = 34 / 2 = 17 ounces
We need this amount in pounds.
We know that,
16 ounce = 1 lb.
17 ounces = 17/16 lb.
Hence the amount of pretzels each get is 17/16 lb.
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Answer Fast Please And Thank You
Answer:
a d
Step-by-step explanation:
maybe
help what is the answer to this'
Answer:
Your answer is x \(\geq\) 77
Step-by-step explanation:
\(\frac{x}{7} \geq 8+3\)
\(\frac{x}{7} \geq 11\)
\(\frac{x}{7 } * 7 \geq 11*7\)
\(x \geq 77\)
Hope this helps!
40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue
40% of Damien’s marbles are 6/5 or 1.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Damien has three marbles.
40% of Damien’s marbles are blue.
That means,
40% of 3 blue marbles.
So, using the percentage formula,
40% of 3,
= 40 x 3/100
= 120/100
= 12/10
= 6/5
= 1.2
Therefore, 1.2 marbles are blue.
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how to solve \(f(-x) = 7(-x)^2- 1 / (-x)^2\)
Answer:
f(-x) = 7x^2 - 1/x^2
Step-by-step explanation:
Answer:
f(-x) = 7x^2 - 1/x^2
Step-by-step explanation:
i got the same
Show that w is in the subspace of R4 spanned by V1, V2, and V3, where these vectors are defined as follows. 1 -4 -9 -4 6 3 5 W= -2 - 1 - 1 -2 4 11 -8 - 15 To show that w is in the subspace, express was a linear combination of V1, V2, and V3. Select the correct answer below and, if necessary, fill in any answer boxes to complete your choice. O A. The vector w is in the subspace spanned by V1, V2, and V3. It is given by the formula w= (v1+ 2+ 3. (Simplify your answers. Type integers or fractions.) B. The vector w is not in the subspace spanned by V1, V2, and V3.
To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:
w = c1V1 + c2V2 + c3V3
We can write this as a matrix equation:
| 1 -4 -9 -4 | | c1 | | -2 |
| 6 3 5 1 | x | c2 | = | -1 |
| 2 4 11 -8 | | c3 | | -1 |
| -15 7 22 -14 | | -2 |
We can solve this system of equations using row reduction:
| 1 -4 -9 -4 | | c1 | | -2 |
| 6 3 5 1 | x | c2 | = | -1 |
| 2 4 11 -8 | | c3 | | -1 |
| -15 7 22 -14 | | -2 |
R2 = R2 - 6R1
R3 = R3 - 2R1
R4 = R4 + 15R1
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 12 29 -16 | | c3 | | 3 |
| 0 -23 67 -59 | | -32 |
R4 = R4 + 23R2
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 12 29 -16 | | c3 | | 3 |
| 0 0 174 -294 | | 225 |
R3 = R3 - (12/27)R2
R4 = (1/174)R4
| 1 -4 -9 -4 | | c1 | | -2 |
| 0 27 59 25 | x | c2 | = | 11 |
| 0 0 -1 22/3 | | c3 | | -13/3 |
| 0 0 1 -98/87 | | 25/58 |
R1 = R1 + 4R3
R2 = R2 - 59R3
R4 = R4 + (98/87)R3
| 1 0 -13 -10/3 | | c1 | | 21/29 |
| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |
| 0 0 1 -98/87 | | c3 | | 25/58 |
| 0 0 0 1390/2391 | | 1009/2391 |
R1 = R1 + (13/1390)R4
R2 = (1/27)R2
R3 = R3 + (98/1390)R4
| 1
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CAN SOMEONE HELP ME WITH MY MATH PROBLEM PLEASE I'VE BEEN STUCK ON THIS FOR A WHILE
Subtract a number from -2 so that the difference is equal to: the numerical reciprocal of -2
The graph of f(x) is shown below of g(x) and f(x) are inverse functions, which graph represents g(x)
Answer:
It's B
Step-by-step explanation:
Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it
Write an absolute value equation that has the solutions x = -6and x = 10
The balance y (in dollars) of your savings account after t years is represented by y=300(1.05)'. The beginning balance of your friend's account is $340, and the balance increases by $10 each year. a. Compare the account balances by calculating and interpreting the average rates of change from t=2 to t=6.
Answer:
My balance grows faster than my friends balance.
Step-by-step explanation:
My balance
\(y=300(1.05)^t\)
where
t = Time
Average rate from t=2 to t=6 is given by
\(\dfrac{t(6)-t(2)}{6-2}\\ =\dfrac{300(1.05)^6-300(1.05)^2}{4}\\ =\mathbf{17.82}\)
My friend's balance is given by
\(y=340+10t\)
Average rate is given by
\(\dfrac{t(6)-t(2)}{6-2}\\ =\dfrac{(340+10\times 6)-(340+10\times 2)}{4}\\ =\mathbf{10}\)
My balance grows faster than my friends balance.