x ^ 2–2x + 1
by splitting this equation
x ^ 2 - x -x + 1
there are a two terms x ^ 2 - x and - x + 1
we take x is common from first and -1 is common from second
x ( x - 1 ) and -1 ( x-1 )
the quadratic roots are (x-1) and (x-1)
x - 1 = 0
x = 1 in both
Therefore , the quadratic roots are 1 , 1 .
Jennifer's bill for lunch was $15.00
If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answer:
the answer is $3
Step-by-step explanation:
I just looked it up lol
5/12(fraction) of a buundle of drinking straws are white. The rest are pink and purple. The Ratio of the number of pink straws to the number of purple straws is 3:4. There are 48 more white straws than pink straws. Find the total number of straws in the bundle.
P.S. Solve using ratio. ASAP pls.
A punch recipe calls for orange juice, ginger ale, and vodka to be mixed in the ratio of 4.5:2.5:1. How much orange juice and vodka should be mixed with 2-litre bottle of ginger ale?
a. 3.6 litres orange juice; 0.8 litres vodka b. 3.5 litres orange juice; 0.75 litres vodka c . 6 litres orange juice; 0.125 litres vodka d . 5 litres orange juice; 1.1 litres vodka
e .4.1 litres orange juice; 0.9 litres vodka
The amounts of orange juice and vodka that should be mixed with a 2-litre bottle of ginger ale is a. 3.6 litres orange juice; 0.8 litres vodka.
To determine the amounts of orange juice and vodka that should be mixed with a 2-litre bottle of ginger ale, we need to calculate the ratios based on the given recipe.
The ratio of orange juice to ginger ale is 4.5:2.5, which simplifies to 9:5.
The ratio of vodka to ginger ale is 1:2.5, which also simplifies to 2:5.
Let's calculate the amounts:
Orange Juice:
The total ratio of orange juice to ginger ale is 9:5. Since the ginger ale is 2 litres, we can set up the following proportion:
(9/5) = (x/2)
Cross-multiplying, we get:
5x = 18
Solving for x:
x = 18/5
x ≈ 3.6 litres
Vodka:
The total ratio of vodka to ginger ale is 2:5. Again, using the 2-litre ginger ale bottle, we set up the proportion:
(2/5) = (y/2)
Cross-multiplying, we get:
5y = 4
Solving for y:
y = 4/5
y ≈ 0.8 litres
Therefore, the amounts of orange juice and vodka that should be mixed with a 2-litre bottle of ginger ale are approximately 3.6 litres of orange juice and 0.8 litres of vodka.
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what does a correlation coefficient of 0 indicate?
Answer:
no linear relationship exists between the two variables being compared
Step-by-step explanation:
square root 27 minus square root 3
Answer:
3.46410161514
Step-by-step explanation:
the square root of 27 = 5.19615242271
and the square root of 3 = 1.73205080757
5.19615242271 - 1.73205080757 = 3.46410161514
hope this help
plz mark brainlest
please help with this im super lost and confused
Answer:
D) C': ( -3, -2), D': ( -4, 1), E': ( -1, -2)
Step-by-step explanation:
Formula for this equation:
(x - 5, y - 3)
C:
(2, 1)
(x - 5, y - 3)
C': ( -3, -2)
E:
(4, 1)
(x - 5, y - 3)
E': ( -1, -2)
D:
(1, 4)
(x - 5, y - 3)
D': ( -4, 1)
Each month, Tomas buys 4 boxes of crunchy granola bars and 3 boxes of chewy granola bars. Crunchy boxes contain x bars, and chewy boxes contain y bars. Complete the expressions below for the total number of granola bars Tomas buys after 5 months. Fill your answers into the blanks.
Answer:
Step-by-step explanation:x bars 4 and bars come in 3
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5
The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.
The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.
The conversion factor from inches to meters is 0.0254 meters per inch.
Width in meters = 14.60 inches * 0.0254 meters/inch
Height in meters = 10.95 inches * 0.0254 meters/inch
Area = Width in meters * Height in meters
We calculate the area:
Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters
Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters
Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters
Now, we determine the number of significant figures.
The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.
Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.
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4 - dictado audio you will hear a conversation. Listen carefully and write what you hear during the pauses. The entire conversation will then be repeated so you can check your work
According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.
What is the conversation about?To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.
Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.
Note: This question is incomplete. Here is the complete information:
Conversation:
Hello
Hello, How are you?
I am fine, and you?
i am fine too, What are you doing?
I am studing for an exam this week.
Oh, sorry I won´t distract you.
Don´t worry.
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What is the equation of "The sum of 75 and 46 is divided by 5 and the difference of quotient and 10 is multiplied by 2" this is a grade 7 question btw
Answer:
{(75+46)/5-10}*2
Step-by-step explanation:
Sum of 75 and 46 is divided by 5 and the difference of quotient and 10 is multiplied by 2.Which of the following is an example of quantitative data?A. North America is moving across Earth's surface several centimeters per yearB. the river has flooded a low-lying areaC. the volcano is releasing much steamD. volcanoes are dangerousE. when held, one rock feels heavier than another rock
The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year
Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.
Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.
B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.
C. The volcano is releasing much steam describes a qualitative observation of steam release.
D. Volcanoes are dangerous makes a general statement without providing specific numerical information.
E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.
Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.
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Franklin saw 12 blue, 18 red and 30 white cars drive by his house in 1 hour. What percent of the cars were blue?
A. 12%
B. 18%
C. 20%
D. 30%
Answer:
C
Step-by-step explanation:
5. Elias has 1/2 of a candy bar. He shares 1/4 of it with his best friend. How much of the candy bar did his best friend receive?
Answer:
1/8
Step-by-step explanation:
say the bar has 20 pieces. he has 10 pieces. and he gave away 1/4 of those 10
1/4 x 10 = 2.5
20 / 2.5 = 8
So his friend recieved 1/8
you could also just do 1/2 x 1/4 which is 1/8
Answer:
1/8 of the candy bar.
Step-by-step explanation:
Elias has 1/2 of a candy bar.
He gave 1/4 of 1/2 to his friend.
\(\sf Friend's s\ share = \dfrac{1}{4} \ of \ \dfrac{1}{2}\)
\(\sf =\dfrac{1}{4}*\dfrac{1}{2}\\\\=\dfrac{1}{8}\)
a)
2(x + 3) = x-4
Can someone help me pls...??
Answer: -10 :))))
i hope this helps
Solve the equation P=s+t+r for s.
Answer:
\(\huge\boxed{\boxed{s=P-t-r}}\)
Step-by-step explanation:
\(P=s+t+r\qquad|\text{subtract}\ t\ \text{and}\ r\ \text{from both sides}\\\\P-t-r=s+t+r-t-r\\\\P-t-r=s\Rightarrow\boxed{s=P-t-r}\)
Question 3 (2 points)
Triangle P'Q'R' is a dilation of triangle PQR using center C and scale factor 1.5.
с
Q
3.9
3.1
R
What is the length of segment P'Q'? Explain how you know.
SOMEONE HELP PLEASE!
It should be noted that the value of angle 6 when Angie 5 is illustrated we 2x + 12 will be 65°.
How to calculate the angle?It should be noted that angle 3 and angle 5 will be equal to 180°. This will be illustrated as:
3x - 2 + 2x + 12 = 180
Collect the like terms
5x = 180 + 2 - 12
5x = 170
Divide
x = 170/5.
x = 34
Angle 5 will be:
2x + 12
= 3(34) + 13
= 102 + 13
= 115°
It should be noted that angles on a straight line equals to 180°.
Therefore, angle 5 + angle 6 = 180°
angle 6 = 180° - 115° = 65°
Therefore, it should be noted that the value of angle 6 when Angie 5 is illustrated we 2x + 12 will be 65°.
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Solve for X step by step
You have the following information about Burgundy Basins, a sink manufacturer. 20million Equity shares outstanding Stock price per share Yield to maturity on debt $ 38 9.5% Book value of interest-bearing debt $ Coupon interest rate on debt Market value of debt 345 million 4.3% $ 240 million $ 400 million Book value of equity Cost of equity capital Tax rate 11.6% 35% Burgundy is contemplating what for the company is an average-risk investment costing $36 million and promising an annual A $4.8 million in perpetuity. a. What is the internal rate of return on the investment? (Round your answer to 2 decimal places.) Answer is complete and correct. Internal rate of return 13.33 % b. What is Burgundy's weighted-average cost of capital? (Round your answer to 2 decimal places.) Answer is complete but not entirely correct. Weighted-average cost 9.49 %
The internal rate of return on the investment for Burgundy Basins is 13.33%.
How can the internal rate of return on the investment for Burgundy Basins be described?The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.
Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.
In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.
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A gym membership costs $20 each month plus $2 per visit. The total cost for a month can be modeled by y = 20+ 2x, where x is the number of visits made for a month. graph the function
The graph of the line represents the total cost for a month as a function of the number of visits made.
To graph the function y = 20 + 2x, we can plot several points and then connect them with a straight line. Here are a few points we can use:
When x = 0 (no visits), y = 20
When x = 1 (one visit), y = 22
When x = 2 (two visits), y = 24
When x = 3 (three visits), y = 26
We can plot these points on a coordinate plane with x on the horizontal axis and y on the vertical axis. After this, we can then connect the dots with a straight line. This line represents the total cost for a month as a function of the number of visits made.
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consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. you first regress y on x1 only and find no relationship. however when regressing y on x1 and x2, the slope coefficient changes by a large amount. this suggests that your first regression suffers from:
When a multiple regression model created incorrectly then leaves out one and more than one important factors are omitted.
Multiple regression is a statistical way that can be used to analyze the relationship between a single dependent variable and several independent variables. Equation is written as y =
We have regressors x₁ and x₂ where both variables are determinants of the dependent variable. you first regressor y on x₁ only and find no relationship. however when regressing y on x₁ and x₂.
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Complete question:
consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. you first regress y on x1 only and find no relationship. however when regressing y on x1 and x2, the slope coefficient changes by a large amount. this suggests that your first regression suffers from:
Is x+2y=6
2x-3y=26
have no solution,one solution, or infinity many solution
Answer:
1
Step-by-step explanation:
x + 2y = 6, multiply by 2 = 2x + 4y = 12
2nd equation: 2x - 3y = 26
It has one solution
Answer: One solution
Step-by-step explanation:
Convert both equations into slope-intercept form:
x+2y=6
2y=6-x
\(y=\frac{6-x}{2}\)
Slope = 6/2 = 3
2x-3y=26
y=2x-26/3
Slope = 2/3
Therefore, he system of equations have one solution because their slopes are not equal.
What is the pattern rule that is used to get the next term in the pattern?
8, 32, 128, 512, ...
Answer:
The Pattern is the last number is multiplied by 4
\(8*4^{n-1}\)
Step-by-step explanation:
lets go freé 50 points enjooy
Answer:
Step-by-step explanation:
thank you
Answer:
Thanks.
Step-by-step explanation:
I hope this message finds you well. I wanted to take a moment to express my gratitude for the 50 points you gave me. Your kind gesture means a lot to me and I truly appreciate your thoughtfulness. It's an honor to have your support and encouragement, and I look forward to continuing to learn and grow with your help.
calculate the volume and the location of the centroid of the volume in e8.1.23
The volume of e8.1.23 is 50/3 cubic units, and the centroid is at a height of y from the top. To find the centroid, divide the figure into two parts: the triangular part and the rectangular part. The total volume is V = (2/3)² (2/3+1) + 2(4/3)²/3V, which is 50/9 cubic units. The centroid is located at point O, with the height of O being y.
Given e8.1.23, we have to calculate the volume and the location of the centroid of the volume. Below are the steps:
Step 1: Calculation of volumeWe have to find the volume of the given e8.1.23, given as:In the above figure, let's consider a small element dx at a distance x from the top of the container. Its cross-section will be (2x+1)2. Let's now find the volume of this element. It will be:
Volume of the element = area × heightdx
= (2x + 1)² dx
Further integrating the above equation with limits from 0 to 2:
V = ∫02 (2x + 1)² dxV
= ∫02 (4x² + 4x + 1) dxV
= [4/3 x³ + 2x² + x]02V
= (4/3 × 2³ + 2 × 2² + 2) − 0V
= (32/3 + 8 + 2) − 0V
= 50/3 cubic units
Step 2: Calculation of CentroidThe centroid of the volume will be at a height y from the top. Let's divide the figure into two parts, one part will be the triangular part and the other part will be the rectangular part.Let the height of the rectangular part be a.Let the height of the triangular part be b. Using the above figure,we know that b + a = 2 ⇒ b = 2 - aFor finding the location of the centroid of the volume, we have to use the formulae:where A1, A2, y1, and y2 are as follows:
A1 = a(2x+1)A2
= (2/3) b² y1
= a/2 y2
= b/3
For rectangular part:
A1 = a(2x+1) y1
= a/2V1
= ∫02 a(2x + 1) (a/2) dxV1
= a/2 ∫02 (2ax + a) dxV1
= a/2 [ax² + ax]02V1
= a/2 (2a² + 2a)V1
= a² (a+1) cubic units
For triangular part:
A2 = (2/3) b²y2
= b/3V2
= ∫02 (2x + 1) (2/3) b² (x/3) dxV2
= 4b²/27 ∫02 x² dx + 2b²/9 ∫02 x dx + b²/3 ∫02 dxV2
= 4b²/27 [x³/3]02 + 2b²/9 [x²/2]02 + b²/3 [x]02V2
= 2b²/27 [8 + 4] + b²/3 [2]V2
= 2b²/3 cubic units
Therefore, the total volume is:
V = V1 + V2= a² (a+1) + 2b²/3 cubic units
Let's now find a and b:From the figure, b = 2 - a
Therefore, 2 - a + a = 2
⇒ a = 2/3
Therefore, b = 4/3
Therefore, the total volume is:
V = (2/3)² (2/3+1) + 2(4/3)²/3V
= 50/9 cubic units
Location of the centroid: Let's consider a point O as shown in the figure. The height of the point O will be y. For finding the value of y, let's first find the moments of each part with respect to O.
Using the formula M = Ay and M1 = A1 y1 + A2 y2 M = M1 = Ay
⇒ a(2x+1) [a/2] = [(2/3) b²] [b/3] (2x+1)/2
= b²/9 (2x+1)
= 2b²/9x
= (2b²/9 - 1)/2
For rectangular part:
A1 = a(2x+1)
= (2/3)(2/3 + 1) (2x + 1)
= 2/3 (2x+1) = 4/9
For triangular part:
A2 = (2/3) b²
= (2/3) (4/3)²
= 32/27y2
= b/3
= 4/9
Let's now find y = M/Vy
= M1/V
= (A1 y1 + A2 y2)/V
= (A1 y1)/V + (A2 y2)/V
= M1/V
= 4/3 + 32/81y
= 50/27
Thus, the volume of the given e8.1.23 is 50/3 cubic units and the location of the centroid is 50/27 units from the top.
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what would the coordinates (4, 15) tell you about the time and position of the runner?
The coordinates (4, 15) tell us about the position of the runner on a coordinate plane, but they do not provide any information about the time the runner was at that position.
To determine information about the runner's time, additional data would be required.
A coordinate plane is a two-dimensional plane consisting of two perpendicular axes that are labeled with coordinates. These coordinates are written as (x, y), where x represents the horizontal position of a point and y represents the vertical position of the point.
The point (4, 15) represents a point that is located 4 units to the right of the origin (x-axis) and 15 units up from the origin (y-axis).
However, this coordinate alone cannot provide information about the time the runner was at that position. Additional data, such as the time the runner arrived at or departed from that position, would be needed to determine information about the runner's time.
Thus, the coordinates (4, 15) tell us about the position of the runner on a coordinate plane, but they do not provide any information about the time the runner was at that position. To determine information about the runner's time, additional data would be required.
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Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
what is approximation probability that two people in a group of seven have the same birthday
The approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.
The approximation probability that two people in a group of seven have the same birthday can be determined using a formula.
To calculate the probability that two people in a group of seven have the same birthday, we can use an approximation formula.
The formula is given as:P(n) = 1 - (365!/(365^n *(365-n)!)) * (1/n!)
Where P(n) is the probability that at least two people share the same birthday, n is the number of people in the group, and the exclamation mark (!) is the factorial function.
For a group of seven people, we substitute n=7 in the formula, and we get:
P(7) = 1 - (365!/(365^7 *(365-7)!)) * (1/7!)This simplifies to:P(7) ≈ 1 - 0.9999993 = 0.0000007
Therefore, the approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.
The probability is incredibly small, and it implies that it is unlikely for two people in a group of seven to have the same birthday.
This is because there are only 365 possible birthdays in a year, and the sample size of seven is too small to increase the likelihood of a match.
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Identify some of the key features of the graph. That is, determine if the function is monotonically increasing or decreasing, state the end behavior, find the x- and y-intercepts, find the maximum or minimum , and state the domain and the range of the graph (without considering the context).
To identify some of the key features of a graph, follow these steps:
1. Monotonicity: Determine if the function is monotonically increasing or decreasing. To do this, analyze the direction of the graph. If the graph goes from left to right and consistently rises, then the function is monotonically increasing. If the graph goes from left to right and consistently falls, then the function is monotonically decreasing.
2. End Behavior: State the end behavior of the graph. This refers to the behavior of the graph as it approaches infinity or negative infinity. Determine if the graph approaches a specific value, approaches infinity, or approaches negative infinity.
3. X-intercepts: Find the x-intercepts of the graph. These are the points where the graph intersects the x-axis. To find the x-intercepts, set the y-coordinate equal to zero and solve for x. The solutions will be the x-intercepts.
4. Y-intercept: Find the y-intercept of the graph. This is the point where the graph intersects the y-axis. To find the y-intercept, set the x-coordinate equal to zero and solve for y. The solution will be the y-intercept.
5. Maximum or Minimum: Determine if there is a maximum or minimum point on the graph. If the graph has a highest point, it is called a maximum. If the graph has a lowest point, it is called a minimum. Identify the coordinates of the maximum or minimum point.
6. Domain: State the domain of the graph. The domain refers to the set of all possible x-values that the function can take. Look for any restrictions on the x-values or any values that the function cannot take.
7. Range: State the range of the graph. The range refers to the set of all possible y-values that the function can take. Look for any restrictions on the y-values or any values that the function cannot take.
By following these steps, you can identify the key features of a graph, including monotonicity, end behavior, x- and y-intercepts, maximum or minimum points, domain, and range. Remember to consider the context of the problem if provided, as it may affect the interpretation of the graph.
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