ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.
Return on assets (ROA), return on equity (ROE), and return on invested capital (ROIC) are among the most commonly used metrics for comparing the performance of different companies. These metrics are widely used by investors, analysts, and other stakeholders to evaluate a company's financial performance and to compare it with other companies in the same industry.
Return on assets (ROA) is a measure of a company's efficiency in using its assets to generate profits. It is calculated by dividing the company's net income by its total assets. A higher ROA indicates that a company is generating more profits from its assets, while a lower ROA suggests that the company is not using its assets as efficiently.
Return on equity (ROE) is a measure of how much profit a company generates in relation to the equity invested by its shareholders. It is calculated by dividing the company's net income by its total equity. A higher ROE indicates that a company is generating more profits for its shareholders and is a sign of a well-managed company.
Return on invested capital (ROIC) is a measure of how much profit a company generates in relation to the capital it has invested in its business. It is calculated by dividing the company's net income by its invested capital. A higher ROIC indicates that a company is generating more profits from its invested capital, while a lower ROIC suggests that the company is not using its capital as effectively.
In summary, ROA, ROE, and ROIC are important metrics for comparing the performance of different companies and can provide valuable insights into a company's financial health and competitiveness.
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Use the definition of Ax to write the vector equation as a matrix equation. z_1 [5 0] + z_2 [5 2] + z_3 [-3 3] + z_4 [4 -2] = [-3 19] The vector equation written as a matrix equation is
the matrix equation for the given vector equation is:
[tex][ [5 0] [5 2] [-3 3] [4 -2] ] [z_1, z_2, z_3, z_4]^T = [-3 19]^T[/tex]
What is matrix equation?An equation of the form Av = b, in which A is a m by n matrix known as the coefficient matrix, v is a n by 1 column vector, and b is a m by 1 column vector, is known as a matrix equation (also known as a matrix-vector equation).
According to question:Given the vector equation:
[tex]z_1 [5 0] + z_2 [5 2] + z_3 [-3 3] + z_4 [4 -2] = [-3 19][/tex]
We can write this as a matrix equation by defining a matrix A and a vector x, such that:
A = [ [5 0]
[5 2]
[-3 3]
[4 -2] ]
[tex]x = [z_1, z_2, z_3, z_4]^T[/tex]
The vector equation then becomes:
[tex]Ax = [-3 19]^T[/tex]
So the matrix equation for the given vector equation is:
[tex][ [5 0] [5 2] [-3 3] [4 -2] ] [z_1, z_2, z_3, z_4]^T = [-3 19]^T[/tex]
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You flip a fair coin 3 times, and get a different amount of money depending on how many heads you get. • For O heads, you get $0. • For 1 head, you get $2. • For 2 heads, you get $4. Another piece of information is also flashing at you as you stand before the lights: • Overall, across all possible outcomes your expected winnings from the game are $6. 1. (3 points) How much do you get paid if the coin comes up heads 3 times? 2. (3 points) Write down a complete expression for the cumulative probability function for your winnings from the game.
The amount of money you get paid if the coin comes up heads 3 times is $12.
You flip a coin 3 times,
If you get o heads then $0
If you get 1 heads then $2
If you get 2 heads then $ 4
So if you toss the coin 3 times and 3 heads come up then
1 heads = $2
2 heads = $ 4
3 heads = $ 6
So , amount of money you get paid if the coin comes up heads 3 times is $12.
The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, assessed at x. It is employed to describe a table's random variables' probability distribution. And with this data, we can quickly make a CDF graphic on an Excel spreadsheet.
So, CDF determines the cumulative probability for the specified value.
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Find x rounded to one decimal place.
x =
The value of x rounded to one decimal place is 176. 0 units
How to determine the valuesUsing the trigonometric identity, sine, let's find the value of the hypotenuse for the smaller triangle, we have;
sin 60 = 88/x
find the value of sin 60
0. 8660x = 88
Divide both sides by 0. 8660
x = 101. 62
Then to determine the value of x, we have;;
tan 30 = 101.62/x
Find the value of the trigonometric identity, we have;
0. 5774x = 101. 62
divide both sides by the coefficient of x
x = 101. 62/0. 5774
divide the values
x = 175. 99 units
Hence, the value is 176. 0 units
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el perimetro de un patio rectangular es de 204 pies si el ancho del patio es de 45 pies cual es el largo del patio
The length of the rectangular patio is 57 ft.
What is a Parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Given is that the perimeter of a rectangular patio is 204 feet and the width of the patio is 45 feet.
We can write -
2(L + B) = 204
L + B = 102
L = 102 - 45
L = 57
Therefore, the length of the rectangular patio is 57 ft.
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{Question in english -
The perimeter of a rectangular patio is 204 feet if the width of the patio is 45 feet what is the length of the patio}
The headlights on a car are set so the light beam drops 2 in. for each 21 ft measured horizontally. If the headlights are mounted 24 in. above the ground, how far ahead of the car will they hit the ground?
Question content area bottom
The light beam will hit the ground at a distance of _____ ft ahead of the car
Answer:
The light beam will hit the ground at a distance of _756_ ft ahead of the car
Step-by-step explanation:
Let x be the distance in feet ahead of the car at which the light beam hits the ground.
Since the light beam drops 2 inches for each 21 feet measured horizontally, we can write the relationship between the height of the light beam and the distance x as:
24 - (2/21)x = 0
Solving for x, we get:
x = (21/2) * 24
x = 756
So the light beam will hit the ground 756 feet ahead of the car.
9yr 12yr what is the lateral the area of the cone to the nearest whole number
Answer: 678.58
Step-by-step explanation:
Find an ordered pair (x,y) that is a solution to the equation
Answer:
(3, -11)
Step-by-step explanation:
Rearranging the equation becomes a slope-intercept form:
[tex]y = 2 - 3x[/tex]
where m = slope of equation = [tex]-3[/tex]
and c = intercept = [tex]2[/tex]
Substitute any value of x into the above slope-intercept equation to determine it's corresponding y value. Together these x and y values will form an ordered pair.
For example:
Take x = 3 and substitute in the above mentioned equation:
[tex]y = 2 - 3(3)[/tex]
[tex]= 2 - 9[/tex]
y = [tex]-11[/tex]
∴ An ordered pair that is a solution to the equation: (3, -11)
Please help I will give brainly
By solving the equation 3x = x² - 4, we know that the positive solution of the given problem is x = 4.
What are equations?Using the equal symbol, they are linked.
For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.
So, using the given information, form the following equation:
3x = x² - 4
Now, solve this equation as follows:
3x = x² - 4
0 = x² - 3x - 4
0 = (x-4)(x+1)
Then, x = 4 and x = -1
Therefore, by solving the equation 3x = x² - 4, we know that the positive solution to the given problem is x = 4.
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Peggy invests $8, 400 at 6 1/2% interest for 10 years compounded semiannually. Find the amount of money in the account at the end of the term.
Answer:1200
Step-by-step explanation:1200
In a box containing 36 strawberries, 2 of them are rotten. Kyle randomly picked 5 of these strawberries.a. What is the probability of having at least 1 rotten strawberry among the 5?b. How many strawberries should be picked so that the probability of having exactly 2rotten strawberries among them equals 2/35?
a) The probability of having at least 1 rotten strawberry among the 5 is 0.262.
b) 1 strawberry must be picked so that the probability of having exactly 2 rotten strawberries among them equals 2/35.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
The probability that Kyle selects exactly k rotten strawberries among the five she randomly picks is -
P( exactly k rotten strawberries) = [tex]\frac{(^2c_k)(^{34}c_{5-k}) }{^{36}c_5}[/tex]
since if she picks k of the 2 rotten strawberries, Kyle must also select 5 - k of the 36 -2 = 34 good strawberries.
Therefore, the probability that Kyle picks at least one rotten strawberry is -
P(at least 1 rotten strawberry) = P(exactly 1 rotten strawberry) + P(exactly 2 rotten strawberries)
P(at least 1 rotten strawberry) =[tex]\frac{(^2c_1)(^{34}c_{4}) }{^{36}c_5} + \frac{(^2c_2)(^{34}c_{3}) }{^{36}c_5}[/tex]
P(at least 1 rotten strawberry) = [(2 × 46376) / 376992] + [(1 × 5984) / 376992]
P(at least 1 rotten strawberry) = (92752 / 376992) + (5984 / 376992)
P(at least 1 rotten strawberry) = 0.246 + 0.016
P(at least 1 rotten strawberry) = 0.262
The probability of selecting exactly 2 rotten strawberries among n is
P(exactly 2 rotten strawberries) = [tex]\frac{(^2c_2)(^{34}c_{n-2}) }{^{36}c_n} = \frac{(^{34}c_{n-2}) }{^{36}c_n}[/tex]
The value for n is 2/35.
P(exactly 2 rotten strawberries) =[tex]\frac{(^{34}c_{\frac{-33}{35}}) }{^{36}c_{\frac{2}{35} }}[/tex]
P(exactly 2 rotten strawberries) = 1 / 1
P(exactly 2 rotten strawberries) = 1
Therefore, the probability is 0.262 and 1 strawberry must be picked.
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Dan went to a craft fair where he spent a total of 16.00 he spent 6.00 on admission and went to 8 tables he spent the same ammount of money (m) at each table the following number sentence can be used to find how much money he spent at each table
Dan spent 1.25 at each table.
The formula used to solve this problem is m = 16 - 6/8. The calculation is as follows: 16 is the total amount of money Dan spent, 6 is the admission fee, and 8 is the number of tables. The equation is set up to find the amount of money Dan spent at each table. Taking the total amount of money spent, 16, and subtracting the admission fee, 6, leaves us with 10. We then divide this amount, 10, by the number of tables, 8, to find the amount of money spent at each table, which is 1.25. Therefore, Dan spent 1.25 at each table.
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State whether the data described below are discrete or continuous, and explain why. The times required by students to complete a statistics test Choose the correct answer below. O A. The data are discrete because the data can take on any value in an interval. O B. The data are discrete because the data can only take on specific values. O C. The data are continuous because the data can take on any value in an interval. OD. The data are continuous because the data can only take on specific values.
The data are discrete because the data can only take on specific values, So correct option is B.
What do you mean by discrete data?Discrete data refers to data that can only take on specific, separate values. It is a type of data that can be counted or enumerated, but not measured. In other words, the values can't be expressed as fractions or decimals between two whole numbers. Some examples of discrete data include the number of siblings in a family, the number of pets owned by an individual, and the number of correct answers on a test. Discrete data is distinct from continuous data, which can take on any value within a certain range.
The data are discrete because the data can only take on specific values (e.g. a time of 20 minutes, 21 minutes, 22 minutes, etc.). They cannot take on any value in an interval, such as 20.5 minutes. Discrete data represent a countable number of values, while continuous data can take on any value within a given range.
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Mirta has a savings account which gathers compound interest each year. She opened the account with a deposit of 3000
. After 4 years there is 3690.37
in the account. Work out the annual interest rate of the savings account. Give your answer as a percentage to 1 d.p.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 3690.37\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]3690.37 = 3000\left(1+\frac{\frac{r}{100}}{1}\right)^{1\cdot 4} \implies \cfrac{3690.37 }{3000}=\left(1+\cfrac{r}{100} \right)^4 \\\\\\ \sqrt[4]{\cfrac{3690.37 }{3000}}=1+\cfrac{r}{100}\implies \sqrt[4]{\cfrac{3690.37 }{3000}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[4]{\cfrac{3690.37 }{3000}}=100+r\implies 100\sqrt[4]{\cfrac{3690.37 }{3000}}-100=r\implies \boxed{5.3\approx r}[/tex]
Answer:
5.3 is about r
Step-by-step explanation:
Which equation has the roots a = 1 and = -7/5
The solution is Option C.
The value of the quadratic equation is 5x² + 2x = 7
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
5x² + 2x = 7
On simplifying the equation , we get
Subtracting 7 on both sides of the equation , we get
5x² + 2x - 7 = 0 be equation (1)
Now , the roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
Substituting the values in the equation , we get
x = [ -2 ± √ ( 4 - 4 ( 5 ) ( -7 ) ] / 10
x = [ -2 ± √ ( 144 ) ] / 10
x = ( -2 ± 12 ) / 10
So , the two roots of the equation are
x = ( -2 + 12 ) / 10
x = 10/10 = 1
And , x = ( -2 - 12 ) / 10
x = -14/10
x = -7/5
Hence , the roots of the quadratic equation are 1 and -7/5
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According to a survey, 40% of adults watch a particular television show. Six adults are selected at random. The binomial distribution below shows the probability that k out of 6 adults watch the television show. P(k = 0) = 0.0467 P(k = 1) = 0.1866 P(k = 2) = 0.3110 P(k = 3) = 0.2765 P(k = 4) = 0.1382 P(k = 5) = 0.0369 P(k = 6) = 0.0041 The distribution is symmetric. skewed. both symmetric and skewed.
The distribution is b) skewed.
The sum of the probabilities is: 1
How to find the answerIn a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.
The next quantity of significance in a binomial model is the number of independent trials, n.
In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;
n = 6 and p = 0.4
A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of these conditions is met since p is 0.4 while n is just 6 which is relatively small.
Thus we conclude that the distribution is not symmetric but rather skewed.
The sum of the probabilities is any discrete probability distribution such as the Bernoulli, binomial, negative binomial, Poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.
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The work done by the force 4i−3j+2k in moving a particle along a straight line from the point (3,2,−1) to (2,−1,4) is:A. 0 unitsB. 4C. 15D. 19
The work done by the force 4i−3j+2k is the scalar product of the force vector and the displacement vector between the two points. In this case, the displacement vector is (3−2, 2−(−1), −1−4) or (1,3,−5). The scalar product of these two vectors is (1)(4)+(3)(−3)+(−5)(2) = 15 units.
Work is the scalar product of the force and displacement vectors. The force vector in this problem is given as 4i−3j+2k, while the displacement vector (the vector from the starting point to the end point) is (3−2, 2−(−1), −1−4) or (1,3,−5). The scalar product of these two vectors is (1)(4)+(3)(−3)+(−5)(2) = 15 units. This means that the work done by the force is 15 units.
The work done by a force is the energy transferred to an object by the force. It is calculated by taking the scalar product of the force and displacement vectors. This scalar product gives the magnitude of the work done by the force, which in this case is 15 units. This means that the force transferred 15 units of energy to the object by moving it from the starting point to the end point.
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TBill rates 2016 Here are a plot and regression output showing the federal rate on 3-month Treasury bills from 1950 to 1980, and a regression model fit to the relationship between the Rate (in %) and Years Since 1950 (www.gpoaccess.gov/eop/). a. What is the correlation between Rate and Year? b. Interpret the slope and intercept. c. What does this model predict for the interest rate in the year 2020?
The correlation between Rate and Year is positive. The slope of the regression line is 0.0275 and the intercept is -9.8086. The model predicts that the interest rate in 2020 will be 2.38%.
The correlation between Rate and Year is positive, which means that as the years go by, the interest rate on 3-month Treasury bills is increasing. The slope of the regression line (0.0275) tells us that the average increase in the interest rate per year is 0.0275%. The intercept of the regression line (-9.8086) represents the interest rate in 1950.
This model predicts that the interest rate in 2020 will be 2.38%, which is obtained by plugging in 1970 for the Year variable and solving for the Rate. It's important to keep in mind that this model is based on historical data, and future interest rates may not follow the same pattern as in the past.
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100 POINTS WILL PLEASEEEEEE HELP
Answer:
b
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
FILL IN THE BLANK. an unbiased statistic is one in which the average value of the statistic is __ the population parameter.
Answer:
Equal to
Step-by-step explanation:
solve 2x/\2 - 5x -3 is greater than or equal to zero algebraically
The solution to the given inequality 2x/2 - 5x -3 ≥ 0 is x ≤ - 3/8.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have to solve 2x/2 - 5x -3 is greater than or equal to zero algebraically.
As per the question, we have inequality as follows:
2x/2 - 5x -3 ≥ 0
2x/2 - 5x ≥ 3
Multiply by 2 on both sides of the inequality,
4x - 20x ≥ 6
-16x ≥ 6
Divided by -16 and flip the sign of the above inequality,
x ≤ - 6/16
x ≤ - 3/8
This is the solution to the given inequality.
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A party venue charges an event fee of $70 in addition to charging $20 per person at the party.
Use the Ray tool to make a graph that shows C, the total cost of a party at this venue for p people at the party. Graph the ray by plotting two points. The first point selected must be the endpoint of the ray. The second point can be any other point on the ray.
Therefore , the solution of the given problem of equation comes out to be another point on the line would be (3, 110).
What is equation?In arithmetic equations, the identical sign (=) is used to denote the equivalence of two assertions. It is demonstrated that using mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. For fact, the equal sign splits the number 12 into two separate parts, even if the answer is y + 6 = 12. It is possible to determine how many letters are also present on either end of this character.
Here,
The equation for the total cost of a party at this venue for p people is:
C = 20p + 70
To graph this equation, you can plot two points and draw a line passing through them.
One point can be the y-intercept (0, 70), which represents the fixed event fee charged by the venue.
The second point can be any other point on the line. For example, when there are 3 people at the party, the total cost would be:
C = 20(3) + 70 = 110
So another point on the line would be (3, 110). Plotting these two points and drawing a line passing through them will give you the graph of the total cost as a function of the number of people at the party.
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What is the volume of this figure 10 in. By 1 in. By 9 in. By 8 in. By 7 in.
Answer:504
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!!
1. What patterns do you observe in the table? Compare these patterns with those you observe in the graph in Question A.
2. What is the fixed perimeter for the rectangles represented by this table? Explain.
3. What is the greatest area possible for a rectangle with this perimeter? What are the dimensions of this rectangle?
Answer:
1. The pattern that I observe in the table above is that the fixed perimeter of these rectangles are 24 meters, and that the graph to represent this function is in the shape of a parabola with a vertex point at (6, 36). As for comparing the patterns to the graph in question A, assuming you're referring to the question I just answered, the graphs both are parabola shaped, with a vertex point and two zeros, one of them being the same at the origin of the coordinate plane (0, 0).
2. The fixed perimeter for the rectangles represented by this table is 24 meters because if you want to find the fixed perimeter of these rectangles, you can pick any point that is not a zero point of the graph. For example, if the length of a rectangle is 1 meter, and the area is 11 [tex]m^2[/tex], we know the width would be 11 meters. Using this information, we know that the fixed perimeter would be (1 + 11) × 2 = 12 × 2 = 24 meters.
3. The greatest area possible for a rectangle with a perimeter of 24 meters would be 36 [tex]m^2[/tex] because we can graph these points to form a parabola that represents this situation, and the vertex point of this graph would be the greatest area possible out of all the possible combinations of length and width that would still fit the criteria of having a perimeter of 24 meters.
Based on the table, the vertex point of the graph would be (6, 36), therefore the greatest area possible for a rectangle with this perimeter would be 36 [tex]m^2[/tex]. As for the dimensions of this rectangle, we know the length is 6 meters, and the area is 36 [tex]m^2[/tex], so the width would be 36 ÷ 6 = 6 meters. Therefore the dimensions of this rectangle would be 6 meters in length and 6 meters in width.
Have a great day! Feel free to let me know if you have any more questions :)
seven people are going to share an 84-ounce bottle of soda. how many ounces of soda will each person get to dink
Answer:
Each person will get 12 ounces of soda
Step-by-step explanation:
84 ounces divided by 7 people is 12 ounces per person
Answer:
each person will get 12oz
Step-by-step explanation:
84oz divided by the 7 people will get 12oz per person
In 2003, a school population was 1389. By 2008 the population had grown to 1654
1) Based on the slope equation, between 2003 and 2008, the school population grew by 265 students.
2) It took 5 years for the school population to grow from 1,389 to 1,654.
3) The average population growth per year was 53 students per year.
4) In the year 2000, the school population was 1,230.
5) The equation for the population, P, of the school in t years after 2000 is given as P = 1,230 + 53t.
6) Based on the equation above, the population of the school can be predicted to be 2,025 in 2015.
What is the slope?The slope describes the quotient or ratio of the rise and run.
The slope is found from the linear equation, y = mx + b, where m is the slope and b is the y-intercept.
The school population in 2003 = 1,389
The school population in 2008 = 1,654
Rise (increase) in population = 265 (1,654 - 1,389)
Run (Increase) in years = 5 years (2008 - 2003)
The slope = Rise/Run = 265/5 = 53
Annual increase in the school population = 53 students
Population in 2000:
Difference in years between 2003 and 2000 = 3
Population in 2000 = 1,389 + 53(-3)
= 1,230
Population after 2000:
= 1,230 + 53t
In 2015, the Population should be:
1,230 + 53t
1,230 + 53(15)
= 1,230 + 795
= 2,025
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does anybody know the anwser to 47,61 : 15,87 =
whoever helps wil be crownd as brainliest
The quotient of 47.61 and 15.87 has the result given as follows:
47,61 : 15,87 = 3.
How to obtain the result of the operation?The operation for this problem is defined as follows:
47,61 : 15,87 =
The : symbol means that the operation is a division, that is, we must obtain the quotient of dividing 47.61 by 15.87.
Using a calculator, we have that 47.61 is three times 15.87, hence the result of the quotient is given as follows:
47,61 : 15,87 = 3.
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7x - y = 7
x + 2y = 6
what's the answer to this
Answer:
84.8 squared centimeters
Step-by-step explanation:
You know the height is 8 cm
You know one of the bases has a length of 15.5 cm
You know one of the bases has a length of 5.7 cm
Formula to find a trapezoid:
[tex]\frac{b_{1}+b_{2}}{2}[/tex]×h
so...
substitute!!!!!
8. Use long division to find (2x³ - 7x² + 7x - 2) /(x - 2). Show your work
Answer:
2x² - 3x + 1
Step-by-step explanation:
x - 2 | 2x³ - 7x² + 7x - 2
-- 2x³ - 4x² <== 2x²
- 3x² + 7x - 2
-- - 3x² + 6x <== -3x
x - 2
-- x - 2 <== 1
0 | 2x² - 3x + 1
Thus, the quotient is 2x² - 3x + 1
Answer:
Hello! :)
Answer:
Solved using long polynomial division: [tex]2x^{2} -3x + 1[/tex]
Solved using polynomial division: (2x-1)(x-1)
Sorry I was in a hurry and didn't type out the whole step-by-step.
PLEASE HELP MEEEEEE
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The value of the varaible 'x' will be 4. And the value of the varaible 'y' will be 7.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
a) The equation is given as,
4 / 8 = 3 / (y - 1)
1/2 = 3 / (y - 1)
y - 1 = 6
y = 7
b) The equation is given as,
5 / (7 + 2x) = 2 / (x + 2)
5(x + 2) = 2(7 + 2x)
5x + 10 = 14 + 4x
5x - 4x = 14 - 10
x = 4
The value of the varaible 'x' will be 4. And the value of the varaible 'y' will be 7.
More about the dilation link is given below.
https://brainly.com/question/2856466
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