Someone please tell me the answer step by step. It is a vinculum question.
-2m - [-3n + { 5n - ( 7m - 2n + m ) } ]
there's a vinculum on "( 2n + m )" part. The answer is 4m + 10n but how??
Answers
Combine this with the previous result: -2m + 6n + 6m - 2n + 2n + m. Simplify by combining like terms: 4m + 10n. So the final answer is 4m + 10n.
A vinculum is a horizontal line placed over an expression. It is used to group terms and indicate that the expression is to be treated as a single entity before proceeding with the mathematical operation.
In some cases, the expression under the vinculum may need to be simplified before continuing with the operation. Here are the steps to simplify the expression:
Start with the innermost parentheses: -2m - [-3n + { 5n - ( 7m - 2n + m ) } ]
Work inside the curly braces next, by distributing the negative sign: -2m - [-3n + 5n - 7m + 2n - m]
Combine like terms inside the brackets: -2m - [-6n - 6m + 2n]
Distribute the negative sign again: -2m + [6n + 6m - 2n]
Now work inside the vinculum: 2n + m
Combine this with the previous result: -2m + 6n + 6m - 2n + 2n + m
Simplify by combining like terms: 4m + 10n
So the final answer is 4m + 10n.
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Related Questions
write y=2/5+1 in standard form
Answers
Answer: Because the standard form is y=mx+b, and you are already in that form
Step-by-step explanation: y=mx + b is the standard form!
y=2/5x+1 is already in standard form if you compare 2 equations!
The last step when figuring the correlation coefficient is to
a) multiply the sum of the cross-products of Z scores by the sample size
b) divide the sum of the cross-products of Z scores by the sample size
c) add the sample size to the sum of the cross-products of Z scores
d) subtract the sample size from the sum of the cross-products of Z scores
Answers
The correct answer is (b) divide the sum of the cross-products of Z scores by the sample size.
When calculating the correlation coefficient, also known as Pearson's correlation coefficient, the last step involves dividing the sum of the cross-products of Z scores by the sample size. The correlation coefficient measures the strength and direction of the linear relationship between two variables.
To calculate the correlation coefficient, we follow these steps:
Standardize the variables: Convert the raw scores of each variable into Z-scores. The Z-score represents the number of standard deviations a particular score is from the mean. This step is done to put both variables on the same scale and make them comparable.
Calculate the cross-products: Multiply the Z-scores of the corresponding pairs of observations. This step gives us the cross-products of Z-scores for each pair of observations.
Sum the cross-products: Add up all the cross-products of Z-scores.
Divide by the sample size: Divide the sum of the cross-products of Z-scores by the sample size. The sample size represents the number of paired observations used in the analysis.
By dividing the sum of the cross-products by the sample size, we obtain the covariance of the variables. The covariance measures the extent to which the variables vary together. However, the covariance itself is not sufficient to determine the strength and direction of the relationship.
The final step involves dividing the covariance by the product of the standard deviations of the variables. This step normalizes the covariance and results in the correlation coefficient, which is a value between -1 and 1. The correlation coefficient indicates the strength and direction of the linear relationship between the variables. A positive correlation coefficient indicates a positive linear relationship, a negative correlation coefficient indicates a negative linear relationship, and a correlation coefficient close to zero indicates a weak or no linear relationship.
Therefore, the last step in calculating the correlation coefficient is to divide the sum of the cross-products of Z-scores by the sample size.
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1000 people were asked their preferred method of exercise. The following table shows the results grouped by age.
18-22 23-27 28-32 33-37 total
Run 54 40 42 66 202
Bike 77 68 90 70 305
Swim 28 43 50 52 173
Other 90 78 71 81 320
Total 249 229 253 269 1000
You meet 25 yo who too the survey. What is the proba the she prefers biking?
please express your answer in the form of a fraction
Answers
The probability that a 25-year-old person from this group prefers biking is: 68/229.
How to determine the probability that a 25-year-old person from this group prefers bikingThe total number of people in the survey between the ages of 23 and 27 is 229. The number of people who prefer biking in this group is 68.
Therefore, the probability that a 25-year-old person from this group prefers biking is: 68/229
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 1:
68/229 = 68/229
So the probability that a 25-year-old person from this group prefers biking is 68/229.
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can you apply the properties of rational exponents to an example?
Answers
We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.
Certainly! Here's an example:
Simplify the expression: \((16x^4)^(-1/2)\)
We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:
\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)
Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):
\(16^(-1/2) = 1/16^(1/2) = 1/4\)
Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):
\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)
Substituting these simplifications back into the original expression, we get:
\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)
Therefore, the simplified expression is \(1/(4x^2).\)
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seven tenths written is standard form is 70.is it true or false?
Answers
Answer: It is 0.7
Step-by-step explanation: Seven tenths is the first digit on the right of the decimal. Hope this helped! If you need anymore help or further explanation I will be glad to help!
Hole for f(x)= x+1 ÷ x+4
Answers
The number of holes in the graph for the given function is 0.
The given function is f(x) = (x+1)/(x+4).
Find the asymptotes.
Vertical Asymptotes: x= -4
Horizontal Asymptotes: y=1
No Oblique Asymptotes
Since no factors can be removed from the denominator, there are no holes in the graph.
Therefore, the number of holes in the graph for the given function is 0.
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Mike an experienced bricklayer can build a wall in 5 hours while his son, who is learning can do the job in 20 hours. How long does it take for them to build a wall together.
Answers
Answer:
4 hours
Explanation:
Mike can build a wall in 5 hours. His work rate is:
\(\frac{1}{5}\)His son can do the job in 20 hours. The son's work rate is:
\(\frac{1}{20}\)Let the time it takes both of them = x hours. Then, their joint rate is:
\(\frac{1}{x}\)Therefore:
\(\frac{1}{5}+\frac{1}{20}=\frac{1}{x}\)We solve the equation for x:
\(\begin{gathered} \frac{4+1}{20}=\frac{1}{x} \\ \frac{5}{20}=\frac{1}{x} \\ \text{ Cross multiply} \\ 5x=20 \\ \text{ Divide both sides by 5} \\ \frac{5x}{5}=\frac{20}{5} \\ x=4\text{ hours} \end{gathered}\)It takes them 4 hours to build a wall together.
Please Help ASAP! The equation for the line of best fit for change in temperature, y, to amount of humidity in percent, h, is given by ŷ = 0.6h + 9.1. On Sunday, the observed amount of humidity was 23 percent and the temperature change was 20.7 degrees. Find and interpret the residual.
−2.2; The line of best fit overpredicts the temperature change.
2.2; The line of best fit underpredicts the temperature change.
43.6; The line of best fit overpredicts the temperature change.
−43.6; The line of best fit underpredicts the temperature change.
Answers
The residual of the line of fit, along with the interpretation, is given as follows:
−2.2; The line of best fit overpredicts the temperature change.
How to calculate the residual?For a data-set, the definition of a residual is that it represents the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
The observed value for this problem is given as follows:
20.7.
The predicted value is taken from the line of fit, as follows:
y = 0.6(23) + 9.1 = 22.9.
Then the residual is given as follows:
Residual = 20.7 - 22.9 = -2.2, meaning that the line of fit overpredicts the temperature change.
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Find the value of x
Answers
Answer:
dkeekek
Step-by-step explanation:
kddeejwkwnqnnwwnwwnwnwnwwnw
Answer:
use pythagoras theorem for solving this
value of x is 12 cm
x2 – y2 = 16. (a) Solve the system of equations: : { {= x² - y 1 7 = (b) Graph the solution set of the system of inequalities: { x² - y² 1 x2 – y < 7 > 0 х Be sure to label all the corners.
Answers
(a)To solve the system of equations, x^2 - y^2 = 16 and x^2 - y = 7, we can use substitution or elimination method to find the values of x and y.
(b) To graph the solution set of the system of inequalities, x^2 - y^2 > 7 and x^2 - y < 0, we need to plot the boundaries and shade the appropriate regions based on the given inequalities.
(a)Let's use the substitution method to solve the system of equations:
From the second equation, we can rewrite it as x^2 = y + 7.
Substituting this value of x^2 in the first equation, we get (y + 7) - y^2 = 16.
Rearranging the equation, we have -y^2 + y + 7 - 16 = 0.
Simplifying further, we get -y^2 + y - 9 = 0.
Now, we can solve this quadratic equation for y by factoring or using the quadratic formula.
After finding the values of y, we can substitute them back into the second equation to find the corresponding values of x.
(b)To graph the solution set, we first graph the boundaries of the inequalities. For x^2 - y^2 > 7, we draw the curve of the equation x^2 - y^2 = 7, which represents a hyperbola. For x^2 - y < 0, we graph the curve of the equation x^2 - y = 0, which represents a parabola opening upwards.
Next, we need to determine which regions satisfy the given inequalities. For x^2 - y^2 > 7, the shaded region lies outside the hyperbola. For x^2 - y < 0, the shaded region lies below the parabola.
By combining the shaded regions of both inequalities, we find the solution set of the system of inequalities. It includes the regions outside the hyperbola and below the parabola. We label the corners of the shaded region to indicate the solution set accurately.
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1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.
Answers
Answer:
v=d/t
v=340km/85km/h
v=4 km
I hope this helps you
You want to purchase a Christmas tree, normally priced at $364. 0. It is on sale for $72. 80. What percent of a discount are you getting? List your answer as a whole number
Answers
Answer:
20% off
Step-by-step explanation:
Divide:
72.8/364
Answer:
.20
Convert:
.20=20%
The shopkeeper giving 80% discount on the Christmas tree during the sale.
What is discount?A discount is an amount that is subtracted from the regular price of an item.
What is discount percent formula?\(discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100\)
According to the given question.
The marked price of the Christmas tree i.e. original price = $364.
The price of the Christmas tree on sale i.e. final price = $72.80
So,
The discount given on the Christmas tree
= Original price - final price
= $364 - $72.80
= 291.2
Therefore,
Discount percent = \(\frac{291.2}{364} (100)= 80 \ percent\)
Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.
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URGENT
Find the length of side x in simplest radical form with a rational denominator.
Answers
value of side x in the triangle is 6 ( simplest radical form with a rational denominator is 6/1).
Define right triangleA right triangle is a triangle that has one angle measuring 90 degrees, which is also called a right angle. The hypotenuse is the side that faces the right angle, while the legs are the other two sides.
Define trigonomteric functionTrigonometric functions are a set of mathematical functions used to relate the angles and sides of a right triangle. Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six fundamental trigonometric functions (cot).
In the given right angles triangle
Using trigonomteric function
Tan30°=√12/x
1/√3=√12/x
x=√12×√3
x=√36
x=6
Hence, value of side x in the triangle is 6.
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Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100
Answers
The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.
What is percentage increase?Percentage increase is the amount added to the initial value of a product in the percentage part.
The percentage increase over a year can be found out using the compound interest formula,
\(A=P(1+\dfrac{r}{100})^n\)
Here, (A) is the final amount (P) is the principal amount, (r) is the rate and n is the time period.
Aria paid $75,000 for her house. its property value increased by 2.2% per year. The time period is 11 years. Put these values in the above formula as,
\(A=75000(1+\dfrac{2.2}{100})^{11}\\A=95284.3\)
To the nearest, a hundred dollars,
\(A=95300\)
The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.
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Answer: incase you're still confused, the answer is $95,300. Hope this helps <3
Which of the following sets of numbers could represent the three sides of a triangle?
Answers
Answer:
option A is the answer.
Because the sum of two smaller sides of a traingle should be larger then third side. This condition is only fulfilled in option A.
15+25= 40 which is more then 38.
while in other options it's either equal or smaller then third side.
you are a sales prep and you make 5% commison on all sales. you typicllay have $ 100,000 in sales each month. you have a retirement plant that takes 8% of your pay and you recieve 0 paid vaction or sicl days.
Answers
The commission that the sales rep will get monthly is $5000.
How to calculate the commission?From the information, there is a 5% commison on all sales and the person typicllay have $ 100,000 in sales each month.
The commission that will be made each month will be:
= Percentage of commission × Sales
= 5% × $100,000
= 0.05 × $100,000
= $5000
The commission is $5000.
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Complete question
you are a sales prep and you make 5% commison on all sales. you typicllay have $ 100,000 in sales each month. you have a retirement plant that takes 8% of your pay and you recieve 0 paid vaction or sicl days. What is the. commission each month?
URGENT HELP
*read photo*
Will give brainlessly answer
Answers
Answer:
please anyone answer my latest math questoin on my profile in need urgent help right now
Solve the following system of equations using substitution (Enter your answer as an ordered pair, including the parentheses and comma.)
-3x+6y=12
2y=x+4
Answers
The system of equations has infinite solutions, both equations represent the same line.
How to solve the system of equations?
Here we have the following system of equations:
-3x+6y=12
2y=x+4
And we want to solve this by substitution, first, we can rewrite the first equation as:
-3x + 3*(2y) = 12
Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:
-3x + 3*(x + 4) = 12
Now we can solve this for x.
-3x + 3x + 12 = 12
12 = 12
So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).
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me need help on math plz help
Answers
Answer:
4 ;)
Step-by-step explanation:
78/75=1.04
Answer:
It would be A
explanation:
the reson why it is A because it is closest to 3%
your welcome
To find percent of a number, 1- multiply2- dividethe number by the fraction or decimal equivalent of the1- number2- percent.To find an unknown percent or part, solve a proportion comparing the1- part2- percentto the ratio of1- percent2- partto whole.
Answers
the first is multiply, the second percent
the third is part and the next too
Teresa made pancakes for a fundraiser. The number of plain pancakes she
made is the greatest prime number less than 10. She also made 16 chocolate
chip pancakes. How many total pancakes did Teresa make?
Answers
Answer:
23 total pancakes.
Step-by-step explanation:
Let's start by listing out all the prime numbers from 1-10:
1
2
3
5
7
So the greatest prime number less than 10 is 7. That's your answer for the number of plain pancakes.
Plus Teresa make 16 choc chip pancakes.
So 7 + 16 = 23 total pancakes.
URGENT
Look at △STU on this coordinate grid. Suppose that △S'T'U' is the result of a dilation of △STU with a scale factor of 2. What are the coordinates of point S'? *
Answers
Answer:
(4,2)
Step-by-step explanation:
THIS IS ASSUMING you are scaling it around 0,0
S is 2,1.
(x',y') = (2,1)
You want to find the coords with a scale factor of 2.
(x',y') = 2(2,1)
x',y' = 4,2
(4,2)
Steve is a store manager. He is paid a straight commission of 1.25% on total store sales. Find his commission on monthly store sales of $156,215.
Answers
Answer:
$1,952
Step-by-step explanation:
1.25 * 156,215/100
=1,952
The points (4,16) and (−4,−16) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of a?
Answers
Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values
any more help just ask :)
PLEASE HELP!!!
If X is normally distributed with u = 3.5 and 6 = 0.5, find P(X> 3.1).
A 0.5755
B 0.3133
C 0.5255
D0.7881
Answers
\(\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}\)
C. 0.5255
\(\tiny \pink {ChaEunWoo2009}\)
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If X is normally distributed with u = 3.5 and 6 = 0.5, find P(X> 3.1).
A. 0.5755
B. 0.3133
C. 0.5255D. 0.7881
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Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?
Answers
The z-score is -0.933 and the interpretation is that Andy's score is -0.933 standard deviations away from the mean.
How to determine the z-score?From the question, the given parameters about the distribution are
Mean value of the set of data = 100
Standard deviation value of the set of data = 15
The actual data value = 86
The z-score of the data value is calculated using the following formula
z = (Actual data - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (86 - 100)/15
Evaluate the difference
z = -14/15
Evaluate the quotient
z = -0.933
This means that the score is -0.933 standard deviations away from the mean.
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Complete question
The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.
Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?
Divide 63 ml in the ratio 2:3:4
Answers
Answer:
21ml/2
Step-by-step explanation:
solve for x, show all work
Answers
The value of x for the given right triangle is 2 units.
According to the question,
We have the following information:
We have a right triangle where the measurements of its sides are given and one angle is given.
We can use trigonometric function to find the value of x for this triangle.
So, we have the following expression:
Sin 60 = √3/x
Putting the value of sin 60:
√3/2 = √3/x
Using the cross multiplication method:
√3x = 2√3
Dividing by √3 on both the sides:
x = 2 units
Hence, the value of x for the given right triangle is 2 units.
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find the values of x and y
Answers
Answer:
x = 8 degrees ; y= 12 degrees
Step-by-step explanation:
Denise is using a ladder to clean the outside of her second story windows. The ladder she is using is 24 feet long and she puts the base of the ladder 13 feet away from the house in order to avoid her flower gardens. How high up the side of her house does the ladder reach? Round to the nearest tenth, if necessary.
Answers
The ladder can reach 21.17 feet high up of Denise's house.
Given,
The length of ladder Denise used to clean the outside of her second story windows = 24 feet
The distance between the base of the ladder and house = 13 feet
We have to find the height of the house which the ladder can reach:
For that we can use Pythagorean Theorem.
That is,
Hypotenuse² = Altitude² + Base²
Here,
Hypotenuse is the length of the ladder = 24 feet
Altitude is the height of the house ladder can reach = x
Base is the distance between base of the ladder and house = 13 feet
Therefore,
24² = x² + 13²
576 = x² + 169
x² = 576 - 169
x² = 407
x = \(\sqrt{407}\)
x = 21.17
That is, the ladder can reach 21.17 feet high up of Denise's house
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