Answer:
The three integers are 30, 180, and 540.
Step-by-step explanation:
The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without a remainder. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.
In this case, we are given that the GCD and LCM of three integers are 6 and 1080, respectively. This means that the three integers must have a GCD of 6 and an LCM of 1080.
We are also given that the first two numbers are 60 and 72. The GCD of 60 and 72 is 12, which is not equal to 6. Therefore, these two numbers cannot be the first two integers.
To find the three integers, we need to find two numbers with a GCD of 6 and an LCM of 1080. One possible pair of numbers is 30 and 180, which have a GCD of 6 and an LCM of 180.
The third number must be a multiple of 6 and a factor of 1080. A possible value for the third number is 540, which is a multiple of 6 and a factor of 1080.
The three integers are 30, 180, and 540.
Solve |x-5| + 7 = 15.
Answer:
C. x = 13 or x = -3
Step-by-step explanation:
|x - 5| + 7 = 15
|x - 5| = 8
x - 5 = 8 or x - 5 = -8
x = 13 or x = -3
Answer: C. x = 13 or x = -3
*what is the reward-to-variability (i.e., sharpe) ratio of the best feasible cal? group of answer choices .4221 .4511 .7639 .4315
The reward-to-variability ratio of the best feasible is 0.4221 that is option a.
The proportion of stocks invested in the optimal risky portfolio can be calculated with the use of following formula:
Portfolio Invested in the Stock = [(Expected Return of the Stock - Risk Free Rate)*(Standard Deviation of Bond)^2 - (Expected Return of the Bond - Risk Free Rate)*Covariance between Bond and Stock]/[(Expected Return of the Stock - Risk Free Rate)*(Standard Deviation of Bond)^2 + (Expected Return of the Bond - Risk Free Rate)*(Standard Deviation of Stock)^2 - (Expected Return of Stock - Risk Free Rate + Expected Return of Bond - Risk Free Rate)]*Covariance between Bond and Stock
Portfolio Invested in Bond = 1 - Portfolio Invested in the Stock
Here, Risk Free Rate = 4 and Covariance = 32*24*.1250 = 96
Using these values and other information provided in the question, we get,
Portfolio Invested in the Stock = [(10 - 4)*(24)^2 - (7 - 4)*96]/(10 - 4)*(24)^2 + (7 - 4)*(32)^2 - [(10 - 4 + 7 - 4)]*96 = .5593
Portfolio Invested in Bond = 1-.5593 = .4407
Step 2: Calculate Expected Return and Standard Deviation of the Optimal Risky Portfolio
Expected Return = Portfolio Invested in Stock*Expected Return of Stock Portfolio Invested in Bond*Expected Return of Bond = .5593*10% + .4407*7% = 8.68%
Standard Deviation = [(Portfolio Invested in Stock)^2*(Standard Deviation of Stock)^2 + (Portfolio Invested in Bond)^2*(Standard Deviation of Bond)^2 + 2*(Portfolio Invested in Stock)*(Portfolio Invested in Bond)]^(1/2) = [(.5593)^2*(32)^2 + (.4407)^2*(24)^2 + 2*(.5593)*(.4407)*(96)]^(1/2) = 21.90%
Step 3: Calculate Reward-to-Volatility Ratio
The reward-to-volatility ratio can be calculated with the use of following formula:
Reward-to-Volatility Ratio = (Expected Return of the Portfolio - Risk Free Rate)/Standard Deviation of Portfolio = (8.68 - 4)/21.90 = .4221
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18. Which table represents a non-proportional relationship between x and y? X 1 3 7 15 Y -4 -12 -28 -60 X 1 4 7 10 Y 7. 5 30 52. 5 75 X -17 -5 2 10 Y 93. 5 27. 5 -11 -55 X -5 -1 1 8 Y 11 -1 -7 -28 10 X -5 -1 1 8 Y 7. 5 30 52. 5 75 y 11 - 1 -7 -28
Option D) is the correct answer. This is a non-proportional relationship.
A) -4 / 1 = -4
-12/3 = -4
-28/7 =-4
-60 /15 = -4
In this relationship, the value of y / x is constant. So, this is a proportional relationship.
B) 7.5 /1 =7.5
30/4 = 7.5
52.5/7 = 7.5
75/10 = 7.5
In this relationship, the value of y / x is constant. So, this is a proportional relationship.
C) 93.5 / -17 = -5.5
27.5/ -5 = 5.5
-11 / 2 = -5.5
-55 /10 = -5.5
In this relationship, the value of y / x is constant. So, this is a proportional relationship.
D) 7.5 / 5 =1.5
30 / -1 = -30
52.5 / 1 = 52.5
75/ 8 = 9.375
In this relationship, the value of y / x is not constant. So, this is a non-proportional relationship.
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The correct question is :
Which table represents a non-proportional relationship between x and y? A)X 1 3 7 15 Y -4 -12 -28 -60 B)X 1 4 7 10 Y 7. 5 30 52. 5 75 C)X -17 -5 2 10 Y 93. 5 27. 5 -11 -55 D) X -5 -1 1 8 Y 7. 5 30 52. 5 75
tell me about the relationship between first floor square footage (1stflrsf; column o) and sale price. what is the r-squared?
The Pearson correlation coefficient (r) is used to discover styles in matters while the coefficient of determination (R²) is used to discover the electricity of a model.
R-Squared is a statistical degree of healthy that suggests how a good deal version of a established variable is defined through the unbiased variable(s) in a regression version.Interpretation of R-squared/Adjusted R-squared.
R-squared measures the goodness of healthy of a regression version. Hence, a better R-squared suggests the version is a great healthy even as a decrease R-squared suggests the version isn't an awesome healthy.
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Please help me on this someone.
Ariel is correct, the statement is false and the equation has no solutions.
Is Ariel correct or not?Ariel says that the given linear equation has no solutions, so we need to check that.
The linear equation is:
3y - 12 = 3*(y + 1)
If we expand the right side we will get:
3y - 12 = 3y + 3
Now we can subtract 3y in both sides, then we will get:
3y - 12 - 3y = 3y + 3 - 3y
-12 = 3
That is a false equation, thus there are no values of y such that the equation is true, then we don't have any solutions.
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A three-column table i given. Part A C D
Part 14 28 63
Whole 20 40 B
What i the value of B in the table?
60
75
80
90
B in the table has a proportional value of 90.
What is proportion?A percentage is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province. The population percentage is marked by the letter p, whereas the sample proportion is denoted by the letter p. Thus, p=0.43 if 43% of individuals visiting a business make a purchase before leaving.
Here,
Part 14 28 63
Whole 20 40 B
14/20=63/B
B=63*20/14
B=90
The value of B in the table is 90 by proportion.
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A credit card ha an APR of 28. 53%, and it billing cycle i 31 day long. What i the credit card' periodic interet rate?
By dividing the annual percentage rate (APR) by the number of billing cycles per year, the periodic interest rate = 73.89%
What is periodic interest rate?The periodic interest rate is the interest rate that is applied to your credit card balance on a periodic basis, usually on a monthly or daily basis. It is calculated by dividing the annual percentage rate (APR) by the number of billing cycles in a year.
What is the formula to calculate periodic interest rate?The periodic interest rate would be calculated as follows:
Periodic interest rate = APR / number of billing cycles per year
Periodic interest rate = APR / number of billing cycles per year
Since the billing cycle is 31 days long, there are approximately 12/31 = 0.387096774 billing cycles per year. Therefore, the periodic interest rate would be:
Periodic interest rate = 28.53% / 0.387096774 = 73.89%
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2. What is the x-coordinate of the image of point (2,-5) after reflection in the
line y=x?
The X coordinate of the image is (-5,2)
What is meant by coordinate ?A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).
The coordinates of one point in the coordinate system are included in an ordered pair. An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point.
Given
The coordinates for x and y change when you consider the line y=x. The end product is (-5,2)
Because (-5,2) its reflection means x coordinate will y coordinate and y coordinate will x coordinate so the coordinate be (-5,2)
The complete question is : Find the coordinates of the image of point (2,-5) after a reflection in the line y=x
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A cloed cylindrical tank of diameter 14 m and height 5 m i made from a heet of metal. How much heet of metal will be required?
Answer:
[tex]528m^{2}[/tex]
Step-by-step explanation:
In order to find out how much sheet of metal is required to cover the cylinder, We find the total surface area
So the Formula to find the total surface area is,
[tex]2\pi r^{2} + 2\pi rh[/tex]
But first we need to find the radius with the formula
[tex]r= \frac{d}{2} \\[/tex]
[tex]r= \frac{14}{2} \\r=7[/tex]
Now we can apply the formula for the total surface area of a cylinder
[tex]2[/tex]x[tex]3.14[/tex]x[tex](7)^{2} +[/tex] [tex]2[/tex]x[tex]3.14[/tex]x[tex]7[/tex]x[tex]5[/tex]
[tex]307.72+[/tex][tex]219.8[/tex]
[tex]528m^{2}[/tex]
Hence the sheet of metal required is [tex]528m^{2}[/tex]
Hope it helps you
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a family consumes 4 litres of oil in 16 days how much old will be consumed in 200 days
What are each step of the formula for a area of a trapezoid to find b2.
Answer:
Step-by-step explanation:
Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Find the equation of the line, given the following information:
Passes through (-9,3) and is perpendicular to y =1/2x+6.
Answer:
y = -2x - 15
Step-by-step explanation:
We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.
We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of
m = -2
Using our equation for a line: y = mx+b, our line so far is
(I) y = -2x + b
Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.
x = -9
y = 3
(I) (3) = -2(-9) + b
3 = 18+b
b= -15
Now we have m and b so we can write the equation of our line:
y = -2x - 15
A once thriving company in teaneck had its monthly profits, in thousands of dollars, modeled by the equation? f(t) = t^2 9/ 1t^2 2 where t is in months after june 1st, 2002. estimate the company's profits on june 1st, 2002. estimate the company's profits many years into the future
The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.
The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.
The company’s profit on June 1, 2002 using the equation is when t = 0 months
f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.
The company’s profit on many years into the future using the equation is given by:
Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1
Hence the monthly profit is $1,000.
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quations: Practice
Question 2 of 5
Select the correct answer.
Which value for x makes the sentence true?
2 + 4 = 7
04
044
0-3
O
8
Answer:
there is no X in the eqn❗Step-by-step explanation:
there is no X in the eqn❗how would i answer it
a box has width $m$, where $m$ is a prime number. if the box has height $m 2$, length $m-1$, and a volume of 140, what is $m$?
The width of the box m = 5 units
The width of the box = m units
Where m is a prime number
Height of the box = m+2 units
The length of the box = m -1 units
The volume of the box = 140 cubic units
The volume of the box = Length × width × height
140 = m × (m+2) × (m-1)
140 = (m^2 + 2m )(m-1)
140 = m^3 - m^2 + 2m^2 - 2m
140 = m^3 + m^2 - 2m
m^3 + m^2 - 2m - 140 = 0
We can split the equation by taking the common term outside
(m-5) (m^2 + 6m + 28) = 0
Therefore, one value of m = 5
5 is a prime number
Therefore, the value of m is 5
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यसको वक्र सतहको क्षेत्रफल पत्ता लगाउनुहोस् । The circumference of base of a cylinder is x cm and height is y cm. Find its curved surface area.
Answer:
Step-by-step explanation:
1. A cube with side length 5 centimeters has a density of 3 grams per cubic centimeter.
What is its mass?
Answer: The mass of the cube is 3 grams/cubic centimeter * (5 cubic centimeters) = 15 grams.
Step-by-step explanation:
Melia get paid $40 for mowing her neighbor' lawn. She pend $16 on a bracelet and $7 on lunch. Which equation i written and olved correctly to how how much money (m) Melia ha left?
The equation written is m + 16 + 7 = 40 and the amount of money Melis has left is $17.
As mentioned, assuming the amount of money left be m. Sum of left money and spent money will be equal to earned amount of money. Representing this as equation -
m + 16 + 7 = 40
Performing addition on Left Hand Side of the equation
m + 23 = 40
Rewriting the equation
m = 40 - 23
Performing subtraction on Right Hand Side of the equation
m = 17
Thus, Melia is left with $17 from her earnings.
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Which of the following is the solutionsto | x +11|< 17?
OA. x< 6 and x < -28
OB. x< 6 orx>-28
OC. x<6
OD. x< 6 and x > -28
Answer:
OB
Step-by-step explanation:
|x+11|<17
x+11<17
x<17-11
x<6
-(x+11)<17
-x-11<17
-x<17+11
-x<28\×(-)
x>-28
What is an equation for the line that passes through the points (8,-1) and (5,-1)?
Given:
The line that passes through the points (8,-1) and (5,-1)
To find:
Find the equation.
Explanation:
We know, the equation of the line passes through the two points,
y−y1 =y2 −y1 x2 −x1 (x−x1 ) Here,(x1 ,y1 )=(8,−1) and (x2 ,y2 )=(5,−1) y−(−1)=−1−(−1) 5−8 (x−8) y+1=0 −3 (x−8) y+1=0 y=−1 Julia just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an equation for L, L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit
The bird population on an island is declining at a rate of 2. 2% per year. The population was 3500 in the year 2009. Which answer is the best prediction of the population in the year 2014? responses 2730 2730 3062 3062 3132 3132 3423.
The best prediction of the bird population in the year 2014 is 3132.
Explain the term population decline?The population mean could be determined by dividing the number of values with in given data/population by the sum of any and all values in the data/population.A decrease in the number of people in a population is known as a population drop in humans (sometimes referred to as underpopulation, population reduction, or population collapse).The given data is-
2009 : 3,500 populationRate of decline ; 2.2% per year. 100% - 2.2% = 97.8%Difference of the years;
2014 - 2009 = 5 years
Decline = 3,500 * (0.978)^5
Decline = 3,500 * 0.89473
Decline = 3131.57
Thus, the population of the birds in 2014 will be 3,131.57 ≈ 3,132.
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What is 6 divided by 2 (1+2)
Answer: 9
Step-by-step explanation:
6 / 2 ( 1+2)
We divided first
3 ( 1 +2)
Then we do the 1+2 second because they have ( )
3 (3)
Then we times them and get 9
Help me I don’t know
AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
In the given triangle A is the incenter for triangle PQR.
By observing figure, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
Subtract 3x and add 2 on both sides of equation.
4x - 3x = 9 + 2
x = 11
Now plug in x value in ∠QPA=3(11)+2
=33+2=35 degrees.
Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.
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Identify the measure of angle x please show work Bc I have too
Answer:
79°
Step-by-step explanation:
Angles on a line add to [tex]180^{\circ}[/tex].
[tex]28+x+73=180 \\ \\ 101+x=180 \\ \\ x=79[/tex]
Write an equation of the line that passes through the given points (-6,2) (1,0)
Answer:
Y= (-2/7)x + (2/7)
Step-by-step explanation:
0-2= -2
1-(-6)= 7
-2/7= -2/7. (slope)
y=mx+b
2=( -2/7)(-6)+b
2= 12/7 +b
2/7 =B
so Y= (-2/7) + (2/7)
I also plugged in the answer to make sure it matches up.
At a bakery 5 bagels and 5 breakfast sandwiches cost $30.00 and 8 bagels and 2 breakfast sandwiches cost $24.00.
Create a graph of the scenario, using x to represent the cost of a bagel and y to represent the cost of a breakfast sandwich.
Select two points on each line to graph the lines.
it equals = kwasia
30-24=6
What is the missing number?
Answer:
42
Step-by-step explanation:
You want to know the missing denominator in the equation ...
2/35 = 1/30 +1/x
SolutionSubtract 1/30 from both sides and simplify.
2/35 -1/30 = 1/x
(2·30 -1·35)/(35·30) = 1/x
25/(35·30) = 1/x
1/(7·6) = 1/42 = 1/x
The missing denominator is 42.
PLEASE HELP!!!!!! IT IS URGENT!!!
how to do question no 9 b?
Answer:
4 records sold on Wednesday, 32 records sold on Thursday!
Step-by-step explanation:
To do 9b, you need to set up our own equation!
Let's use W to represent records sold on Wednesday and T to represent records sold on Thursday.
It said 36 total records were sold on Wednesday and Thursday. This can be represented with the following equation ...
W + T = 36
It also tell us that on Thursday (T), 8 times the number of records sold on Wednesday were sold on Thursday. In equation form, this looks like ...
T = 8 × W
Now, let's use all this info to solve!
Let's first solve the equation W + T = 36
But, we need values! We have one! We know what T equals!
Let's plug in T
T = 8 × W
W + ( 8 × W ) = 36
Solve
W + 8W = 36
9W = 36
W = 4
4 records were sold on Wednesday!
Let's plug in W in our T equation to see how many records were sold on Thursday.
T = 8 × W
T = 8 × 4
T = 32
32 records were sold on Thursday!
Wednesday can be represented with HALF A CIRCLE
and Thursday can we represented with FOUR CIRCLES
All of the points in the picture of on the same line (Points are: (5,13) (c,10) (2,4)
A. Find the Slope of the line and explain/show your reasoning.
B. Write an equation for the line.
C. What is the value of c? Explain or show your reasoning
Sorry for weird format wouldve uploaded a picture of it but it wasn't working
The slope of the line is 3, equation of the line is y = 3x-2 and value of c is 4
What is a slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Given that, All the given points are on the same line and the points are: (5,13) (c,10) (2,4)
Finding the slope;
We know slope of a line passing through two points = (y₂-y₁)/(x₂-x₁)
so, considering the points (5,13) and (2,4)
= (4-13)/(2-5) = 3
Therefore, the slope of the line is 3
Finding the equation,
We know the general equation of a line is given by, y = mx+b,
Where m is slope and b is y intercept.
Solving for b, put x = 5, m = 3and y = 13, in the equation
13 = 5x3+c
b = 13-15
b = -2
Therefore, the equation is y = 3x-2
Finding the missing coordinate c,
Since, all the points lies in same line, so slope will be equal in all the points,
Therefore, (10-13)/(c-5) = 3
c-5 = -1
c = 4
Hence, The slope of the line is 3, equation of the line is y = 3x-2 and value of c is 4
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