Answer:
G : C : A = 1 : 12 : 4
Step-by-step explanation:
Alex - A
George - G
Carl - C
A = G+12
C = 3A
A + G + C = 68
G : C : A = ?
A = G+12, ---> G = A - 12
C = 3A
A + G + C = 68 ---> A + A - 12 + 3A = 68 ---> 5A = 80 ---> A = 16
G = A - 12, G = 16 - 12 = 4, G = 4
C = 3A = 3*16 = 48, C = 48
G : C : A = 4 : 48 : 16 = 1 : 12 : 4
Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
Point R is at (−40, −30), a distance of 60 units from point Q
Step-by-step explanation:
Correct option is ,
Point R is at (-40, 30) , a distance of 60 units from Point Q.
hope this answer helps you dear take care!
A $2000 bicycle depreciates at a rate of 10% per year.
Answer:
1180.98
Step-by-step explanation:
$2000*0.9^5
This is because we're just multiplying 2000 by 0.9 five times to reduce it by that amount.
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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what is the probability of having the first head at the k-th trial? what is the name of this random variable?
The probability of having the first head at the k-th trial is 1/2.
The formula for the binomial distribution of probability is shown below. It can be used to determine the likelihood of getting K heads out of N coin tosses.
[nC k]* [pk]* [qn-k]
p= probability of receiving a head and
q= probability of having a tail.
Both p and q are 1/2.
As a result, the equation is [f12n! * f! r! * (n-r)!]
If you obtain exactly r successes, you also get (n - r) failures at the same time.
qn - rpr = P(getting r successes and n - r failures) (since the n trials are independent) Using the product theorem
There is no mention of the challenges from which the results were attained. There are nCr methods for selecting successful trials among r trials. The remaining (n - r) trials should be failures once the r trials that were picked for successes have been chosen. These nCr methods are incompatible. P(obtaining exactly r successes) in each of these nCr methods equals qn - rpr.
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3x+1=7x+8
Solve the equation
Answer:
x=-7/4
3x+1=7x+8
-3x -3x
1= 4x+ 8
-8 -8
-7/4=x
What's the correct answer???
Answer:
The correct answer is D.
Step-by-step explanation:
You got it!
The cost of a compact disc is $18. Mrs. Meridth bought 3 discs and received a 15% discount. If the sales tax is 8.8%, find the total price. Show each step.
Answer:
$49.572
Step-by-step explanation:
Given that :
Cost per disc = $18
Number of disc purchased = 3
Discount received = 15%
Sales tax = 8%
Original cost : cost per dic * number purchased
Original cost = $18 * 3 = $54
Discounted price = (100 - 15)% * $54
Discounted price = $45.9
Sales tax :
(100 + 8)% of $45.9
108% * $45.9
= $49.572
Total price = $49.572
Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
Answer:
wouldn't this be 4,2?
Step-by-step explanation:
i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.
please help me please will give brainliest
Answer:
acute
Step-by-step explanation:
In an equilateral triangle all of the triangles angles equal 60
in an obtuse triangle one of the angles is going to be greater than 90
in a right triangle one of the angles is equal to 90
in an acute triangle all of the angles are less then 90
Let f(x,y) =x2y2−x.(a) Find∇fat (2,1).(b) Find the directional derivative of f at (2,1) in the direction of−i+ 3j.
The gradient of the function f(x, y) = x²y² - xy can be found by taking the partial derivatives with respect to x and y.
(a)The gradient of f at (2, 1) is (-6, 8).
To find the gradient, we take the partial derivative of f with respect to x and y separately.
∂f/∂x = 2xy² - y
∂f/∂y = 2x²y - x
Plugging in the values x = 2 and y = 1, we have:
∂f/∂x = 2(2)(1)² - 1 = 4 - 1 = 3
∂f/∂y = 2(2)²(1) - 2 = 8 - 2 = 6
Therefore, the gradient of f at (2, 1) is (∂f/∂x, ∂f/∂y) = (3, 6).
The directional derivative of f at (2, 1) in the direction of -i + 3j is 18.
To find the directional derivative, we need to compute the dot product between the gradient of f and the unit vector in the given direction.
The unit vector in the direction of -i + 3j is (-1/√10, 3/√10).
Taking the dot product of the gradient (-6, 8) and the unit vector (-1/√10, 3/√10), we get:
(-6, 8) · (-1/√10, 3/√10) = -6(-1/√10) + 8(3/√10) = 6/√10 + 24/√10 = 30/√10 = 18
Therefore, the directional derivative of f at (2, 1) in the direction of -i + 3j is 18.
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The Cavalier can drive for 86.4 km on 6 litres of gas. What is the fuel
economy of this car? (Km per 1L)
Answer:
number of kilometers travelled by cavalier-86.4
he used 6litres for the journey. take number of kilometers divide by number of litres
86.4/6=14.4
Gloria took a survey of high school students to see how many had part-time jobs last summer. The results of the survey are shown in the table. Compare theprobability that a student in the senior class had a part-time job to the probability that a student in the freshman class had a part-time job.
Find the probabilities
\(\begin{gathered} f=\frac{25}{39} \\ s=\frac{11}{42} \end{gathered}\)We can make a easy comparison by finding the percentage of the two
\(f=\frac{25}{39}\times100=25\div39=0.641025641\times100=64.1025641\)\(\begin{gathered} 64.1025641 \\ 1\text{ < 5} \\ 64 \end{gathered}\)The percentage that a freshman has a summer job will be 64%
Now the seniors
\(s=\frac{11}{42}\times100=11\div42=0.261904762\times100=26.1904762\)\(\begin{gathered} 26.1904762 \\ 9\text{ < 5} \\ 26.2 \end{gathered}\)26.2% of the seniors have a summer job.
So, the obvious comparison is that "a senior is less likely to have a job then a freshman" or the second option. Since the percentage that a freshman will have a job is much higher then the percentage a senior will have a job.
A clothes washer used 2.6 kilowatt for 0.9 hour. If electricity costs $0.47 per kilowatt-hour, how much did it cost (in dollars, to the nearest penny) to use the clothes dryer
It would cost approximately $1.10 to use the clothes washer.
To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.
To find the total cost, use the following formula:
Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour
Plug in the given values:
Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour
Total cost = $1.1046
To find the cost to the nearest penny, round the result to two decimal places:
Total cost = $1.10
So, it cost approximately $1.10 to use the clothes washer.
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The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups
Answer:
Step-by-step explanation:
The answer is There are 3 gallons
Simplyfy.
5x^3y^4(6xy^-1)^2
Answer: 180x5y2
Hope this helps!
Answer:
\(180x^5y^2\)
Step-by-step explanation:
\(5x^3y^4(6xy^-^1)^2\\5x^3y^4(6^2x^2y^-^1^(^2^))\\5x^3y^4(36x^2y^-^2)\\180x^5y^2\)
A good hypothesis: (select all that apply)
a. Is testable. b. Thing Contradicts prior hypotheses. c. Includes a null hypothesis. d. Considers current scientific knowledge.
A good hypothesis must be testable and consider the current scientific knowledge. Therefore, the correct options for the given question are (a) Is testable and (d) Considers current scientific knowledge.
n science, a hypothesis is a tentative assumption or prediction that explains or accounts for a set of observations. A hypothesis must be testable by conducting an experiment, conducting a survey, or gathering and analyzing data. Hypotheses that are untestable are considered unfalsifiable and fall outside the realm of scientific inquiry. A good hypothesis must have the following features:It should be clear, specific, and focused on a single problem.It should be testable and should have a defined test or experiment to prove it.It should be related to available knowledge and based on previously established facts.It should be concise and avoid jargon or technical language that might be difficult for others to understand. It should be falsifiable by evidence and must be subjected to empirical testing.
Thus, a good hypothesis is testable, considers current scientific knowledge, and is falsifiable by evidence.
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Which statements are true?
Answer:
x+2y+z+80=360°
Step-by-step explanation:
the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°
Answer:
Option 4 - x+2y+z+80=360degrees is the correct answer.
Step-by-step explanation:
As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.
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What is the length of the hypotenuse in 2 decimal places
The dot plot shows the number of classes per semester that a group of boys and girls have chosen to take in their freshman year of college. Which statements correctly describe the two data sets?
The difference of the means is 1.5.
The difference of the means is 0.5.
The difference of the means is about one-third the mean absolute deviation of either data set.
The difference of the means is 1.
The difference of the means is about one-half the mean absolute deviation of either data set.
The correct statement is the difference of the means is 0.5.
What is Box- plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
Given:
As, from the box plot mean of boys is
= (1 x3 + 2x 7 + 3 x 6+ 4 x 2 + 5 + 6) /20
= 2.7
and, mean absolute deviation of boys
= (1.7 x 3 + 0.7 x 7 + 0.3 x 6 + 1.3 x 2 + 2.3 + 3.3)/ 20
= 1
now, from the box plot mean of girls is
= (1 x 2 + 2 x 4 + 3 x 7+ 4 x 4 + 1 x 5 + 6 x 2) /20
= 3.2
and, mean absolute deviation of girls
= (2.2 x 2+ 1.2 x 4 + 0.2 x 7+ 0.8 x 4 + 1.8 x 1+ 2.8x 2)/ 20
= 1.06
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b) Lilian ersetzt das Gefäß durch ein schmaleres, bei dem eine Seite der Grundfläche nur
halb so lang ist, und führt wieder eine Messung durch.
Zeichne den passenden Graphen und erläutere anhand deiner Zeichnung den Unter
schied zum ersten Versuch
Wie muss ich vorgehen?
Is it possible to draw a triangle with angles 150°, 20° and 20°?
Explain your answer.
Answer:
No, it is not possible.
Step-by-step explanation:
The Triangle Sum Theorem states that all the interior angles of a triangle will always add up to 180°, but 150 + 20 + 20 = 190.
Keanu bought a new laptop computer and paid a
discount price that was 20% less than the $1,000 list
price. He also paid tax on the laptop equal to 6% of the
discount price. What is the total amount Keanu paid
for the laptop computer?
Answer:
$848
20% of 1000 = 200
1000 - 200 = 800
6% of 800 = 48
800 + 48 = 848
sketch the vector −−→ p q in the plane from initial point p ( 2 , − 2 ) to terminal point q ( 3 , − 5 ) , then
the vector pq is drawn from origin to point (1,-3)
To sketch the vector p q in the plane, we start at the initial point p (2, -2) and end at the terminal point q (3, -5).
First, draw a coordinate system with x and y axes. Then plot the point p at (2, -2) and the point q at (3, -5).
Next, draw an arrow from point p to point q. The length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
The vector p q can be represented as the difference between the coordinates of q and p:
p q = (3, -5) - (2, -2) = (1, -3)
So the vector pq is drawn from origin to point (1,-3)
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Find the Z-scores that separatethe middle 81% of the distribution from the area in the tails of the standard normal distribution.(Use a comma to separate answers as needed. Round to two decimal places as needed.)
First we must find the z-scores that define the area under the curve of the normal distribution that is centered in the middle and is equal to the 81% of the total area under the curve. Basically we have:
Since the area is centered at z=0 the two z-scores that we are looking for have the same module i.e. they only differ in their sign. In order to find them we must use a z table.
In a z table you can find the area between negative infinite and a given z. If the z-scores that we are looking for are -Z and Z then in a z table we can find the area under the curve for the intervals (-∞,-Z) and (-∞,Z).
Since the 81% area described before is centered at the mid of the curve we know that the remaining areas at its left and right are equal and their sum is equivalent to the remaining 19% of the total area. These two areas are the ones in the intervals (-∞,Z) and (Z,∞) and are equal to 0.19/2=0.095. So in a z table we just need to find the z-score for which (-∞,z)=0.095 and that z-score will be -Z. So we look for it in the z table:
So as you can see the z-score is -1.31 so we have -Z=-1.31 and Z=1.31.
AnswerThen the answer is:
The Z-scores are -1.31,1.31.
PLLEASEEE HELPPP!!! ILL BRAINLIST.
2) Using Pythagoras’ Theorem, which is the correct statement (A, B or C)
that describes the relationship between the three side lengths in this
triangle? Explain your choice.
A 262 = x2 + 242 B 242 = x2 + 262 C x2 = 242 + 262
Answer:
The answer is most likely C.
Step-by-step explanation:
Using the Pythagoras' Theorem, c^2 = a^2 + b^2
I'm not sure if 242 and 262 were 24^2 and 26^2 respectively but I'm using 24^2 and 26^2 for this answer.
The c^2 is in fact x^2 where x is the hypotenuse.
However, the answer could be A if x has to be whole number. In this case, x^2 + 24^2 = 26^2
x^2 = 26^2 - 24^2 = 100
x = sqrt (100) = 10
HELP!!!!!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
1
Step-by-step explanation:
identify two points on the graph:
1. (0, 4)
2. (-2, 2)
use slope formula: (y² - y¹) / (x² - x¹)
1. (2 - 4) / (-2 - 0) = -2 / -2 = 1
slope = 1
Please help with my math!!!!!
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
How to determine the line equation by knowing its slope and a point
According to analytical geometry, we could know the equation of the line by means of the point-slope equation:
y - y₁ = m · (x - x₁) (1)
Where:
x - Independent variabley - Dependent variable(x₁, y₁) - Known pointm - SlopeIf we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:
y + 3 = -(1/3) · (x + 3)
y + 3 = -x/3 -1
y = -x/3 - 4
Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
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Simplify: (4 – 5) – (13 – 18 + 2).
please & thank you!
Answer:
glad it helps
Step-by-step explanation:
(4-5)- (13-18+2)
(-1)-13+18-2
= 2
GeometryQuestion 5•For what values of the variables must ABCD be a parallelogram?
SOLUTION:
For parallelograms; opposite sides are congruent;
Thus;
\(\begin{gathered} 2y-12=y-2 \\ solving\text{ for y} \\ 2y-y=12-2 \\ y=10 \end{gathered}\)The shorter opposite sides must be equal too, thus;
\(\begin{gathered} 2x+1=y+3 \\ substitute\text{ in y = 10} \\ 2x+1=10+3 \\ 2x+1=13 \\ 2x=12 \\ x=6 \end{gathered}\)Thus, for the figure to be a parallelogram, x = 6 and y = 10
suppose a program uses two classes: airplane and jumbojet . which of these would most likely be the subclass?
A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.
Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.
The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.
Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.
Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.
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