Answer:
Step-by-step explanation:
(2 , 1) ; ( 3 , 2)
\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{2-1}{3-2} =\dfrac{1}{1}\\\\=1\)
Equation of line: y = mx +b
y = 1x + b
Plugin x = 2 and y = 1 in the above equation
1 = 2 + b
1- 2 = b
b = -1
y = 1x - 1
2. If the point (13, 10) were reflected using the x-axis as the line of reflection, what would be the coordinates of the image? What about (13,-20)? (13,570)? Explain how you know
When a point is rotated, it must be rotated over a line.
The coordinates of the image is (-13, 10)
The point is given as:
\((x,y) = (13,10)\)
The rule for reflection across the x-axis is:
\((x,y) \to (x,-y)\)
So, we have:
\((13,10) \to (13,-10)\)
Hence, the coordinates of the image is (-13, 10)
None of the options is correct
See attachment for the pre-image and the image
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A triangular prism. The triangular base has a base of 7. 8 centimeters and height of 4 centimeters. The prism has a height of 9 centimeters. What is the volume of the prism? ft3.
140.4 hope its helps!!! :)))
Which fraction is the largest ?
5/6
13/15
4/5
1/2
Answer:
5/6
Not sure
Step-by-step explanation:
Answer:
The answer is 13/15
Step-by-step explanation:
plz mark branliest
Part C
The computer club is purchasing 14 portfolios, 14 binders, 14 school
sweatshirts, 14 music cases, 14 phone cases, and 14 mouse pads. The club
will pay for 40% of the cost. The 14 members are equally responsible for the
rest of the cost. All items are taxable. How much will each member owe?
Let's calculate the total cost of all the items purchased by the computer club:
Cost of 14 portfolios = 14 * $24.59
Cost of 14 binders = 14 * $12.92
Cost of 14 school sweatshirts = 14 * $14.00
Cost of 14 music cases = 14 * $1.25
Cost of 14 phone cases = 14 * $1.99
Cost of 14 mouse pads = 14 * $2.14
Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads
Plugging in the given values:
Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)
Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):
Club's payment = 0.40 * Total cost of all items
The remaining cost will be divided equally among the 14 members:
Remaining cost per member = (Total cost of all items - Club's payment) / 14
Plugging in the values and calculating:
Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))
Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14
So, each member of the computer club will owe the calculated value for "Remaining cost per member".
Hope this is good
I am so confused..please help 0-0
find the radius of convergence, r, of the series. [infinity] (−1)n n5xn 7n n = 1
Therefore, the radius of convergence, r, is 1.
To find the radius of convergence, we can use the ratio test. The series is given by:
\(∑ [n=1 to ∞] ((-1)^n * n^5 * x^n) / (7^n)\)
Applying the ratio test, we evaluate the limit:
\(lim (n→∞) |((-1)^(n+1) * (n+1)^5 * x^(n+1)) / (7^(n+1))| / |((-1)^n * n^5 * x^n) / (7^n)|\)
Simplifying the expression, we have:
\(lim (n→∞) |(-1)^(n+1) * (n+1)^5 * x^(n+1) * 7^n| / |((-1)^n * n^5 * x^n) * 7^(n+1)|\)
Taking the absolute values and canceling common terms, we get:
\(lim (n→∞) |(n+1)^5 * x^(n+1)| / |n^5 * x^n * 7|\)
Next, we can simplify the expression further:
\(lim (n→∞) |(n+1)^5 * x| / |n^5 * x^n * 7|\)
As n approaches infinity, the dominant term in the numerator and denominator is n^5, so we can disregard the other terms:
\(lim (n→∞) |(n+1)^5 * x| / |n^5|\)
The limit can be evaluated as:
\(lim (n→∞) |(1 + 1/n)^5 * x|\)
Since we want the limit to be less than 1 for convergence, we have:
\(|(1 + 1/n)^5 * x| < 1\)
Taking the absolute value, we get:
\((1 + 1/n)^5 * |x| < 1\)
As n approaches infinity, the term \((1 + 1/n)^5\) approaches 1, so we are left with:
|x| < 1
This means that the series converges for values of x within the interval (-1, 1).
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Solve step by step! Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
3x=130
Step-by-step explanation:
To produce at a point lying ______ the production possibilities curve would require economic growth.
To produce at a point lying inside the production possibilities curve would require economic growth.
What is production possibilities curve ?The production possibilities curve can be described as a graph that help to display the different combinations of output which can be gotten from given current resources and technology.
In this case, To produce at a point lying inside the production possibilities curve would require economic growth.
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The time series regression model contains a variable W and a regression equation of y = 200 + W + 2W2 to forecast future values. If W represents a time period, what is the forecast for time period 2 and the forecast error if the actual value for time period 2 is 100? Select the best answer.
forecast value = 210; forecast error is 110
forecast value = 210; forecast error is -110
forecast value = 210; forecast error is 0
forecast value = 100; forecast error is 0
The forecast value for time period 2 is 210, and the forecast error is -110 when the actual value is 100. Option B
To calculate the forecast value for time period 2, we substitute W = 2 into the regression equation:
y = 200 + W + 2W^2
= 200 + 2 + 2(2^2)
= 200 + 2 + 2(4)
= 200 + 2 + 8
= 210
Therefore, the forecast value for time period 2 is 210.
To calculate the forecast error, we compare the forecasted value with the actual value for time period 2. Given that the actual value is 100, the forecast error can be calculated as the difference between the actual value and the forecast value:
Forecast error = Actual value - Forecast value
= 100 - 210
= -110
Hence, the forecast error is -110.
Therefore, the correct answer is:
Forecast value = 210; forecast error is -110. So Option B is correct.
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I have been curious about this question my whole life.
What is 2+2? Is it 22 or 4??
Answer:
4
Step-by-step explanation:
put in a calculator 2 + 2= 4
Answer:
Legally, it's 4
Step-by-step explanation:
2+2 = 4
However! Kim-jun-un as been quoted to say 1+1=1, so by that FALSE logic 2+2=2
If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient is:
a. 1.96
b. .485
c. .95
d. 1.645
To provide a 95% confidence interval for the mean of a population, the confidence coefficient is the value that corresponds to the desired level of confidence in the standard normal distribution.
The correct answer is option a: 1.96. When constructing a confidence interval for the mean, we typically assume that the population follows a normal distribution or use the Central Limit Theorem if the sample size is large. A 95% confidence interval means that we want to be 95% confident that the true population mean falls within the interval. The confidence coefficient is the critical value corresponding to the desired level of confidence. In the case of a 95% confidence interval, we need to find the critical value that leaves 2.5% of the area in each tail of the standard normal distribution.
Using a standard normal distribution table or statistical software, we find that the critical value for a 95% confidence interval is approximately 1.96. This means that we can construct a confidence interval by taking the sample mean and adding/subtracting 1.96 times the standard error.
Therefore, the confidence coefficient for a 95% confidence interval is 1.96. This value is commonly used in practice to determine the range of values within which we can be 95% confident that the true population mean lies.
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If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, find each missing measure. fm=?
If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.
What is the centroid ?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
How do you find the centroid of a triangle with 3 points?Step 1: Identify each vertex's coordinates.
Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.
Step 3: Add together all the y values from the three vertices and divide the result by three.
Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.
the ratio of both segments is 2:1.
where;
am = 44 and dm = 23
the longer segment is double of shorter one:
2*23 = 46.
Therefore,
fm = 46-23
= <<23=23>>23
now finding ce:
= 2*44
= 88, so
ce measures
= 88-44
=44.
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Find the difference quotient of f; that is, find f(x+h)−f(x)/h ,h is not equal to 0, for the following function. Be sure to simplify. f(x)=x^2−6x+5
The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.
To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate
(f(x + h) - f(x)) / h, where h is not equal to 0.
First, let's find f(x + h):
\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)
\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)
\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)
Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:
\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)
= (2hx - 6h + h^2) / h
= 2x - 6 + h
Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.
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Suppose the house odds against a particular horse in the Preakness are 11 to 2.If that horse won the race, how much would a person who placed a $5 bet on that horse win in addition to having the wager returned
A person who placed a $5 bet on a horse with 11 to 2 odds and that horse won the Preakness race would win $27.50 in addition to having their $5 wager returned.
when odds are expressed in a ratio such as 11 to 2, it means that for every 11 chances the horse will lose, there are 2 chances it will win. This can also be expressed as a probability of 2/13 (2 chances out of a total of 13 possible outcomes).
To calculate the potential payout, you simply multiply the amount of the bet by the odds ratio and then add the original bet back in. In this case, $5 multiplied by 11/2 equals $27.50, which is the amount the person would win if the horse they bet on won the race.
understanding odds and how to calculate potential payouts can help individuals make informed bets and potentially win money at horse races and other betting events.
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Cassandra has a loan of $35,720. This loan has a simple interest rate of 4% per year.
What is the amount of interest Cassandra will pay on this loan at the end of two years?
$2,857.60
$38,577.60
$1,428.80
$5,715.20
plz plz plz plz plz plz plz plz plz I need help on it
Given: A ∆ABC such that bisectors of angle ABC and angle ACB meet at a point O.
To prove: angle BOC = 90°+1/2angle A
Proof: Using angle sum property in ∆BOC, we obtain
angle 1+ angle 2 + angle BOC = 180°...(I)
Using angle sum property in∆ABC, we obtain
angle A + angle B + angle C = 180°
or, angle A + 2(angle 1) + 2(angle 2) = 180° [Since BO and CO are the bisectors of angle ABC and angle ACB respectively, then, angle B = 2(angle 1) and angle C = 2(angle 2)]
or, angle A/2 + angle 1 + angle 2 = 90° [Dividing both sides by 2]
or, angle 1 + angle 2 = 90° - angle A/2 ...(ii)
Substituting this value of angle 1 + angle 2 in (i), we get
90°-angle/2+angle BOC = 180°
or, angle BOC = 180°-90°+angle A/2
or, angle BOC = 90° + 1/2 angle A [Proved]
Expand and simplify 4(y - 3) + 2(3x+2y)
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\(4(y - 3) + 2(3x + 2y) = \)
\(4y - 12 + 6x + 4y = \)
\(6x + 4y + 4y - 12 = \)
\(6x + 8y - 12\)
If u wanna in factored form :
\(2(3x + 4y - 6)\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
2/3 of 27 equal 25% of a number
Answer:
The number is 72
Step-by-step explanation:
2/3*27 = 2*9 = 18
so 18 = 25%
25% = 1/4
so 1/4 = 18/?
so ? = 18*4 = 72
Answer:
x=72
Step-by-step explanation:
This is an easy equation.
2/3*27=25/100x
solve.
2/3 * 27 is 18
18=25/100x
Divide. (25/100 can be converted to 1/4
Divide 18 by 1/4x
x=72!
Cheers, I hope you can understand.
a field goal is 3 points and the field goal after a touchdown is only 1 point. in a not-so-recent post-season, adam vinatieri of the indianapolis colts made a total of 21 field goals and extra point kicks for 49 points. find the number of field goals and extra points he made.
Adam Vinatieri made 14 field goals and 7 extra points.
Given that,
a field goal is 3 points and the field goal after a touchdown is only 1 point.
Adam Vinatieri made 21 field goals and extra point kicks for 49 points.
Let x be the number of field goals and y be the extra point kicks.
So we get,
x + y = 21 -------------(1)
3x + y = 49 -----------(2)
Subtracting equation (1) from equation (2),
2x = 28
x = 14
putting the value of x in equation (1),
14 + y = 21
y = 7
Therefore Adam Vinatieri made 14 field goals and 7 extra points.
Field goal means a score of three points in football made by drop kicking or placekicking the ball over the crossbar from ordinary play. A field goal is a successful kick of the ball by a kicker through the goalpost. It is an offensive play that can score three points for a team.
Adam Vinatieri is an American former football placekicker who played in the National Football League.
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1.
emilee saw a bull snake in the zoo. she could see 15 inches of the snake, but two-
fifths of it was behind a log. the log was 2 feet long. how long in inches was the
snake?
If the log was 2 feet long, that is 2 * 12 = 24 inches, so the snake was longer than the log, at a total of 25 inches.
What is an illustration of height?Height is a measurement of vertical extension (how "tall" something or someone is), vertical position, or both (how "high" a point is). For instance, "That building is 50 meters high," or "The height of an airplane while it is in flight is roughly 10,000 meters."
What is the measurement for height?Height is defined in mathematics as the vertical distance separating an object's top from its base. On occasion, it is referred to as "height". In coordinate geometry, an object's height is calculated along the y-axis and is referred to as height. Following are a few mathematical examples of height.
If Emilee could see 15 inches of the snake and two-fifths of the snake was behind the log, then the total length of the snake must be 15 / (1 - 2/5) = 15 / (3/5) = 15 * (5/3) = 25 inches. If the log was 2 feet long, that is 2 * 12 = 24 inches, so the snake was longer than the log, at a total of 25 inches.
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by selling a gas oven for 1035 a shopkeeper gain 15%find it's cost price
Answer:
Step-by-step explanation:
1035-15% of 1035= cost price
=1035-15/100x1035
=1035-155.25
=879.75
the line l in r3 is parameterized by x(t) y(t) 3t 6. find x(t) and y(t) if the line passes through the points (0,1,3) and (8,7,9)
The given parameterization x(t) y(t) 3t 6 is equivalent to the one we found since 3t is the same as z(t) and 6 is the same as the starting value of z(t), which is 3.
To find the parameterization of the line l in r3 that passes through the points (0,1,3) and (8,7,9), we can use the following formula:
x(t) = x1 + (x2 - x1)t
y(t) = y1 + (y2 - y1)t
z(t) = z1 + (z2 - z1)t
where x1, y1, and z1 are the coordinates of the first point and x2, y2, and z2 are the coordinates of the second point.
Using this formula, we have:
x(t) = 0 + (8 - 0)t = 8t
y(t) = 1 + (7 - 1)t = 1 + 6t
z(t) = 3 + (9 - 3)t = 3 + 6t
Therefore, the parameterization of the line l in r3 is:
x(t) = 8t
y(t) = 1 + 6t
z(t) = 3 + 6t
Note that the given parameterization x(t) y(t) 3t 6 is equivalent to the one we found since 3t is the same as z(t) and 6 is the same as the starting value of z(t), which is 3.
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Pls help i will give brainiest
Answer:
red
Step-by-step explanation:
Answer:
red
Step-by-step explanation:
The y-intercept is -2 and the slope is 3/1. so you start on the y-axis at -2 and move up 3 to the right one.
3(x + 1) = -2(x - 1) - 4.
Answer:
this is the answer x=-1
Uno de los dos ángulos suplementarios es diecisiete veces más grande que el otro.
Answer:
Verdadero
Step-by-step explanation:
The teacher is handing out note cards to her students. She gave 2 note cards to the first student, 6 note cards to the second student, 18 note cards to the third student, and 54 note cards to the fourth student. If this pattern continues, how many note cards will the teacher give to the fifth student?
Answer:
162 because if you multiply all of them by 4 you get the answer
The teacher will give 162 note cards to the fifth student.
Students = 1 2 3 4 5
Number of handing = 2 6 18 54 ?
out note cards
It is pattern of series, its ratio with preceding values remains equal.
Here,
First term(a) = 2
common ratio(r) = 3
Nth term = ar^(n-1)
5th term = 2 x 3^(5-1)
= 2 x 3^4
= 162
Thus, the teacher will give 162 note cards to the fifth student.
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Can somebody help me solve this inequality
Answer:
108 cm²
Step-by-step explanation:
The composite shape can be divided as shown into a trapezoid and a triangle. The area of the shape is the sum of the areas of those parts.
__
trapezoidThe top portion of the shape is marked as a trapezoid with bases 12 cm and 6 cm, and height 6 cm. Its area is given by ...
A = 1/2(b1 +b2)h
A = 1/2(12 cm +6 cm)(6 cm) = 1/2(18 cm)(6 cm) = 54 cm²
__
triangleThe bottom portion of the shape is marked as a triangle. The triangle has a base of 12 cm and a height of (15 cm -6 cm) = 9 cm. Its area is ...
A = 1/2bh
A = 1/2(12 cm)(9 cm) = 54 cm²
__
total areaThe area of the composite figure is the sum of the areas of its parts:
total area = trapezoid area + triangle area
total area = 54 cm² +54 cm² = 108 cm²
The area of the logo is 108 cm².
5. A theater wants to take in at least $2000 for the matinee. Children's
tickets cost $5 each and adult tickets cost $10 each. The theater can seat
up to 350 people. Select all the combinations of children and adult tickets
that will make the $2000 goal.
There are several possible answers.
A- (80, 150)
B- (40, 200)
C- (60, 150)
D- (70, 160)
E- (90, 200)
F- (200, 100)
The required number of children and adults for sitting in the theater are 300 and 50 respectively.
Explain linear equation of two variable.A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.
According to question:Let be consider number of children be x and that of adults is y.
We have,
x + y = 350-------(1)
y = 350 - x
And 5x + 10y = 2000------------------(2)
Put value of y in equation (2)
5x + 10( 350 - x) = 2000
5x + 3500 - 10x = 2000
-5x = -1500
x = 300
Then
y = 350 - x = 350 - 300 = 50
Thus, There will be 300 children and 50 adults in the theater .
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Simplify
x(2x + 3) + (x - 3)(x - 4)
Answer:
3x^2-4x+12
Step-by-step explanation:
x(2x+3)+(x-3)(x-4)
2x^2+3x+x^2-3x-4x+12
2x^2+x^2+3x-3x-4x+12
3x^2-4x+12
Answer:
3x² -4x + 12
Step-by-step explanation:
x(2x + 3) + (x - 3)(x - 4)
= 2x² + 3x + x² - 4x -3x + 12
= 3x² -4x + 12
which quadrilateral has diagonals that are always perpendicular bisectors of each other?
A rhombus. Since a rhombus is a parallelogram, its diagonals bisect each other. Its diagonals are also perpendicular.