Answer: 92
Step-by-step explanation:
in a order pair (4,9) witch is the y-coordinate?
In order pair (4,9), 9 is the y- coordinate while 4 is the x-coordinate.
The coordinates are the pair of numbers that describe the position of some point in a plane using the horizontal x-axis and the vertical y-axis as the point of reference. The representation of this coordinate is usually done by (x,y) where x represents the point's reference with respect to the x-axis and y represents the point's reference with respect to the y-axis. There are four quadrants in the graph which are named quadrant 1, quadrant 2, quadrant 3, and quadrant 4. In quadrant 1 both the x and y-axis is positive, in quadrant 2 x-axis is negative and the y-axis is positive, in quadrant 3 both the x and y-axis are negative, and in quadrant 4 x-axis is positive while the y-axis is negative.
I hope this answer helps
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Answer:
9
Step-by-step explanation:
Remember that all points have the form, [tex](x,y)[/tex].
Soo in this problem,
[tex]\begin{cases}\text{4 is the x-coordinate}\\\text{9 is the y coordinate}\end{cases}[/tex]
Thus, The y-coordinate is 9!!
In a garden club, 90% i ladie. The number of ladie i 12 more than 3 time the number of gentlemen. How many ladie and how many gentlemen are in the club. (Note et up a a rational equation and olve)
In the garden club there are 18 ladies and 2 gentlemen.
Given, In a garden club, 90% is ladies.
The number of ladies is 12 more than 3 times the number of gentlemen.
Let the total members be, x
the number of ladies be, l and the number of gentlemen be, g
according to the question,
l = 90x/100
l = 9x/10
also, l = 12 + 3g
g = (l - 12)/3
as, l + g = x
9x/10 + (9x/10 - 12)/3 = x
9x/10 + 9x/30 - 4 = x
36x/30 - 4 = x
6x/30 = 4
x = 20
so, ladies be, l = 9x/10 = 18
and gentlemen be, g = 20 - 18 = 2
Hence, in the garden club there are 18 ladies and 2 gentlemen.
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#12 all parts please!!
Answer:
Step-by-step explanation:
a find the interpret the slope and the y-intercept of the graph
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The function has a maximum value of 30 at x = 3.
Given Function:
f(x) = -3+18x+3
here a = -3 , b = 18 , c = 3
a is negative so it has maximum value
x = -b/2a
= -18/2*(-3)
= -18/-6
= 18/6
= 3
f(x) = -3* + 18*3 + 3
= -3*9+54+3
= -27+54+3
= 27+3
= 30
Therefore the function has a maximum value of 30 at x = 3.
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Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to drive 500 mi in a month Find the cost per mileWrite an equation that relates the cost for gasoline and maintenance of a car to the number of miles m the car is driven. Use the equation to find the cost for driving 1200 miles. About how many miles are driven for a cost of $820?
Answer:
C = 0.97m$1164 for 1200 miles845 miles for $820Step-by-step explanation:
Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.
Cost per mileThe cost per mile is found by dividing the cost by the associated number of miles:
$485/(500 mi) = $0.97 /mi
EquationThe equation for the cost will show the cost as the cost per mile multiplied by the number of miles:
C = 0.97m . . . . . where C is cost in dollars for m miles driven
1200 milesThe cost for driving $1200 miles will be ...
C = 0.97(1200) = $1164
The cost of driving 1200 miles is $1164.
$820The number of miles that can be driven for a cost of $820 is ...
820 = 0.97m
m = 820/0.97 = 845.36
About 845 miles are driven for a cost of $820.
PLEASE HELP!!!
The two lines graphed below are parallel. How many solutions are there to the system of equations?
A. Zero
B. Two
C. One
D. Infinitely many
Answer:
Step-by-step explanation:
It would be D.
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.
b) Calculate the area of the red triangle to find the area of the garden. Show your work.
c) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?
a. Using the Pythagorean Theorem, side c = 150 feet
b. Area = 5,400 ft²
c. Applying the converse of the Pythagorean Theorem, the triangle would be a right triangle if the sum of the squares of two sides equals the square of the other side.
What is the Converse of the Pythagorean Theorem?The converse of the Pythagorean theorem states that if the sum of the squares of the two smaller sides of a triangle is equal to the square of the longer side, then the triangle is a right triangle.
a. Apply the Pythagorean theorem:
c = √(a² + b²)
c = ?
a = 90 feet
b = 120 feet
Substitute
c = √(90² + 120²)
c = 150 feet
b. Area = 1/2(a)(b) = 1/2(90)(120)
Area = 1/2(10,800)
Area = 5,400 ft²
c. Using the converse of the Pythagorean Theorem, we can check if the sum of the squares of two sides equals the square of the other side.
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Passes through (-3, -5), slope = -2
Answer:
b. y + 5 = -2(x + 3) or
y = - 2x - 11
Step-by-step explanation:
Point-slope equation:
y - y₁ = m(x - x₁), where m- slope, (x₁, y₁) - the point on the lineGivenm = - 2,x₁ = - 3,y₁ = - 5Substitute these into point-slope equationy - (-5) = -2(x - (-3))y + 5 = -2(x + 3)Convert this to slope-intercept form:
y = - 2x - 6 - 5y = - 2x - 11Correct choice is b.
Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.
1 2 3 4
f(n) 8 12 16 20
Is this an arithmetic sequence?
O No
OYes
The common difference is
Answer:
I believe the answer is Yes because there is a constant arithmetic sequence and I believe the common difference is 4.
help wanted .............................................................
Answer:
I'm pretty sure the answer would be >
Answer: |-8|>-2
Step-by-step explanation:
Because of the lines on both sides of the "-8" you don't pay attention to the "-" sign. That is because this is an absolute value sign. So instead you would read that as 8 ? -2 and which of course 8 is clearly greater
Hope this helps ;)
A share of Southside stock sold for $37. The annual dividend is $1.85. Three years later the stock has increased 17% in value and the dividend has increased 5%.
What is the yield 3 years later? Round to the nearest tenth of a percent.
The price of the share 3 years later, given the increase in value, can be found to be $43.29
How to find the price per share?The value of the Southside stock sold was $ 37 at the current age. Three years later, this value had increased by 17 %.
This means that the price of the share 3 years later would be:
= Share price currently x ( 1 + increase in value)
= 37 x ( 1 + 17 % )
= 37 x 1. 17
= $ 43. 29
The price is $43.29
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Select the correct answer. A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
The expected value of a player's winnings on each roll is equal to: D. $30.00
How to determine expected value of a player's winnings on each roll?In order to determine the expected value of a player's winnings on each roll, we would list all of the outcomes that are associated with rolling a fair six-sided die.
By rolling a fair six-sided die, we would obtain the following outcomes:
Outcomes = 1, 2, 3, 4, 5, and 6.
Generally speaking, there are only two (2) numbers that are multiples of three (3) in a fair six-sided die and these include the following:
Multiples of three (3) = 3 and 6
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 3 × 20 = $60
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 6 × 20 = $120
Total winnings = $60 + $120
Total winnings = $180
Now, we can determine the expected value of a player's winnings on each roll:
Expected value = 1/6 × 180
Expected value = $30.
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Complete Question:
A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
A. $3.33
B. $6.66
C. $8.50
D. $30.00
E. $40.00
Lines AB and CD (if shown) are straight lines. Find x .
Answer:
x = 20
Step-by-step explanation:
We know that a straight line is 180 degrees. We also know that the line A and B is a supplementary angle.
We subtract 180 - 110 which will come out to 70 which is the value of angle B
We know that angles D and E are 90 degrees and since D and C is 180 degrees, that means C and E is equal to 90 degrees as well.
Since B is equal to 70 degrees, we subtract 90 - 70 to get 20 degrees which is the value of x
a parameter represents: an unbiased estimator of the population mean. fixed characteristics of a population. certain characteristics of a random sample. fixed characteristics of a nonprobability sample. the geographical boundary of a population.
Parameter are values that represents fixed characteristics of a population.
What is a parameter?
The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean. The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.
Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.
Hence, a parameter represents fixed characteristics of a population.
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a pollster decides to poll every 10th person that comes out of a store. this alternative to random sampling is called
The alternative to random sampling is called as systematic sampling which is accepted by a pollster to poll every 10th person that comes out of a store.
Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).
This method will provide you with a representative sample that can be used to make generalizations about the population if the order of the population is random or random-appearing (for example, alphabetical).
Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out.
Similar to basic random sampling, systematic sampling can be used with a list of the complete population. Contrary to basic random sampling, one can still utilize this technique if you don't have access to a list of the population beforehand.
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Solve the inequality statement:
2v+1> 7
v > 3
v > 4
v < 3
v < 4
Answer:
v>3
Step-by-step explanation:
2v>7-1
2v>6
v>6/2
v>3
how do i solve 1) −10+ r = 3+r-7
Answer: No Solution
Explanation: 10 + r = 3 + r - 7
Combine like terms: 10 + r = -4 + r
Subtract R to both sides: 10 = 4
There is NO SOLUTION
What is the effect on the graph of y = 2x + 2
when it is changed to y = 2x-2?
Answer:
shifted down 4 units
Step-by-step explanation:
You want to know the effect on the graph of changing y=2x+2 to y=2x-2.
Y-interceptThe constant in the equation y=2x+2 is the y-intercept. The line described by this equation crosses the y-axis at y=2.
When the equation is changed to y=2x-2, the y-intercept changes from +2 to -2, a shift down of 4 units. The shifted line has the same slope as the original, so is parallel to it.
The effect on the graph is to move it down 4 units.
HELP
At a Junk Yard a study was conducted using 48 cars and found that the average mileage on a car before it was junked was 164,000 and the population standard deviation is known to be approximately 28,000. Construct a 99% confidence interval of what the actual average mileage is for a car before it is junked.
A 99% confidence interval of what the actual average mileage is for a car before it is junked is; (153589, 174411)
How to find the confidence Interval?The formula for confidence interval is;
CI = x' ± z(s/√n)
where;
x' is sample mean
s is standard deviation
n is sample size
z is critical value at confidence level
We are given;
x' = 164000
n = 48
s = 28000
CL = 99%
z-score at confidence level of 99% is 2.576
Thus;
CI = 164000 ± 2.576(28000/√48)
CI = 164000 ± 10410.78
CI = (164000 - 10410.78), (164000 + 10410.78)
CI = (153589, 174411)
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2.
11. If N =
m
x + q
m = 9 and x = 2.
find the value of q when N = 1 4/5
41/5
Step-by-step explanation:
14/5=9+2+q
14/5=11+q
14=55+5q
14-55=5q
-41=5q
q=-41/5
What’s the answer plss someone help
The value of x in the given figure is x = 22.56 m .
In the question ,
a figure is given where the measure of angle(C) = 70° and angle(A) = 30°
In the triangle ABC ,
By Angle Sum Property Of Triangle
angleA + angleB + angleC = 180°
30° + angleB + 70° = 180°
angleB = 180° - 100°
angle(B) = 80°
By using Sine Law ,
a/Sin(A) = x/Sin(C)
From the figure ,
a = 12 m
we get ,
12/Sin(30°) = x/Sin(70°)
x = (Sin70° × 12)/Sin(30°)
x = 11.2763/0.5
x = 22.5526
x ≈ 22.56 m
Therefore , The value of x in the given figure is x = 22.56 m .
The given question is incomplete , the complete question is
Find the value of x in the given figure ?
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XY
Y
a. (1, 1) and (7,5)
The slope of the line that passes through (1, 1) and (7, 5) is 2/3
How to calculate the slope of the line?From the question, the points are given as
a. (1, 1) and (7,5)
Rewrite the above points properly
So, we have the following ordered pairs
(1, 1) and (7,5)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 1) and (7,5)
Substitute the known values in the above equation
So, we have the following equation
Slope = (5 - 1)/(7 - 1)
Evaluate
Slope = 2/3
Hence, the slope of the line is 2/3
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Possible question
Find the slope of the line that passes through a. (1, 1) and (7,5)
help meeeeeeeeeeeeeeeeee please
Answer: 81
Step-by-step explanation:
[tex]v=\sqrt{2gh}\\\\g=32, v=72\\\\\implies 72=\sqrt{2(32)h}\\\\5184=64h\\\\h=81[/tex]
what are the multiples of 7 between 40 and 90
Answer:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160
Step-by-step explanation:
The table shows the linear relationship between the number of pages left to read in a novel and the number of hours a student has already spent reading the novel. Mark each statement as true or false. If false, rewrite the statement correctly.
The student reads at a rate of 48 pages per hour.
By using the rate of change formula for linear equations, we will see that the statement is true.
Is the statement true or false?
Here we have the following statement:
"The student reads at a rate of 48 pages per hour."
Which relates to the linear equation represented on the table.
A general linear equation is written as:
y = a*x + b
Where a is the rate and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the rate is:
rate = (y2 - y1)/(x2 - x1)
Using the first two points (1,644) and (4, 500) we can get the rate:
R = (500 - 644)/(4 - 1) = -48
So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.
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When nineteen is subtracted
from three time a
number "X", the result is 110. Translate and find
the number.
Answer: x=43
Step-by-step explanation:
3x-19=110
3x-19+19=110+19
3x=129
3x/3=129/3
x=43
Joanna saves $55 each month from her part-time job. She saves 1/5 of her earnings. Write and solve an equation determine Joanna’s earnings
If 1/5 of Joanna's monthly savings is $55 the equation of her savings is
x/5 = 55The solution to the equation is $275
How to determine the equation of Joanna's savingsinformation from the question include
Joanna saves $55 each month from her part-time job
She saves 1/5 of her earnings
let x represent the Joanna's earnings
The equation of Joanna savings is represented in the form
1/5 of x = 55
This equation deals with multiplication and the term 'of' as used in math represents multiplication
Hence 1/5 of x = 1 / 5 * x = x/5
x/5 = 55
multiplying both sides by 5
x = 275
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(-3,-5), perpendicular to x +2y=-4
The equation of the line perpendicular to y = - (1 / 2) · x - 2 and that passes through the point (x, y) = (- 3, - 5) is y = 2 · x + 1.
How to determine an equation of the lineIn this problem we must determine the equation of a line perpendicular to another line, provided that the equation of a line and a point of intersection are given. According to analytical geometry, two lines are perpendicular if and only if the product of the two slopes equals - 1.
The equations of the line are defined by functions of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the slope relationship between two perpendicular line:
m · m' = - 1
Where:
m - Slope of the original line.m' - Slope of the perpendicular line.First, derive the equation of the line in slope-intercept form:
x + 2 · y = - 4
2 · y = - x - 4
y = - (1 / 2) · x - 2
Second, calculate the slope of the perpendicular line by the slope relationship:
m' = - 1 / (- 1 / 2)
m' = 2
Third, find the y-intercept of the perpendicular line by the equation of line, the slope and the coordinates of the given point:
b = y - m · x
b = - 5 - 2 · (- 3)
b = - 5 + 6
b = 1
Then, obtain the equation of the line in slope-intercept form:
y = 2 · x + 1
The equation of the line is y = 2 · x + 1.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
The quadratic function is given by
f(x) = [tex]-3(x+2)^2[/tex] + 1
The vertex form of the quadratic function is
f(x) = [tex]a(x-h)^2[/tex] + k
Where (h, k) is the coordinates of the vertex
x = h is the axis of symmetry
Compare the given function and the vertex form of the quadratic function and find the value of the each term
The value of h = -2
The value of k = 1
The coordinates of the vertex = (-2, 1)
The axis of symmetry is at x = h
h = -2
Draw the graph using the details
Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
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What are the correct set of factors for the given equation?
1. 4x² - 11x - 3=0 18
A (2x + 1)(2x − 3)
B (4x + 1)(x − 3)
C (4x − 3)(x + 1)