The ordered pair (0, -3) satisfies the relation 2x + y = -3.
To determine which ordered pair satisfies the relation 2x + y = -3, we can substitute the values of x and y from each option into the equation and check if the equation holds true.
a) (-1, 4):
2(-1) + 4 = -2 + 4 = 2 (not equal to -3)
b) (-2, -1):
2(-2) + (-1) = -4 - 1 = -5 (not equal to -3)
c) (0, -3):
2(0) + (-3) = -3 (equal to -3)
d) (-3, -3):
2(-3) + (-3) = -6 - 3 = -9 (not equal to -3)
Therefore, the ordered pair (0, -3) satisfies the relation 2x + y = -3.
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What is formula to find perimeter of trapezoidal prism?
Answer:
7 duckpin utuyuuuu I have no idea where to watch the video is not a good day at work now and
RQPS is rotated 180° clockwise about the origin.
10
9
8
7
6
5
4
3
R
S
P
123 5678910
Q
What are the coordinates of S"?
OA (-4,-2)
O B. (-4,2)
OC. (-2,-4)
OD. (4,-2)
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Search
C
=
G
=
C
10
Answer:
To rotate a point 180° clockwise about the origin, we need to flip the signs of the x- and y-coordinates.
The original coordinates of point S are (3,4).
Flipping the signs of both coordinates gives us (-3,-4).
However, we also need to move the point to the second quadrant, so we need to flip the sign of the x-coordinate again.
Therefore, the coordinates of S" are (-(-3),-4), which simplifies to (3,-4).
So the answer is (D) (4,-2).
Step-by-step explanation:
Find the missing angle of arc:
W
88°
●
?
X
176° is the measurement of the angle asked.
From the Theorem,
An angle at the circumference of a circle is half the angle at the center subtended by the same arc.
The desired angle will be equal to twice the angle WYX
Thus,
Angle made by the arc = 2 * 88
Angle made by the arc = 176°
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Wayward shoes spends $13 making each pair of its slip-on sneakers. Last week, they sold 95 pairs of these sneakers for $45 each. How much profit did Wayward shoes make last week.
Answer:
$3040 profit made
Step-by-step explanation:
$13×95=$1235 cost to make all the shoes they sold
$45×95=$4275 money she made
$4275-$1235=$3040 profit
The average price of a movie ticket in 1990 was $2.97. Since then, the price has
increased by approximately 2.4% each year. Find the price of a ticket in 2014 using an
exponential function to model the situation. Round your answer to the nearest cent
(hundredth).
Find the midpoint, M of AB A=(-3,-1) B=(-7,-7)
The value of midpoint M of AB is,
⇒ M = (2, - 4)
Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
Coordinates of A and B are,
A = (- 3, - 1)
B = (- 7 - 7)
Hence, By definition of midpoint we get;
M = (- 3 + (- 7))/2, (- 1 + (- 7))/2
M = (4/2, - 8/2)
M = (2, - 4)
Thus, The value of midpoint M of AB is,
⇒ M = (2, - 4)
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if possible please solve on paper so I can better understand thank you
Answer:
Step-by-step explanation:
10 : 25
then simplifies
2:5
How do I solve for x? please explain.
The value of x in the intersecting chords is determined as 5.
What is the value of x?The value of x is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
46 = ¹/₂ ( arc 21x - 5 - arc x + box)
you will need to substitute the value of the box (what is inside the box?), that is the only you can solve it.
Let's say the box = 3
46 = ¹/₂ ( arc 21x - 5 - (arc x + 3)
46 = ¹/₂ (21x - 5 - x - 3)
2(46) = 20x - 8
92 = 20x - 8
20x = 100
x = 100/20
x = 5
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How do I find the critical values and rejection region? and how is it graphed?
The critical value of the given data set is 3.42.
The two-way chi-square analysis is used to determine if there is a relationship between two categorical variables. In this case, the two variables are shiftwork availability and the union-management relationship.
To conduct the analysis, we need to calculate the expected frequencies for each cell in the table. We can do this by multiplying the row and column totals and dividing by the total number of observations.
For the cell in the top left corner (No Shiftwork/Good Relationship):
Expected Frequency = (36 × 33) / 100 = 11.88
We can then calculate the expected frequencies for the other cells in the same way.
Once we have calculated the expected frequencies, we can then calculate the chi-square statistic using the following formula:
Chi-square = Σ [(Observed Frequency - Expected Frequency)² / Expected Frequency]
Using this formula, we can calculate the chi-square statistic for the above example as follows:
Chi-square = (11 - 11.88)²/11.88 + (22 - 21.12)²/21.12 + (25 - 23.12)²/23.12 + (42 - 40.88)²/40.88 = 3.42
Finally, we can compare the chi-square statistic to the critical value of 3.84 at α = 0.05 (df = 1). Since our chi-square statistic is less than the critical value, we can conclude that there is no relationship between shiftwork availability and the union-management relationship.
Therefore, the critical value of the given data set is 3.42.
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Given the formula for the perimeter of a rectangle where I represents the length and w represents the width.
2(l+w)
What does the 2 represent in this formula?
-))
A)
B)
C)
D)
The 2 represents the perimeter.
↓y
The 2 represents the two width pairs.
The 2 represents the two length pairs.
The 2 represents the two sets of length and width pairs.
Eliminate
Ans
The correct answer is (D) "The 2 represents the two sets of length and width pairs."
In the formula for the perimeter of a rectangle, 2(l+w), the 2 represents the fact that the formula is calculating the sum of two pairs of sides: the length and the width. Each pair consists of two sides, so there are two sets of pairs that need to be added together to get the total perimeter.
Therefore, the 2 represents the two sets of length and width pairs.wer:
Britney got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 8 movies
are scheduled to show, 5 of which feature a teenager as the one main protagonist.
If Britney is randomly assigned to clean up after 4 movies, what is the probability that all of them
feature a teenager as the one main protagonist?
Write your answer as a decimal rounded to four decimal places.
The probability of this occurring is around 0.0714.
In order to determine the likelihood that an adolescent would play the lead role in each of Britney's four films, we must take into account both the total number of possible outcomes and the number of favourable possibilities.
There are 8 films scheduled in total.
Five films have had a teenager as the primary character.
Calculating the ratio of the number of favourable outcomes—all four films with teenagers—to the entire number of possible outcomes—any four films—will help us determine the probability.
The combination formula, sometimes referred to as "n choose r," shows how many different methods there are to choose 4 films from the available 8 options:
[tex]C(n, r) = n! / (r! * (n - r)!)[/tex]
In this case, we want to select 4 movies out of the 5 movies featuring a teenager:
[tex]C(5, 4) = 5! / (4! * (5 - 4)!) = 5[/tex]
The total number of ways to select any 4 movies out of the 8 total movies is:
[tex]C(8, 4) = 8! / (4! * (8 - 4)!) = 70[/tex]
Therefore, the likelihood that a teenager will play the lead role in each of the four films that Britney cleans up after is:
Probability is calculated as follows: 5 / 70 (rounded to four decimal places) = 0.0714 (Number of favourable outcomes / Total number of probable outcomes).
Therefore, the chance is around 0.0714.
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10+5³ −1= ?
Evalúa la siguiente expresión.
Answer:
10+5×5×5 -1
10+125 -1
135 -1
= 134
11 over 7=6 over v what is v
Answer:
42/11
Step-by-step explanation:
11/7 = 6/v
cross multiply:
11v = 6x7 = 42.
v = 42/11 ≈ 3.81
partners with businesses to provide loans to
consumers for purchasing goods and services
Consumer lending Partnerships play a crucial role in facilitating economic transactions by bridging the gap between businesses and consumers.
A consumer lending partnership is a collaboration between businesses and financial institutions that aims to provide loans to consumers for purchasing goods and services. This partnership allows businesses to offer their customers convenient financing options, enabling them to make purchases that they might not be able to afford upfront. It benefits both the businesses and consumers by promoting sales and providing access to affordable credit.
In this arrangement, businesses typically partner with banks, credit unions, or other financial institutions that specialize in consumer lending. These lenders evaluate the creditworthiness of consumers and provide loans based on predetermined criteria such as credit scores, income levels, and repayment history. The loans can be structured as personal loans, installment loans, or revolving credit lines, depending on the nature of the purchases and the agreement between the lender and the business.
By partnering with financial institutions, businesses can offer attractive financing options to their customers, which can increase sales and customer loyalty. Consumers benefit from the ability to make purchases and pay them off over time, spreading the cost of expensive items or services into affordable monthly payments. This arrangement expands consumer purchasing power and provides access to necessary or desirable goods and services that may otherwise be out of reach.
In addition to benefiting businesses and consumers, consumer lending partnerships also contribute to the growth of the financial institutions involved. These partnerships create opportunities for lenders to expand their customer base, generate interest income from loan repayments, and establish relationships with businesses in various industries.
Overall, consumer lending partnerships play a crucial role in facilitating economic transactions by bridging the gap between businesses and consumers. They provide a mutually beneficial solution that empowers consumers with access to financing and enables businesses to drive sales and foster customer satisfaction.
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Find an equation for the slope of the graph of y=x²+2x at any point.
Answer:
dy/dx = 2x + 2
Step-by-step explanation:
the slope (gradient) is given by differentiating y = x² + 2x.
dy/dx = 2x + 2
Two lines intersect and create four angles one angle is 70 degrees the angle x and y are both linear angle pairs with 70 degrees the angles x is a vertical angle to 70 degrees find the degrees of the angles x and y and z.
Angle x is 70 degrees, angle y is 110 degrees, and angle z is also 110 degrees.
When two lines intersect, they form four angles known as vertical angles. Given that one angle is 70 degrees, we can determine the degrees of angles x, y, and z.
Vertical angles are congruent, meaning they have the same measure. Thus, angle x is also 70 degrees.
Since angles x and y are linear angle pairs with 70 degrees, their sum is 180 degrees. Therefore, angle y can be calculated as 180 - 70 = 110 degrees.
To find the measure of angle z, we can use the fact that the sum of angles in a straight line is 180 degrees. Angle x and angle z form a straight line, so their sum is 180 degrees. Angle x is 70 degrees, so angle z can be found by subtracting 70 from 180: 180 - 70 = 110 degrees.
In summary, angle x is 70 degrees, angle y is 110 degrees, and angle z is also 110 degrees.
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please help thank you!!
Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.
Determine tanθ using the sum formulaThe identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.
Here, we have θ = 11π/12, so we need to express it as the sum of two angles.
In this problem, we are given θ = 11π/12 and we can use the sum of two angles.
11π/12 = π/6 + 5π/6
putting the value of α = π/6 and β = 5π/6.
The sum formula of the tangent becomes;
tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)
Let's put in the values of α and β:
tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))
The tangent of π/6 and 5π/6 will have values as;
tan(π/6) = √3/3
tan(5π/6) = -√3/3
Let's put in these values into the sum formula;
tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))
tan(11π/12) = 0 / (1 - (-3/9))
= 0 / (1 + 1/3)
= 0 / (4/3)
= 0
Therefore, tan(11π/12) = 0.
Part B;
Using difference formula, the value of cosθ can be expressed using the trigonometric identity
cos(α - β) = cosα * cosβ + sinα * sinβ
Since we are given θ = 11π/12;
Let's express this as the difference of two angles
11π/12 = 3π/4 - π/6
Putting the value α = 3π/4 and β = π/6.
Using the difference formula for cosine;
cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ
Let's plug in the values of α and β
cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)
The known values of cosine and sine for 3π/4 and π/6 are;
cos(3π/4) = -√2/2
cos(π/6) = √3/2
sin(3π/4) = √2/2
sin(π/6) = 1/2
Plugging these values into the difference formula;
cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)
cos(11π/12) = -√6/4 + √2/4
Combining like terms:
cos(11π/12) = (-√6 + √2) / 4
Therefore, cos(11π/12) = (-√6 + √2) / 4.
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good people please help!!!!!!! please!!!!!!
Clearer image, please!
(Scatterplots/Line
of Best Fit) Michael *
is a manufacturing analyst. He records
the number of water bottles produced
by five companies along with their
production costs in the table below.
Create a line of best fit and determine
the number of water bottles that can
be produced at a production cost of
$5,258.
Water Bottles Produced Production Cost
1,200
$885
1,825
$1,402
2,658
$1,868
4,022
$3,048
6,280
$4,582
Approximately 7,173 water bottles
can be produced
Approximately 70,181 water bottles
can be produced
Approximately 3,259 water bottles
can be produced
Approximately 3,854 water bottles
can be produced
7173 water bottles that can be produced at a production cost of $5,258.
To find the slope (m), we can use the formula:
m = (4582 - 885) / (6280 - 1200)
m = 3697 / 5080
m ≈ 0.7274
Now, let's find the y-intercept (b) using the equation:
b = y - mx
b = 885 - 0.7274 x 1200
b = 885 - 872.88
b ≈ 12.12
Therefore, the equation of line is
y = 0.7274x + 12.12
Now, the production cost of $5,258 means put y= 5258
5258 = 0.7274x + 12.12
5239.88 = 0.7274x
x= 7203
Thus, 7173 water bottles that can be produced at a production cost of $5,258.
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What is the surface area of a cylinder with base radius
3
33 and height
8
88?
Either enter an exact answer in terms of
�
πpi or use
3.14
3.143, point, 14 for
�
πpi and enter your answer as a decimal.
Answer:
123.79
Step-by-step explanation:
The formula for the surface area of a cylinder is:
A = 2πr^2 + 2πrh
where r is the radius of the base, h is the height, and π is the constant pi.
Plugging in the given values, we get:
A = 2π(2.22)^2 + 2π(2.22)(6.66)
A = 2π(4.9284) + 2π(14.7912)
A = 30.9748 + 92.8184
A = 123.7932
Rounding to two decimal places, the surface area of the cylinder is approximately 123.79 square units.
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Max has a bowl of 30 grapes of which 60% of which are red grapes
The radius of a circle is 6 meters. What is the area? Give the exact answer in simplest form
Answer:
Step-by-step explanation:
area of circle = pi*r^2
pi * 36 = 36pi = 113.04 which is about 113
Karla bought 3 packages of chicken. The total weight of the chicken in these packages is 7.52 pounds. This table shows the weight of the chicken in two packages
Answer:
Apologies, but it seems that the table you mentioned is missing from your question. Could you please provide the table or the weights of the chicken in each package so that I can assist you further?
Step-by-step explanation:
all formulars for solving Trigonometry
Answer:
These are all of the formulars for solving Trigonometry:
-sin θ = Opposite Side/Hypotenuse
-cos θ = Adjacent Side/Hypotenuse
-tan θ = Opposite Side/Adjacent Side
-sec θ = Hypotenuse/Adjacent Side
-cosec θ = Hypotenuse/Opposite Side
-cot θ = Adjacent Side/Opposite Side
Here is the visual edition below:
Please solve the question
[tex]\frac{f(x)}{g(x)} =\frac{-10x}{x+3\\}\\ (\frac{f}{g} )(2)=\frac{-10(2)}{2+3}\\ \\\frac{-20}{5} =-4[/tex]
Answer is -4
the radius of a circle is 10 feet. what is the circumference Give the exact answer in simplest form
Answer: 62.83
Step-by-step explanation:
The formula for the circumference of a circle is C = 2 π r
So, let’s set up our equation.
2 •π •10 (your radius is 10!)
Now just multiply it together.
2 • π • 10 = 62.83 ft^squared
Hopefully this is what you were looking for. :)
The cone is exactly half full of water by volume.how deep is the water in the cone
The volume of a cone is given by the formula V = (1/3)πr²h, where "V" is the volume of the cone, "r" is the radius of the base, and "h" is the height of the cone.
If the cone is exactly half full of water by volume, then the volume of water is equal to half the volume of the cone. Let's call this volume "Vw".
So, Vw = (1/2) V
Substituting the formula for the volume of a cone, we get:
(1/3)πr²h(water) = (1/2) (1/3)πr²h(cone)
Simplifying, we get:
h(water) = (1/2) h(cone)
Therefore, the depth of the water in the cone is half the height of the cone.
A total of 240 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
The number of adult tickets sold were 80.
Let's denote the number of adult tickets sold as A and the number of student tickets sold as S.
The number of student tickets sold was two times the number of adult tickets sold:
S = 2A
We also know that the total number of tickets sold was 240:
A + S = 240
Substituting the value of S from the first equation into the second equation, we have:
A + 2A = 240
Combining like terms:
3A = 240
Divide both sides of the equation by 3:
A = 80
Therefore, 80 adult tickets were sold.
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Example
8 ft
6 ft
10 ft
15 ft
1. Area of each base:
2. Lateral area:
0:00/2:48
For the given rectangular prism dimensions, the area of each base is obtained by multiplying the length and width.
1. Area of each base:
The area of a rectangular base is calculated by multiplying the length by the width. Therefore:
- The area of the base with dimensions 8 ft by 6 ft is 48 square feet.
- The area of the base with dimensions 10 ft by 15 ft is 150 square feet.
2. Lateral area:
The lateral area of a rectangular prism is the sum of the areas of all its sides, excluding the base areas.
- For the given dimensions, the lateral area would be (8 ft + 6 ft) × 2 + (10 ft + 15 ft) × 2 = 36 ft + 50 ft = 86 square feet.
The lateral area is calculated by adding the perimeter of the bases and multiplying it by the height of the prism, excluding the base areas.
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Termino en la sucesión 28 23 18 13
Hello !
28 23 18 13 8 ...
Para ir de izquierda a derecha, restamos 5 cada vez.