Answer:
57 because 6 is 123 and so is 4 so 180 - 123 and you get 57.
Answer:
The measure of angle one is 57.
Step-by-step explanation:
The 2 angles are supplementary, which means that they add up to 180 degrees.
180-123=57
Maximize Z = 120 x1 + 80 x2, S.T. x1 ≤ 40 x2 ≤ 10 20 x1 + 10 x2 < 500 and x1 ≥ 0, x2 ≥ 0. Use the graphical method to solve this model (show detailed work)
the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.
To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:
1. Plot the constraints:
- Plot the line x1 = 40 (vertical line at x1 = 40).
- Plot the line x2 = 10 (horizontal line at x2 = 10).
- Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).
- Shade the feasible region that satisfies all the constraints.
2. Identify the corner points:
- Determine the coordinates of the corner points where the boundary lines intersect.
3. Evaluate the objective function:
- Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.
4. Determine the optimal solution:
- Select the corner point that maximizes the objective function Z.
Here's the graphical representation of the feasible region:
|
40 | C
| /
| /
| /
| /
| /
| / Feasible Region
10 |_____/_________________
0 10 20 30 40 50
0`
The corner points of the feasible region are:
A: (0, 0)
B: (0, 10)
C: (25, 0)
D: (20, 5)
Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:
Z(A) = 120(0) + 80(0) = 0
Z(B) = 120(0) + 80(10) = 800
Z(C) = 120(25) + 80(0) = 3000
Z(D) = 120(20) + 80(5) = 2400
From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).
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describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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I need help with this
Answer:
draw another segment I think. __________
Step-by-step explanation:
The volume of a right cone is 21 pie units?. If its diameter measures 6 units, find its height
The height of the right cone is \(7 \ units\).
To find the height of the right cone, we can use the formula for the volume of a cone:
Volume = \(\frac{1}{3} \times \pi \times r^{2} \times h\)
where \(\pi\) is the mathematical constant pi (approximately \(3.14159\)), r is the radius of the base of the cone, and h is the height of the cone.
Given that the volume is \(21 \ \pi\) units and the diameter is \(6\) units, we can find the radius:
Radius (r) =
\(\frac{diameter}{2} \\= \frac{6}{2} \\= 3\)
Substituting the known values into the formula, we have:
\(21 \pi = \frac{1}{3} \times \pi \times 3^{2} \times h\)
Simplifying the equation:
\(21 = (\frac{1}{3}) \times 9 \times h\)
Multiplying both sides by \(3\):
\(63 = 9h\)
Dividing both sides by \(9\\\):
\(h = \frac{63}{9} \\ = 7 units\)
Therefore, the height of the right cone is \(7 \ units\).
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What is $18 with a 65% discount
Answer:
18 x 65/100 = 11.7
18 - 11.7 = $6.3
Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recognizes that 7 and StartFraction 1 over 7 EndFraction are reciprocals, so she would like to find their product before she multiplies by StartFraction 13 over 29 EndFraction. Which property will allow Renee to do this without changing the value of the expression? associative property commutative property distributive property identity property
Answer:
The correct option is commutative property.
Step-by-step explanation:
The expression that Renee is simplifying is:
\((7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})\)
It is provided that, Renee recognizes that 7 and \(\frac{1}{7}\) are reciprocals, so she would like to find their product before she multiplies by \(\frac{13}{29}\).
The associative property of multiplication states that:
\(a\times b\times c=(a\times b)\times c=a\times (b\times c)\)
The commutative property of multiplication states that:
\(a\times b\times c=a\times c\times b=c\times a\times b\)
The distributive property of multiplication states that:
\(a\cdot (b+c)=a\cdot b+a\cdot c\)
The identity property of multiplication states that:
\(a\times 1=a\\b\times 1=b\)
So, Renee should use the commutative property of multiplication to find the product of 7 and \(\frac{1}{7}\),
\((7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}\)
Thus, the correct option is commutative property.
Answer:
The correct option is commutative property.
Step-by-step explanation:
i took the test and got it right thx to the person ontop of mehn give him credit :p
-4 = -2 + 2x
What is the answer to this
Answer:
x= -1
Step-by-step explanation:
Will mark brainliest for whoever answers. How can I solve this problem?
Answer:
42.5%
Step-by-step explanation:
i dont think the a b and c are multiple choice they are steps to solve the problem
the events in the problem are rebecca approving couch 85% and her roomate approving the couch 50%
a: rebecca approving couch 85%
b: roomate approving the couch 50%
probability rebecca and roommate approves is percentages multiplied.
85% times 50% = 0.85*0.5
=0.425
42.5%
A.y=50+0.15x
B.y=50+0.45x
C.y=150+0.45x
D.y=150+0.15x
Answer:
D
Step-by-step explanation:
you get 150 by taking the product of 50 and 3, this eliminates answers 'a' and 'b'
since the question states the cost per mile driven is $1.50 and 'x' represents miles driven, D is the answer
Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full. How much did Jerry pay in interest? a. $3,120 b. $1,040 c. $2,010 d. $5,760.
The amount Jerry paid in interest is $1,040.
Given to us,
Jerry's principal amount = $ 22,000,
quarterly payment for each quarter = $ 640
Total time for which Jerry paid each quarter = 9 years
As We know that in a year there are 4 quarters,
so, \(\rm 1\ year = 4\ quarters\),
\(\rm 9\ year = 9\times 4\ quarters\),
9 years = 36 quarters,
The total amount paid by Jerry for nine years in each quarter =
quarterly payment for each quarter x no. of quarters for which amount paid
\(\rm Total\ amount\ paid\ by\ Jerry\ for\ nine\ years\ in\ each\ quarter = \$640\times 36 quarters = \$23,040\)
Thus, the total amount paid by Jerry for nine years in each quarter is $23,040.
Therefore,
\(\rm Amount\ Jerry\ pay\ in\ interest = Amount\ Jerry\ paid- Principal\ amount\),
\(\rm Amount\ Jerry\ pay\ in\ interest = \$23,040-\$22,000 = \$1040\)
Hence, the amount Jerry paid in interest is $1,040.
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Write the equation of the line that is parallel to the line y=−74x−2
y
=
−
7
4
x
−
2
through the point (4,-2).
Answer:
The answer is
y = 74x - 298Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line parallel to the equation above we must first find the slope of the above equation
y = - 74x - 2
Comparing with the above formula
Slope = - 74
Since the lines are parallel their slope are also the same
Slope of parallel line = - 74
Equation of the line using point (4 , -2) and slope - 74 is
y + 2 = 74( x - 4)
y + 2 = 74x - 296
y = 74x - 296 - 2
We have the final answer as
y = 74x - 298Hope this helps you
Answer:
y= -7/4x+5
Step-by-step explanation:
I got it correct on founders edtell
20)
A single card is chosen at random from a standard deck of 52 playing cards. Which BEST describes the probability of drawing a king
from the deck?
The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.
The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).
In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.
The total number of possible outcomes is 52 (the total number of cards in the deck).
So, the probability of drawing a king is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 52
Simplifying the fraction gives us:
Probability = 1 / 13
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sketch the vector field f by drawing a diagram like this figure. f(x, y) = yi − xj x2 + y2
The length vector is 1. So the sketch vector field f is given below. So the option a is correct.
In the given question, the vector field F by drawing a diagram like this figure.
The given vector field F is:
F(x, y) = (yi + xj)/√(x^2 + y^2)
We can write the vector field as:
F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)
Here
F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2
F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)
F(x, y) = (y^2+ x^2)/(x^2 + y^2)
F(x, y) = 1
F(0, y) = y/|y| = ±1
F(x, 0) = x/|x| = ±1
So the length vector is 1.
So the sketch vector field f is given below:
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The complete question is:
Sketch the vector field F by drawing a diagram like this figure.
F(x, y) = (yi + xj)/√(x^2 + y^2)
I NEED HELP ALSO LEAVE YALL NUMBER BELOW IF UR 14+
Come on bro you are way too young for that
For each expression, combine like terms and write an equivalent expression with fever terms.
1. 4x + 3x
2. 3x + 5x - 1
3. 5 + 2x + 7 + 4x
4. 4 - 2x + 5x
5. 10x - 5 + 3x - 2
Answer:
1. 7x
2. 8x - 1
3. 6x + 12
4. 3x + 4
5. 13x - 7
Step-by-Step Explanation:
Hope this helps!
Answer:
1. 7x
2. 8x -1
3. 6x+12
4. 3x + 4
5. 13x -7
Step-by-step explanation:
It is given that:
1. 4x + 3x
7x
2. 3x + 5x - 1
8x -1
3. 5 + 2x + 7 + 4x
2x+4x+5+7
6x+12
4. 4 - 2x + 5x
4 + 3x
3x + 4
5. 10x - 5 + 3x - 2
10x + 3x -5 -2
13x - 7
Therefore,
1. 7x
2. 8x -1
3. 6x+12
4. 3x + 4
5. 13x -7
hii i’ll give brainliest please help thanks :)
Answer:
3,6,9
Step-by-step explanation:
123 456 789
Answer:
85
Step-by-step explanation:
hi plz mark brainlist
lan earns 2/3
as much as Jill. His yearly income is $38,000. How much does Jill earn?
Pls answer asap! Worth 15 points!!
Answer:
Jill earns $57,000
Step-by-step explanation:
Mark as Brainliest
X
-1
0
1252
1
2
y
1
10
3
25
2
125
2
What is the rate of change of the function described in
the table?
ㅇ
○ 25
Based on the calculations, the rate of change for the function is equal to 5.
How to calculate the rate of change?Mathematically, the rate of change for the function can be calculated by using this expression;
Rate of change = [½ ÷ ⅒]/[0 - (-1)]
Rate of change = 5/1
Rate of change = 5.
Rate of change = [5/2 ÷ ½]/[1 - 0]
Rate of change = 5/1
Rate of change = 5.
Rate of change = [125/2 ÷ 25/2]/[3 - 2]
Rate of change = 5/1
Rate of change = 5.
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What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
suppose that a simson line goes through the orthocenter of the triangle. show that the pole must be one of the vertices of the triangle
Since P lies on the bisector of angle BAC and on the circumcircle of triangle ABC, it follows that P must be one of the vertices of triangle ABC.
Let ABC be a triangle with orthocenter H, and let l be a Simson line passing through H. Let P be the pole of l with respect to the circumcircle of triangle ABC.
We will show that P must be one of the vertices of triangle ABC.
Consider the circumcircle of triangle ABC. Since l is a Simson line, it intersects the circumcircle at two points X and Y. Let M be the midpoint of segment XY.
Since H lies on l, the foot of the perpendicular from A to BC lies on l. Let D be the foot of the perpendicular from A to BC. Then, AD is a diameter of the circumcircle, and H lies on AD.
Since P is the pole of l, it follows that the polar of H with respect to the circumcircle is l. Therefore, the line HP is perpendicular to XY, and hence HM is the perpendicular bisector of XY.
Since M is the midpoint of XY, it follows that HM passes through the center of the circumcircle. But the center of the circumcircle and the orthocenter H are distinct, so it follows that HM cannot coincide with the line AH.
Therefore, HM must coincide with one of the altitudes of the triangle. Without loss of generality, suppose that HM is the altitude from A. Then, AM is the median of triangle AXY.
Since P is the pole of l, it follows that AP is perpendicular to l. Therefore, AP is perpendicular to XY, and hence AP bisects angle XAY.
But AM is the median of triangle AXY, so it follows that AP is also the angle bisector of angle BAC. Therefore, P lies on the bisector of angle BAC.
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Choose the best selection for thequadrilateral with vertices at thefollowing points:(0,0), (1,3), (5,0), (6,3)Hint: Start by graphing the points.Distance Formula: d= 7(x2 – x1)2 + (y2 - y1)2A. RectangleB. TrapezoidC. RhombusD. Parallelogram
Solution
We have the following coordinates:
(0,0), (1,3), (5,0), (6,3)
We can find the distance between the vertices like this:
\(d=\sqrt[]{(1-0)^2+(3-0)^2}=\sqrt[]{10}\)\(d=\sqrt[]{(5-0)^2+(0-0)^2}=5\)\(d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}\)\(d=\sqrt[]{(5-1)^2+(0-3)^2}=5\)\(d=\sqrt[]{(6-5)^2+(3-0)^2}=\sqrt[]{10}\)\(d=\sqrt[]{(6-0)^2+(3-0)^2}=\sqrt[]{45}\)Then the correct answer for this case is:
D. Parallelogram
11. a $58 video game is on sale for a 14% discount. what is the price with the discount
As given by the question
There are given that the price of the video games is $58.
Now,
According to the question, there are given that 14% discount on their game price
So,
The price with discount is:
\(58\times\frac{14}{100}=8.12\)Then,
\(58-8.12=49.88\)Hence, the price with the discount is $49.88
The vertex is at (-1,-3) move it to (8,10) on the coordinate grid.
Find the critical value Za/2 corresponding to a 99.5% confidence level.
0.0025
2.575
2.81
1.96
Answer:
The correct option is;
2.81
Step-by-step explanation:
The critical value \(Z_{\alpha /2}\), is found from the z score table as follows, where the the confidence level is 99.5
Therefore, we have α = 1 - 99.5/100 = 1 - 0.995 = 0.005
α/2 = 0.0025
The critical value is thus found from the z-score table value of 1 - 0.0025 = 0.9975
From the z-table, we can find the 0.9975 score on the row with z = 2.8 where 0.9975 can be located under the 0.1 column giving the critical value as 2.81
Which mixed number is equivalent to \(\frac{14}{3}\)
Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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What is the area of this polygon in square units
The area of the polygon is 80 units².
What is a Polygon?
A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.
Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.
For triangle, DEF
Area = \(\frac{1}{2} bh\)
= \(\frac{1}{2}\) × 3 × 4
= 6 units²
For triangle BCD
Area = \(\frac{1}{2}bh\)
= \(\frac{1}{2}\) × 2 × 4
= 4 units²
For trapezoid ABFG,
Area = \(\frac{1}{2} (a + b) h\)
= \(\frac{1}{2}\) × (5.5 + 12) × 8
= 70 units²
Hence, total area = 6 + 4 + 70
= 80 units².
Therefore, the total area of the polygon is 80 units².
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16 < −x −6 OR 2x + 5 ≥ 11
Answer:
A. -1; -2; -3; -4; -5.
B. x>1
Assume that you are interested in the drinking habits of students in college. Based on data collected it was found that the relative frequency of a student drinking once a month is given by P(D)-0.60. a. What is the probability that a student does not drink once a month? b. If we randomly select 2 students at a time and record their drinking habits, what is the sample space corresponding to this experiment? What is the probability corresponding to each outcome in part (b)? c. d. Assuming that 5 students are selected at random, what is the probability that at least one person drinks once a month?
(a) The probability that a student does not drink once a month= 0.40
(b) The probability corresponding to each outcome would depend on the given relative probability
(c) You can calculate the value of this expression to find the probability that at least one person drinks once a month.
What is the probability that a student does not drink once a month ?a. The probability that a student does not drink once a month can be calculated as 1 minus the probability that a student drinks once a month, which is given as P(D) = 0.60.
So, P(not D) = 1 - P(D) = 1 - 0.60 = 0.40.
b. If we randomly select 2 students at a time and record their drinking habits, the sample space corresponding to this experiment would consist of all possible combinations of drinking habits for the two students.
Since each student can either drink once a month (D) or not drink once a month (not D), there are four possible outcomes:
Both students drink once a month (D, D)
Both students do not drink once a month (not D, not D)
The first student drinks once a month and the second student does not (D, not D)
The first student does not drink once a month and the second student drinks once a month (not D, D)
The probability corresponding to each outcome would depend on the given relative frequency or probability of a student drinking once a month (P(D)) and the complement of that probability (1 - P(D)).
c. Assuming that 5 students are selected at random, the probability that at least one person drinks once a month can be calculated using the complement rule.
The complement of the event "at least one person drinks once a month" is "none of the 5 students drink once a month" or "all 5 students do not drink once a month".
The probability that one student does not drink once a month is P(not D) = 0.40 (as calculated in part a).
The probability that all 5 students do not drink once a month is \((P(not D))^5\), since the events are assumed to be independent.
So, the probability that at least one person drinks once a month is:
P(at least one person drinks once a month) = 1 - P(none of the 5 students drink once a month)
= 1 - \((P(not D))^5\)
= 1 - \((0.40)^5\) (after substituting the value of P(not D) from part a)
You can calculate the value of this expression to find the probability that at least one person drinks once a month.
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A car travels a distance of 110 miles in a time or 2.8 hours what Is its average speed rounded to 1dp
Answer:
39.3
its simple