Answer: When there are n teams in a league and each team plays every other team twice, then each team will play a total of n-1 games (since they don't play against themselves). Therefore, the total number of games played in the league is the sum of all the games played by each team, which is:
Total number of games = (number of teams) × (number of games played by each team) / 2
The division by 2 is necessary since each game involves two teams, so counting each game twice would result in double counting.
For the given basketball league with 11 teams, the total number of games played would be:
Total number of games = 11 × (11-1) / 2
= 11 × 10 / 2
= 55 × 2
= 110
Therefore, 110 games would be played in the league.
Step-by-step explanation:
Resolve partially
3x+2/(x+1)(x²+x+2)
Answer:
The given expression is:
3x + 2 / (x + 1)(x² + x + 2)
To simplify this expression, we need to factor the denominator first:
x² + x + 2 = (x + 2)(x + 1)
So the expression becomes:
3x + 2 / (x + 1)(x + 2)(x + 1)
Next, we can use partial fraction decomposition to express the expression in terms of simpler fractions. Let's assume:
3x + 2 / (x + 1)(x + 2)(x + 1) = A/(x + 1) + B/(x + 2) + C/(x + 1)²
Multiplying both sides by the common denominator, we get:
3x + 2 = A(x + 2)(x + 1) + B(x + 1)² + C(x + 2)(x + 1)
Expanding the right side, we get:
3x + 2 = Ax² + 3Ax + 2A + Bx² + 2Bx + B + Cx² + 3Cx + 2C
Combining like terms, we get:
3x + 2 = (A + B + C)x² + (3A + 2B + 3C)x + (2A + B + 2C)
Since this equation holds for all values of x, the coefficients of each power of x must be equal on both sides. We can equate the coefficients of x², x, and the constant term to get a system of three equations for A, B, and C:
A + B + C = 0
3A + 2B + 3C = 3
2A + B + 2C = 2
Solving this system, we get:
A = 2/3
B = -1/3
C = -1/3
Substituting these values back into the partial fraction decomposition equation, we get:
3x + 2 / (x + 1)(x² + x + 2) = 2/3/(x + 1) - 1/3/(x + 2) - 1/3/(x + 1)²
Therefore, the simplified expression is:
3x + 2 / (x + 1)(x² + x + 2) = 2/3/(x + 1) - 1/3/(x + 2) - 1/3/(x + 1)²
Calculate the rate of power draining per hour if the capacity of the cell phone is 3 600mAh
Using the figure below, ZFBD is 50%, which is
true regarding ZEBF?
09
C.
D.
A
A. ZEBF = 140°
B.
ZEBF = 90°
ZEBF = 50°
ZEBF = 40°
E
250°
B
F
Answer:
D. ∠EBF = 40°
Step-by-step explanation:
You want the measure of angle EBF in a diagram in which right angle EBD is split by ray BF to form angle FBD = 50°.
Angle addition postulateThe angle addition postulate tells you ...
∠EBD = ∠EBF +∠FBD
90° = ∠EBF +50° . . . . use the given values
40° = ∠EBF . . . . . . . subtract 50°
It must be true that ∠EBF = 40°.
Isabella and her children went into a restaurant and will buy drinks
and tacos. Each drink costs $2.75 and each taco costs $2. Isabella has a
total of $40 to spend on drinks and tacos. Write an inequality that
would represent the possible values for the number of drinks
purchased, d, and the number of tacos purchased, t.
Answer:
2.75d+2t <= 40
Step-by-step explanation:
i may be wrong but I tried
Write the equation of the line that passes through the points ( -2,9 ) and ( 2,6). put your answer in fully simplified point slope form, unless it is a vertical or horizontal line
Answer:
Equation: y= -3/4x+15/2
Step-by-step explanation:
The points given: (-2,9) and (2,6)
Slope ,m=y2-y1/x2-x1=6-9/2-(-2)= -3/(2+2)
slope ,m= -3/4
Equation: y-y1=m(x-x1)
Equation: y-6= -3/4(x-2)
y-6= -3/4x+3/2
y= -3/4x+3/2+6
y= -3/4x+15/2
Learn more about equation of a line
here:
Brainly.com/question/23087740
#SPJ2
What is the GCF in simplify form
So the Greatest Common Factor of The given expressions is -63x²y, 9x³y³, and 90x³y is 9x²y.
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷, etc.) that represents a value or a quantity. Expressions can be simple or complex, and they can involve arithmetic operations, functions, and algebraic operations. Expressions can be evaluated, simplified, or manipulated using mathematical rules and techniques. They are used in many areas of mathematics, including algebra, calculus, and geometry, as well as in other fields such as physics, engineering, and economics.
Here,
To find the greatest common factor (GCF) of the given terms, we need to factor out any common factors of the coefficients and variables.
-63x²y = (-1) × 3² × 7 × x² × y
9x³y³ = 3² × x³ × y³
90x³y = 2 × 3² × 5 × x² × y
The common factors among these terms are 3², x², and y. Therefore, the GCF of the given terms is:
GCF = 3² × x² × y
= 9x²y
To know more about expression,
https://brainly.com/question/1859113
#SPJ1
What's x if 23x = 253
Answer:
11
Step-by-step explanation:
11 x 23 is 253
From his tent, Mario can see a tree 120m away on a bearing of 056°. He can also see a rock that is due east of his tent and due south of the tree.
a) Sketch and label a diagram showing this information.
b) Hence find the distance from the rock to the tree.
The distance from rock to tree is approximate 99.48 m.
What is bearing in navigation?The bearing in navigatiοn refers tο the path between twο pοints, calculated in clοckwise rοtatiοns arοund nοrth. It is frequently emplοyed tο indicate the directiοn οf travel between twο places οr the οrientatiοn οf a landmark with respect tο a ship οr aircraft.
The azimuth, which is the angle between a reference directiοn (οften nοrth) and the directiοn tο an οbject οr pοint, is distinct frοm the bearing.
A. check the attachment given.
B. Let the distance from rock to tree be = H meter
Now, [tex]$ \rm \frac{Sin(056^{\circ})}{1} = \frac{H}{120}[/tex]
H = Sin(056°) × 120
H = 99.48 m
Thus, The distance from rock to tree is 99.48 m.
Learn more about bearing here:
https://brainly.com/question/24115499
#SPJ1
Integers descending order
1.) +8,-4,-6,-2,+3
2.)+10,-11,-13,+8,+9
3.)-15,+5,+8,-11,-10
4.)+6,+9-14,-12,+1
5.)-10,+3,-4,+4,-3
In which quadrant does the terminal ray fall with an angle of rotation of 6 radians?
The angle is in the fourth quadrant.
What do you mean by quadrant?
The coordinate system's two axes (the x-axis and y-axis) constitute a region called a quadrant. The quadrants are the four areas generated when the x- and y-axes cross at a 90-degree angle.
Coordinate values, also known as x- and y-values, are present in both positive and negative directions in these locations.
What is a quadrant circle?
Any one of the four regions is a quadrant when a circle is uniformly divided into two perpendicular parts. In fact, anything that can be divided into four equal halves is said to be made up of quadrants. Hence, a quadrant of a circle is one-fourth of the entire circle.
Learn more about quadrant
brainly.com/question/7196312
#SPJ1
The terminal ray strikes the fourth quadrant at a rotational angle of 6 radians.
What are quadrants?Two-dimensional Cartesian axes separate the plane into four infinite regions known as quadrants, each of which is bordered by two half-axes.
The coordinate system's two axes, the x-axis, and the y-axis constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis, and the y-axis, cross at a 90-degree angle.
These areas include coordinates or positive and negative values of the x- and y-axes.
The terminal ray falls at a rotational angle of 6 radians in the fourth quadrant.
Therefore, the terminal ray strikes the fourth quadrant at a rotational angle of 6 radians.
Know more about quadrants here:
https://brainly.com/question/28587485
#SPJ1
mHJ
measure of arc HJ:
96
29°
1
Answer:
Step-by-step explanation:
To convert the mixed angle measure 96° 29' 1" to decimal degrees, we can use the following formula:
decimal degrees = degrees + (minutes / 60) + (seconds / 3600)
Using this formula, we have:
decimal degrees = 96 + (29 / 60) + (1 / 3600)
decimal degrees = 96.4836111
Therefore, mHJ = 96.4836111 degrees (rounded to seven decimal places).
What is the perimeter of the decks?
The perimeter of the decks is 120 feet
What is perimeter :
Perimeter is a mathematical term that refers to the total distance around the boundary of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape.
Property of circles:The property of circles states that "the tangents drawn from the same point on a circle are equal in length". It means that if two tangent lines are drawn from an external point to a circle, the length of both tangents will be equal.
Here we have
Tangents QR and QV from point Q
Tangents RS and ST from point S
Tangents VU and UT from point U
As we know,
The tangents drawn from the same point on a circle are equal in length
=> Tangent QR = QV --- (1) from point Q
=> Tangent RS = ST ----- (2) from point S
=> Tangent VU = UT ----- (3) from point U
From the figure,
The perimeter of decks = QR + RS + ST + TU + UV + VQ
From (1) (2) and (3)
=> QR + ST + ST + UV + UV + QR
=> 2QR + 2UV + 2RS
From the figure,
=> 2(24 ft) + 2(26 ft) + 2 (36 - 26) [ ∵ ST = US - TU ]
=> 48 ft + 52 ft + 20 ft
=> 120 ft
Therefore,
The perimeter of the decks is 120 feet
Learn more about Perimeter at
https://brainly.com/question/28048920
#SPJ1
(reposting because the one person that helped gotten their comment deleted so i couldnt see answer) PLEASE HELP ASAP WITH THIS
Answer:
64, 69, 88, 88, 91, 92, 93, 95, 97, 97, 100
Median= 92
Mode= 88, 97
Mean= 88.55
Range= 36
Quartile 1= 88
Quartile 2= 92
Quartile 3= 97
Interquartile range= 9
Minimum= 64
Maximum= 100
Not sure if this helped but I hope it did
On a field trip, the ratio of adults to students is 1:8. Which of the following statements about the field trip must be true? (A) A total of 9 people went on the field trip. B. The total number of people on the trip is a multiple of 8. C. There were 7 more students than adults on the field trip. D. There were 8 times as many students as adults on the field trip.
Answer:
B
Step-by-step explanation:
The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).
A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.
C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.
D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8
Jenna's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 36 caffeinated teas and 39 decaffeinated teas. What percentage of the teas served were caffeinated?
According to the solution we have come to find that, 48% of the teas served were caffeinated.
What is percentage?A percentage is a way of expressing a proportion or a fraction as a number out of 100. The symbol used for percentage is the "%" sign. For example, if you have 10 apples and you want to express how many of them are red, you can say that 20% (or 2 out of 10) of the apples are red.
To find the percentage of caffeinated teas served, we need to divide the number of caffeinated teas by the total number of teas served, and then multiply by 100 to get the answer as a percentage.
Total number of teas served = 36 + 39 = 75
Percentage of caffeinated teas served = (36/75) x 100%
= 48%
Therefore, 48% of the teas served were caffeinated.
To learn more about percentage, visit the link:
https://brainly.com/question/24877689
#SPJ9
what are the different types of graphs; i know there’s constant speed, things like that. looking for a quick answer!!
A graph is made up of vertices, or points, and edges, or lines connecting those vertices.
Explain about the graphs and its types?Graphs come in a wide variety of forms in discrete mathematics.
These are a few of them:
A graph with no edges connecting all of its vertices is referred to as a null graph, sometimes known as an empty graph.A graph that has assigned weights, essentially numerical values, to each of its edges is referred to as a weighted graph.A disconnected graph is one in which not every vertex is always connected by the path of the edges.Simple graph: Any undirected graph where there is just one edge, or an edge from one vertex to itself, among each pair of vertices and there are no loops.Know more about the graph
https://brainly.com/question/18254931
#SPJ1
The correct question is-
what are the different types of graph.
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off. Which describes the number of months it will take to pay off the debt? Select three options. x + 15 + 35 = 155 35 x + 15 = 155 35 x = 155 minus 15 It will take 8 months to pay off the debt. It will take 4 months to pay off the debt.
Answer: 3. 35x + 15 = 155
Step-by-step explanation:
35 x 4 = 140
140 + 15 = 155
Did it already but I don’t know if it is right.
Step-by-step explanation:
I'd say the association is linear, based on the first 3 options you chose
maria scored points 92 in 4 games how many points will it be in 17 games
Answer:
The answer to this question is 391 points will be scored in 17 games. to find this answer you divide 94 by 4 to find the total points per single game, then multiply that by 17. in this case is is 92 divided by 4 = 23 then 23 X 17 = 391
In this unit, you learn about linear functions and graphing lines in the coordinate plane. Linear functions are used in businesses, construction, and planning cities. The slope of a line determines its steepness. Why do you think a horizontal line (flat) has zero slopes, but a vertical line (straight up and down) is considered to have no slope. What's the difference between zero slope and no slope?
Answer:
Step-by-step explanation:
In math, slope is used to describe the steepness and direction of lines. ... You can determine the slope of a line from its graph
A car is traveling at a speed of 80 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
answer is
512
Step-by-step explanation:
1.6x80=128
128x4=512
1 1/2 = 2x
what is the answer?
Answer:
3/4
Step-by-step explanation:
A road is inclined at an angle of 4°. After driving 4,813 feet along this road, find the driver's increase in altitude. Round to the nearest foot
Answer:
336 feet
Step-by-step explanation:
You want the change in elevation as a result of driving 4813 feet up a road with a 4° incline.
SineThe sine function relates an angle to the ratio of the opposite side and the hypotenuse in a right triangle:
Sin = Opposite/Hypotenuse
In this application, we have ...
sin(4°) = (elevation change)/(distance along the road)
elevation change = (4813 ft)·sin(4°) ≈ 336 ft
The driver's increase in altitude is about 336 feet.
I need help with my homework
Therefore , the solution of the given problem of function comes out to be y grows by 19/4 units for every unit increase in x.
Describe function.There will be questions on design, mathematics, each subject, and both real expression and imagined locations on the midterm exam. a list of the relationships between different elements that cooperate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Every mailbox also has a specific address, which may be an enclave, a neighborhood.
Here,
The slope of the equation
=> y = 19/4x - 19 is 19/4.
This implies that y grows by 19/4 units for every unit increase in x.
You would need to be familiar with the expression or
graph of the other function in order to compare the rate of change with it.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
What is the distance between the two points?
A. 4 units
B. 5 units
C. 6 units
D. 7 units
Answer:
6 units the answer is C. just see it
HELP ASAP WILL GIVE BRAINLYEST AND 60 POINTS EACH
Answer: Reflection in the y -axis:
Explanation: The rule for a reflection over the y -axis is (x,y)→(−x,y) .\
A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 90 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 m3/min, how fast (in m/min) is the water level rising when the water is 10 cm deep?
Answer:
Let's start by finding the volume of water in the trough as a function of its depth.
At a depth of h cm, the cross-sectional area of the water is an isosceles trapezoid with bases of length b1 = 40 + (h/5) cm and b2 = 90 + (h/2) cm, and height 50 cm. The average width of the trapezoid is (b1 + b2)/2 = 65 + (3h/10) cm. Therefore, the volume of water in the trough at this depth is:
V(h) = 10 m x [(65 + (3h/10)) / 100 cm] x h cm
Simplifying this expression, we get:
V(h) = (13/2000) h^2 m^3
Now, we can use the chain rule to find the rate of change of V with respect to time t, given that dV/dt = 0.1 m^3/min:
dV/dt = (dV/dh) x (dh/dt) = (26/2000) h (dh/dt)
At the moment when the water is 10 cm deep, we have:
h = 10 cm
dV/dt = 0.1 m^3/min
Plugging in these values, we get:
0.1 m^3/min = (26/2000) x 10 cm x (dh/dt)
Solving for dh/dt, we get:
dh/dt = 0.1 m^3/min / (26/2000) / 10 cm
dh/dt ≈ 0.192 m/min
Therefore, the water level is rising at a rate of approximately 0.192 m/min when the water is 10 cm deep.
Find the range of the data below.(Help asappp please)
Which ones would equal to less than 300 square centimeters
The circles having an area less than 300 square centimeters are;
Option A: A circle with a radius of 9. 5 centimeters
Option D: A circle with a diameter of 15 centimeters
How to determine the circlesIt is important to note the formula for calculating the area of a circle is expressed as;
A = πr²
Such that the parameters are;
A is the area of the circle.π takes the constant value of 3.14 or 22/7r is the radius of the circleFrom the information given, we have that;
radius = 9.5 centimeters
Substitute the value
Area = 3.14 × (9. 5)²
Area = 283. 4 cm²
For diameter of 15 centimeters
Radius = 7.5 centimeters
Substitute the values
Area = 3.14 × (7.5)²
Area = 176. 6 cm²
Learn about area at: https://brainly.com/question/22972014
#SPJ1
The design dept is planning a new model of tent in the shape of a triangular pyramid. They intend to make two sizes of the new model
By taking these factors into account, they can create a product that meets the needs of potential customers and is a success in the market. the tent design, size options, materials, features, and pricing when planning the new model of triangular pyramid tents.
What is the design dept is planning a new model ?Triangular Pyramid Tent Design:
The triangular pyramid tent design is a unique shape that could potentially offer better stability against wind and other weather conditions. However, it may also require more complex construction and assembly than a traditional rectangular tent.
The design department should consult with engineers and experienced tentmakers to ensure that the triangular pyramid tent can be manufactured in a cost-effective and user-friendly manner.
Size options:
The design department has decided to make two sizes of the triangular pyramid tent. They should consider the intended use of the tents and the needs of potential customers when determining the size options.
For example, a smaller size might be suitable for backpackers or solo campers, while a larger size could accommodate families or groups.
Therefore, the tent design, size options, materials, features, and pricing when planning the new model of triangular pyramid tents.
Learn more about triangular here:
https://brainly.com/question/30966073
#SPJ9