Four friends want to play a game. In how many ways can the friends from teams, if both team dont have name
Answers
The friends can form teams in 6 different ways.
If the four friends want to form two teams, we can count the number of ways they can do this using combinations.
The number of ways to choose two people out of four is given by the combination formula,
C(4,2) = 4! / (2! * (4-2)!) = 6
We can list them as follows, where each team is represented by the letters A and B,
AB | CD
AC | BD
AD | BC
BC | AD
BD | AC
CD | AB
This means that there are 6 different ways the four friends can be split into two teams.
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Related Questions
Find the product.
(1.2) x (0.11)
Answers
Answer:
0.132
Step-by-step explanation:
1.2 * 0.11 = 0.132
Answer:
.132
Step-by-step explanation:
So take away the decimal on both for a second and then multiply then on the answer move the decimal over 3 times there is your answer
an ecology center wants to set up an experimental garden in the shape of a rectangle. the length of the rectangle is 4 yards longer than the width. what are the dimensions of the garden if the enclosed area is 21 square yards. state units.
Answers
Let’s assume that the width of the rectangle is x.
Since the length is 4 yards longer, we can write the length as x + 4.
The area of a rectangle is length * width, and the area is already given to us as 21 square yards.
So length * width = area, meaning x * x + 4 = 21
So x^2 + 4 = 21
= x^2 = 21 - 4
= x^2 = 17
= x = root of 17
= 4.12 yards
We’ve found out that the width is 4.12 yards, so the length must by 4.12 + 4
= 8.12 yards.
So, the dimensions of the garden are 8.12 * 4.12 yards*
*This answer is rounded, so it won’t be exact.
Another, more exact value is root 17 * root 17 + 4
a lawn sprinkler sprays water 7 feet in every direction as it rotates. what is the area of the watered lawn? use 3.14 for π and be sure to put the correct unit of measure.
Answers
If a lawn sprinkler sprays water 7 feet in every direction as it rotates, the area of the watered lawn is approximately 153.94 square feet.
Assuming the sprinkler is placed at the center of the lawn, the area of the watered lawn can be found by calculating the area of a circle with a radius of 7 feet. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.
Plugging in the given value of the radius, we get:
A = π(7 feet)^2
A = 153.94 square feet (rounded to two decimal places)
It's important to include the correct unit of measure, which is square feet in this case, to avoid confusion.
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I lowered the points because people were stealing them.
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Domain ~
\( - 6 \leqslant x \leqslant - 1\)Range ~
\( - 5 \leqslant x \leqslant - 3\)Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as
Answers
A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.
A symmetric distribution occurs when the mean, median, and mode all occur at the same location and the values of the variables occur at regular intervals.The few low scores in a negatively skewed distribution tend to push the mean to the left, thus the mean is typically lower than the median.The mode is consistently less than the mean and median in a positively skewed distribution.A continuous probability distribution having two distinct modes, that is, two separate values with the highest and equal frequencies is referred to as a bimodal distribution.Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.
The given question is incomplete. The complete question is:
"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:
A. Symmetric distribution
B. Negatively skewed distribution
C. Positively skewed distribution
D. Bimodal distribution."
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PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 3 metres.
Work out d (rounded to 2 DP) when F=0.035 Newtons.
Answers
Answer:
1.24 m
Step-by-step explanation:
F ∝ 1/d²
F = k/d²
Use values given to solve for k
0.006 = k/3²
k = 0.054 (I multiplied both sides by 3² in the equation above)
New equation is F= 0.054/d²
Plug in your numbers so 0.035 = 0.054/d²
0.054/0.035 = d²
You can simplify if you want so d² = 54/35
Square root both sides to solve for d
√54/35 = 1.24 m
If the simple interest on $5000 for 4 years is $800, what is the interest rate?
Answers
Answer: I = $ 160,000.00
Step-by-step explanation:
Help!
∆GHI is an isosceles triangle with a vertex angle H.
If the m∠H=80°, then find the m∠I.
Answers
8) A dress normally sells for $35.85. How much does the dress cost after a 15% discount??
Answers
Answer:
$30.47
Step-by-step explanation:
100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps
Work out the equation of the line which passes throught the point (-1,2) and is parallel to the line y=x+4
Answers
Answer:
y = x + 3
Step-by-step explanation:
In point slope form, the equation of line is,
\(y - b = m(x - a)\)
where a and b correspond to the x and y coordinates of the given point and m is the slope
Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1
and putting the values of the point (-1,2), we get,
y - 2 = x - (-1)
y-2 = x + 1
y = x + 3
Help please help now
Answers
Answer:
$3600
Step-by-step explanation:
To find the total budget, you need to divide the amount money for the mortgage payment by the percentage is is of the budget.
21% = 0.21
756/0.21 = 3600
$3600 is the total family budget.
100 points please answer asap!!!!!!!!!!! this is algebra 1
part a: describe two types of transformations that can be used to transform f(x) to g(x).
part b: solve for k in each type of transformation.
part c: write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answers
Answer:
f(x) has slope (10-0)/(10-5) = 10/5 = 2
and intercept y - mx = 0 - 5(2) = -10 so f(x) = 2x - 10
g(x) has slope (10-0)/(2+3) = 2 and intercept y - mx = 10 - 2*2 =6
so g(x) = 2x + 6
So to transform f to g, you move the graph 16 units up.
Step-by-step explanation:
Please help me because I got the answer wrong.
Answers
\(\cfrac{1}{3}x^2~~ = ~~\cfrac{4}{27}\implies \cfrac{x^2}{3}~~ = ~~\cfrac{4}{27}\implies x^2=\cfrac{(3)4}{27}\implies x^2=\cfrac{12}{27} \implies x=\pm\sqrt{\cfrac{12}{27}} \\\\\\ x=\pm\cfrac{\sqrt{12}}{\sqrt{27}} \implies x=\pm\cfrac{\sqrt{2^2\cdot 3}}{\sqrt{3^2\cdot 3}}\implies x=\pm\cfrac{2\sqrt{3}}{3\sqrt{3}}\implies x=\pm\cfrac{2}{3}\)
Groups of twenty to thirty people, composed of representatives
from multiple different subgroups will be able to work more
effectively than a group of six to eight people.
True or false
Answers
The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.
The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:
Communication and coordination:Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.
Efficiency and productivity:Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.
Individual participation:Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.
Group dynamics and cohesion:Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.
While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.
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What if that length cannot be broken equally into ⅜ s? How do we deal with the remainder?
Answers
Point B has coordinates (1,2). The x-coordinate of point A is -7. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
PLEASE HELP!!!
Answers
The possible coordinates of point A is: (-7, -4)
How to find the distance between two coordinates?The formula for the distance between two coordinates is:
D = √[(y₂ - y₁)² + (x₂ - x₁)²]
We are given:
(x₂, y₂) = (1, 2)
(x₁, y₁) = (-7, y₁)
Thus, if AB = 10, then we have:
√[(2 - y₁)² + (-7 - 1)²] = 10
(2 - y₁)² + 64 = 100
(2 - y₁)² = 100 - 64
(2 - y₁)² = 36
(2 - y₁) = √36
2 - y₁ = 6
2 - 6 = y₁
y₁ = -4
Thus, the coordinate of point A is: (-7, -4)
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Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
Answers
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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Dominique is currently in debt and her savings account reads -$215. She decides to deposit $12.50 each month from her
monthly earnings for baby-sitting after school.
Write an expression to find how much money Dominique will have in her savings account after x months.
Answers
The expression to find how much money Dominique will have is 12.5x - 215
How to determine the expression to find how much money Dominique will havefrom the question, we have the following parameters that can be used in our computation:
Initial = -$215.
She decides to deposit $12.50 each month
From the question, we have
Months = x
This means he savings after x months is
Savings = 12.5x
So, the total savings when the debts are deduted is:
12.5x - 215
Hence, the exprssion is 12.5x - 215
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has four congruent sides, exactly two pairs of congruent opposite angles, and its diagonals are perpendicular. it is called by ___
Answers
On solving the provided question, we can say that from given information that - rhombus has four congruent sides, exactly two pairs of congruent opposite angles, and its diagonals are perpendicular
what is rhombus?Rhombuses are quadrilaterals with all four sides being equal in Euclidean plane geometry. Equilateral triangles are rectangles with equal-length sides, also known as equilateral quadrilaterals. By definition, a square is also a rhombus as a rhombus is a quadrilateral with four congruent sides. Greek word rhómbos, which meaning "spinning top," is the source of the English term "rhombus." Its meaning is "bull form," as in the animal's shape. This results in a loud noise and the object attached to the string spinning.
Only two quadrilaterals—the square and rhombus—have four congruent sides among all quadrilaterals. At this point, the square has only right angles, but the rhombus has one opposing pair of obtuse angles. Rhombus is the solution, thus.
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the club sells 144 cans of lemonade what is the least number of bottles of water that must be sold to cover the cost of rending costumes
Answers
Answer:
A total of 142 units of water bottles must be sold to recover the costs of renting costumes.
Step-by-step explanation:
Have a great rest of your day
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LIST three and explain methods of heat energy transfer.
Answers
Answer:
The three methods of heat transfer are conduction, convection, and radiation.
Conduction is heat transfer in solids or through direct contact. Convection is heat transfer through the movement of a liquid or gas. Radiation is heat transfer through thermal emission.
Answer:
Conduction is the transfer of energy from one molecule to the next by direct contact.
Convection is the movement of heat by a fluid such as air or water.
Radiation is the transfer of heat by electromagnetic waves.
Explanation:
Convection is known as the process of transferring energy or heat through a fluid (liquids or gasses) from high temperatures to low temperatures. Convection is known as one of the three types of heat energy transfer. The other two types of heat energy transfer are conduction and radiation. Conduction is known as the transfer of heat between anatomies that are directly touching each other. while, during radiation, the energy is discharged in the shape of electromagnetic waves.
As for the molecular motion in liquids, it is the result of convective heat energy transfer. Furthermore, the movement of the molecules increases as the temperature of the molecules is increasing. The result of this is that the molecules seem to move away from each other. The motion of the molecules is what is responsible for the transfer of heat.
Are these vectors orthogonal?:v = 6i - 3jw = i+2j
Answers
The vectors v = 6i - 3j and w = i + 2j are orthogonal.
To determine if the vectors v and w are orthogonal, we need to find their dot product. If the dot product is 0, the vectors are orthogonal.
Here are the steps to find the dot product of v = 6i - 3j and w = i + 2j,
1. Identify the components of the vectors: v = (6, -3) and w = (1, 2)
2. Multiply the corresponding components of the vectors:
\((6 \times 1) + (-3 \times 2) = 6 - 6 \)
3. Add the products: 6 - 6 = 0 Since the dot product is 0, the vectors v = 6i - 3j and w = i + 2j are orthogonal.
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Correct question is " Are these vectors orthogonal? v = 6i - 3j and w = i+2j"
Use the image to answer the question. A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.
Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4. Find the solution to both equations.(1 point)
The intersection point is ()
Answers
The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
Find the solution to both equations?One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:
x - 5y = 3
x = 5y + 3
Now we can substitute this expression for x into the second equation:
3x - 2y = -4
3(5y + 3) - 2y = -4
15y + 9 - 2y = -4
13y = -13
y = -1
We can now substitute this value for y back into either equation to find the value of x:
x - 5y = 3
x - 5(-1) = 3
x + 5 = 3
x = -2
Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.
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Please help!! Last question!
Answers
Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
There is no flaw in the steps. Hence, the correct option is A.
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if you traveled in space at a speed of 1000 miles per house, how far would you travel in 7.5*10^5 houes
Answers
Traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.
To calculate the distance traveled, we can multiply the speed by the time traveled.
Speed = 1000 miles per hour
Time = 7.5 * 10⁵ hours
Distance = Speed * Time
Distance = 1000 miles/hour * 7.5 * 10⁵ hours
To perform this calculation, we can multiply the numerical values and keep the scientific notation for the result:
Distance = 1000 * 7.5 * 10⁵ miles
Distance = 7.5 * 10⁸ miles
Therefore, traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.
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Select all the correct locations on the figures.
Select two angles, one from each triangle, that must be congruent for the triangles to be congruent by the SAS criterion.
Answers
For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.
For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.
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Answer:
as shown on the screen shot
What is the measure of ∠C?
A.63
B.73
C.83
D.93
Answers
Explanation: (10x+3)+(6x+9)+(5x+21)= 180
Answer is x=7
Plug 7 into x for angle c and you get 73
:)
Which of the following is a secant on the circle below
Answers
Answer:
RT is more appropriate, though even SU could be called a secant.
Step-by-step explanation:
mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship
Answers
The equation that shows the relationship is w = 38m.
Writing an equation to show this relationshipIf Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:
w = km
where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.
We are given that k = 38, so we can substitute this value into the formula to get:
w = 38m
Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.
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Find the area of the shape.
Answers
Answer: 615.75 mm^2
Step-by-step explanation:
\(14^{2} * \pi = 615.75\)
(Note: I rounded the answer)
Answer:
615.44
Step-by-step explanation:
Area of circle is πr^2