Since there were 6 teams in a baseball tournament, and each team played against every other team exactly once during the tournament, and a team earned 2 points for a win, 1 point for a tie, and 0 points for a loss, to determine what was the total number of points earned by all 6 teams in the tournament, since a series of results have not been raised, the following table should be made:
Possible outcomes: 5 wins = 5 x 2 = 10 4 wins and 1 a draw = 4 x 2 + 1 = 9 4 wins and 1 loss = 4 x 2 = 8 3 wins and 2 draws = 3 x 2 + 2 x 1 = 8 3 wins, 1 draw and 1 loss = 3 x 2 + 1 = 7 3 wins and 2 losses = 3 x 2 = 6 2 wins and 3 draws = 2 x 2 + 3 x 1 = 7 2 wins, 2 draws and 1 loss = 2 x 2 + 2 x 1 = 6 2 wins, 1 draw and 2 losses = 2 x 2 + 1 = 5 2 wins and 3 losses = 2 x 2 = 4 1 win and 4 draws = 2 x 1 + 4 x 1 = 6 1 win, 3 draws and 1 loss = 2 x 1 + 3 x 1 = 5 1 win, 2 draws and 2 losses = 2 x 1 + 2 x 1 = 4 1 win, 1 draw and 3 losses = 2 x 1 + 1 x 1 = 3 1 win and 4 losses = 2 x 1 = 2 5 draws = 5 x 1 = 5 4 draws and 1 loss = 4 x 1 = 4 3 draws and 2 losses = 3 x 1 = 3 2 draws and 3 losses = 2 x 1 = 2 1 draw and 4 loss = 4 x 1 = 1 5 losses = 0
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Answer:
3rd option
Step-by-step explanation:
Given z is inversely proportional to (y - 2)² then the equation relating them is
z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion
To find k use the condition when y = 5, z = 9 , then
9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )
81 = k
z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion
c) 2 x x 3 x y
Please help
Please help! WILL MARK BRAINLIEST
Answer:
50
Step-by-step explanation:
7th grade math please help me thank you.
Is this positive or negative? ( slopes ) y= -2/3 x - 1
Answer:
positive
Step-by-step explanation:
negative times negative is positive
positive times positive is positive
positive times negative is negative
negative times positive is negative
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[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]
[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]
[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]
[tex]\\ \sf\longmapsto 3x^2-2[/tex]
Answer:
The answer is B
Step-by-step explanation:
3x - 2x^2 + 3 -(-5x^2 + 3x + 5)
3x - 2x^2 + 3 + 5x^2 - 3x - 5
= 3x^2 - 2
If tan(t) ≈ 2.7, and sin(t) ≈ 0.94, find cos(t)
Answer:
cos = 0.89/1.9 = 0.46842105263157895-
Step-by-step explanation:
the value of cos(t) is approximately 0.347.
To find the value of cos(t), we can use the identity:
tan²(t) + 1 = sec²(t)
Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):
sec²(t) = tan²(t) + 1
sec²(t) = 2.7² + 1
sec²(t) = 7.29 + 1
sec²(t) = 8.29
Now, to find sec(t), we take the square root of both sides:
sec(t) = √(8.29)
sec(t) ≈ 2.877
Finally, we can find cos(t) using the reciprocal identity:
cos(t) = 1 / sec(t)
cos(t) ≈ 1 / 2.877
cos(t) ≈ 0.347
So, the value of cos(t) is approximately 0.347.
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Solve: 6 -0.2x = 2 (6 -0.6x)
A. x=0
B. There are infinitely many solutions.
C. x = 6
D. x = 18
6x+(-12x/2)+(-24x/2)
Answer:
-12x
Step-by-step explanation:
6x+(-12x/2)+(-24x/2)
=6x+(-6x)+(-12x)
=6x-6x-12x
=-12x
help me plssssssssssssssss
Answer:
1/2= 5/10
this is answer
A diver descended 21.83 feet in 5.9 minutes. What was the diver's average change in eleration per minute?
Surface area of a triangular prism
Answer:
Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Step-by-step explanation:
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Can someone please help me on this would be appreciated
Answer:
16°Step-by-step explanation:
According to diagram we have:
∠FLH ≅ ∠LMK, corresponding angles∠LMK ≅ ∠GMJ, vertical angles∠IMJ ≅ ∠KMH, vertical angles∠H ≅ ∠IMJ, corresponding anglesNow:
m∠FLH = m∠LMK = m∠GMJm∠GMJ = m∠GMI + m∠IMJ 3x + 6 = 3x - 10 + 2x2x = 6 + 102x = 16x = 8Find the measure of angle H:
m∠H = m∠IMJ = 2x = 2*8 = 16Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).
Answer:
(y+3)=2(x-5)
Step-by-step explanation:
Find an ordered pair (x,y) that is a solution to the equation. 3x-y=8
Answer:
(2,-2)
Step-by-step explanation:
[tex]3x-y =3(2) -(-2)= 6 +2 = 8[/tex]
sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?
Answer:
$243
Step-by-step explanation:
Mackenzi is buying school supplies. She needs to buy 30 writing utensils so that she doesn't run out during the year
but only has $20.90 saved up. If pencils are $0.35 and pens are $0.95 at the school store, how many of each could
she get if she spent all of her savings?
х
Answer the following questions. Round your answers to the nearest whole numbers.
How many pencils can she buy?
How many can she buy?
*Help ASAP please!*
She can buy 16 pens and 16 pencils.
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solve the system of equations using substitution
y= 2x + 4
2x - y =6
A) (2, 8)
B) (2, -8)
C) (10, 24)
D) no solution
Answer is D)
no solution
Solve the system.
y-x=4
x+y=6
Answer:
x=1 y=5
Step-by-step explanation:
y=4+x
x=y=6
x+4+x=6
y=4+x
2x+4=6
y=4+x
2x=2
y=4+x
x=1
y=4+x
y=5
x=1
what is the answer ?????
Answer:
4.8÷40=4.8÷4÷10
=0.12
0.12=12/100
=3/25
Step-by-step explanation:
Part 1.
Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]
Part 2.
[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form
Solve 1.25 x 4 + 3 x 2 divided by (1/2) to the 3rd power
The required solution to the given numerical expressions is 88.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power
According to the given question,
⇒ (1.25 × 4 + 3 × 2) / (1/2)³
Apply the multiplication operation in the terms of the numerator,
⇒ (5 + 6) / (1/2)³
Apply the addition operation in the terms and expand the power of the denominator,
⇒ (11) / (1/8)
Reciprocal the term of denominator,
⇒ (11) × 8
⇒ 88
Therefore, the required solution to the given numerical expressions is 88.
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You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon for the blue car?
Help pls
Brainlist
Determine the value of d when h=29 in the equation D=4h/5
Answer: 23.2
Step-by-step explanation:
D = 4h/5
D(29) = 4(29)/5
D(29) = 23.2
the quotient of y and 8 is greater than 10
Answer:
Well the ineqaulity here would be
y/8 > 10
Or in simpler terms
y ÷ 8 > 10
If you were to solve
y > 80
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
A. b ≤ -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C
Step-by-step explanation:
Help would be well appreciated!!!!!!
A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for students not being able to answer honestly. B. The survey results are most at risk for nonresponse bias. C. The survey results are not at risk for any bias. D. The survey results are most at risk for undercoverage.
The true statement is
The survey results are most at risk for under coverage.
What is Survey?Survey methodology is an area of applied statistics that focuses on human-research surveys. It examines the sampling of discrete groups from a population and related methods for gathering survey data, such as creating questionnaires and techniques for boosting response rates and accuracy.
We have,
A school board is interested in whether high school students would like to shift the school day forward by 30 minutes.
As, It would be biassed to just survey kids who participate in extracurricular activities because they would be excluding the opinions of many other students.
Thus, the survey results are most at risk for under coverage.
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Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.
4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2
Answer:
Graphs shown below.
4.) x-intercept: (3,0) y-intercept: (0,-2) slope: 2/3
5.) x-intercept: none y-intercept: (0,4.5) slope:0
6.) x-intercept: (3,0) and (-1,0) y-intercept: (0,-1) slope: none
#4 is blue graph, #5 is green graph, #6 is red graph
Step-by-step explanation:
** #4 is blue graph, #5 is green graph, #6 is red graph **
Select the correct domain of the function represented by the graph.
A is the correct answer.
How to find extreme values of a function.
Answer:
See below
Step-by-step explanation:
Extreme values of a function are found by taking the first derivative of the function and setting it equal to 0. To determine if it's a minimum or maximum, we set the second derivative equal to 0 and determine if its positive or negative respectively.
Let's do [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] as an example
By using the power rule where [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex], then [tex]f'(x)=12x^3+6x^2-10x[/tex]
Now set [tex]f'(x)=0[/tex] and solve for [tex]x[/tex]:
[tex]0=12x^3+6x^2-10x[/tex]
[tex]0=2x(6x^2+3x-5)[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-3\pm\sqrt{3^2-4(6)(-5)}}{2(6)}[/tex]
[tex]x=\frac{-3\pm\sqrt{9+120}}{12}[/tex]
[tex]x=\frac{-3\pm\sqrt{129}}{12}[/tex]
[tex]x=-\frac{3}{12}\pm\frac{\sqrt{129}}{12}[/tex]
[tex]x=-\frac{1}{4}\pm\frac{\sqrt{129}}{12}[/tex]
[tex]x_1=0,x_2\approx0.6965,x_3=-1.1965[/tex]
By plugging our critical points into [tex]f(x)[/tex], we can see that our extreme values are located at [tex](0,7)[/tex], [tex](0.6965,5.956)[/tex], and [tex](-1.1965,2.565)[/tex].
The second derivative would be [tex]f''(x)=36x^2+12x-10[/tex] and plugging in our critical points will tell us if they are minimums or maximums.
If [tex]f''(x)>0[/tex], it's a minimum, but if [tex]f''(x)<0[/tex], it's a maximum.
Since [tex]f''(0)=-10<0[/tex] then [tex](0,7)[/tex] is a local maximum
Since [tex]f''(0.6965)=15.822>0[/tex], then [tex](0.6965,5.956)[/tex] is a local minimum
Since [tex]f''(-1.1965)=27.18>0[/tex], then [tex](-1.1965,2.565)[/tex] is a global minimum
Therefore, the extreme values of [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] are a global minimum of [tex](-1.1965,2.565)[/tex], a local minimum of [tex](0.6965,5.956)[/tex], and a local maximum of [tex](0,7)[/tex].
Hope this example helped you understand! I've attached a graph to help you visualize the extreme values and where they're located.