Connie's team lost 4 out of 16 games this season. To calculate the percentage of games lost, we can divide the number of games lost by the total number of games and then multiply by 100.
In this case, 4 divided by 16 is equal to 0.25, or 25% as a percentage. Therefore, Connie's team lost 25% of their games this season.
We first note that the total number of games played is 16. Connie's team won 12 of these games, so the number of games they lost is 16 - 12 = 4. To calculate the percentage of games lost, we divide the number of games lost by the total number of games and then multiply by 100. This gives:
(4 / 16) * 100 = 25%
Therefore, Connie's team lost 25% of their games this season.
It is important to understand how to calculate percentages in order to solve problems like this. In this case, we used the formula:
percentage = (part / whole) * 100
where the "part" is the number of games lost and the "whole" is the total number of games played. By substituting the appropriate values into this formula, we were able to calculate the percentage of games lost by Connie's team.
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Help me with this worksheet
Answer:
A.)
Rise = 2
Run = 5
m = 2/5
B.)
Rise = 2
Run = - 4
m = - 1/2
C.)
Rise = 3
Run = 1
m = 3
Step-by-step explanation:
Rise = y2 - y1
Run = x2 - x1
Slope, m = Rise / Run
A.) (0,0) ; (5 2)
x1 = 0 ; y1 = 0
x2 = 5 ; y2 = 2
Rise = 2 - 0 = 2
Run = 5 - 0 = 5
m = 2/5
B.) (1, 2) ; (-3, 4)
x1 = 1 ; y1 = 2
x2 = - 3 ; y2 = 4
Rise = 4 - 2 = 2
Run = - 3 - 1 = - 4
m = 2/-4 = - 1/2
C.) (5,2) ; (6,5)
x1 = 5 ; y1 = 2
x2 = 6 ; y2 = 5
Rise = 5 - 2 = 3
Run = 6 - 5 = 1
m = 3/1 = 3
Jay said that 6 billion people could stretch around Earth at the equator
more than 200 times. Show why his claim makes sense. (The distance around
the equator is about 40 000 km.)
If people stood very close together, they could probably rotate the earth about 6 times. Standing approximately 10 or 15 feet away, definitely, 9 times.
anairplane is 40 miles south and 110 miles east of an airport. whatbearing in degrees should the pilot take to fly directly to theairport?
The pilot should take a bearing of approximately 20.5° to fly directly to the airport.
We can use trigonometry to find the bearing in degrees. Let's first draw a diagram:
A (Airport)
|
|
| 40 miles
|
|
P (Airplane)
We want to find the angle between the line from P to A and the eastward direction. Let's call this angle θ.
We can use the tangent function to find θ:
tan(θ) = opposite/adjacent
tan(θ) = 40/110
tan(θ) ≈ 0.364
Now we can use the inverse tangent function (tan⁻¹) to find θ:
θ = tan⁻¹(0.364)
θ ≈ 20.5°
Therefore, the pilot should take a bearing of approximately 20.5° to fly directly to the airport.
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How do write this in terms of sin θ?
Using trigonometric identities in terns of sinθ, tan²θsin²θ = sin⁴θ/(1 - sin²θ)
What are trigonometric identities?Trigonometric identities are mathematical equations that contain trigonometric ratios.
Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.
Since we have tan²θsin²θ (1)
Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ
Making tan²θ subect of the formula, we have that
tan²θ = sec²θ - 1
= 1/cos²θ - 1
So, substituting this into the given equation, we have that
tan²θsin²θ = (1/cos²θ - 1)sin²θ
Now using the trigonometric identity sin²θ + cos²θ = 1
⇒ cos²θ = 1 - sin²θ
So, we have that
tan²θsin²θ = (1/cos²θ - 1)sin²θ
= (1/(1 - sin²θ) - 1)sin²θ
= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)
= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)
= [0 + sin²θ )]sin²θ/(1 - sin²θ)
= [sin²θ]sin²θ/(1 - sin²θ)
= sin⁴θ/(1 - sin²θ)
So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)
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g(n) = -72*(1/6)^n-1 complete the recursive formula
The recursive formula for g(n) is:
g(1) = -72 (base case)
g(n) = \(g(n-1) \times (-1/6)\) (for n > 1)
A recursive formula is a formula that defines a sequence or function by expressing each term in terms of one or more previous terms.
It is a way of defining a sequence or function iteratively, where each term or value depends on the previous terms or values.
To find the recursive formula for \(g(n) = -72\times (1/6)^{(n-1)} ,\) we need to express the function in terms of its previous term, g(n-1).
Notice that g(n) can be obtained by multiplying g(n-1) by -1/6.
This is because:
\(g(n) = -72\times (1/6)^{(n-1)}\)
\(g(n-1) = -72\times (1/6)^{(n-2) }\)
So we can write:
\(g(n) = g(n-1) \times {(-1/6) }\)
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Each student in a gymnastics class tries 20 times to do a cartwheel on the balance beam
without falling off. Their teacher records the number of times each student succeeds in the
list below. Which histogram correctly represents the set of data?
18, 4, 7, 12, 9, 16, 12, 3, 11, 10, 15, 8
Answer:
Step-by-step explanation:
A. BECAUSE THERE IS 2 BARS WITH NUMBER OF STUDENTS AS 4
Una pelota es lanzada horizontalmente desde la azotea de un edificio de 54 m de altura y Llega al suelo a 32 m de la base. Cuál fue la rapidez inicial de la pelota?
The initial speed of a ball thrown horizontally from the roof of a building at a height of 54 m and hitting the ground at a height of 32 m from the bottom is equal to 9.64 m/sec.
A ball throws horizontally from the roof of a building. This is where we have to take horizontal movement into account.
Height of building = 54 m
Height of ground from base = 32 m Calculates the initial speed of the ball.
Since the ball is thrown horizontally, its initial velocity has no vertical component. When released, the ball is subject to gravity and accelerates downward until it hits the bottom. To determine how long the ball stayed in the air before hitting the ground, use the following formula,
d = 1/2×g×t²
where g --> acceleration due to gravity
t --> time
d --> the distance covered by ball before hitting the ground, g= 9.81 m/s².
So, 54 m = (1/2) × 9,81 m/s² × t²
=> t² = 54/4.90
=> t² = 540/49
=> t² = 11.02 sec²
=> t = 3.31963 ~ 3.32 sec
So the ball will stay in the air for about 3.32 seconds. Let v₀ₓ be the horizontal component of the initial velocity. According to the information of the problem, the ball landed 32 m from the bottom of the building. Let's make the initial position x₀ = 0. Then, the final horizontal displacement of a ball will be equals to 32 metres. Using the distance velocity relation, x = x₀ + v₀ₓt and substituting all known values in it,
=> 32 m = 0 + v₀ₓ × 3.32 sec
=> v₀ₓ = 32/3.32
=> v₀ₓ = 9.6385 ≈ 9.64 m/sec
Hence, required value is 9.64 m/sec.
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Complete question:
A ball is thrown horizontally from the roof of a building 54 m high and hits the ground 32 m from the base. What was the initial speed of the ball?
write the equation of the circle in standard (center-radius) form.
x² - 4x + y² + 10y = -28
The center of the circle will be (2, -5) and the radius of the circle will be 1 unit.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The equation is given below.
x² - 4x + y² + 10y = -28
Then the center and the radius of the circle will be
x² - 4x + 4 + y² + 10y + 25 = -28 + 4 + 25
(x - 2)² + (x + 5)² = 1²
Thus, the center and the radius of the circle will be (2, -5) and 1 unit respectively.
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Beginning with the equation x=-36 write the new equation produced by dividing both sides by 6 what would the answer be?
Answer:
x ÷ 6 = -36 ÷ 6
x ÷ 6 = -6
Solve : 24 = 6 - 6 = 2 + (
3 x 7)
Answer:
3.5
Step-by-step explanation:
24=0=2×3×2×7
24=6×14=0
24=84 =0
24÷84=3.5
Find the value of 9u +4 given that 7u-4=3.
Simplify your answer as much as possible.
9u + 4 = 1
Х
Answer:
13
Step-by-step explanation:
Given
7u - 4 = 3 ( add 4 to both sides )
7u = 7 ( divide both sides by 7 )
u = 1
Then
9u + 4 = 9(1) + 4 = 9 + 4 = 13
Answer:
\(7u - 4 = 3 \\ 7u = 4 + 3 \\ 7u = 7 \\ u = \frac{7}{7} \\ \boxed{u = 1} \\\\f(u) = 9u + 4 \\ f(1) = 9(1) + 4 \\f(1) = 9 + 4 \\ \boxed{f(1) = 13 }\)
13 is the right answer.A. - 8/5
B. 5/8
C. - 5/8
D. 8/5
Answer:
5/8
Step-by-step explanation:
To find the slope, use the formula
m = (y2-y1)/(x2-x1)
= (2 - -3)/(6 - -2)
= (2+3)/(6+2)
= 5/8
Answer:
B
Step-by-step explanation:
Helpppppppppppppppppppppp
i need help asap please!!!!!!!!!!!!!!!!!!
============================================================
Explanation:
The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.
Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.
The area of the triangle is therefore...
area = base*height/2
area = 10*9/2
area = 90/2
area = 45 square cm
It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.
------------
A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.
Answer:
C. 50 \(cm^2\)
Step-by-step explanation:
area of big triangle - area of small triangle
find missing side lengths with pythagorean theorem:
\(9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\\)
\(10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}\)
find area:
1/2(10)(\(\sqrt{189}\) ) - 1/2(\(\sqrt{19}\) )(9)
= 49.124
which is closest to 50 \(cm^2\)
A shipping service charges $0.41 for the first ounce and $0.21 for each additional ounce of package weight, Write an equation to represent the price P of shipping a package that weighs x ounces, for any whole number of ounces greater than or equal to 1.
We know that they charge $0.41 for the first ounce and $0.21 for each additional ounce.
Based on the given information, we can define the following equation
\(P=0.41+0.21x\)Where x represents ounces.
Maria and Conner are doing yard work for a neighbor. They make total of 295.02. Snice Conner works fewer hours than Maria, Connor get 19% of the money. About how much in whole dollars does Conner make?
Conner earned $247.50 in whole dollars. Let’s call the total amount of money earned X. We know that Connor earned 19% of that, earning $Y in whole dollars. We want to find Y. To start, we can set up an equation that represents the total amount of money earned:
First, let’s call the total amount of money earned X. We know that Connor earned 19% of that, and we earned $Y in whole dollars. We want to find Y. To start, we can set up an equation that represents the total amount of money earned:
0.19X + Maria’s pay = $295.02
We know that 19% of the total money earned went to Connor,
so we can substitute 0.19X for his pay:
0.19X + Maria’s pay = $295.02
We also know that Maria made more than Connor, so her pay is going to be whatever is left over after we subtract Connor’s pay from the total:
X = Y + 0.19XY + 0.19
X = $295.02Y + 0.19Y + 0.19
X = $295.02
Simplifying the equation, we get:
1.19Y = $295.02
Solving for Y:
Y = $247.50
Therefore, Conner earned $247.50 in whole dollars. Therefore, Connor earned $247.50 in whole dollars while working with Maria. This was found by setting up an equation using the information given and solving for Y.
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a young entrepreneur purchased a lemonade stand for $30 each cup of lemonade cost $0.25 in materials let x equal the number of lemonade cups sold which functions represents the average cost C, if a cup of lemonade ?
The cost of the lemonade stand is $ 30.
The number of lemonade cups is x.
The price of each cup of lemonade is $ 0.25.
The cost function can be determined as,
\(\begin{gathered} c(x)=average\cos t\text{ of lemonade stand}+\text{price of each cup} \\ =\frac{30}{x}+0.25 \\ =\frac{30+0.25x}{x} \end{gathered}\)Thus, option (A) is the correct option.
If the radius of a circle equals 9 inches, what is the circumference?
Answer:
18π
Step-by-step explanation:
circumference = 2pi*radius
so 2*9 = 18
18pi
hope this helped (:
how to multiply matrices with different dimensions
The number of columns in the first matrix must equal the number of rows in the second matrix in order to multiply matrices with different dimensions.
First, jot down each matrix's dimensions. Let's imagine, for illustration, that we have a matrix A that is 2 by 3 and a matrix B that is 3 by 4. Create a new matrix C with the dimensions 2x4 in step 2. This is what the multiplication will ultimately produce.3. Determine the dot product of the corresponding row in matrix A and the corresponding column in matrix B for each element in matrix C.
4: The final response is matrix C, which is the union of the 2x3 matrix A and the 3x4 matrix B.
Therefore, the result is a 2x4 matrix, which is produced by taking the dot product of the rows and columns of matrix A and matrix B.
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Use inductive reasoning to predict the next three numbers in the pattern
The inductive reasoning to predict the next numbers in the pattern is 1/256
Given ,
The pattern is 16,4,1,1/4,1/16 is 1/256
we apply the the Geometric progression formula
an=ar^n-1
an=16/4^n-1
so we get is 1/256.
A geometric progression is a sort of progression in which the succeeding terms have the same constant ratio, known as the common ratio. It is also known colloquially as GP. The GP is commonly expressed as a, ar, ar2...., where 'a' is the first term and 'r' is the progression's common ratio. There are two kinds of geometric progression. They have
There are two types of geometric progression: limited geometric progression and infinite geometric development.
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Given △ABC with m∠A=63° and m∠B=41°, find m∠C.
41 degrees
63 degrees
104 degrees
76 degrees
A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
I keep hearing 3/5 and 7/20 but I don’t know which is right, please help.
Answer: I would go with 3/5, the person who said 7/20 doesn't have any thank you's or ratings besides themselves while 3/5 has thank you's , and confirmation
Step-by-step explanation:
Compute the z score for the applicant. Applicant's score 21.0; Mean 18.0; Standard Deviation - 3.0 O2.0 O-10 10 O-20 O None of these
To compute the z-score for the applicant, we can use the formula:
z = (x - μ) / σ
Where:
x is the applicant's score
μ is the mean
σ is the standard deviation
Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.
z = (21.0 - 18.0) / (-3.0)
z = 3.0 / -3.0
z = -1.0
Therefore, the z-score for the applicant is -1.0.
The correct option is O-10.
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square root 2x-7 = 1
Answer:
4
Step-by-step explanation:
To solve for x in the equation:
√(2x - 7) = 1
We can start by isolating the square root by squaring both sides of the equation:
(√(2x - 7))^2 = 1^2
2x - 7 = 1
Next, we can isolate the variable by adding 7 to both sides of the equation:
2x = 8
Finally, we can solve for x by dividing both sides by 2:
x = 4
Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.
\(52 \times 749 = \)
what is 52 x 749=
factorise 1000a^2+27b^2
Help what’s the answer???
solve this equation
4f+2=6f-12
Let's try to understand how we can solve this equation
Given equation,4f+2=6f-12
Now we will take the terms on one side and constants on the other.
=> 2+12=6f-4f
=> 14=2f
=>7=f
So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.
Simplify the expression
6s-6s=?
Answer:
0
Step-by-step explanation:
6-6=0 so when you multiply s by 0 its 0
What is a set of linearly independent vectors?
A set of linearly independent vectors is a group of vectors that are not all scalar multiples of each other.
This means that none of the vectors can be formed by a linear combination of the other vectors. In other words, the vectors in a set of linearly independent vectors must be “independent” of each other, meaning that none of the vectors can be expressed as a linear combination of the other vectors.
An example of a set of three linearly independent vectors would be (1,0,0), (0,1,0), and (0,0,1).
A set of linearly independent vectors is a set of vectors that cannot be expressed as a linear combination of other vectors in the same set. In other words, the vectors are not dependent on each other.
Linear independence is an important concept in linear algebra, as it allows us to solve systems of linear equations and perform other important mathematical operations. For example, if we have a set of three vectors in three-dimensional space, and we can show that they are linearly independent, then we know that they span the entire space and that any other vector in that space can be written as a linear combination of those three vectors.
Linear independence is closely related to the concept of rank. The rank of a matrix is the number of linearly independent columns in that matrix. If a matrix has full rank, then it has the maximum number of linearly independent columns possible, and any other column in that matrix can be written as a linear combination of those columns.
This property is used in many applications, including data analysis, machine learning, and more. Overall, linear independence is an important concept in linear algebra and has many important applications in mathematics and beyond.
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