There are 720 ways the Grandview high school band can manage the order of their performance of six pieces of music
To determine the number of ways the Grandview high school band can manage the order of their performance of six pieces of music, we need to find the number of permutations of six objects taken six at a time.
The following is the formula for the number of permutations of n objects taken r at a time:
P(n, r) = n! / (n - r)!
In this case, we need to find P(6, 6), which is:
P(6, 6) = 6! / (6 - 6)!
= 6! / 0!
= 6 x 5 x 4 x 3 x 2 x 1
= 720
Therefore, there are 720 ways the Grandview high school band can manage the order of their performance of six pieces of music.
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what is the equation of the line that is parallel to y=-2x+3 and passes through (4,7)
Answer:
the answer y=2x-1
Step-by-step explanation:
since the gradients of equations that are parallel are the same the equation is y=2x + something. we get the something by using substitution.
The 4 is the x and the 7 is the y value.
c will be the something
so it will be 7=2(4)+ C
7=8+C
7-8=c
-1=C
[17] Write a numerical expression to represent the phrase: "The quotient of 30 and the sum of 5 and 7"
Solution:-
The sum of 5 nd 7 is:
5 + 7 = 12The quotient of 30 nd the sum of 5 nd 7 is written as:
\(\large{ \frak{\frac{30}{ \: 7 + 5 \: } }}\)\( \: \).
\( \large \frak{ \cancel \frac{ \: 30 \: }{ \: 12 \: } }\)\( \: \)
\( {\underline{\boxed{\large{ \red{ \frak{= 2.5\: }}}}}}\)\( \: \)
hope it helps! :)
.
100 POINTS, PLEASE HELP!!!!!!!!!!!!!!! WILL GIVE BRAINLIEST TOO!!!!!!!!!!!!!!!!!!!!
1. Malik’s weekly pay varies directly to the number of hours he works as a lifeguard. His weekly pay is $229.50 when he works 17 hours. What is his weekly salary when he works 23 hours? Note: Write a direct variation equation representing this situation and use this equation to answer the question. Show all steps.
2. Determine the vertical asymptotes and holes for the graph of the equation below. Show all steps.
y = x+1 / x^2 - 6x - 7.
Answer: 310.5 2) 7 , -1
Step-by-step explanation:
1) divide 229.50 by 17 (13.5) and multiply by 23 (310.5)
2) To find the vertical asymptotes, set the denominator equal to zero and solve for x. This is already factored in, so set each factor to zero and solve. Since the asymptotes are lines, they are written as equations of lines. The vertical asymptotes are 7 and -1.
On Wednesday, Joel, who is right-footed, takes exactly 20\%20%20, percent of his practice shots on goal with his left foot. Joel takes 141414 shots with his left foot.
How many total shots on goal did Joel take on Wednesday?
Answer:
5
Step-by-step explanation:
Answer:
Joel took 70 total shots on goal on Wednesday.
Step-by-step explanation:
Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?
y=1/4x-6, m=? b=?
pls help
Answer: x=4y+24
b=b
How to: Solve in terms of the arbitrary variable y .
Have a great day and stay safe ! So sorry if im wrong .
What is 7/10-1/2?
Pls I really need this answer
Answer:
To subtract 1/2 from 7/10, we need to find a common denominator. The least common multiple of 2 and 10 is 10, so we can convert 1/2 to 5/10:
7/10 - 5/10 = (7 - 5)/10 = 2/10 = 1/5
Therefore, 7/10 - 1/2 = 1/5.
Answer:
To subtract 1/2 from 7/10, we need to find a common denominator. The least common multiple of 2 and 10 is 10, so we can convert 1/2 to 5/10:
7/10 - 5/10 = (7 - 5)/10 = 2/10 = 1/5
Therefore, 7/10 - 1/2 = 1/5.
Triangle J K L is shown. Lines are drawn from each point to the opposite side and intersect at point P. Line segments J O, K M, and L N are created.
In the diagram, which must be true for point P to be the centroid of the triangle?
LN ⊥ JK, JO ⊥ LK, and JL ⊥ MK.
JL = LK = KJ
JM = ML, LO = OK, and KN = NJ.
LN is a perpendicular bisector of JK, JO is a perpendicular bisector of LK, and MK is a perpendicular bisector of JL.
Answer:
For point P to be the centroid of triangle JKL, the following must be true:
- P must be the intersection point of the three medians of the triangle, which are the line segments connecting each vertex to the midpoint of the opposite side.
- Each median must pass through P, dividing the median into two equal parts.
- The centroid is the center of mass of the triangle, so the three medians must intersect at a point that divides each median into two parts in the ratio of 2:1.
Option 3 satisfies all these conditions. If LN is a perpendicular bisector of JK, then it passes through the midpoint of JK, dividing it into two equal parts. Similarly, JO is a perpendicular bisector of LK and MK is a perpendicular bisector of JL, so they each pass through the midpoint of the opposite side, dividing it into two equal parts. Therefore, all three medians pass through P and divide each median into two parts in the ratio of 2:1, making P the centroid of triangle JKL.
Answer: C
JM = ML, LO = OK, and KN = NJ.
Step-by-step explanation:
I just finished the review, Good luck y'all.
Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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what percentage of 40 is 8
Answer:
20%
Step-by-step explanation:
20% of 40 is 8.
x = 8
100% = 40
x = 20%
Builders are replacing the congruent roofs on House A and House B. What is the measure of
Someone please help me ?!?!?
Answer:
c
Step-by-step explanation:
Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (3, 0, 0) (x, y, z) (b) (10, pi/3, pi/4)
the rectangular coordinates of the point whose spherical coordinates are given. (3, 0, 0) are (0.0.3)
What is spherical coordinates?
The coordinate system that is most frequently employed in three-dimensional systems is called spherical coordinates of the system, represented as (r,Ф,∅ ). The surface area in three dimensions is calculated using the spherical coordinate system. Radial distance, polar angles, and azimuthal angle are the three numbers that these coordinates indicate. Additionally known as spherical polar coordinates.
Given (r,Ф,∅ ) = (3,0,0)
x = rsin∅ cosФ = 3 * sin0 *cos0 = 0
y = rsin∅ sinФ = 3*0*0 = 0
z = rcos∅ = 3*1 = 3'
SO (x,y,y) = (0,0,3)
Hence the rectangular coordinates of the point whose spherical coordinates are given. (3, 0, 0) are (0.0.3)
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The emf of a cell is balanced by a length of 120cm of potentiometer wire.When the cell is shunted by a resistance of 10 ohms,the balancing length is reduced by 20cm.Find the internal resistance of the cell.
In a case whereby emf of a cell is balanced by a length of 120cm of potentiometer wire and when the cell is shunted by a resistance of 10 ohms,the balancing length is reduced by 20cm the internal resistance of the cell is 2Ω.
How can the internal resistance of the cell be calculated?Frm the question we were given;
R = 10 Ω
l(1) = 120 cm
I(2) = (120 – 20) = 100 cm
The formula for the internal resistance can be written as ;
R=r(l1 - l2)/l2
=10(120 - 100)/100
=2Ω
Therefore, the internal resistance of the cell is 2Ω
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Whats the answer plz??
Answer:
C
Step-by-step explanation:
Absolute Value is the distance from 0, so when you have -|22| that means its the absolute value of 22 then add the negative sign so that means it's further from 0 than |-22|.
I hope this will help.
What's the length of the hypotenuse of right ΔDEF shown?
Question 13 options:
A)
√87
B)
12
C)
15
D)
√117
Answer: √177
Step-by-step explanation:
6²+9²=c²
36+81=c²
117=c²
√117=√c²
√177 = c
(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)
PLEASEEEE HELPPPPP PLEASEEEE
Answer/Step-by-step explanation:
A. The quadrilateral cam be named using the letters of the vertices. Thus, it is named as: quadrilateral LMNP
B. 82° + (3x - 1)° = 180° (adjacent angles are supplementary)
Solve for x
82 + 3x - 1 = 180
Add like terms
81 + 3x = 180
Subtract 81 from both sides
3x = 180 - 81
3x = 99
x = 99/3
x = 33
C. Opposite angles in a quadrilateral are equal. Therefore,
m<L = (3x - 1)°
Plug in the value of x
m<L = 3(33) - 1
m<L = 99 - 1
m<L = 98°
Suppose that p partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
3600 + p
3600 minus p
3600 p
StartFraction 3600 over p EndFraction
3600/p is an algebraic expression that represents the Share of each partner.
What is the algebraic expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Here, we have
Given: Suppose that p partners equally share the profits from a sale of $3,600.
Number of Partners = p
Total Profit = $ 3600
Profit of Each Partner = Total Profit/number of Partners
=> Profit of Each Partner = 3600 / p
Hence, 3600/p is an algebraic expression that represents the Share of each partner.
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Please help I will mark brainliest
Answer:
slope = - 50
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (4, 2400) and (x₂, y₂ ) = (12, 2000) ← 2 points on the line
m = \(\frac{2000-2400}{12-4}\) = \(\frac{-400}{8}\) = - 50
Which number line shows the solution set?
2.6+x<8.3
Responses
The solution of the inequality 2.6 + x < 8.3 represents a line with an open circle at 5.7 going towards negative infinity.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality 2.6 + x < 8.3.
⇒ x < 8.3 - 2.6.
x < 5.7
This will represent a number line with an open circle(not including) at 5.7
going towards negative infinity.
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To determine the number of ways to arrange items when order does matter but the items are not replaced is done with a permutation. True or false
ANSWER
True
EXPLANATION
When the order matters, the number of ways to arrange items is determined with a permutation. This way, sets of items with the same items but in different order are counted as different sets. For example, (blue, red, green) is not the same as (green, red, blue).
On the other hand, when order does not matter, the number of ways to arrange items is determined with a combination. This way, sets with the same items are counted as the same set. In the previous example, both sets have the same combination of colors, so they are counted as the same set.
Hence, it is true that when the order does matter, the number of ways to arrange items is determined with a permutation.
2m+1 _2m÷2m:simplify
Simplify the expression.
2m
Baseball regression line prediction: Suppose the regression line for the number of runs scored in a season, y, is given by 9 760 + 5000x, where x is the team's batting average. a. For a team with a batting average of 0.235, find the expected number of runs scored in a season. Round your answer to the nearest whole number. b. If we can expect the number of runs scored in a season is 500, then what is the assumed team's batting average? Round your answer to three decimal places.
a) Rounding this to the nearest whole number, we get an expected number of runs scored in a season of 10,935.
b) We can assume that the expected number of runs scored in a season of 500 is not achievable with any reasonable batting average.
a. To find the expected number of runs scored in a season for a team with a batting average of 0.235, we substitute 0.235 for x in the regression equation:
y = 9,760 + 5,000x
y = 9,760 + 5,000(0.235)
y = 9,760 + 1,175
y ≈ 10,935
Rounding this to the nearest whole number, we get an expected number of runs scored in a season of 10,935.
b. To find the assumed team's batting average given an expected number of runs scored in a season of 500, we rearrange the regression equation and solve for x:
y = 9,760 + 5,000x
500 = 9,760 + 5,000x
5,000x = -9,260
x = -1.852
This negative value for x doesn't make sense in the context of batting average, so we can assume that the expected number of runs scored in a season of 500 is not achievable with any reasonable batting average.
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∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW
≅
UW
.
T
U
V
W
Answer: did you make that up ??
Step-by-step explanation:
Answer:
A. Alternate interior
B. Transitive property
C. Converse alternate interior angles theorem.
10. Kayori has saved $400 to buy new clothes. She will spend $40 a week on new clothing items.
Choose the best variable to use if you were writing an expression to represent the situation.
(1 Point)
d number of days
w: number of weeks
c number of clothing items
k: Kayori
Answer:
w: number of weeks
Step-by-step explanation:
Because it mentions she starts with $400 and spends $40 a week. That's like saying every week she'll spend $40.
Just because I feel like it, I'll give you the equation.
40w = 400
400/40 = w
Hope that helps and have a great day!
What will be the coordinates of point G after
a 90° counterclockwise rotation about the
origin?
So, if we have the original coordinates of point G, we can swap the x and y values and negate the new y-value to find the coordinates of point G after a 90° counterclockwise rotation about the origin.
To perform a 90° counterclockwise rotation about the origin, we can use the following transformation:
x' = -y
y' = x
This means that the new x-coordinate (x') will be the negative of the original y-coordinate (y), and the new y-coordinate (y') will be the original x-coordinate (x).
If we have the coordinates of point G, we can apply this transformation to find the new coordinates after the rotation.
Let's say that the coordinates of point G are (x, y). Then, the new coordinates (x', y') after the rotation will be:
x' = -y
y' = x
So, the new coordinates will be (-y, x). Therefore, if we want to find the new coordinates after a 90° counterclockwise rotation, we just need to swap the x and y values and negate the new y-value. This gives us the following coordinates for point G after the rotation:
G' = (-y, x)
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Find the slope between the points (1,3) and (9,27)
Answer:
slope = 3
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )
m = \(\frac{27-3}{9-1}\) = \(\frac{24}{8}\) = 3
\(\mathbb{FINAL\:ANSWER:}\)
\(\huge\boxed{\sf\:Slope=3}}\)
\(\mathbb{SOLUTION\:WITH\:STEPS:}\)
Hi! Hope you are having a nice day!
We are given 2 points that the line passes through, so we can use the slope formula and find the slope.
Slope Formula:
\(\displaystyle\frac{y2-y1}{x2-x1}\)
\(\displaystyle\frac{27-3}{9-1}\)
\(\displaystyle\frac{24}{8}\)
The fraction can be reduced:
\(\displaystyle\frac{3}{1}\)
which is the same as
\(3\)
Hope you could understand everything.
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Determine the slope that is parallel to 3x+9y=12
Answer: slope is -1/3
a parallel line answer is below
Step-by-step explanation:
3x+9y=12 can be automatically rewritten as 9y=-3x+12 but the proper form is y= (−1/3)x +(4/3)
to find a parallel line to another slope, you must keep the slope and change the y intercept.
so for example:
y= -1/3x + 4 would follow this rule
but really you can change the y intercept to anything reasonable
NEED HELP!!! TIMED!!!
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval 0 <= x <= 1?
The exponential grows at half the rate of the quadratic.
The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic.
The exponential grows at four times the rate of the quadratic.
The statement which is true of the growth rate of the functions over the interval 0 ≤ x ≤ 1 is that: B. The exponential grows at the same rate as the quadratic.
What is the rate of change?The rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity.
Mathematically, the rate of change can be calculated by using this formula;
\(Rate = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Rate = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
From the given interval and graph (see attachment), the data point for the exponential function would be as follows:
Point (x₁, x₂) = (0, 1)Point (y₁, y₂) = (1, 2)Next, we would calculate the rate of change of the exponential function over the given interval:
Rate of change = (2 - 1)/(1 - 0)
Rate of change = 1/1
Rate of change = 1.
From the given interval and graph (see attachment), the data point for the quadratic function would be as follows:
Point (x₁, x₂) = (0, 1)Point (y₁, y₂) = (0, 1)Next, we would calculate the rate of change of the quadratic function over the given interval:
Rate of change = (1 - 0)/(1 - 0)
Rate of change = 1/1
Rate of change = 1.
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in a small village of 300 residents, 190 own their home, and 110 rent. if a random sample of 20 residents is selected, then:
The probability of selecting 19 homeowners and 1 renter in a random sample of 20 residents in a small village with 190 homeowners and 110 renters.
To calculate the probability of randomly selecting a homeowner and a renter from a small village of 300 residents with 190 homeowners and 110 renters in a sample of 20 residents, follow these steps:
1. Calculate the probability of selecting a homeowner (P(homeowner)).
P(homeowner) = Number of homeowners / Total number of residents = 190 / 300
2. Calculate the probability of selecting a renter (P(renter)).
P(renter) = Number of renters / Total number of residents = 110 / 300
3. Calculate the number of ways to choose 19 homeowners and 1 renter from the sample (Combination).
C(190,19) × C(110,1) = (190! / (19! × (190-19)!)) × (110! / (1! × (110-1)!))
4. Calculate the number of ways to select a random sample of 20 residents (Combination).
C(300,20) = 300! / (20! × (300-20)!)
5. Calculate the probability of selecting 19 homeowners and 1 renter from the random sample of 20 residents.
Probability = (C(190,19) × C(110,1)) / C(300,20)
By calculating these values, you will find the probability of selecting 19 homeowners and 1 renter in a random sample of 20 residents in a small village with 190 homeowners and 110 renters.
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Consider the initial value problem for the function y,
y’ 6 cos(3t)/ y^4 -6 t^2/y^4=0
y(0) =1
(a) Find an implicit expression of all solutions y of the differential equation above, in the form y(t, y) = c, where c collects all constant terms. (So, do not include any c in your answer.) y(t, Ψ =___________ Σ
(b) Find the explicit expression of the solution y of the initial value problem above.
Ψ =___________ Σ
(a) The implicit expression of all solutions y is given by t^3 + 2 ln|y| - 2t^2 + 2ln|y|^3 = Ψ, where Ψ collects constant terms.
(b) The explicit expression of the solution y for the initial value problem y(0) = 1 is given by y(t) = [(2t^2 + 2ln|y(0)|^3 - Ψ)/2]^(-1/3).
(a) To find an implicit expression, we rearrange the terms and integrate both sides of the given differential equation. This leads to an equation that combines the terms involving t and y, resulting in an expression involving both variables. The constant terms are collected in Ψ.
(b) To obtain the explicit expression, we use the initial condition y(0) = 1 to determine the value of the constant term Ψ. Substituting this value back into the implicit expression gives the explicit solution, which provides a direct relationship between t and y.
The expression allows us to calculate the value of y for any given t within the valid domain. By plugging in specific values of t into the equation, we can obtain corresponding values of y.
The solution represents the function y(t) explicitly in terms of t, providing a clear understanding of how the function evolves with respect to the independent variable.
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Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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