Answer: It’s A, 655.
The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.
Given :
The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times.There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio (5 : 4 : 3 : 2 : 1).The total number of slots is given by:
[tex]50\times 20 = 1000[/tex]
So, the total number of tunes in each slot is 1000.
The total number of remaining tunes is given by:
[tex]=1000-(400+450)[/tex]
= 150
According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.
So, the total number of tunes a member will hear is given by:
[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]
= 655
So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.
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[7,8] is the difference between
2 vectors with components [a, 5] and
(-4,-3). What is a
Answer:
The value of [tex]a[/tex] is 3.
Step-by-step explanation:
Let be [tex]\vec a = \langle a, 5 \rangle[/tex] and [tex]\vec b = \langle -4,-3 \rangle[/tex], the difference between the two vectors is:
[tex]\vec c = \vec b - \vec a[/tex]
[tex]\vec c = \langle a, 5\rangle - \langle -4,-3 \rangle[/tex]
[tex]\vec c = \langle a+4,8 \rangle[/tex]
If we know that [tex]\vec c = \langle 7,8 \rangle[/tex], the value of [tex]a[/tex] is:
[tex]\langle 7, 8 \rangle = \langle a+4, 8\rangle[/tex]
In which,
[tex]a + 4 = 7[/tex]
[tex]a = 3[/tex]
The value of [tex]a[/tex] is 3.
I need help if anyone can help me and explain it how to do it
Step-by-step explanation:
h(x) = f(g(x)), so h(x) is the same as g(x) substituted into f(x).
In this case, we can say f(x) = √x, and g(x) = 5x + 30.
f(g(x)) = √(5x + 30)
A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.
Answer:
Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
Step-by-step explanation:
There are 30 students in a sixth grade class. 60% of the students are girls. How many of the students are girls?
Answer:
18
Step-by-step explanation:
30 students * 60/100= 18
Find the midpoint of the segment with the following endpoints.
(-1,9) and (-7,1)
Answer:
1 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
or rise over run
m=1-9/(-7)-(-1)= (-8)/(-6)= 1 1/3
Answer:
11/3
Step-by-step explanation:
6.4n-1.2+3n+8.2=19.22
What number would make the statement true
Answer:
Step-by-step explanation:
6.4n - 1.2 + 3n + 8.2 = 19.22
So we can separate the variable side on the left, and the whole numbers on the right.
6.4n + 3n = 19.22 - 8.2 + 1.2
which gives us,
9.4n = 12.22
n = 1.3
A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.
Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
The variance is the square of the standard deviation . it measures the spread between data values in a data set.So if standard deviation of 10 subjects = 98753 kg
Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]
Hence, the variance of their weights = 9,752,155,009 kg.
Complete the recursive formula of the geometric sequence 56\,,-28\,,\,14\,,-7,...56,−28,14,−7,...56, comma, minus, 28, comma, 14, comma, minus, 7, comma, point, point, point. d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals d(n)=d(n-1)\cdotd(n)=d(n−1)⋅d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, dot
Answer:
Step-by-step explanation:
[tex]r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}[/tex]
The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The standard equation for geometric series is
Tₙ = a₁ rⁿ⁻¹
The formula above represents the explicit formula to determine the nth term of the sequence.
The recursive formula is used to determine the nth term when (n-1) th term is given.
The geometric sequence is,
56, -28, 14, -7,.................
The first term of the sequence is 56
The common ratio is determined by taking the ratio of the second term to the first term.
r = -28/56 = -1/2
The recursive formula is represented by,
aₙ = r * aₙ₋₁
aₙ = (-1/2) * aₙ₋₁
To know more about Geometric Series
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Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description
Answer:
x = 8Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
Hence the value of x is 8
can someone do it :) Simplify 5(x - 6).
Answer:
5x - 30
Step-by-step explanation:
I used the distributive property and I think I got it.
Answer:
5 x minus -30
x is equal to -6
hope this helped you
please mark as the brainliest (ㆁωㆁ)
How do you do this problem?
Step-by-step explanation:
∫ t⁷ e^(-t⁴) dt
If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.
∫ ¼ x eˣ dx
If u = ¼ x, then du = ¼ dx.
If dv = eˣ dx, then v = eˣ.
∫ u dv = uv − ∫ v du
= ¼ x eˣ − ∫ ¼ eˣ dx
= ¼ x eˣ − ¼ eˣ + C
= ¼ eˣ (x − 1) + C
Substitute back:
= ¼ e^(-t⁴) (-t⁴ − 1) + C
The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,
[tex]\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C[/tex]
Rita is developing an equation that will represent the same proportional relationship as the graph.
It's d. The quotient of the coordinates will be a coeffficient in the equation
Question 5: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.
74 73 74 77 75 68 73 69 69 69
70 71 73 72 72 71 62 63 66 65
65 64 68 67 67
Find the percentile rank of 73. % =
Answer:
The percentile rank of the data value 73 is 84.
Step-by-step explanation:
In this problem, you want to find the percentile rank of the data value 73 in the data set.
The percentile rank represents the percent of numbers in the data set that have value equal or less than 73.
Take note that there are 25 data values in this data set. It's helpful to sort them in ascending order.
Of these 25 data values, 21 are less than or equal to the data value 73. To find the percentile rank of 73, apply the formula:
percentile rank = (L/N)(100)
where L is the number of data values that are less than or equal to 73, and N is the size of the data set.
Substituting in values for this problem, we have:
percentile rank = (21/25)(100)
percentile rank = (0.84)(100)
Percentile ranks are always expressed as whole numbers.
Evaluating the multiplication above and rounding to the nearest whole number we have:
percentile rank = 84
Interpreting our answer, 84% of the numbers in the data set have values less than or equal to 73.
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Answer:
45
Step-by-step explanation:
5z^x
Substitute each number for the right letter
5(-3)^2
5(9)
45
A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres
Answer:
A. [tex] 8n + 200 [/tex], $400.
Step-by-step explanation:
Monthly rent per acre for pasture land = $8
Additional monthly fee = $200
Let n represent the number of acres.
Therefore, expression for the total monthly cost would be:
[tex] 8n + 200 [/tex].
If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.
Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].
[tex] = 200 + 200 [/tex]
[tex] 400 [/tex].
Total monthly cost = $400
Which rules define the function graphed below?
Answer:
y = 2x + 3; y = -1/3 x + 3
Step-by-step explanation:
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are
y = 2x + 3; y = -1/3 x + 3
Answer:
A
y = 2x + 3; y = -1/3 x + 3
Choose the expression that represents the prime factorization of 96.
3.24
6.8.2
3.25
3.2.2.2.2
Answer:
3.2.2.2.2...
Step-by-step explanation:
The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers
-(4+H)=3h
Solve for h
WILL GIVE BRAINLIEST!!Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
He only accepts jobs that last 4 hours or more.
Step-by-step explanation:The number of hours is x and so when you plug in 4 hours into the equation. 30+15 (4) it equals exactly 90
***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.
The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:
As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.Therefore, the final answer is "Choice D"
Learn more:
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Answer:
D.Households act as consumers for goods made by businesses.
Step-by-step explanation:
Solve each expression using the correct order of operations,
7- 5 + 3 x 10
Answer:
28 is your answer
Step-by-step explanation:
you start with multiplication and continue with addition and then go to subtraction
Answer:
32
Step-by-step explanation:
3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -
So 30
7-5+30 = 32
If f(x) = 2 - x, express 2f(a) + f(2a) in simplest form.
Answer:
6 - 4a
Step-by-step explanation:
From the question given,
f(x) = 2 - x
2f(a) + f(2a) =.?
First, we shall obtain f(a). This can be obtained as follow:
f(x) = 2 - x
x = a
f(a) = 2 - a
Next, we shall obtain 2f(a). This is can be obtained as follow:
f(a) = 2 - a
2f(a) = 2(2 - a)
2f(a) = 4 - 2a
Next, we shall obtain f(2a). This can be obtained as follow:
f(x) = 2 - x
x = 2a
f(2a) = 2 - 2a
Finally, we shall determine 2f(a) + f(2a) as follow:
2f(a) = 4 - 2a
f(2a) = 2 - 2a
2f(a) + f(2a) =?
2f(a) + f(2a) = (4 - 2a) + (2 - 2a)
2f(a) + f(2a) = 4 - 2a + 2 - 2a
2f(a) + f(2a) = 4 + 2 - 2a - 2a
2f(a) + f(2a) = 6 - 4a
Therefore, 2f(a) + f(2a) is equivalent to 6 - 4a
HELPPPP PRECALC WILL GIVE BRAINLIEST
Answer:
500
600
500
Step-by-step explanation:
Which describes an atom that has fewer neutrons and protons and more electrons than protons
Answer:
Negative charged ion :)
Answer:
Negative charged ion
Step-by-step explanation:
-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?
Answer:
Terms: -1, 2z, -z²
Coefficients: 2, -1
Constant Term: -1
Step-by-step explanation:
Terms are a set of numbers. It can be accompanied by a variable or not.
Terms: -1, 2z, -z²
Coefficients are the numbers that are in front of a variable.
Coefficients: 2, -1
Constant term is just a number, with no variable attached to it.
Constant Term: -1
4.Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
PLEASE HELP
Answer:
I think it's x3-x=0 but is not you can use a math app and take a picture
Answer:
-2
Step-by-step explanation:
(6,0)-(0,3)
It goes don -6 and over 3
-6/3=-2
6x-2=7x+9 find x plz help
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]6x-2=7x+9[/tex]
Add 2 to both sides:
[tex]6x-2+2=7x+9+2[/tex]
[tex]6x=7x+11[/tex]
Subtract 7x from both sides:
[tex]6x-7x=7x+11-7x[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
Answer:
X= -11
Step-by-step explanation:
Simplifying
6x + -2 = 7x + 9
Reorder the terms:
-2 + 6x = 7x + 9
Reorder the terms:
-2 + 6x = 9 + 7x
Solving
-2 + 6x = 9 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-2 + 6x + -7x = 9 + 7x + -7x
Combine like terms: 6x + -7x = -1x
-2 + -1x = 9 + 7x + -7x
Combine like terms: 7x + -7x = 0
-2 + -1x = 9 + 0
-2 + -1x = 9
Add '2' to each side of the equation.
-2 + 2 + -1x = 9 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 9 + 2
-1x = 9 + 2
Combine like terms: 9 + 2 = 11
-1x = 11
Divide each side by '-1'.
x = -11
Simplifying
x = -11
Pleaseee. helpppl
Find the most important variable in the problem.
There are 13 fish in an aquarium. Seven of the fish are guppies. How many
non-guppies are in the aquarium?
A. the total number of fish
B. the number of guppies
c. the number of non-guppies
Answer:
C. the number of non-guppies
Step-by-step explanation:
The number of non-guppies is the only variable the other two options have defined values.
Answer:
C, The number of non- guppies is the most important variable.
Step-by-step explanation:
The answer is the unknown variable that you're trying to find and the entire problem is to help you find the unknown.
Which of the numbers 8,9, or 10 is the solution to 70=8-x
Answer:
Step-by-step explanation:
Add x to both sides.
70 +x = 8
Subtract 70 from both sides.
x = 8 - 70
x = - 62
None of the answers fit.
Solve the equation: 2^2 − 9 + 10 = 0 Step by step
Step-by-step explanation:
2^2 − 9 + 10 = 0
4-9+10=0
4+1=0
5=0
False