Answer:
Step-by-step explanation:
The number of times that each song is played is reducing in arithmetic progression. We would determine the total number of time for plating all the songs in a week by applying the formula for determining the sum of the n terms in an arithmetic sequence. It is expressed as
Sn = n/2(2a + (n - 1)d
Where
d represents the common difference
n represents the number of terms
a represents the first term of the sequence
Sn represents the sum of n terms if the sequence.
From the information given,
a = 60
n = 60
d = - 1
Sn = 60/2(2 × 60 + (60 - 1)-1)
Sn = 30(120 - 59)
Sn = 1830 times
The 60 songs are played for 1830 times in a week. If each song takes 3 minutes to play, then the total time taken to play the songs for 1830 times in a week is
3 × 1830 = 5490 minutes
7 days = 1 week
24 hours = 1 day
60 minutes = 1 hour
The number of minutes in a week is
7 × 24 × 60 = 10080 minutes
The station also has 24 ten-minute news breaks each day. The number of minutes of break for each day is
24 × 10 = 240 minutes
The amount of break time in a week is
240 × 7 = 1680 minutes
If the remaining minutes is meant for advertising, then the number if minutes available for advertising is
10080 - (5490 + 1680) = 2910 minutes
1 minute = 60 seconds
2910 minutes = 2910 × 60 = 174600 seconds
If the station charges $100 for every 30 seconds of advertising, then the amount that they take in each week(for 174600 seconds) is
(174600 × 100)/30 = $5820000
Keith buys 6 pencils for 90p how much would 11 pencils cost
Answer:
keith buy 11 pencils at the cost of 165 paise
Step-by-step explanation:
6 pencils cost = 90 paise
so 1 pencil cost = 15 paise
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
Root of forty rational root of forty times negative one irrational, root of forty times negative one rational, root of forty plus negative one irrational.
I believe this is right because rational should be positive and ir should be negative.......
What is (-18)^(-6)-(-4)
Answer:
Step-by-step explanation:
First we will solve powers
-6 -(-4)
-6+4=-2
Now put power -2
-18^-2
=−−0.00308
Answer:
3.99=4
Step-by-step explanation:
35.76 and 35.8 and make the inequality 35.76<________<35.8 a true statement?
Corrected Question
Find a number in between 35.76 and 35.8 and make the inequality 35.76<________<35.8 a true statement?
Answer:
One example is 35.77
Step-by-step explanation:
Given the numbers 35.76 and 35.8
To make the inequality \(35.76< x <35.8\) a true statement, we look for a value of x such that:
\(x>35.76; and\\x<35.8\\$Let x=35.77\\Cearly:$\\35.77 > 35.76;$ and$\\35.77<35.8\)
Therefore:
\(35.76< 35.77 <35.8\) is a true statement.
The law of large numbers and the central limit theorem tell us how standard deviations behave as medians increase.
a. true
b. false
The law for all large numbers with the central limit-theorem will tell us about how standard deviations doesn't as increase with medians. So b). false is correct.
The Law for all Large Number states that once pattern length has a tendency to infinity, the pattern imply equals to populace imply. The statements aren't contradictory. The Central Limit Theorem inform us that because the pattern length has a tendency to infinity, the of the distribution of pattern method methods the ordinary distribution.
The regulation of huge numbers has a completely vital position in possibility and statistics. It states that in case you repeat an test independently a huge variety of instances and common the result, what you got must be near the predicted value.
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The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
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What is the distance between the points (-2,1) and (5,-4)
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
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Which expressions are equivalent to 4m+4n+10?
Select all that apply.
Options are in screenshot
Answer: 3 , 4 and 5 are correct options
Step-by-step explanation:
5,000 x 300,000 +50 -300 +4,200 x 2 - 5 x 255 =
Answer:
1500006875
Step-by-step explanation:
Multiply 2 numbers at a time
For 2021, Gourmet Kitchen Products reported $22 million of sales and $19 million of operating costs (including depreciation). The company has $14 million of total invested capital. Its after-tax cost of capital is 9% and its federal-plus-state income tax rate was 25%. What was the firm's economic value added (EVA), that is, how much value did management add to stockholders' wealth during 2021?
The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Net operating profit = (22 million - 19 million)*(1 - 0.36)
= $1.92 million
EVA = net operating profit after taxes - invested capital*WACC
= 1.92 million - 15 million*0.10
= $0.42 million
Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.
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Solve -4y - 3 + 3y = 8 - 2y -15, interpret the result
Answer:
y = -4
Step-by-step explanation:
-4y - 3 + 3y = 8 - 2y - 15
~Combine like terms
-y - 3 = -2y - 7
~Add 3 to both sides
-y = -2y - 4
~Add 2y to both sides
y = -4
Best of Luck!
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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A video game randomly chooses your car color and type. The
probability of getting a red car is 0.20, and the probability of
a getting a convertible is 0.30.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if
• A. The probability of getting a red car or a convertible is 0.06.
O
B. The probability of getting a red convertible is 0.06.
• C. The probability of getting a red car or a convertible is 0.50.
O D. The probability of getting a red convertible is 0.
The correct statement regarding when the events will be independent is given as follows:
B. The probability of getting a red convertible is 0.06.
What are independent events?Two events, A and B are independent, if:
\(P(A \cap B) = P(A)P(B)\)
In this problem, the probabilities are given as follows:
P(A) = 0.2.P(B) = 0.3.The events will be independent if:
\(P(A \cap B) = 0.2 \times 0.3 = 0.06\)
The intersection of events A and B is a red convertible car, hence the correct option is:
B. The probability of getting a red convertible is 0.06.
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How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the square tiles has an edge of 3/4 ft. Show your work
Using the value 22/7 for π, Calculate the area of a flat ring whose inside and outside diameters are 4cm and 10cm respectively
The area of a flat ring whose inside and outside diameters are 4cm and 10cm is 66cm²
What is the area of the circle?The region encircled by a circle with radius r is known as πr² in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.
Circular ring's inner diameter (d) is equal to 4 cm.
Circular ring's inner radius (r) is 2 cm.
The circumference of the ring (D) is 10 cm.
Circular ring's (R) outer radius is 5 cm.
To locate
the circumference of the ring.
Solution:
The following formula can be used to calculate the area of a circular ring whose inner and outer diameters are given:
Area of a circle equals (R2 - r2).
= 22(5^2-2^2) / 7
= 66cm²
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Please help ASAP questions and answer selection in screenshot
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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adult tickets
A total of 390 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times ti
number of adult tickets sold. How many adult tickets were sold?
The number of adult tickets were sold is 130 tickets.
Given,
In the question:
Total tickets were sold for the school play is 390 tickets.
The number of student tickets sold was two times number of adult tickets sold.
To find the how many adult tickets were sold?
Now, According to the question:
Based on the given conditions:
Let the number of adult tickets be x.
Formulate the condition:
x × (1 + 2) = 390
x × 3 = 390
Simplify
x = 390/3
x = 130
Hence, The number of adult tickets were sold is 130 tickets.
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please help me asap
Given the exponential function f (x) and the logarithmic function g(x), which of the following statements is true?
a. As x→∞, f (x)→∞ and g(x)→∞.
b. As x→∞, f (x)→∞ and g(x)→1.
c. As x→∞, f (x)→3 and g(x)→1.
d. As x→∞, f (x)→3 and g(x)→∞.
HELP!!! ASAP!!! PRE-CALCULUS!!!
Answer:
a
Step-by-step explanation:
Both the exponential and logarithmic functions tend to infinity.
Enter the numb bee that belongs in the green box
this is the answer
210.28
A triangle is inside of a rectangle. The triangle has a height of h and a base of b. Section 1 is to the left of the triangle, and section 2 is to the right.
Look at the drawing of a triangle within a rectangle. The triangle and the rectangle have the same base, b, and height, h.
If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?
square units
Answer:
I think its 40
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Got it right on the assignment.
Hope this helps!!
Bruno had a gross income of $4925 during each pay period last year. If he got
paid monthly, how much of his yearly pay was deducted for FICA?
A. $4521.15
B. $3250.50
C. $3871.05
D. $3841.50
The amount of Bruno's yearly pay deducted for FICA is approximately
A. $4,524.15. The closest option provided is A. $4521.15.
To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.
As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.
Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:
Yearly gross income = $4925 * 12 = $59,100
To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:
Social Security deduction = $59,100 * 6.2% = $3,667.20
Medicare deduction = $59,100 * 1.45% = $856.95
Adding these two deductions together:
FICA deduction = $3,667.20 + $856.95 = $4,524.15
Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.
The closest option provided is A. $4521.15.
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multiplicando √3 por √27 podemos obter a resposta
A-81
B-9
C-3
D-12
Answer:
B
Step-by-step explanation:
ROOT 3 * 3 ROOT 3
9
I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here
Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.
How to determine the corresponding output value for this function?In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.
When x = 1, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(1) = ln(1).
f(1) = 0.
When x = 2, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(2) = ln(2).
f(2) = 0.69314718
When x = 1, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(1) = log₂(1)
g(1) = 0.
When x = 2, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(2) = log₂(2)
g(2) = 1.
In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.
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The sum of a number and 45 plz need the answe
Answer:
n + 45
Step-by-step explanation:
The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.
Hope this helps.
Point A has an x-coordinate of 7 and lies below the x-axis on a circle with a center at (0, 0) and a radius of 8.
To the nearest tenth, what is the y-coordinate for point A?
−4.0
−3.9
−3.8
−3.7
Using the equation y = 25x, if x represents gallons and y represents miles, determine how many gallons of gas would be needed to travel 600 miles.
Answer:
24 gallons
Step-by-step explanation:
So, the question says:
y = miles
x = gallons
and,
y = 25x and y = 600
First, substitute.
600 = 25x
Divide both sides by 25.
600/25 = x
24 = x
24 gallons are used (or needed) to travel 600 miles.
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
Answer:
=31r712827−2412o7407
Step-by-step explanation:
hello im back
i got a headache in Philippines server so i don't wanna come back to that server
Answer:
Hello
Step-by-step explanation:
Help me i will give best answer to correct answer.
Answer:
x=3 and y=3
Step-by-step explanation: