Answer:
C
Step-by-step explanation:
A. {(1,3), (3,5), (5,7), (7,5), (5,3)} x value 5 repeats
B. {(6, 1), (6,2), (6,3), (6,4),(6,5)} x vlaue 6 repeats
C. {0, 1), (2, 1), (4, 1), (6, 1), (8, 1)} no x values repeat
D. {(1,3), (2,3), (3, 3), (3, 2), (2, 1)} x value 2 and 3 repeat
Convert the angle (θ=180 degrees) into radians
Answer: π
Step-by-step explanation:
To convert from degrees to radians, you want to multiply the degrees by (π/180). In this case, we would multiply 180° by (π/180).
\(180*\frac{\pi }{180} =\pi\)
1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)
A) Associative (addition)
B) Associative (multiplication)
C) Commutative
D) Distributive
Answer:
d: distributive
Step-by-step explanation:
8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses out making it distributive.
Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0. R'(x) = 0.06x2 – 0.05x + 152 p(x) = 0
The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
Given that,
We have to find for the marginal revenue function, locate the demand function.
Remember that the income is zero if no things are sold:
R'(x) = 0.06x² - 0.05x + 152
p(x) is what.
We know that,
MR = dTR/dx = 0.06x² - 0.05x + 152
Integrating the marginal revenue function , we get total revenue function,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x
= (0.06x³)/3 - (0.05x²)/2 + 152 x
TR = 0.02 x³ - 0.025 x² + 152 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 152 x
P = ( 0.02 x³ - 0.025 x² + 152 x)/x
P = 0.02x² -0.025x + 152
Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
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A high school teacher earns an average bi-weekly net pay of $1,541.65. Which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for entertainment is between 5% and 10%?
The compound inequality that correctly shows the amount of money, m, the teacher can spend if the monthly budget for entertainment is between 5% and 10% is given as follows:
$154.17 ≤ m ≤ $308.33.
How to obtain the amounts that can be spent?The total bi-weekly pay of the teacher is given as follows:
$1,541.65.
A bi-weekly pay means that the teacher is paid twice a month, hence, applying the proportion, his monthly payment is given as follows:
2 x 1541.65 = $3,083.3.
The lowest amount that can be spent on entertainment is 5% of that, hence:
0.05 x 3083.3 = $154.17.
The highest amount that can be spent on entertainment is 10% of that, hence:
0.1 x 3083.3 = $308.33.
These two values are the bounds of the compound inequality.
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A floor for a 4-meter square shed must be fabricated. The area of the floor is _____.
The correct answer is B. \(16 m^{2}\)
Explanation:
In a flat squared surface such as the one of a shed, the area is calculated by multiplying two sides. In this case, the side is 4 meters long, and therefore the formula to calculate the area is A (area) = side x side
A = 4 meters x 4 meters
A= (4 x 4) (m x m)
A= 16 \(m^{2}\)
This means the correct answer is B because this shows the correct number of meters in the area (16) and using square meters or \(m^{2}\) is the correct unit to express the area or measurement of a surface.
Substitute 8 for x and evelute the expression below (x-+6)-2 ?
(a) Write these in order of size starting with the smallest 0.8 78% ⅞ 0.71
Answer:
0.71, 78%, 0.8, \(\frac{7}{8}\)
Step-by-step explanation:
78% = 0.78
7/8 = 0.875
3x - 5y = 15
x-intercept =
y-intercept =
Answer:
x-intercept is 5
y-intercept is -3
Step-by-step explanation:
For the x-intercept:
\(3x - 5(0) = 15\)
\(3x = 15\)
\(x = 5\)
For the y-intercept:
\(3(0) - 5y = 15\)
\( - 5y = 15\)
\(y = - 3\)
Answer:
Y intercept= -3
x-intercept = 5
Step-by-step explanation:
So you would want to get your y alone for it to be in slome intercept form (y=mx+b) so you would:
1. Subtract 3x from both sides to get -5y= -3x+15
2. then you would divide each side by -5 to get y= \(\frac{3}{5}\) x -3
And since in slope intercept form, b= the y-intercept, The y-intercept =-3 and to find the x-intercept you would have to solve for y=0 in your new-found equation.
sorry if this was long
What is the horizontal difference between (2, 4) and (-1, 0)?
Answer:
3
Step-by-step explanation:
Bob makes his first $900 deposit into an IRA earning 7.6% compounded annually on his 24th birthday and his last $900 deposit on his $35th birthday (12 equal deposits in all). With no additional deposits, the money in the IRA continues to earn 7.6% interest compounded annually until Bob retires on his 65th birthday. How much is in the IRA when Bob retires?
Answer:
Total amount = $150160.24
Step-by-step explanation:
The amount deposit by the Bob annually (annuity) = $900
Number of years for which annuity made = 12 years
Inerest rate = 7.6% or 0.076
After 35 years the amount grows at the rate of 7.6% till the age of 65, the total number of years = 30 years.
Now we have to find the total amount after 65 years.
Total amount = annuity [((1+r)^n – 1) / r] × (1+r)^n
Total amount = 900[((1+ 0.076)^12 – 1) / 0.076] × (1+ 0.076)^30
Total amount = $150160.24
Robert runs 3 times a week for 12 weeks. Each run is 4 miles. How many total miles will he run during 12 weeks?
Answer:
144
Step-by-step explanation:
first you gotta do 3x4 which is 12 then 12x12. and then you get 144.
Robert will run a total of 144 miles during the 12 weeks.
Given:
Robert runs 3 times a week for 12 weeks.
So, total number of runs will be:
= 3 runs/week * 12 weeks
= 36 runs
Since each run is 4 miles, multiply the total number of runs by the distance per run:
= 36 runs * 4 miles/run
= 144 miles
Therefore, Robert will run a total of 144 miles.
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Need help ASAP! Show work if you can it’s completely fine if not tho
Answer:
the answer is 133
Step-by-step explanation:
we do substitution
2*3^2=18
3^3=27
5(27-4)=115
27+115=133
what is the maximum of the sinusoidal function? pls help me pls!
The maximum of the sinusoidal function is 5.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
The maximum point of the sinusoidal function is the point where the function is at its highest and lowest on the y-axis.
We see that the sinusoidal function y-coordinate is at 1 as its lowest point and 5 as its maximum point.
So,
The maximum value is 5.
Thus,
The maximum of the sinusoidal function is 5.
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Suppose you revolve the plane region completely about the given line to sweep out a solid of revolution. Describe the solid. Then find its surface area in terms of pi.
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete, the complete question is Suppose you revolve the plane region completely about the given line to sweep out a solid of revolution. Describe the solid. Then find its surface area in terms of pi.
i) about the y axis
ii) about the x axis
Also the image is attached below.
Answer:
i) about the y axis
If it is revolved about the y axis, the solid produced is a cone with a radius of of 4 units (r = 4) and a height of 3 units (h = 3). The surface area of the cone is:
Surface area = πr (r + √(r² + h²)) = π × 4 (4 + √(4² + 3²)) = 4π (4 + √25) = 4π (4 + 5) = 4π × 9 = 36π unit²
ii) about the x axis
From the image attached, If it is revolved about the x axis, the solid produced is a cone with a radius of of 3 units (r = 3) and a height of 4 units (h = 4). The surface area of the cone is:
Surface area = πr (r + √(r² + h²)) = π × 3 (3 + √(4² + 3²)) = 3π (3 + √25) = 3π (3 + 5) = 3π × 8 = 24π unit²
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
It would take \(2.7\) seconds, correct to 1 decimal place/nearest tenth.
Step-by-step explanation:
Step 1: Understanding the formula
The formula is given as \(h=16t^{2}\), where \(h\) represents the height, and \(t\) represents the time.
Step 2: Substituting and solving
The question asks for the time that would take when the height is \(117~\text{feet}\).
So, substitute \(117\) for \(h\) in the formula, since \(h\) denotes the height:
\(h=16t^{2}\\117=16t^{2}\)
Now, let's solve the equation to find the time, \(t\):
\(117=16t^{2}\\\\\text{Divide by 16 on both sides of the equation:}\\\frac{117}{16}=\frac{16t^{2}}{16}\\\\\text{Simplify:}\\7.3125=t^{2}\\\\\text{Square root both sides of the equation:}\\\sqrt{7.3125}=\sqrt{t^{2}}\\\\\text{Calculate:}\\2.7 \approx t\\\\\text{Rearrange the equation:}\\t\approx2.7\)
So, it takes about \(2.7\) seconds to travel \(117\) feet, according to the formula.
Round 7605 to the nearest hundred.
Answer:
Your answer would be 7,600.
Step-by-step explanation:
7,605 rounded to the nearest hundred would be 7,600 because:
The 7 is the thousands.
The 6 is the hundreds.
The 0 is the tens
The 5 is the ones.
So, we need to find which number makes sense to round. Is 605 closer to 600 or 700? 600. So, we have: 7,600
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What are the solutions to the inequality (x-3)(x=5)greater than or equal to 0
The solution of the inequality (x-3)(x-5) ≥ 0 is union of two intervals
(-∞,3] or [5,∞) that is x ≥5 or x≤3
What is an inequality and how to solve it?An inequality is a statement that compares two expressions using ≤, ≥, <, > .
We can solve an inequality by adding same number to both sides or by subtracting same number from both side. While adding or subtracting the sign of the inequality will not change.
Given inequality (x-3)(x-5) ≥ 0
It generates two cases either case1 is true or case 2.
Case1. (x-3)(x-5) ≥ 0 when (x-3) ≥0 and (x-5)≥0
⇒(x-3) ≥0 and (x-5)≥0
⇒ x ≥ 3 and x ≥ 5
⇒ x ∈ [3,∞) and x∈ [5,∞)
⇒ x ∈ [3,∞) ∩[5,∞)
⇒ x ∈ [5,∞)
∴ x is greater than or equal to 5
Case 2: (x-3)(x-5) ≥ 0 when (x-3) ≤0 and (x-5)≤0
⇒(x-3) ≤0 and (x-5)≤0
⇒ x ≤3 and x ≤ 5
⇒ x ∈ (-∞,3] and x∈ (-∞,5]
⇒ x ∈ (-∞,3] ∩ (-∞,5]
⇒ x ∈ (-∞,3]
∴ x is less than or equal to 3
Solution of the given inequality is case 1 or case 2
⇒ x ∈ [5,∞) or x ∈ (-∞,3]
⇒ x x ∈ (-∞,3] ∪ [5,∞)
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Customers of an internet service provider connect to the internet at the average rate of 12 new connections per minute. Connections are modeled by a Binomial counting process.
(a) What frame length Δ gives the probability 0.15 of an arrival during any given frame?
(b) With this value of Δ, compute the expectation and standard deviation for the number of seconds between two consecutive connections.
With a frame length of 1, the expectation is 5 seconds and the standard deviation is approximately 3.464 seconds for the number of seconds between two consecutive connections.
(a) To determine the frame length Δ that gives a probability of 0.15 of an arrival during any given frame, we need to consider the Binomial counting process and its probability distribution.
In a Binomial distribution, the probability of success (an arrival) is given by p, and the probability of failure (no arrival) is given by q = 1 - p. In this case, p = 12 connections per minute.
We can use the cumulative distribution function (CDF) of the Binomial distribution to find the frame length Δ. The CDF gives the probability of having k or fewer arrivals in a given number of frames.
Using a binomial probability table or a calculator, we find that when p = 0.15, the corresponding value of k is 1. Therefore, the frame length Δ that gives a probability of 0.15 of an arrival during any given frame is 1 frame.
(b) With a frame length Δ of 1, we can compute the expectation (mean) and standard deviation for the number of seconds between two consecutive connections.
The average rate of connections is 12 per minute. To find the average time between two consecutive connections, we take the reciprocal of the rate: 1/12 minutes per connection.
To convert minutes to seconds, we multiply by 60: (1/12) * 60 = 5 seconds.
Therefore, the expectation (mean) for the number of seconds between two consecutive connections is 5 seconds.
The standard deviation can be calculated using the formula for the standard deviation of a Poisson process, which is the limit of the Binomial distribution as the number of trials becomes large. For a Poisson process, the standard deviation is equal to the square root of the average rate: √(12) ≈ 3.464 seconds.
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ILL MARK BRAINLIESIT
Multiply the top equation by 3 and the bottom equation by 2.
Then, solve the system using elimination.
Answer:
13x-2y=25
4x+3y=-14
39x-6y=75
8x+6y=-28
47x=47
x=1
If x=1, then:
4(1)+3(y)=-14
4+3y=-14
3y=-18
y=-6
So the answer is (1,-6)
Let me know if this helps!
Write an equation in slope-intercept form for the line that has a slope of -1/3 and passes through (-6, 1).
A. y=-1/3x+3
B. y=1/3x-1
C. y=-1/3x-1
D. y=6x-1/3
Answer:
c
Step-by-step explanation:
Jean makes a 15% commission on any clothing that she sells. Jean sold $50.00 worth of clothes to a customer. How much was her commission?
Answer:
$7.50
Step-by-step explanation:
15% of $50 is 7.50, so she or he made $7.50 from that piece of clothing
A. 569 x 102 = 569,000
B. 569 x 10 = 56.9
C. 103 x 569 = 569,000
D. 102 x 569 = 5,690
Answer:
A: False B: False C: False D: False
Step-by-step explanation:
569x 102 = 58038
569x 10 = 5690
103x 569 = 58607
102x 569 = 58038
2.4 ft x 1.8 ft x 1.2 ft=
Answer: 5.184 ft
Step-by-step explanation:
Find the slope or i'm maybe probably maybe most definitely gonna fail
I wasn't paying attention in class...
Therefore, the slope of the line passing through the points (0, 3) and (2, 6) is 3/2.
What is slope?In mathematics, the slope refers to the measure of steepness or inclination of a line. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between those points. In other words, the slope of a line is the change in y divided by the change in x between any two points on that line. The slope can be positive, negative, or zero, and it determines the direction and the steepness of the line. The slope is an important concept in algebra, geometry, and calculus, and it is used to describe many real-world phenomena, such as the velocity of an object, the rate of change of a function, and the growth or decline of a population.
Here,
To find the slope of the line passing through the points (0, 3) and (2, 6), we can use the formula:
slope = (change in y) / (change in x)
So, we have:
slope = (6 - 3) / (2 - 0)
slope = 3 / 2
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the given data shows monthly cell phone bills for the last year. $71, $66, $81, $53, $64, $71, $68, $45, $50, $61, $63, $75 select the option that shows the correct mean, median, and mode.
The correct option is a. mean: $64 median: $65 mode: $71, the mean is the average of all the values in a data set.
To calculate the mean, add up all the values and then divide by the number of values. In this case, the mean is $64.
The median is the middle value in a data set when the values are arranged in ascending or descending order. In this case, the median is $65.
The mode is the most frequently occurring value in a data set. In this case, the mode is $71.
Here is a table of the data with the mean, median, and mode calculated:
Value | Mean | Median | Mode
------- | -------- | -------- | --------
$71 | $64 | $65 | $71
$66 | | |
$81 | | |
$53 | | |
$64 | | |
$71 | | |
$68 | | |
$45 | | |
$50 | | |
$61 | | |
$63 | | |
$75 | | |
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Please, please help me!
Answer:
X in.
Step-by-step explanation:
if a circle passe though point (-4,2) and is tangent to the x-axis at (2,0), determine the coordinates of its center.
Please help me with this
Answer:
1/6 for white and 1/2 for black
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
4/15
Step-by-step explanation:
There are 6 white+4black = 10 marbles in the bag
P (white) = white marbles / total marbles = 6/10 = 3/5
We keep the marble
There are 5 white+4black = 9 marbles in the bag
P (black) = black/total = 4/9
P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15
1) There were 11 bales of hay in the barn. Jason stacked more bales in the barn
today. There are now 79 bales of hay in the barn. How many bales did
he store in the barn?
Answer:
68
Step-by-step explanation:
79 - 11 is 68, so I think 68 is the answer.
Light passes from material A, which has an index of refraction of 4/3 , into material B, which has an index of refraction of 5/4...(please show work) Part a) Find the ratio of the speed of light in material A to the speed of light in material B.(Va/Vb=___)
An index of refraction is the ratio of the speed of light in a vacuum to the speed of light in a material. In other words, it's a measure of how much a material can slow down the speed of light. When light passes from one medium to another with a different index of refraction, it bends or refracts.
The ratio of the speed of light in material A to the speed of light in material B can be found by using the formula
V = c/n,
where V is the speed of light in the medium, c is the speed of light in a vacuum, and n is the index of refraction.
We can write this formula as V = c * (1/n).
So, the ratio of the speed of light in material A to the speed of light in material B can be found as follows:
Va/Vb = (c/4/3) / (c/5/4) = (5/4) / (4/3) = 15/16
Therefore, Va/Vb = 15/16.
An index of refraction is the ratio of the speed of light in a vacuum to the speed of light in a material. In other words, it's a measure of how much a material can slow down the speed of light. When light passes from one medium to another with a different index of refraction, it bends or refracts.
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