The number of the seat in the 18th row will be 113.
What is the arithmetic sequence?Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
\(\rm a_n = a_1 + (n - 1)d\)
Denise is designing the seating arrangement for a concert, an outdoor theater.
To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats.
Then Denise plans the rest of the seating by solving for how many seats are in row 18.
Then the number of the seat in the 18th row will be given as
a₁ = 11
d = 6
n = 18
Then we have
a₁₈ = 11 + (18 – 1) x 6
a₁₈ = 11 + 17 × 6
a₁₈ = 11 + 102
a₁₈ = 113
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8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night
Step-by-step explanation:
Answer of your question is 800need quick answers please
Answer:
A, E, F, D
Step-by-step explanation:
Done this before
Help me with this problem please.
Answer:
I believe its 7?
Step-by-step explanation:
sorry if this is wrong
Write an equation in Slope Intercept-Form (y=mx+b) slope= 2 y= -5
Answer:
y= 2x-5
Step-by-step explanation:
I just plugged the information into the formula.
what is the inverse of the given relation? y=2x+6
The inverse of our given equation- would be y=x+6/2 and options B is the correct choice.
What is equation?An equation is a mathematical statement that expression the equality of the expression using of the equal sign equation are used to define relationship between differentiation variables can be used to solve for the unknown's values when you problems equation are also used to describe the behavior of the physical system in the represent law of nature.
We have been given an equation y=2x-6 . We are asked to find the inverse of our given equation.
To find inverse of our given equation, we will interchange x and y variables and solve for y as shown below:
x=2y-6
Switch sides:
2y-6=x
Add 6 on both sides:
2y-6+6=x+6
2y=x+6
Divide both sides by 2:
2y/2=x+6/2
y=x+6/2
Therefore, the inverses of our given equation would've be y=x+6/2 and option B is the correct choice.
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Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is?
Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is 1 - 1/k².
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.
This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.
Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;
1 - 1/1.8² = 0.6914
= 69.14%
Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is 1 - 1/k².
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The table shows survey results for 200 patients who had either hip or knee surgeryIf one person is selected randomly, what probability he or she was satisfied, given that he or she had knee surgery? (Round to the nearest tenth of a percent.)
Answer:
Step-by-step explanation:
Answer:
B. 73.7%
Step-by-step explanation:
Usa Tesprep explained
An art museum had 275,760 visitors last year. The museum was open every day of the year except for 5 holidays. How many visitors did the museum have each day, on average?
Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766
Step-by-step explanation:
Can someone please help?
Answer:
b) X3=0+3-x
it should help you answer a
Simplify the expression.
3.1z + 2.1z
(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the expression.)
Answer:
5.2z
Step-by-step explanation:
When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.
3.1 + 2.1 = 5.2
So 3.1z + 2.1z = 5.2z
fill in the missing values in the table
minutes miles
10. 2
8
10
A cat has 242424 whiskers by its nose. A manatee has 252525 times as many whiskers. How many whiskers does a manatee have?
Answer:
61218120600
Step-by-step explanation:
252525 X 242424 = 61218120600
What are the slope and y-intercept of the line?
A scatterplot with age of dog on the X axis and Weight in pounds on the Y axis. There are several dots plotted close together that follow a fairly diagonal path that rises from left to right, along with the line Y equals 1. 33 X plus 2 plotted through the approximate center of the points. The slope is 3 and the y-intercept is 2. The slope is 1. 33 and the y-intercept is 2. The slope is 2 and the y-intercept is 3. The slope is 2 and the y-intercept is 1. 33
The slope and y-intercept of the line is equal to 1.33 and 2 respectively..
The equation is equal to,
Y = 1.33X + 2,
Age of the dog represented by x-axis
Weight in pounds represented by y-axis.
Standard form of the equation with slope 'm' and y-intercept 'c' is written as,
y = mx + c
Compare both the equations we get,
The number next to X is 1.33 is the slope of the line.
That represents how much the Y variable that is weight changes for each unit increase in the X variable age.
Here, the slope of 1.33 indicates that for each additional year in age,
The weight of the dog increases by an average of 1.33 pounds.
The number that is added to the slope = 2.
It is the y-intercept of the line, the value of Y when X is equal to 0.
It means that when the dog is born age = 0.
Its weight is estimated to be 2 pounds.
Therefore, the slope of the line is 1.33 and the y-intercept is 2.
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What shift will occur to the graph given the following equation?
y≤ |x + 2|
Graph will shift 2 units to the left.
Graph will shift 2 units to the right.
Graph will shift 2 units down.
Graph will shift 2 units up
Answer:
Graph will shift 2 units to the left
Gregs mom baked 24 vinnies mom baked 36 brads mom baked twice as much multipley it its 3..2..1.. (24+36)x2=120 hope this helps u!!!!
Gregs's mom baked 24 cookies, while Vinnie's mom baked 36 cookies. Brad's mom baked twice as much as Greg's mom, resulting in a total of 48 cookies. The total number of cookies that were baked is found by adding the number of cookies that each mom baked:
24 + 36 + 48 = 108.
The cookies can be divided into 3 groups of 36, 4 groups of 27, 6 groups of 18, 9 groups of 12, 12 groups of 9, 18 groups of 6, 27 groups of 4, or 36 groups of 3 cookies. Since there are more than 100 words required, let's talk about the importance of fractions and equivalent ratios.
In conclusion, Greg's mom baked 24 cookies, Vinnie's mom baked 36 cookies, and Brad's mom baked 48 cookies, resulting in a total of 108 cookies. The cookies can be divided into fractions or equivalent ratios to distribute them evenly among the children.
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Please helppp, I forgot how to do this
Answer:
Your answer is correct, (-6, -4, 0, 2, 6).
Explanation:
Take the equation 3/2x+8
Then take each number and plug it in for "x".
For example:
3/2(6) + 8 = -1
or you can change the fraction into a decimal to make it easier...
1.5(6)+8=-1
Simplify the following expression. Pls help me. Im a 9th grader that cant algebra correctly.
Answer:
Step-by-step explanation:
i am sorry im in geomatry now and i don'teven know this
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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4d2–15d+9=0 solve for d
Answer:
d = 3 and d = 3/4
Step-by-step explanation:
This is a quadratic eqution. Let's use the quadratic formula to solve it.
If ax^2 + bx + c = 0, then:
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
With a = 4, b = -15 and d = 9, we have:
-(-15) ± √(225 - 4(4)(9) ) 15 ±√81 15 ±9
d = ------------------------------------ = -------------- = -------------- = 24/8 and 6/8
2(4) 8 8
Simplifying these results, we get d = 3 and d = 3/4
surface of a cuboid
Answer:
148 cm2
Step-by-step explanation:
5 * 4 * 2 = 40
6 * 5 * 2 = 60
6 * 4 * 2 = 48
40 + 60 + 48 = 148
Answer:
» 148 cm²Step-by-step explanation:
T.S.A (TOTAL SURFACE AREA) OF CUBOID :
→ 2(lb + bh + lh)
( l = length, b = breadth , h = height )
→ Given :
• Length (l) = 6cm
• Breadth (b) or width = 4cm
• Height (h) = 5cm
Total Surface area of cuboid :
• 2( 6×4+ 4×5+ 5×6) cm²
• 2 ( 24 + 20 + 30 ) cm²
• 2 ( 74 ) cm²
• 148 cm²
A regular pentagon is centere about the orgin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?.
A clockwise rotation of 144° about the origin will map the pentagon onto itself. Option(c) is the correct answer.
The number of sides (n) of the pentagon is:
n =5
The pentagon will not be plotted onto itself when reflected across the x-axis because the pentagon has 5 sides (an odd number of sides).
To draw the pentagon onto itself, the pentagon has to be rotated.
The angle of rotation is:
θ \(= \frac{360}{n}\)
θ \(=\frac{360}{5} = 72\)
Other possible angles of rotation must be multiple of 72. i.e.
θ= 72, 144, 216, 288...
Hence, a clockwise rotation of 144° about the origin will map the pentagon onto itself.
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The complete question is:
A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?
a. A reflection across line m
b. A reflection across the x-axis
c) A clockwise rotation of 144 degrees about the origin
If f(x)=x^2-2x find f(-3)
in a standard television set, the screen height is 0.75 times the screen width. if a television set measures 26 inches along the diagonal, what is the screen width?
The width of a standard television set is equal tp 16.8 inches.
We will solve this by using the Pythagorean theorem which is below:
Or we can say
w = width
h = height
d = diagonal measure
We know the height is 0.75 times the width so 0.75w. We also know d = 26 , is our diagonal measure.
w = need to find
h = 0.75w
d = 26
\(w^2 + h^2 = d^2\\w^2 + 0.75w^2 = 26 ^2\\1.5625 w^2 = 441\\w^2 = 441/1.5625\\w ^2 = 282.24\)
w =16.8
Therefore width of a standard television set is 16.8 inches.
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. [Equations]
1/6x =4
Answer:
youre answer is here I hope it's right
x=24
What are the three common elements of an optimization problem? a. objectives, resources, goals.
b. decisions, constraints, an objective. c. decision variables, profit levels, costs.
d. decisions, resource requirements, a profit function.
The three common elements of an optimization problem are b. decisions, constraints, and an objective.
Decisions refer to the choices or actions that can be taken in order to achieve a specific goal. Constraints are the limitations or restrictions that must be considered when making decisions. An objective is the goal that needs to be achieved, and it can be either maximizing or minimizing a specific quantity. In an optimization problem, the task is to find the optimal decision variables that satisfy the given constraints and achieve the objective.
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A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
3. Pilihan ganda30 detik1 ptQ. How does the arrival of George Murchison change the mood of the scene?George's arrival changes the mood because he doesn't take part in the danceGeorge's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African pastGeorge's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their houseGeorge's arrival changes the mood because he had a gun
Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past
In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.
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Complete question:
How does the arrival of George Murchison change the mood of the scene?
A) George's arrival changes the mood because he doesn't take part in the dance
B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past
C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house
D) George's arrival changes the mood because he had a gun
Some vinyl records (let's call them "Oldies") rotate at the rate of 78\,\text{rpm}78rpm78, start text, r, p, m, end text (revolutions per minute). The chart below shows revolutions per minute for three different tracks on another type of vinyl record (called "Goodies"). Which has a greater rate of revolutions per minute, Oldies or Goodies?
Completed Question
The chart for the three different tracks on another type of vinyl record (called "Goodies") is:
\(\left|\begin{array}{c|c|c|c}&$Track 1 &$Track 2 &$Track 3\\$Minutes&3&4&5\\$Revolutions&135&180&225\end{array}\right|\)
Answer:
Oldies
Step-by-step explanation:
For the three tracks (Goodies), we determine the revolution rate per minute.
\(\text{Revolution rate per minute =}$Number of Revolutions \div $Number of Minutes\)
\(=\dfrac{135}{3} =\dfrac{180}{4} =\dfrac{225}{5}=45$ revolutions per minute\)
Oldies = 78 rpm
Goodies = 45 rpm
Since 78 is greater than 45, the Oldies have a greater rate of revolutions per minute.
Answer:
The answer is oldies.0
Step-by-step explanation:
I wanted to give a short answer from the other lad here since I was a little bit confused.
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2
Answer:
The answer is 10.2-y=32.6 D. y+32.6=10.2
Step-by-step explanation:
Given : The difference between 32.6 and a number is 10.2
Let the number be : y
⇒ 32.6 - y = 10.2
⇒ 32.6 minus y = 10.2
Based on statistics from a worldwide health organization, in 2005 there were 31. 6 million people worldwide living with a certain disease, and 2. 4 million deaths from the disease. By , 2015 the number of people living with the disease had fallen to 27. 3 million, and 1. 2 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw
There was a decrease of approximately 13.6% in the number of people living with the disease from 2005 to 2015.
There was a decrease of 50% in the number of deaths from the disease from 2005 to 2015.
To calculate the percent change, we'll use the following formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Let's calculate the percent change for each statistic:
1. Number of people living with the disease:
Percent Change = ((27.3 million - 31.6 million) / 31.6 million) * 100
≈ (-4.3 million / 31.6 million) * 100
≈ -0.136 * 100
≈ -13.6%
Conclusion: There was a decrease of approximately 13.6% in the number of people living with the disease from 2005 to 2015.
2. Number of deaths from the disease:
Percent Change = ((1.2 million - 2.4 million) / 2.4 million) * 100
≈ (-1.2 million / 2.4 million) * 100
≈ -0.5 * 100
≈ -50%
Conclusion: There was a decrease of 50% in the number of deaths from the disease from 2005 to 2015.
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