The point slope equation with the point (x1, y1) is given as (y - y1) = m (x - x1).
What is point slope equation?As a line has length but no width, it is a one-dimensional figure in geometry. A line is constructed from a collection of points that can be stretched indefinitely in opposite directions. In a two-dimensional plane, it is determined by two points. In a two-dimensional coordinate plane, there are various ways to express line equations. The general or standard form of the equation of a line, the slope-intercept form, and the point-slope form are the three most often used ways. The point-slope form, as its name implies, combines a line's point with the straight-line slope. The equations of infinite lines with a specified slope can be written, however when we specify that the line passes through a certain point, we obtain a singular straight line.
The point slope equation with the point (x1, y1) is given by the formula:
(y - y1) = m (x - x1)
Here, (x1, y1) are the coordinates of the point on the graph.
m is the slope of the line.
Hence, the point slope equation with the point (x1, y1) is given as (y - y1) = m (x - x1).
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Solve for x. 6/-4.5=8/4x
The value of x when we solve the equation 6/ -4.5 = 8/4x is x = - 1.5.
What is equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. Another well formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's equivalents in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.
The given equation is:
6/ -4.5 = 8/4x
Using the method of cross multiplication or butterfly method of multiplication we have:
6(4x) = (8)(-4.5)
24x = -36
x = -1.5
Hence, the value of x for the equation 6/ -4.5 = 8/4x is x = - 1.5.
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Determine the limit using what you know about special limits:
The limits represented by [tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right)[/tex] has its value to be 1/13
How to determine the limitsFrom the question, we have the following parameters that can be used in our computation:
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right)[/tex]
To determine the limits, we make use of the L'Hôpital's rule
Using the above as a guide, we have the following:
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \lim _{x\to 0}\left(\frac{\cos\left(x\right)}{13}\right)[/tex]
Substitute the known values in the above equation, so, we have the following representation
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \frac{\cos\left(0\right)}{13}\right)[/tex]
This gives
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \frac{1}{13}\right)[/tex]
Hence, the value is 1/13
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Blood Pressure
The pressure P (in millimeters of mercury) against the walls of
the blood vessels of a patient is modeled by
P(t) = 100-20cos ((8•(pie))/3)
where t is time (in seconds).
1) Graph the model and state any important key features in
context of the problem. Period, Ascontops, Doman, Range. Amplitude
What does the period tell
2) What is the period of the model?
you about this situation? The Change
3) What is the amplitude of the model? What does it tell you
about this situation?
4) If one cycle of this model is equivalent to one heartbeat,
what is the pulse of this patient?
5) A physician wants this patient's pulse rate to be 64 beats
per minute or less. What should the period be? What
should the coefficient of t be?
6) what
ar Some ways we can use this
Function to help others/benefit
Society?
Explain.
The solution is, the correct option is, A.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The translation of a sin function can be modeled by the form: P(t)=Asin(Bx+C)+D
Where:
A = the curve's amplitude (highest and lowest points)
The period = (2[pi])/ |B|
The phase shift (horizontal shift) = (-C)/B
D = vertical shift
By looking at the function we are given: P(t)=30sin(2[pi]t)+100,
We can see that the amplitude (the curve's highest and lowest points) = 30.
The phase shift (C) or in this case 't' = 0 (so there is no horizontal shift)
The period = 1
And D (the vertical shift) = 100
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8 + v = 26 v = ?
pllljj 3hhyyhtvggvtgv4tr bg gbbrgvrtgtvgvtvt5b5tgvt5btbt
Answer:
v=0.32
Step-by-step explanation:
.
This time, choose the figure that is a cylinder.
Answer: D.
Step-by-step explanation: It's just a cylinder how can you not see
Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x) = 6/x, c = 1 Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x) = ln(x), c = 1 Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) f(x) = ex9/9
Answer:
Step-by-step explanation: sometimes it is hard to do in school because I'M and 15th-grade class and i got to take my time
Can someone explain to me why I got this question wrong? The reasoning for my answer (2, 3) for the vertex is because in the setup for the equation f(x) = a( x - h ) + k, x is subtracted from h. If h was negative, it would be adding instead because it'd be a negative and a negative. So I know h is positive. Am I misunderstanding the question? Will give brainliest!
Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.
Correcting an Error in Identifying the Vertex and Direction of a Parabola.You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,
we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).
However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.
Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.
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what is P(odd or greater than 5)
A number greater than 5 is: P(odd or greater than 5) = 1/2 + 1/6 = 2/3
It depends on the context of the probability question. Here are a few possibilities:
If you're rolling a fair six-sided die, then the probability of rolling an odd or a number greater than 5 on a single roll is:
P(odd or greater than 5) = P(odd) + P(greater than 5) - P(odd and greater than 5)
P(odd) = 3/6 = 1/2 (because there are three odd numbers out of six possible outcomes)
P(greater than 5) = 1/6 (because there is only one number greater than 5)
P(odd and greater than 5) = 0 (because there is no number that is both odd and greater than 5)
So, the probability of rolling an odd or a number greater than 5 is:
P(odd or greater than 5) = 1/2 + 1/6 = 2/3
If you're dealing with a continuous random variable (like the height of people), then the probability of a value being odd or greater than 5 doesn't make sense. However, if you're dealing with a discrete random variable with a known distribution (like the number of customers who enter a store), you can calculate the probability of this event based on the distribution.
In general, it's important to define the context of the probability question and the underlying probability distribution to answer the question properly.
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Jimmy, Kimmy, and Timmy are each thinking of a prime number. The product of Jimmy's and Kimmy's prime is 34. Kimmy's and Timmy's multiple to 85. What is the sum of their 3 prime numbers
Jimmy, Kimmy, and Timmy are each thinking of a prime number. The product of Jimmy's and Kimmy's prime is 34. Kimmy's and Timmy's multiple to 85. What is the sum of their 3 prime numbers?
The sum of their 3 prime numbers is 24.
What is the sum of their 3 prime numbers?
Let's start by finding the prime numbers that Jimmy, Kimmy, and Timmy are thinking of.
We know that the product of Jimmy's and Kimmy's prime is 34. Since 34 is not a prime number, it must be the product of two prime factors.
The only way to factor 34 as a product of two primes is 2 x 17.
So we know that Jimmy's prime is either 2 or 17, and Kimmy's prime is the other one. We also know that Kimmy's and Timmy's primes multiply to 85. Again, 85 is not a prime number, so it must be the product of two prime factors.
The only way to factor 85 as a product of two primes is 5 x 17.
Therefore, we know that Timmy's prime is 5.
So the three primes are 2, 17, and 5.
The sum of these three primes is 2 + 17 + 5 = 24.
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I'LL MARK THE BRAINLIEST
A car salesperson had $85,460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3,485 in commission from those sales combined.
What is the salesperson's commission as a percent of the total monthly sales?
commission percentage = 2.18%
What is percentage ?Percentage is a way of expressing a proportion or a fraction as a fraction of 100. It is denoted by the symbol "%". For example, if there are 50 red marbles out of 100 marbles in a jar, the percentage of red marbles in the jar would be 50%.
To find the salesperson's commission as a percent of the total monthly sales, we first need to calculate the total monthly sales for September and October combined:
Total monthly sales = September sales + October sales
Total monthly sales = $85,460 + $74,570
Total monthly sales = $160,030
Next, we can divide the commission earned by the total monthly sales and multiply by 100 to get the commission as a percentage:
Commission percentage = (Commission earned / Total monthly sales) x 100
Commission percentage = ($3,485 / $160,030) x 100
Commission percentage = 2.18%
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whats the value of z?
Answer:
2.7 cm
Step-by-step explanation:
We have the relationship
tan 56 = 4/z
Therefore z = 4/ (tan 56) = 4/1.48256 = 2.698
= 2.7 cm correct to one decimal place
A weight hanging from a spring bobs up and down starting from a lowest height of 4 feet to a maximum height of 10 feet. It completes one full cycle in 3 seconds (that means at time t=0 the weight is at the height of 4 feet and at the time of t=3 seconds the weight is back at that same height again) a. Find a model () = (( − )) + D describing the motion of the weight. Show all work and include three values checking the model is correct. b. What will be the height of the weight at t=1.5 seconds? c. Draw a graph of the model for two periods.
The weight's height at t=1.5 seconds is roughly 8.07 feet.
a. The equation for simple harmonic motion can be used to find a model that describes the motion of the weight:
Acos(wt + phi) + D = y(t)
A represents amplitude, w represents angular frequency, phi represents phase shift, and D represents vertical shift.
The amplitude A is equal to half the difference between these two heights because we know the weight oscillates between a minimum height of 4 feet and a maximum height of 10 feet:
A = (10 - 4)/2 = 3
The weight completes a full cycle in three seconds, hence the weight's angular frequency is:
T = 2pi/3 and w = 2pi
where T, or the period, denotes the length of time for one complete cycle.
We can set phi to 0 because the weight begins at the lowest height of 4 feet. Last but not least, the vertical shift D is just the average of the highest and lowest heights:
D = (10 + 4)/2 = 7
Combining everything, we obtain:
Y(t) equals 3cos((2pi/3)*t) + 7
b. By simply entering t=1.5 into our model, we can determine the height of the weight at t=1.5 seconds:
3cos((2pi/3)*1.5)*y(1.5) + 7 + 8.07
Hence, the weight's height at t=1.5 seconds is roughly 8.07 feet.
c. We can plot y(t) for t ranging from 0 to 6 seconds in order to graph the model for two periods (two full cycles). The graph is shown here:
code
|
10 | *
| * *
| * *
| * *
7 | * *
| * *
| * *
| * *
4 | * *
+-----------------------------
0 1 2 3 4 5
The graph demonstrates that the weight oscillates sinusoidally with a period of 3 seconds between 4 and 10 feet. In contrast, the minimum height is reached at t=0 seconds and the maximum height is obtained at t=1.5 seconds and t=4.5 seconds.
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Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form
Point-slope form: y - (-2) = -4(x - 2)
Slope-intercept form: y = -4x - 6
Own integers:
Point-slope form: y - 2 = -2(x - 4)
Slope-intercept form: y = -2x - 6
What does point slope form mean?Point slope form is a type of linear equation that describes the relationship between two points on a line. It is written in the form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. Point slope form is used to find the equation of a line when given its slope and one point on the line. It can also be used to find the slope of the line when given two points on the line.
For example, if the point (2, 3) is given and the slope is 4, the point-slope form of the equation would be y - 3 = 4(x - 2).
The point-slope form of an equation of a line is an equation of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this equation, (x1, y1) = (2, -2) and m = -4, so the point-slope form of the equation is y - (-2) = -4(x - 2).
The slope-intercept form of an equation of a line is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept of the line. In this equation, m = -4 and b = -6, so the slope-intercept form of the equation is y = -4x - 6.
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When using the number line you represent subtraction of a negative number with an arrow going to the ______.
PLS HELP IM SO CONFUSED
Answer:
When using the number line, you represent subtraction of a negative number with an arrow going to the right. The direction of the arrow indicates the movement of the number line towards the positive side, which is the opposite of the direction of a negative number. Subtraction of a negative number is equivalent to addition of a positive number, so the arrow going to the right represents the addition of the absolute value of the negative number. For example, if you are subtracting -5 from 10, you can represent this on a number line by starting at 10 and drawing an arrow to the right that goes 5 units, ending at 15.
Answer:
When using the number line to represent subtraction of a negative number, you would represent it with an arrow going to the right (or in the positive direction).
For example, let's say you want to represent the following subtraction on a number line:
5 - (-3)
You can start at 5 on the number line and then move to the left by 3 units, since you are subtracting a negative number. However, instead of leaving the arrow pointing to the left to represent the subtraction, you can turn it around and point it to the right, which is the positive direction. This means that you end up at a point that is 8 units to the right of 0 on the number line, which represents the answer of 8.
So, the arrow would go to the right to show the subtraction of a negative number on the number line.
Miss Chen bought X number of jerseys for the new members of the volleyball team the cost for the X number of jerseys including $3.99 shipping was $82.49 each jersey cost $15.70 there is no sales tax on this purchase.
Part A which equation can be used to find x,the total number of jerseys purchased?
A)3.99(x+15.70)=82.49
B)15.70x - 3.99 = 82.49
C)82.49-3.99 + 15.70=82.49
D)15.70x + 3.99 = 82.49
Part B using mathematical reasoning explain why the other three equations are incorrect.
Pazzi how many total jerseys in Ms Chen purchase. SHOW YOUR WORK
Answer:______ Shirts
The equation that can be used to find x, the number of jerseys is 82.49 = 15.70x + 3.99
The other three equations are incorrect because the equation should be represented by total cost equals cost of each shirt multiplied by number of jerseys plus shipping cost.
Ms Chen purchased 15 jerseys.
How to write equations?Cost of x jerseys including shipping = $82.49
Cost of shipping = $3.99
Cost of each jersey = $15.70
82.49 = 15.70x + 3.99
82.49 - 3.99 = 15.70x
78.50 = 15.70x
x = 78.50 / 5
x = 5
In conclusion, the number of jerseys bought is 5.
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Given (x – 7)2 = 36, select the values of x.x = 13x = 1x = –29x = 42
Answer:
The values of x are 1, 13, -29, and 42.
You are in charge of production of a very in-demand part. Your clients have an expectation that the probability of a defective part is under 10%. The table below summarizes part production at five of your facilities. Find the following probabilities.
Rejected Parts Good Parts Total
Factory A 120 3380 3500
Factory B 125 2575 2700
Factory C 210 4790 5000
Factory D 712 3988 4700
Factory E 120 3480 3600
Total 1287 18213 19500
Write your answer as a percent rounded to one decimal place.
1. What is the probability that a randomly selected part is defective?
2. What is the probability that a randomly selected part is not defective?
3. What is the probability that a part came from Factory A?
Be careful on the following.
4. What is the probability of a defect, knowing the part came from Factory A?
5. What is the probability of a defect, knowing the part came from Factory B?
6. What is the probability of a defect, knowing the part came from Factory C?
7. What is the probability of a defect, knowing the part came from Factory D?
8. What is the probability of a defect, knowing the part came from Factory E?
9. Based upon these probabilities, which factory should be investigated more?
Here is the recent production history from the factory you flagged as a problem. It shows each shift’s production and number of rejected parts.
Shift Rejected Parts Good Parts Total
1 51 549 600
2 72 778 850
3 50 600 650
4 57 453 510
Total 230 2380 2610
10. For this time period, what is the probability of a defect for this factory?
11. Investigate the probability of a rejected part, knowing that it came from a known shift. Report which shift appears to be the biggest contributor.
The probability of a rejected part, knowing that it came from a known shift can be calculated as follows:
Shift 1: (51/600) x 100% = 8.5%
Shift 2: (72/850) x 100% = 8.5%
Shift 3: (50/650) x 100% = 7.7%
Shift 4: (57/510) x 100% = 11.2%
The probability that a randomly selected part is defective is (1287/19500) x 100% = 6.6% (rounded to one decimal place).
The probability that a randomly selected part is not defective is (18213/19500) x 100% = 93.4% (rounded to one decimal place).
The probability that a part came from Factory A is (3500/19500) x 100% = 17.9% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory A is (120/3500) x 100% = 3.4% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory B is (125/2700) x 100% = 4.6% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory C is (210/5000) x 100% = 4.2% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory D is (712/4700) x 100% = 15.1% (rounded to one decimal place).
The probability of a defect, knowing the part came from Factory E is (120/3600) x 100% = 3.3% (rounded to one decimal place).
Based upon these probabilities, Factory D should be investigated more as it has the highest probability of a defective part among all the factories.
The probability of a defect for the flagged factory is (230/2610) x 100% = 8.8% (rounded to one decimal place).
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Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
This shows that y is proportional to x with a constant of proportionality r.
Therefore, the constant of proportionality in the equation y = rx is r.
Which one of these is an equation?Two expressions joined by the equal sign constitute an equation, which is a statement in mathematics. An illustration of a formula is 3x - 5 = 16. After resolving this equation, we discover that the value of x is 7.
The given equation is y = rx.
To find the constant of proportionality, we can use the definition of proportionality, which states that two variables are proportional to each other if they have a constant ratio.
In this case, we can write:
y/x = r
This shows that y is proportional to x with a constant of proportionality r.
Therefore, the constant of proportionality in the equation y = rx is r.
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Evaluate the integral by changing the order of integration in an appropriate way. ∫[infinity]0∫540∫9y6e−x2+zdxdydz
The value of the integral is π(540)^2.
What is the value of the integrationWe can change the order of integration as follows:
∫^(∞)(0)∫540∫9y6e−x2+zdxdydz = ∫^(540)(0)∫^∞_0∫^√(9y^6)_(−∞)e−x^2dzdxdy
The limits of z are from −∞ to ∞, but the integrand is an even function of z, so we can simplify the integral by taking the absolute value of the integrand and multiplying it by 2:
∫^(540)(0)∫^∞_0∫^√(9y^6)(−∞)e−x^2dzdxdy = 2∫^(540)_(0)∫^∞_0∫^√(9y^6)_0 e−x^2dzdxdy
We can now evaluate the integral with respect to z:
2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−√x^2+z)/2]|^√(9y^6)_0 dxdy
where erf is the error function.
Substituting the limits of integration and simplifying, we get:
2∫^(540)_(0)∫^∞_0[√π/2 - √π/2erf(−3y^3/√2x)/2]dxdy
Next, we can evaluate the integral with respect to x:
2∫^(540)_(0)[√π/2(x - √2/3y^3erf(−3y^3/√2x))]|^∞_0 dy
Since the limits of integration with respect to x are from 0 to ∞, the first term in the square brackets evaluates to ∞, and the second term evaluates to √π/2. Therefore, the integral reduces to:
2∫^(540)_(0)√π/2 dy = π(540)^2
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Desmond is curious about how many hours of TV his family watches each week. Upon asking his family members, he found that they watched 30 hours of TV last week versus 17.7 hours of TV this week.
12.3 hours or 12 hours and 18 minutes.
This suggests that Desmond's family has decreased their TV-watching time by 12.3 hours in the past week.
This can be expressed numerically as 12.3 hours, or 12 hours and 18 minutes.
To calculate this, we can subtract 17.7 hours from 30 hours:
Last week: 30 hours of TV
This week: 17.7 hours of TV
30 hours - 17.7 hours = 12.3 hours
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I need the amplitude,period and frequency please.
The amplitude, period and frequency are 1, 2π and 1/2π
How to determine the given propertiesFrom the question, we have the following parameters that can be used in our computation:
f(x) = sin(x - π/2) - 2
A sinusoidal function is represented as
f(x) = Asin(B(x + C)) + D
Where
Amplitude = A
Period = 2π/B
So, we have
A = 1
Period = 2π/1
Period = 2π
For the frequency, we have
frequency = 1/Period
frequency = 1/2π
Hence, the frequency is 1/2π
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Two numbers that multiply to -140 and add to -13
Answer:
Step-by-step explanation:
The two numbers that multiply to -140 also have to add to -13, so that means that the larger of the two numbers needs to be negative, and the other number positive.
7 x -20 = -140
7 - 20 = -13
use the multiplier method to decreae £56 by 14%
Answer:
New value =
56 - Percentage decrease =
56 - (14% × 56) =
56 - 14% × 56 =
(1 - 14%) × 56 =
(100% - 14%) × 56 =
86% × 56 =
86 ÷ 100 × 56 =
86 × 56 ÷ 100 =
4,816 ÷ 100 =
48.16
56 decreased by 14% = 48.16
Absolute change (actual difference):
48.16 - 56 = - 7.84
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Dentro de un auditorio hay 435 asientos, de tal forma que en la primera fila hay 8 asientos, en la segunda fila hay 11, en la tercera hay 14, y así sucesivamente se forma una sucesión aritmética. ¿Cuántas sillas hay en la última fila? ¿Cuántas filas tiene ese auditorio?
From the arithmetic sequence, the last row has 47 seats, and the auditorium has 15 rows.
How many chairs are in the last rowWe can solve this problem by recognizing that the number of seats in each row forms an arithmetic sequence. Let's call the first term of the sequence (the number of seats in the first row) "a" and the common difference between terms (the number of seats added for each subsequent row) "d".
Using this notation, we have:
a = 8
a + d = 11
a + 2d = 14
We can solve for a and d by subtracting the first equation from the second and the second equation from the third:
d = 3
a = 5
Therefore, the arithmetic sequence that describes the number of seats in each row is:
5, 8, 11, 14, ...
To find the number of seats in the last row, we need to find the nth term of this sequence, where n is the number of rows in the auditorium. We can use the formula for the nth term of an arithmetic sequence:
an = a + (n - 1)d
Since we don't know n, we need to find it first. We can use the formula for the sum of an arithmetic sequence to find the number of rows:
Sn = n/2(2a + (n - 1)d)
We know that there are 435 seats in total, so we can set Sn equal to 435 and solve for n:
435 = n/2(2(5) + (n - 1)(3))
435 = n/2(3n + 7)
870 = n(3n + 7)
3n^2 + 7n - 870 = 0
(n - 15)(3n + 58) = 0
Since n cannot be negative, we have n = 15.
Now that we know there are 15 rows, we can find the number of seats in the last row by plugging n = 15 into the formula for the nth term:
an = a + (n - 1)d
a15 = 5 + (15 - 1)(3)
a15 = 5 + 42
a15 = 47
Therefore, the last row has 47 seats, and the auditorium has 15 rows.
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Translation:
Inside an auditorium there are 435 seats, in such a way that in the first row there are 8 seats, in the second row there are 11, in the third there are 14, and so on, an arithmetic sequence is formed. How many chairs are in the last row? How many rows does that auditorium have?
Find the slope of the line that passes through the points (2, 7) and (8, 9).
Answer:
1/3 or 0.3 repeated
Step-by-step explanation:
The formula is y2 minus y1 over x2 minus x1.
It is going to look like this for you:
9 - 7
_____
8 - 2
You are going to get 2/6 as your answer, which is 1/3 or 0.3 repeated.
Find the value of X! Please help
The required value of X is 14
Two parallel lines are crossed by a transversal. What is the value of x? x = 40 x = 70 x = 110 x = 130.
If two parallel lines are crossed by a transversal, the value of x is option (b) x = 70 degrees
When two parallel lines are intersected by a transversal, eight angles are formed. Two of these angles are vertical angles, which are opposite angles that share the same vertex and are formed by the intersection of two lines.
Vertical angles are always congruent, meaning they have the same measure. This is a geometric property that is true regardless of the angle's degree measurement.
In this problem, one of the vertical angles is given to be 70 degrees. Therefore, the other vertical angle must also have a measure of 70 degrees. This means that the value of x, which is the measure of one of the vertical angles, is also 70 degrees.
So, correct option is (b) x = 70 degrees.
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The given question is incomplete, the complete question is:
Two parallel lines are crossed by a transversal. What is the value of x? a) x = 40 b) x = 70 c) x = 110 d) x = 130.
Multiplying a whole number by a proper fraction, results in a ___
product.
Please help fill In the blank I WILL GIVE 5 STARS PLEASEE
Multiplying a whole number by a proper fraction results in a product which is lesser than the whole number.
What are Proper Fractions?Proper fractions are fractions in which the value of the numerator is less than the value of the denominator.
For example, 1/4, 3/4, 3/8, are all proper fractions.
4/3, 5/2, are all improper fractions.
So, from the definition, it is clear that, proper fractions are all less than 1.
When a whole number is multiplied by 1, we get the number itself.
So logically, when we multiply an whole number with fractions less than 1, then the resulting number will always be less than the whole number.
For example, consider 3 × [tex]\frac{3}{4}[/tex]
Multiplication of fraction is by multiplying numerators together and the denominators together.
3 × [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{1}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25 < 3
Hence the multiplication of a whole number with a proper fraction is always less than the whole number.
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A water bottle has 20 ounces in it. After you drink x ounces of water, there are 8 ounces left. Which equation represents this situation?.
Answer:
Step-by-step explanation
The bottle had 20 ounces that before and 8 ounces after
8+x=20
20-x=8
20-8=x
20-8=12
Antonio has 3 different colored shirts, he wants to share them with his 2 brothers. How many times can all 3 boys trade shirts without wearing them twice?
Answer:
6 times
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