Answers
Consider that the denominator is not zero. The formula that results from simplifying will equal -n-5/2n(1+3n).
The denominator does not equal zero?A fraction is divided by multiplying its reciprocal:
6n²-23n+7/8n3-28n2.
2n²-10n/1-9n²
Factoring the phrase: 6n²-23n+7/4n²(2n-7). 2n(n-5)/1-9n²)
A2-b2=(a+b)(a-b) (3n-1) (2n-7)/4n² can be used to factor the expression (2n-7).
2n(n-5)/(1+3n)(1-3n)
By eliminating the most prevalent element, reduce the proportion to its lowest term. 3n-1/4n²
2n(n-5)/(1+3n)(1-3n)
Purge the expression of all except the lowest word Write 1/2n as a single fraction: -n-5/2n(1+3n)\s-n-5/2n(1+3n).
In general, a fraction with a zero denominator cannot have a single value given to it; therefore, the value is left undefined.
Any definitional attempt results in a contradiction, which is why the outcome of a division by zero is not defined. a=r*b. r*0=a. (1) However, r*0=0 for any r, hence unless a=0, there is no solution to the problem (1).
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·
Related Questions
At which angle is sin theta=1
Answers
Answer:
second option : π/2 or pi/2
Step-by-step explanation:
sinθ = 1 = 90
π = 180
π/2 = 90
https://www.mathsisfun.com/geometry/radians.html
A box contains 65 balls numbered from 1 to 65. If 11 balls are drawn with replacement, what is the probability that at least two of them have the same number?
Answers
Using the binomial distribution, there is a 0.265 = 26.5% probability that at least two of them have the same number.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are:
p = 1/65 = 0.0154, n = 65.
The probability that at least two of them have the same number is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
P(X < 2) = P(X = 0) + P(X = 1)
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{65,0}.(0.0154)^{0}.(0.9846)^{65} = 0.3647[/tex]
[tex]P(X = 1) = C_{65,1}.(0.0154)^{1}.(0.9846)^{64} = 0.3703[/tex]
So:
P(X < 2) = P(X = 0) + P(X = 1) = 0.3647 + 0.3703 = 0.735.
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.735 = 0.265[/tex]
0.265 = 26.5% probability that at least two of them have the same number.
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Find the distance between the two points.
(-1,1)
(4,-3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answers
by using the formula
square root [(x2 - x1)^2 + (y2 - y1)^2]
A music website claims the mean length of their songs is 3.75 minutes. Suppose the length of songs from this website follows a Normal distribution with standard deviation 0.5 minutes. If 7 songs from this website are randomly selected, then there is about a 90% probability that the sample mean will fall in which interval
Answers
The confidence interval is from 3.44 to 4.06 minutes.
According to the statement
we have given that the mean length of songs is 3.75 minutes and standard deviation 0.5 minutes and the sample size n is 7. and the confidence interval is 90%
and we have to find the mean interval.
So, We know that the
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
And A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.
We know that the z value for 90% confidence interval is 1.64.
so, The formula to calculate margin of error is
MOE = Z*standard deviation/ (n)^1/2
put the values in it
MOE = Z*standard deviation/ (n)^1/2
MOE = 1.64*0.5/ (7)^1/2
MOE = 1.64*0.189
MOE = 0.310
And to find the interval the formula is
Confidence interval = sample mean ± margin of error
Confidence interval = 3.75 ± 0.310
Confidence interval = (4.06,3.44)
So, The confidence interval is from 3.44 to 4.06 minutes.
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PLS HELP IM STUCK PLS
Answers
Answer:
See below
Step-by-step explanation:
Slope, m of given line = - 1/2
perpendicular slope is = -1/m = -1 / (-1/2) = +2
Point (6,9) slope form of line
y -9 = 2(x-6) expand and simplify
y - 9 = 2x -12
y = 2x -3
Marty wants to watch two fireworks shows at the same
time. The best view is from a point that is between and
equidistant from each of them. If the shows are located
at the park and the highschool shown, at which point
would Marty get the best view?
Answers
Answer:
(8 , 5)
Step-by-step explanation:
• Marty would get the best view ,if he stood at the midpoint
of the line that connect the park to the high school .
• On the coordinates plane ,the park is located at (-4 , -11)
and the high school is located at (20 , 21) .
•• Calculating the midpoint (best position) :
Let M(x , y) be the midpoint.
[tex]x=\frac{-4+20}{2} =8[/tex]
[tex]y=\frac{-11+21}{2} =5[/tex]
Answer:
(8, 5)
Step-by-step explanation:
Given points:
High School = (20, 21)Park = (-4, -11)To find the point that is between and equidistant from the High School and the park, use the formula for midpoint between two points.
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Define the endpoints:
[tex]\textsf{Let }(x_1,y_1)=(20,21)[/tex]
[tex]\textsf{Let }(x_2,y_2)=(-4,-11)[/tex]
Substitute the endpoints into the formula:
[tex]\implies \textsf{Midpoint} =\left(\dfrac{-4+20}{2},\dfrac{-11+21}{2}\right) = (8,5)\end{aligned}[/tex]
Therefore, the point at which Marty would get the best view is (8, 5).
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can someone solve this for me ?
Answers
Answer: 113.1 ft^3
Step-by-step explanation:
We know the radius is 3 so substitute it in the formula like this...
V = 4/3 π (3)^3
Solve for (3)^3 which is 27.
Next multiply 4/3 by π. Which equals 4.1887....
Then multiply that answer by 27.
And your answer is 113.1 ft^3.
Answer:
[tex]V=108ft^{3}[/tex]
Step-by-step explanation:
[tex]V=\frac{4}{3}(3)(3)^{3}[/tex]
[tex]V=\frac{4}{3}(3)(27)[/tex]
[tex]V=\frac{4}{3} (81)=\frac{324}{3}[/tex]
[tex]V=108[/tex]
Hope this helps
what is the length and width
Answers
Answer:
Step-by-step explanation:
144,72
Answer:
If you cut the rectangle in half, you have two squares of area 144 ft², or side length 12 ft.
The length of the rectangle is 24 ft; its width is 12 ft.
See photo for problem, please help
Answers
Considering the given functions in the graph, we have that:
(f + g)(3) = 4.(f - g)(1) = -2.How to find (f + g)(3) looking at the graph?We look at the graph, and find f(3) and g(3), then add them. Hence:
g(3) = 4.f(3) = 0.Then the addition is:
(f + g)(3) = f(3) + g(3) = 0 + 4 = 4.
As for (f - g)(1):Same logic, at the graph we have that:
f(1) = -1.g(1) = 1.Hence:
(f - g)(1) = f(1) - g(1) = -1 - 1 = -2.
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The standard deviation of the sampling distribution of the sample mean is also called?
Answers
The standard deviation of the sampling distribution of the sample mean is also called standard error of the mean.
For the given question,
Standard error is a mathematical tool used in statistics to measure variability. The standard error of the mean (SEM) measures how much discrepancy is likely in a sample's mean compared with the population mean.The SEM takes the SD and divides it by the square root of the sample size. The SEM will always be smaller than the SD.
The standard error of the mean indicates how different the population mean is likely to be from a sample mean. You can decrease the standard error by increasing the sample size.
Standard error of the mean and standard deviation are both measures of variability used to summarize sets of data. It helps you estimate how well your sample data represents the whole population by measuring the accuracy with which the sample data represents a population using standard deviation.
Hence we can conclude that the standard deviation of the sampling distribution of the sample mean is also called standard error of the mean.
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If the graph of f(x) = 4 ^ x is shifted 6 units up, then what would be the equation of the new graph?
Answers
The equation of the new graph g(x) is expressed as g(x) = 4^x + 6
Exponential equationThe standard exponential equation is expressed as y = ab^x. Exponential equation is inverse of logarithmic equation.
Translation of coordinatesTranslations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function f(x) = 4^x
If the function is shifted 6 units up, the function g(x) is derived by adding 4 to the function f(x). The resulting function is given as;
g(x) = f(x) + 6
g(x) = 4^x + 6
Hence the equation of the new graph g(x) is expressed as g(x) = 4^x + 6
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Keisha devised a week-long study plan to prepare for finals. On the first day, she plans to study for 1 hour, and each successive day she will increase her study time by 30 minutes. How many hours will Keisha have studied after one week
Answers
Answer:
17.5 hours
I hope this helps and you can give a brainliest!
Step-by-step explanation:
Given: time spent per day follows the arithmetic sequence 1,1.5,2... (for 7 terms) with first term 1 and common difference 0.5 (in hours)
Concept used: the total study time is the partial sum S7of the given arithmetic series.
Calculation: As the number of terms is small, it can be calculated by hand.
S7 = 1+1.5+2+2.5+3+3.5+4
S7= 17.5 hours
Conclusion: Total time spent after one week is 17.5 hours
Answer:
17 and 1/2 hours.
Step-by-step explanation:
this is an arithmetic series with common difference 0.5 hours.
Number of hours after 7 days
= (n/2)[2a + (n -1)d]
= (7/2)(2*1 + (7-1)0.5)
= 3.5 * 5
= 17.5 hours
The figure shows secants LH and and tangent J intersecting at point L. AHIL is a right triangle. Find m/HLJ, which is
the value for x, and m I, which is the value for y.
A. x = 274
y = 86
B. x = 137
y = 43
C. x = 47
y = 86
D. x = 317
y = 43
Answers
The values of x and y from the given diagram are 47 ad 86 degrees respectively
Circle theoremFrom the given circle, the triangle HJL is a right triangle.
Determine the value of y
43 = 1/2 <y
<y = 43 * 2
<y = 86 degrees
Since the sum of angle on a straight line is 180 degrees, such that;
x+90+43 = 180
x + 133 = 180
x = 47 degrees
Hence the values of x and y from the given diagram are 47 ad 86 degrees respectively
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WILL MAKE BRAINLIEST!!! Find the correct angle measure for angle b in each figure.
_1. 52°
_2. 27°
_3. 32°
_4. 98°
Answers
Answer:
98, 27
Step-by-step explanation:
In the first figure, the two angles are supplementary, meaning that their sum would equal 180 degrees, giving the equation: b+82 = 180 --> b=98
In the second figure, the two angles are complementary, meaning that they add up to 90 degrees, giving the equation: b+63 = 90 --> b=27
A state license plate consists of three letters followed by three digits. If repetition is allowed, how many different license plates are possible
Answers
A state license plate consists of three letters followed by three digits. If repetition is allowed, the number of different ways in which license plates are possible is 17,576,000.
What is a permutation?An arrangement of items in a specific order is referred to as a permutation. When the order of the arrangements counts, it is a mathematical technique that establishes the total number of alternative arrangements in a collection.
Calculation for the permutation -
Three letters are followed by three digits on a state license plate.
26 letters from a to z and 10 numbers from 0 to 9 make up the alphabet.
The potential of arrangements is due to the license plate's composition of three letters and three numerals.
Total ways = 26×26×26×10×10×10
= 17,576,000
Therefore, the number of different ways in which license plates are possible is 17,576,000.
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Solve the quadratic equation 2x2-1 = 7 x. write your answer correct to two decimal places
Answers
Answer:
Step-by-step explanation:
You have 2 x's. I think the first one is for multiplication and the second one is a variable.
2x2 -1 = 7x
4-1 = 7x (first multiple 2x2)
3=7x (second 4-1)
0.428571429 = x (Divide both sides by 7. On the left side, 3/7 is 0.428571429 and 7x/7 is just x because the 7s cancel out.
Since the answer needs to be to two decimal places, I have to decide if 0.428571429 is closer to 0.42 or 0.43 Since the digit after the 2 in the answer is 8, that makes the number closer to 0.43 than 0.42. So, the final answer is 0.43
If you had worked on an externship in a prosecutor’s office, and then you moved to another state, which of these legal support positions would be best suited for?
Answers
Haven worked on an externship in a prosecutor’s office, the legal support position which you would be best suited for is: paralegal.
What is paralegal?Paralegal can be defined as a person who has been trained in subsidiary legal matters (issues), but not fully qualified to act as an attorney or lawyer.
In this context, we can infer and logically deduce that paralegal is a legal support position which you would be best suited for a person who has worked on an externship in a prosecutor’s office.
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Complete Question:
If you had worked on an externship in a prosecutor’s office, and then you moved to another state, which of these legal support positions would be best suited for?
mediator
paralegal
legal secretary
court reporter
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is
°C higher than the average daily minimum temperature.
Answers
By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.
What is the difference between the average daily maximum temperature and the average daily minimum temperature?
Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the minimum temperature from the maximum temperature:
x = 21.85 °C - (- 4.7 °C)
x = 26.55 °C
By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.
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Nozomi works as a waiter and earns $16/h. She also receives 8% of the gratuities earned by all the staff. In one week, she worked 20 hours and the gratuities totalled $1,267.28. What was Nozomi’s gross pay?
Answers
Her gross pay is $421.38
What was Nozomi’s gross pay?First, we know that she gets $16 per hour, and she worked 20 hours, then she gets:
20*$16 = $320
Now we also know that she receives a percentage of 8% of the gratuities, and the gratuities totaled $1,267.28
The 8% of $1,267.28 is:
$1,267.28*(8%/100%) = $1,267.28*0.08 = $101.38
Her gross pay is:
P = $101.38 + $320 = $421.38
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2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?
Answers
Se calcula que la aceleración es - 8,35 m/s.
¿Qué es la aceleración?Ahora sabemos lo siguiente de la pregunta;
Velocidad inicial (u) = 60 km/h o 16,7 m/s
Tiempo empleado (t) = 2 s
Dado que;
v = tu + en
v = 0 m/s porque el carro se detenía
tu = -en
a = -(u/t)
a= -1(6,7 m/s/2 s)
a =- 8,35 m/s
La aceleración es negativa porque la velocidad disminuye con el tiempo.
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PLEASE HELP HURRY!!!!!
Jerry makes coffee tables to sell in a furniture shop. The length of each table is n+8 and the width is 1/2n - 4 inches. If n=42, what are the measurements of the length and width of each coffee table?
Answers
Answer:
Length= 50
Width=17
Step-by-step explanation:
length= n+8
Since n= 42, Just plug it in. So it would be 42+8 which is 50 for the length
Widith: 1/2n-4
basically since N is given for 42, you do 1/2 multipied by 42 which is 21.
Since you also have to subtract 4 inches it would be 17 for the length
What is the domain of the quadratic function graphed below?
Answers
The domain of the graph is the set of all real values
How to determine the domain?The domain is the set of x values of the graph
From the graph, the x values extend in both directions without end
This means that the x values can accommodate all real values
Hence, the domain of the graph is the set of all real values
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f(x) = 7x
g(x) = 7x + 6
Which statement about f(x) and its translation, g(x), is true?
The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}.
The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}.
The asymptote of g(x) is the asymptote of f(x) shifted six units down.
The asymptote of g(x) is the asymptote of f(x) shifted six units up.
Answers
The statement which is true about the translation is; The asymptote of g(x) is the asymptote of f(x) shifted six units down.
Which statement is true about the translation?Since it follows from the task content that the function g(x) represents a 6 units vertical shift downward, it can then be concluded in the same regard that The asymptote of g(x) is the asymptote of f(x) shifted six units down.
Therefore, the true statement is; the asymptote of g(x) is the asymptote of f(x) shifted six units down.
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if the coordinate of p and t are -6 and 4 respectively, what it the length of segment pt?
Answers
The length of the segment [tex]pt[/tex]is [tex]10[/tex] if the coordinates of [tex]p[/tex] and [tex]t[/tex] is [tex](-6 )and( 4)[/tex]
How can find the length of the segment ?
The coordinate of [tex]p=-6[/tex]
The coordinate of [tex]t=4[/tex]
We can assume only [tex]x[/tex] coordinates given and [tex]y[/tex] coordinates is [tex]0[/tex]
so coordinate of [tex]p=(-6,0)\\[/tex]
And coordinate of [tex]t=(4,0)[/tex]
So the length of the segment
[tex]pt=x_{2} -x_{1} \\pt=4-(-6)\\pt=4+6\\pt=10[/tex]
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The two dot plots below compare the forearm lengths of two groups of schoolchildren: Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group X and the title for the bottom plot is Forearm Length, Group Y. Below the line for each dot plot is written Length in inches. There are markings from 10 to 13 on each line at intervals of one. For the top line there are 4 dots above the first mark, 4 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 2 dots above the second mark, 2 dots above the third mark, and 6 dots above the fourth mark. Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length? Group X, because no child in the group has a forearm length longer than 12 inches. Group X, because four children in the group have the least forearm length of 10 inches. Group Y, because a child in the group has the least forearm length of 10 inches. Group Y, because six children have a forearm length longer than 12 inches.
Answers
The group that have the longer average forearm length is group Y, because six children have a forearm length longer than 12 inches.
Which group has a longer forearm length?
A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.
In group X, the highest arm length is 12 while in group Y, it is 13. This means that group Y would have longer arm lengths.
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POSSIBLE OUTCOMES!!!
A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles.
a. Find the probability of tossing a head and drawing a red marble. Explain your reasoning.
b. Find the probability of drawing two blue marbles if the first marble is not replaced. Explain your reasoning.
Answers
The probability of drawing two blue marbles if the first marble is not replaced is 1/5
How to determine the probabilities?The probability of tossing a head and drawing a red marble
The given parameters are:
White = 1
Blue =3
Red = 2
Total = 6
The probability of a head is
P(Head)= 1/2
The probability of drawing a red marble is
P(Red)= 2/6 = 1/3
The required probability is
P = P(Head) * P(Red)
This gives
P = 1/2 * 1/3
P =1/6
The probability of drawing two blue marbles if the first marble is not replaced.
Here, we have:
P(B1) = 3/6 = 1/2
P(B2) = 2/5
The required probability is
P = P(B1) * P(B2)
This gives
P = 1/2 * 2/5
P =1/5
Hence, the probability of drawing two blue marbles if the first marble is not replaced is 1/5
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A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
Answers
The net Change in latitude and longitude of the helicopter are; 28.47 and 7.35 respectively.
What is the net Change in latitude and longitude of the helicopter?The net change in latitude of the helicopter can be evaluated as follows;
x = |-6.20° - 22.27°| = |-28.47°|
x = 28.47°
The net change in longitude of the helicopter can be evaluated similarly as follows;
y = |106.80° - 114.15°| = |-7.35°|
x= 7.35°
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If 1 skip equals 4 hops, and 1 jump equals 3 skips, what is the total number of hops in a hop, a skip and a jump
Answers
There are 17 hops in a hop, a skip, and a jump.
How to perform changes of units?We have the relations:
1 skip = 4 hops.1 jump = 3 skips.How many hops are in a hop, a skip and a jump?
So we have:
1 hop + 1 skip + 1 jump.
First, using the second relation we rewrite:
1 hop + 1 skip + 3 skips = 1 hop + 4 skips.
Now, using the first relation:
1 hop + 4 skips = 1 hop + 4*(4 hops) = 1 hop + 16 hops = 17 hops.
There are 17 hops in a hop, a skip, and a jump.
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Solve the equation algebraically. Calculus section 1.5 of textbook
2^x + 2^-x = 5
Answers
The value of x from the given expression is [tex]\frac{5+\sqrt{29}}{2log2} \\[/tex]
Solving quadratic expressionGiven the algebraic expression below;
2^x + 2^-x = 5
This can also be expressed as:
1/2^x+ 1/2^x = 5
Let P = 2^x, such that;
P + 1/P = 5
P²-1/P = 5
P²-1 = 5P
P²-5P-1=0
On factrorizing, then;
P = [tex]\frac{5+\sqrt{29}}{2} \\[/tex]
Since 2^x = P, then;
[tex]2^x=\frac{5+\sqrt{29}}{2} \\\\xlog2=\frac{5+\sqrt{29}}{2} \\\\x=\frac{5+\sqrt{29}}{2log2} \\[/tex]
Hence the value of x from the given expression is [tex]\frac{5+\sqrt{29}}{2log2} \\[/tex]
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In order to avoid double counting, statisticians just count the __________________.
Answers
In order to avoid double counting, statisticians just count the final goods and services.
According to the statement
we have to find the procedure which is used by statisticians to avoid the double counting.
final goods and services are the type of way which is used to avoid the double counting.
In other words, statisticians count only the final results rather than the efforts.
So, In order to avoid double counting, statisticians just count the final goods and services.
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