The given sequence {inca 36 n + e-48 is 2n + tan (82 n) ;)} n=1 is divergent as its limit is -∞. The summary in two lines: The sequence diverges as n approaches infinity, with the limit tending towards negative infinity.
As n increases, the term 2n dominates the expression, while the term tan (82n) becomes insignificant. The term 2n grows without bound as n approaches infinity, resulting in an increasing sequence. Moreover, the limit of 2n as n approaches infinity is infinity (∞).
On the other hand, the term tan (82n) oscillates between -∞ and +∞ as n increases, without converging to a specific value. Consequently, the limit of the sequence is not well-defined, and it tends towards negative infinity (-∞). This behavior confirms that the sequence is divergent.
In summary, the given sequence {inca 36 n + e-48 is 2n + tan (82 n) ;)} n=1 is divergent, as its limit is negative infinity (-∞). As n approaches infinity, the sequence increases without bound due to the dominant term 2n, while the oscillating term tan (82n) does not contribute to convergence.
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true or false: if a data set is approximately normally distributed, its normal probability plot would be s-shaped.
It is known that 2x-3/x = x + 1 What is the value of x^2 -x + 3
The value of the equation x² - x + 3 is 37/9.
We have,
We can start by multiplying both sides of the equation by x:
2x - 3/x = x + 1
2x - 3 = x^2 + x
Rearranging and simplifying, we get:
x^2 - x + 3 = (2x - 3) + x^2
x^2 - x + 3 = x^2 + 2x - 3
-x + 3 = 2x - 3
5 = 3x
x = 5/3
Now we can substitute x into the equation x^2 - x + 3:
x^2 - x + 3 = (5/3)^2 - 5/3 + 3
x^2 - x + 3 = 25/9 - 15/9 + 27/9
x^2 - x + 3 = 37/9
Therefore,
The value of x² - x + 3 is 37/9.
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Need help ASAP !!
Ming wonders if there is a relationship between students' practicing music and their average in math class. She surveys ten of her classmates and asks them their average in math. She
also asks if they sing or play a musical instrument, and if so, how many hours they practice
per week. The scatter plot shows her results. Which statement is true?
The data are clustered at 5 to 6 hours of
music practice per week.
The more time a student spends practicing
music, the lower his or her average in math.
The student who practices 3 hours per week
and has an 88 average is an outlier.
There is a slight positive association between
hours of music practice and math average.
The slope of the relationship between math average and hours of music practice is positive, hence, we can conclude that there is a positive association between the two variables.
From the graph :
The data is dispersed between 1 to 10 hours and not clustered at 5 to 6 hours. The graph shows positive association, that is an increase in practice hours results in higher math scores and not the other way round. From the graph, obtaining an average 88 for a 3 hours practice still resides closely with the points on the graph, hence not an outlier.Therefore, we can conclude from the slope of the graph that there is a slight positive relationship between math score and music practise time.
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Answer:
b
Step-by-step explanation:
what is -4x+5 > -5 equal
Answer:
x < 5/2
Step-by-step explanation:
Abram competed in a 100-meter swimming race. He swam
the first 50 m in 29.65 seconds. He swam the second 50 m
in 30.24 seconds. How long did it take Abram to complete
the race?
Answer:
Step-by-step explanation:
59.89
I will make brainiest
Answer:
60
Step-by-step explanation:
You have to do 12 times 60 and you will get 60.
Find the value for x.
Answer:
x=14/3 in.
Step-by-step explanation:
The trapezoids are similar, so their proportions of corresponding sides are the same
7/3=x/2
14=3x
x=14/3
What is the x coordinate of N ''
Find an equation for the plane containing the two (parallel) lines
v1 = (0, 1, −8) + t(6, 7, −5) and v2 = (8, −1, 0) + t(6, 7, −5).
The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
What are parallel lines?
Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.
To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),
We use the equation of a line: v = v₀ + tv₁
where v₀ and v₁ are points on the line and t is a real number.
Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)
This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.
Equate the components:
0x + 1y - 8z = D....(1)
6x + 7y - 5z = D...(2)
Now, we subtract equation (1) from (2) and we get
6x - 0x + 7y - 1y - 5z + 8z = 0
6x + 6y + 3z = 0
Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
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Can 10-12 be solved Answer Fast!!!!!!
Answer:
10/------ 5x+2y=14
11/------ 1x+6y=2
12/ ----- 9x+6y=12
ILL GIVE BRAINLIEST PLS HELP ME
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
Find the slope of the line that passes through (4, 6) and (1, 10).
Answer:
given us,
(x1y1) = (4,6)
(x2y2)= (1,10)
here
slope= (y2-y1)/ (x2-x1)
= (10-6)/ (1-4)
= 4/ (-3)
Step-by-step explanation:
4/ (-3)
What is [(a+b)³]² simplified?
A. (a +b) 3/2
B. (a+b)^5
C. (a+b)^1
D. (a+b)^6
Answer:
D. (a+b)⁶ is the right answer.
Step-by-step explanation:
[(a+b)³]²=(a+b)³*²=(a+b)⁶
You spin the spinner and flip a coin. Find the probability of the compound event.
3
2
1
4
The probability of spinning a number greater than 1 and flipping tails is
Answer:
3
Step-by-step explanation:
A firm just bought a piece of machinery for $1,500,000 that is projected to last for 10 years. This asset is subject to a CCA rate of 30% and the half-year rule. What is the CCA on this asset in Year 3 of its life? Select one: O a. $267,750 O b. $450,000 O c. $220,500 O d. $187,425 O e. $624,750
The question asks for the Capital Cost Allowance (CCA) on a piece of machinery in Year 3 of its life. The machinery was purchased for $1,500,000 and has a CCA rate of 30% with the half-year rule.
The options provided are a. $267,750, b. $450,000, c. $220,500, d. $187,425, and e. $624,750.To calculate the CCA on the asset in Year 3, we need to apply the CCA rate and consider the half-year rule. The half-year rule allows us to claim half of the CCA rate in the first year of acquisition.
The CCA for each year can be calculated using the following formula:
CCA = (Asset Cost * CCA Rate) * Half-Year Rule. Given that the machinery was purchased for $1,500,000 and has a CCA rate of 30%, we can calculate the CCA for Year 3. First, we determine the CCA base, which is the remaining undepreciated capital cost (UCC) at the beginning of Year 3. The UCC at the beginning of Year 3 is the initial cost minus the CCA claimed in the previous years. Since it is Year 3, the CCA claimed in Year 1 and Year 2 would be calculated using the half-year rule.
Year 1 CCA: (Initial cost * CCA rate) * Half-Year Rule = ($1,500,000 * 30%) * 0.5 = $225,000
Year 2 CCA: (Initial cost * CCA rate) * Half-Year Rule = ($1,500,000 * 30%) * 0.5 = $225,000
UCC at the beginning of Year 3 = Initial cost - Year 1 CCA - Year 2 CCA = $1,500,000 - $225,000 - $225,000 = $1,050,000
Now, we can calculate the CCA for Year 3 using the CCA base and the CCA rate:
CCA Year 3 = (UCC Year 3 * CCA rate) * Half-Year Rule = ($1,050,000 * 30%) * 1 = $315,000
Therefore, the correct answer is a. $267,750, as it represents the CCA on the asset in Year 3 of its life.
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can anyone help me with this? thank you
"MIDDLE OF THE NIGHT"
I summoned you, please come to me
Don't bury thoughts that you really want
I fill you up, drink from my cup
Within me lies what you really want
Come, lay me down
'Cause you know this
'Cause you know this sound
In the middle of the night
In the middle of the night
Just call my name
I'm yours to tame
In the middle of the night
In the middle of the night
I'm wide awake
I crave your taste all night long
'Til morning comes
I'm getting what is mine
You gon' get yours, oh no, ooh
In the middle of the night
In the middle of the night, oh
These burning flames, these crashing waves
Wash over me like a hurricane
I captivate, you're hypnotized
Feel powerful, but it's me again
Come, lay me down
'Cause I know this
'Cause I know this sound
In the middle of the night
In the middle of the night
Just call my name
I'm yours to tame
In the middle of the night
In the middle of the night
I'm wide awake
I crave your taste all night long
'Til morning comes
I'm getting what is mine
You gon' get yours, oh no, ooh
In the middle of the night
In the middle of the night, oh
Just call on me, ah
Just call my name
Like you mean it, ah
In the middle of the night
In the middle of the night
Just call my name
I'm yours to tame
In the middle of the night
In the middle of the night
I'm wide awake
I crave your taste all night long
'Til morning comes
I'm getting what is mine
You gon' get yours, oh
In the middle of the night
In the middle of the night, o
Step-by-step explanation:
12
Drag each tile to the correct box. Not all tiles will be used.
Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change,
y=*#+10
y
=-=+
y =
y=11-2
y =
Only Tile A represents an increasing function, as it has a constant rate of change. The other equations (Tiles B, C, and D) do not exhibit increasing behavior or have incomplete information.
To determine the increasing functions and arrange them in order from least to greatest rate of change, let's analyze each equation:
*y = # + 10 (Tile A)
This equation represents a linear function where the rate of change is constant. Regardless of the specific values represented by "*", "#" and "+", the rate of change remains the same. Hence, this function has a consistent rate of change.
y = - = + (Tile B)
The equation given here appears to be incomplete or unclear. It does not represent a specific function, and without further information, we cannot determine its rate of change. Therefore, we cannot categorize it as an increasing function.
y = (Tile C)
This equation represents a constant function where y remains the same regardless of the input. Since the value of y does not change with the input variable, this function does not exhibit any increase or decrease. Therefore, it is not an increasing function.
y = 11 - 2 (Tile D)
This equation represents a linear function in slope-intercept form. The constant term (-2) represents the y-intercept, and the coefficient of the variable (11) represents the slope. In this case, the slope is negative, indicating a decreasing function rather than an increasing one. Therefore, this equation does not represent an increasing function.
To summarize, out of the given equations, only Tile A represents an increasing function, as it has a constant rate of change. The other equations (Tiles B, C, and D) do not exhibit increasing behavior or have incomplete information. Therefore, we can arrange the increasing functions from least to greatest rate of change as follows:
*y = # + 10 (Tile A) - Represents a linear function with a constant rate of change.
No other equations qualify as increasing functions based on the given options.
It is important to note that the information provided for Tile B is insufficient to determine its rate of change or whether it represents an increasing function.
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compute the first four partial sums s1 , ... , s4 for the series having n^th term a_n starting with n = 1 as follows. a_n = (-1)^n 6
s1 = ____
s2 = ____
s3 = ____
s4 = ____
The first four partial sums are:
s1 = -6, s2 = 0, s3 = -6, s4 = 0. Compute the first four partial sums for the series with the nth term a_n = (-1)^n * 6, we can substitute the values of n from 1 to 4 and sum up the terms.
In a series, the partial sums are the sums of a certain number of terms in the series, starting from the first term. To compute the partial sums, we add up the terms of the series up to a specified number of terms.
For this particular series, the nth term a_n is given by (-1)^n * 6. This means that each term alternates between positive and negative, with a magnitude of 6.
s1 = a1 = (-1)^1 * 6 = -6
s2 = a1 + a2 = (-1)^1 * 6 + (-1)^2 * 6 = -6 + 6 = 0
s3 = a1 + a2 + a3 = (-1)^1 * 6 + (-1)^2 * 6 + (-1)^3 * 6 = -6 + 6 - 6 = -6
s4 = a1 + a2 + a3 + a4 = (-1)^1 * 6 + (-1)^2 * 6 + (-1)^3 * 6 + (-1)^4 * 6 = -6 + 6 - 6 + 6 = 0
Therefore, the first four partial sums are:
s1 = -6
s2 = 0
s3 = -6
s4 = 0
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A central angle of a circle measures 37°. The arc intercepted by this central angle measures 16 inches. Which value best approximates the radius of the circle? 24.78 in. 25.38 in. 46.44 in. 50.76 in.
The value that best approximates the radius of the circle is 25.38 inches. Option B
How to find the t best approximates the radius of the circleLet us start by using the formula for the circumference of a circle, which is:
C = 2πr,
where C is the length of the arc,
r is the radius, and
π is approximately 3.14.
Since the arc intercepted by the central angle measures 16 inches, we have:
C = 16 inches
We know that the central angle measures 37°, and the total number of degrees in a circle is 360°. So the fraction of the circle that the central angle represents is:
37/360
To find the length of the entire circumference, we can set up a proportion:
(37/360) * C = 2πr
Simplifying:
(37/360) * 16 = 2πr
Multiplying both sides by (360/37):
16 * (360/37) * (37/360) = 2πr * (360/37)
Simplifying:
16 * (10) = 20πr
Dividing both sides by 20π:
16/20π * 10 = r
Simplifying:
0.254 ≈ r
So the radius of the circle is approximately 0.254 inches.
However, all the answer choices are given in inches, so we need to convert our answer to inches:
0.254 inches ≈ 25.4 inches
Therefore, the value that best approximates the radius of the circle is
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Can you help me with a question can you show how my teacher got those answer
7 is what percent of 90
Let us put it as an equation
7 = x% * 90
Is means = and of means times
You must change x% to normal value by divide x by 100
\(7=\frac{x}{100}\times90\)Now we will solve the equation
Multiply both sides by 100 to cancel the denominator in the right side
\(7\times100=\text{ x}\times90\)\(700\text{ = 90 x}\)To find x divide both sides by 90
\(\frac{700}{90}=x\)x = 7.8
7 is 7.8% of 90
Ayúdenme en esto porfavor
Answer:
The distance from point A(x, 1) to point B(0, 7) is equal to 10. Calculate the value of the abscissa x.
Para resolver un problema como este lo primero que tenemos que hacer es sacar regla de tres:
----- 48
----- \(\bold{\cfrac{3}{4}}\)
----- X
Una vez sacado la regla de tres debemos Saber los datos que son los siguientes
\( \underline{\bold{Ahora \: \: Planteamos \: \: la \: \: ecuacion \: : } }\)
En este caso debemos hallar el 3/4% de 48.
Ahora Usamos la regla de tres simple.
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Rightarrow\bold{\cfrac{3}{4} * 48 }\)
Comenzamos a Resolver :\( \: \: \: \: \: \: \: \: \: \bold{\cfrac{3}{4} * 48 = \cfrac{ \cfrac{3}{4} }{100} * 48 }\)
\( \bold{\cfrac{3}{400} \: * 48 = \cfrac{3}{25}* 3 = \cfrac{9}{25} }\)
Ahora Hallamos el decimal de 9/25
\( \: \: \: \: \: \bold{\cfrac{9}{25} = 9 \div 25 = 0.36 }\)
Entonces podemos decir que:
En total a Susana le faltan 0.36km para llegar a casa.
you want to obtain a sample to estimate a population mean. based on previous evidence, you believe the population standard deviation is approximately . you would like to be 98% confident that your estimate is within 2 of the true population mean. how large of a sample size is required?
The required sample size is 108, to estimate the population mean with a 98% confidence level.
The following formula can be used to determine the required sample size.
n = ((z*σ) / E)^2
where:
n = sample size
z = z-score corresponding to desired confidence level (98% = 2.33 for two-sided test)
σ = population standard deviation (specified in the problem)
E = tolerance (2 for the problem)
After plugging in the values it looks like this:
n = ((2.33*) / 2)^2
n=107.13
Rounding up to the nearest integer, the required sample size is 108.
Therefore, a sample size of at least 108 is required to estimate the population mean with a 98% confidence level and a margin of error of 2, taking the population standard deviation as approximate.
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Broccoli costs $1.50 per pound at a store. how much money does 32 ounces cost
Answer:
$ 3.00
Step-by-step explanation:
1 pound = 16 ounces
2 pounds will cost 32 ounces
2 x $ 1.50
= $ 3.00
Use the definition of vampire numbers to determine if the product is a vampire.
15x93=1395
Select the correct answer below and fill in the answer box to complete your choice.
(Use a comma to separate answers as needed.)
OA. The product is not a vampire.
OB. The product is a vampire. The surviving digit(s) is/are
it's a vampire !
the surviving digits are 1, 3, 9 ,and 5.
unless i have the wrong definition of a vampire number.
What is 2/3 as a decimal
Answer:
0.66 or 0.67 rounded
Step-by-step explanation:
2/3=
0.66
Answer:
0.6 or 0.666666666666666666666
Jorge got a hit 8/25 of the times that he
batted. What percent of the times did
he get a hit?
Answer:
32%
Step-by-step explanation:
Percent means out of 100 so we need the denominator to be 100
8/25 * 4/4 = 32/100
The percent is the numerator since it is now out of 100
32%
Answer: 32%
Step-by-step explanation:
32%
Please help I hate math
maybe the answer is 17.15
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3
Answer:
20/27
Step-by-step explanation:
2.46for a 12 ounce jar of jam or 3.44 for a 16 ounce of jame
The unit rates is $4.1 ounce jar of jam
How to determine the unit ratesTo calculate the unit rate, we need to divide the difference in the prices of each jar of jam by difference in the weight in ounces.
Using the above as a guide, we have the following:
Unit rate = (16 - 12)/(3.44 - 2.46)
Evaluate the quotient
Unit rate = 4.1
Hence, the unit rate for the 4.1 ounce jar of jam
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Each of the following statements contains a blunder. Explain in each case what is wrong...
(a) There is a high correlation between the age of American workers and their occupation.
The relationship between age and American workers' occupation has a curved relationship and correlation measures the strength of only the linear relationship between two variables
.Because occupation has a categorical (nominal) scale, we cannot compute the correlation between occupation and anything. Age would not have any association with American workers' occupation.
Occupation of American workers can not be correlated with other variables because it is too complex.
(b) We found a high correlation
(r = 1.17) between students' ratings of faculty teaching and ratings made by other faculty members.
The relationship between students' ratings of faculty teaching and ratings made by other faculty members would have more of a curved relationship and correlation measures the strength of only the linear relationship between two variables.
Because students' ratings of faculty teaching has a categorical (nominal) scale, we cannot compute the correlation between these ratings and anything.
The correlation between students' ratings of faculty teaching and ratings made by other faculty members would not be this high.
A correlation r = 1.17 is impossible because −1 ≤ r ≤ 1 always.
(c) The correlation between the sex of a group of students and the color of their cell phone was r = 0.29.
The relationship between sex and cell phone color has a curved relationship and correlation measures the strength of only the linear relationship between two variables.
There is no correlation between sex and cell phone color.
Because neither variable (sex and cell phone color) is quantitative, we cannot compute the correlation between them.
The correlation between sex and cell phone color would be much higher.
(a), occupation is a categorical variable, and correlation measures the linear relationship between two quantitative variables, so calculating a correlation between age and occupation is not appropriate. Secondly, in statement (b), student ratings of faculty teaching and ratings by other faculty members may have a curved relationship, and correlation only measures linear relationships.(c), the variables "sex" and "cell phone color" are both categorical, and correlation is only applicable to quantitative variables..
(a) There is a high correlation between the age of American workers and their occupation.
- The blunder here is that occupation is a categorical (nominal) variable, not a quantitative variable. Correlation measures the strength of the linear relationship between two quantitative variables, so it cannot be calculated between age and occupation.
- Furthermore, even if occupation were a quantitative variable, the relationship between age and occupation is unlikely to be linear. It may have a more complex or curved relationship, which correlation does not capture.
(b) We found a high correlation (r = 1.17) between students' ratings of faculty teaching and ratings made by other faculty members.
- The mistake in this statement is that student ratings of faculty teaching are typically based on ordinal scales, not nominal scales. Correlation calculations are appropriate for quantitative variables, but not for categorical variables or ordinal scales.
- Additionally, a correlation coefficient (r) cannot exceed 1 in absolute value. The range for correlation coefficients is always between -1 and 1, inclusive. Therefore, a correlation of 1.17 is impossible.
(c) The correlation between the sex of a group of students and the color of their cell phone was r = 0.29.
- Similar to the previous statements, the blunder here is that both variables, "sex" and "cell phone color," are categorical variables. Correlation is only applicable to quantitative variables, so it cannot be calculated between these variables.
- As the variables are categorical, they do not have a numerical relationship that correlation can measure. Therefore, stating a specific correlation coefficient (r = 0.29) between these variables is incorrect.
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