Answer:
35.53
Step-by-step explanation:
19.00x 87%=16.53
16.53+19.00= 35.53
Can i get some help :
Answer:
the second
Step-by-step explanation:
Answer:
0.9 + n = 5.2
Step-by-step explanation:
Write a recursive formula for the nth term of the sequence 5,12,19,26,....
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.
what is sequence ?A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.
given
The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).
The following is a definition of a recursive formula for the nth element of the sequence:
a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)
For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have
a_2 = a_1 + 7 = 5 + 7 = 12
a_3 = a_2 + 7 = 12 + 7 = 19
a_4 = a_3 + 7 = 19 + 7 = 26
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Simplify. (Integer Exponents)
\(\frac{a^4c^2e^0}{b^-^1d^-^3}\)
Thomas bought 120 whistles, 168 yo-yos and 192 tops. He packed an equal amount of items in each bag. A) What is the maximum number of bag that he can get?
Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.
To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.
To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:
168 = 1 * 120 + 48
120 = 2 * 48 + 24
48 = 2 * 24 + 0
Therefore, the GCD of 120 and 168 is 24.
Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0
Therefore, the GCD of 120, 168, and 192 is 24.
So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:
Total number of items = 120 + 168 + 192 = 480
Number of bags = 480 / 24 = 20
Therefore, Thomas can get a maximum of 20 bags.
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The figure is made up of two shapes a semi circle on a rectangle what is the exact perimeter of the
The perimeter of the composite shape is: (3π + 12)mm
What is a semicircle?A semicircle is a part of a circle cut through its diameter.
Analysis:
perimeter of a semicircle = πr
where r = 6/2 = 3mm
perimeter of a semicircle = π(3) = 3π
perimeter of incomplete rectangle = L+2B, L = 6mm, B = 3mm
perimeter of rectangle = 6mm +2 x 3= 12mm
perimeter of shape = (3π+12)mm
In conclusion, the perimeter of the rectangle is (3π+12)mm
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Which of the following statements best describes multicollinearity? A. Two or more predictors are highly correlated to the response variable. B. The relationship between the predictor and response variables is non-linear. C. There is a significant interaction term including two or more predictors. D. Two or more predictors are highly correlated with each other.
Multicollinearity refers to the situation where two or more predictors in a statistical model are highly correlated with each other.
Multicollinearity occurs when there is a high correlation between predictor variables in a regression model. The option D, "Two or more predictors are highly correlated with each other," best describes multicollinearity. When multicollinearity is present, it becomes difficult to determine the individual effects of each predictor on the response variable. The presence of multicollinearity can lead to unstable estimates and inaccurate inferences.
In a regression model, the predictors should be independent of each other to provide reliable and interpretable results. When two or more predictors are highly correlated, it indicates that they are capturing similar information or have redundant information. This can cause problems in the model as it becomes challenging to determine the unique contribution of each predictor. High correlation between predictors can lead to unstable coefficient estimates and inflated standard errors.
Detecting multicollinearity is important in regression analysis. Methods such as calculating correlation coefficients, variance inflation factors (VIF), or conducting hypothesis tests for individual predictors can help identify the presence of multicollinearity. If multicollinearity is detected, potential solutions include removing one of the correlated predictors, transforming variables, or collecting additional data to reduce the correlation. Handling multicollinearity appropriately is crucial to ensure the reliability and validity of regression analysis results.
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Hii I really need the answers for question 3 and 4, or if you want you could just give me the answers for 3, I just need to check if I got the answers right cuse I don’t really know how to do this. Thanks so much!
Answer:
3. A). (1/4), (2/3), (3,4), (4/5), (5/6)
B). I'm not sure of this one
4. A). (1/2), (3/4), (7/8), (7/6)
B). (1/6), (3/12), (4/10), (3/4), (4/3)
C). (4/10), (2/4), (4/6), (2,3), (4/5)
Step-by-step explanation:
Sorry if any of this is wrong I tried my best.
Hope you have a good rest of your day. <3
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
60 students are in grade 1, but only 45 students are in
kindergarten. What is the ratio of kindergarten students
to first grade students? Simplify the ratio and write it as
a fraction
HELPP PLEASE!!!
Answer:
Fraction - 60/45
Ratio - 60:45
Simplified ratio - 4:3
Step-by-step explanation:
FILL IN THE BLANK. the quantitative relation between two amounts showing the number of times one value contains or is contained within the other definition. ___
Ratio is the relation between two amounts that shows the number of times one value contains within the other.
What is Ratio?
A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of vegetables contains eight tomato and six carrots, the tomato-to-carrot ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the proportion of carrots to tomato is 6:8 (or 3:4), while the proportion of tomato to overall fruit is 8:14. (or 4:7). A ratio's numbers can be any quantity, such as a count of persons or things, or measures of lengths, weights, time, and so forth. In most situations, both numbers must be positive.
Solution:
Ratio is the relation between two amounts that shows the number of times one value contains within the other.
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PLEASE HELP!!!! The polynomial p (x) = (3 – 2x) (x2 – 5) is graphed in the coordinate plane. Which statement
about the graph is correct?
Did you ever find the answer ?
Use De Morgan's laws to determine whether the two statements are equivalent. (~p∨~q)→r, ~(p∧q)→r
De Morgan's laws state that ~(p∧q) is equivalent to ~p∨~q and ~(p∨q) is equivalent to ~p∧~q. Using this, we can rewrite the second statement ~(p∧q)→r as ~p∨~q→r.
Now, we can compare the two statements:
(~p∨~q)→r and ~p∨~q→r
To determine if they are equivalent, we need to see if they have the same truth value for every possible combination of truth values for p, q, and r.
Let's create a truth table to help us:
| p | q | r | ~p | ~q | ~p∨~q | (~p∨~q)→r | ~p∨~q | (~p∨~q)→r |
|---|---|---|----|----|--------|-------------|--------|-------------|
| T | T | T | F | F | T | T | T | T |
| T | T | F | F | F | T | F | T | F |
| T | F | T | F | T | T | T | T | T |
| T | F | F | F | T | T | F | T | F |
| F | T | T | T | F | T | T | T | T |
| F | T | F | T | F | T | F | T | F |
| F | F | T | T | T | T | T | T | T |
| F | F | F | T | T | T | T | T | T |
As we can see, both statements have the same truth value for every possible combination of truth values for p, q, and r. Therefore, the two statements are equivalent.
We used De Morgan's laws to rewrite ~(p∧q)→r as ~p∨~q→r, then we compared the two statements using a truth table to see if they have the same truth value for every possible combination of truth values for p, q, and r.
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Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. then find the region of the area. y=1/x, y=1/x^2, x=6
The integral for finding the area of the region is:
A = ∫[lower bound]^[upper bound] [rightmost bound] dy
A = ∫[1/6]^∞ [6] dy
To sketch the region enclosed by the curves and determine whether to integrate with respect to x or y, let's analyze the given equations:
y = 1/x
y = 1/x^2
x = 6
To begin, let's plot these curves on a coordinate plane:
First, we can observe that both equations involve hyperbolas. The equation y = 1/x represents a hyperbola that passes through the points (1,1), (2,0.5), (-1,-1), etc. The equation y = 1/x^2 represents a hyperbola that passes through the points (1,1), (2,0.25), (-1,1), etc.
Next, the equation x = 6 represents a vertical line passing through the point (6,0) on the x-axis.
Now, to determine the enclosed region, we need to find the limits of integration.
Since the curves intersect at certain points, we need to find these points of intersection. Equating the two equations for y and solving, we get:
1/x = 1/x^2
Multiplying both sides by x^2 yields:
x = 1
Hence, the curves intersect at x = 1.
Therefore, the region enclosed by the curves is bounded by the following:
The curve y = 1/x,
The curve y = 1/x^2,
The vertical line x = 6, and
The x-axis.
To determine whether to integrate with respect to x or y, we need to consider the orientation of the curves. In this case, the curves are defined in terms of y = f(x). Thus, it is more convenient to integrate with respect to y.
To find the area of the region, we need to set up the integral bounds. Since the region is bounded by the curves y = 1/x and y = 1/x^2, we need to find the limits of y.
The lower bound is determined by the curve y = 1/x^2, and the upper bound is determined by the curve y = 1/x. The vertical line x = 6 acts as the rightmost boundary.
Therefore, the integral for finding the area of the region is:
A = ∫[lower bound]^[upper bound] [rightmost bound] dy
A = ∫[1/6]^∞ [6] dy
Now, we can proceed with evaluating this integral to find the area of the enclosed region.
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6. Find the equation of the tangent line at t = 3. 3 x = t³ +3t+1 y = t² - 4t
The equation of the tangent line to the parametric curve at t = 3 is y = (1/15)x - (82/15).
To find the equation of the tangent line to the parametric curve at t = 3, we need to determine the slope of the curve at that point and the coordinates of the point.
Given the parametric equations:
x = t³ + 3t + 1
y = t² - 4t
We can find the slope of the curve at t = 3 by taking the derivative of y with respect to x and evaluating it at t = 3.
First, let's find dx/dt and dy/dt:
dx/dt = 3t² + 3
dy/dt = 2t - 4
Now, let's find dy/dx by dividing dy/dt by dx/dt:
dy/dx = (dy/dt) / (dx/dt) = (2t - 4) / (3t² + 3)
To find the slope at t = 3, substitute t = 3 into dy/dx:
dy/dx = (2(3) - 4) / (3(3)² + 3)
= (6 - 4) / (27 + 3)
= 2 / 30
= 1/15
So, the slope of the curve at t = 3 is 1/15.
To find the coordinates of the point on the curve at t = 3, substitute t = 3 into the parametric equations:
x = (3)³ + 3(3) + 1 = 27 + 9 + 1 = 37
y = (3)² - 4(3) = 9 - 12 = -3
Therefore, the point on the curve at t = 3 is (37, -3).
Now we have the slope of the tangent line (m = 1/15) and a point on the line (37, -3). We can use the point-slope form of the equation of a line to find the equation of the tangent line.
The point-slope form is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Using the values we found:
x₁ = 37, y₁ = -3, and m = 1/15
The equation of the tangent line at t = 3 is:
y - (-3) = (1/15)(x - 37)
Simplifying:
y + 3 = (1/15)x - (37/15)
Rearranging and simplifying further, we get the equation of the tangent line:
y = (1/15)x - (37/15) - 3
y = (1/15)x - (37/15) - (45/15)
y = (1/15)x - (82/15)
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Square Roots #1
A. The square root of 4356 is an integer. Without a calculator, determine what that
integer is by eliminating possibilities.
Answer:
jackal you have to be there in a few days to get the money for you guys doing anything tonight or tomorrow night at work at the end of the African Americans and you can get a chance to talk about it but I have been there before me so happy for you guys doing today babe and you can do it again and again for everything you do that
Answer:
66
Step-by-step explanation:
Express 4356 as a product of its prime factors
4356 = 2² × 3² × 11² , thus
\(\sqrt{4356}\) = \(\sqrt{2^2}\) × \(\sqrt{3^2}\) × \(\sqrt{11^2}\) = 2 × 3 × 11 = 66
What is the surface area
Answer:
170ft
Step-by-step explanation:
A=2(wl+hl+hw) is the equation
Answer:
SA=170
Step-by-step explanation:
5*5=25, *2=50
5*6=30, *2=60, *2=120
Which of these ordered pairs is a solution to the linear inequality y ≤ 4x – 3?
Responses
(1, 4)
(1, 4)
(1, 5)
(1, 5)
(–2, 5)
(–2, 5),
(2, 5)
Answer:
(2, 5)
Step-by-step explanation:
You want the ordered pair that is a solution to y ≤ 4x -3 from those on the list:
(1, 4)(1, 5)(-2, 5)(2, 5)GraphThe attachment shows a graph of the inequality, along with the offered solution points. The only solution among those shown is (2, 5). That solution lies on the boundary line. The "≤" symbol means the boundary line is included in the solution set.
CalculatorWe can use a calculator to check the solutions, too. Rearranging, we have ...
4x -3 -y ≥ 0
The calculator in the second attachment is able to make this calculation using the list of x-values and the list of y-values. The solution list only has one number that is not less than zero. That corresponds to (x, y) = (2, 5).
__
Additional comment
We like to avoid having to enter the same equation over and over with different data. That is why we have chosen the solution methods here. A spreadsheet can repeat the calculation and comparison for you, too.
#95141404393
Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)
Answer:
x= 4
y= 9
so in that case (x,y) would be (4,9)
then you go down to the x axis and go to 4.
then you go up 9 and that is your first point
same thing for the rest of them so it would be (6,3)
(1,3)
(8,7)
(8,9)
find the value of 24/25 / 4/5
Answer:
6/5
Step-by-step explanation:
I just used a calculator.
Answer:
96/125
Step-by-step explanation:
you order two sandwiches and a drink. the drink cost 1.50. you pay 6% sales tax and leave a 3$ tip. You pay a total of 12.54. how much does one sandwhich cost
Answer:
One Sandwich is $3.75
Step-by-step explanation:
Let S and D stand for the cost of a Sandwhich and Drink, respectively. The cost of your meal was $12.54, for 2 sandwiches, 1 drink, 6% sales tax and a $3 tip. We can write that as:
$12.54 = (2S + 1D)*(1.06) + $3 [The 1.06 factor says "cost of the meal, plus 6% (0.06) sales tax"].
We know D = $1.50, so:
$12.54 = (2S + 1D)*(1.06) + $3
$12.54 = (2S + $1.50)*(1.06) + $3
$12.54 = 2.12S + $1.59 + $3
$12.54 = 2.12S + $4.59
2.12S = $7.95
S = $3.75
One Sandwich is $3.75
=====================
CHECK
Do two sandwiches and one drink cost $12.54 after a 6% tax and $3 tip?
Sandwiches = 2*($3.75) = $7.50
Drink = $1.50
-----
Total Food = $9.00
Tax at 6% = $0.54
Tip =
$3.00
Total = $12.54 YES
The total cost of one sandwich costs approximately $3.75.
How to determine how much does one sandwhich costLet's assume the cost of one sandwich is "x."
The total cost of the drink is $1.50, and the total cost of two sandwiches would be 2x.
The subtotal before tax and tip would be the sum of the drink and two sandwiches:
Subtotal = $1.50 + 2x
Next, let's calculate the total cost after adding the 6% sales tax:
Total cost after tax = Subtotal + (6% of Subtotal)
Total cost after tax = ($1.50 + 2x) + 0.06($1.50 + 2x)
Total cost after tax = $1.50 + 2x + 0.09 + 0.12x
Total cost after tax = $1.59 + 2.12x
Now, let's add the $3 tip to the total cost:
Total cost with tip = Total cost after tax + $3
Total cost with tip = ($1.59 + 2.12x) + $3
Total cost with tip = $4.59 + 2.12x
According to the given information, the total cost with tip is $12.54, so we can set up an equation:
$4.59 + 2.12x = $12.54
Now, we can solve for "x":
2.12x = $12.54 - $4.59
2.12x = $7.95
x = $7.95 / 2.12
x ≈ $3.75
So, one sandwich costs approximately $3.75.
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Please help simple math 50 points
Answer:
2 pizzas
Step-by-step explanation:
5 7/8 - 4 1/16=
5 14/16 - 4 1/16 ==> make the denominators equal to each other so they can be easily subtracted in the next step
5 + 14/16 - (4 + 1/16)=
5 + 14/16 - 4 - 1/16 =
5 - 4 + 14/16 - 1/16 =
1 + 13/16 = 1 13/16 which is approximately 2 pizzas
For a linear regression model, Y₁ = Bo + B₁X₁ + u₁. (1) Suppose there is another variable W, that partly determines Y₁. Which term in the above regression contains the information of W? What happens to the OLS estimator of 3₁ if X, and W, are negatively correlated? (2) Suppose that X, is randmized based on covariate W₁, write down the correct regression model and assumptions for this model. (3) If there are measurement errors in the dependent variable, will it necessarily cause a problem in the ordinary least square estimation? (4) How does the variance of the error term affect hypothesis testing of the regression
(a). The estimation results may not be reliable.
(b). The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.
(c). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.
(d). The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.
(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. In other words, the standard errors of the coefficient estimates increase because the covariance between the explanatory variables is negative, and the variance of the OLS estimator increases as a result.
Hence, the estimation results may not be reliable.
(2). A randomized regression model is a regression model in which a treatment is randomly assigned to the subjects in the sample. The model is used to test whether the treatment affects the outcome variable.
The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.
(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation. In this case, the errors are called measurement errors, which are due to inaccuracies in the measurement of the dependent variable.
If the measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.
(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.
As a result, the t-statistics will be small, and the hypothesis tests will be less powerful.
Conversely, if the variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.
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(1). The estimation results may not be reliable.
(2). The correct regression model is: Y = Bo + B₁X + u.
(3). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.
(4). The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.
How to explain the information(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. Hence, the estimation results may not be reliable.
(2). The model is used to test whether the treatment affects the outcome variable. The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.
(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation.
(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.
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Gerard adds weight to the end of the hanging spring
shown.
The spring stretches to length of p centimeters. Gerard
removes some weight and the spring moves up by a
centimeters.
Answer:
p-(-Q)
Step-by-step explanation:
Because the thing goes down and i got it correct for that answer your welcome
For what value of x do 2x+3 and 3x-6 have the same value
Answer:
x = 9
Step-by-step explanation:
\(2x + 3 = 3x - 6\)
\(3 = x - 6\)
\(x = 9\)
What is 2.66666666667 as a fraction?
The fraction 2.666666666667 equals \(\frac{8}{3}\) .
A fraction is used to represent a portion/part of something larger. It symbolises the equal parts of the whole. A fraction is comprised of two components the numerator and the denominator. The top number is referred to as that of the numerator, and the bottom number is known as the denominator. The denominator specifies the total number of equal parts in a whole, whereas the numerator describes the number of equal parts taken.
2.666667 to fraction conversion:1. Assume that x = 2.666667 (1)
2. Six is the repeating digit.
To the left of the decimal point, put the repeating digit.
In this instance, multiply the decimal point by 10 to move it one place to the right.
Thus,
(x = 2.666667) * 10
Equation 10x = 26.66667 (2)
4. Take Eq. (1) away from Eq (2)
10x - x = 26.66667 - 2.666667
9x = 24
9 divided by both sides
x = \(\frac{24}{9}\) or \(\frac{8}{3}\)
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Write an equation the line passes through (4, 1) and is parallel to y = - 2x + 7
Answer:
y = -2x + 9
Step-by-step explanation:
The equation of the new line is the same as that of this given line, EXCEPT that the constant will be different.
Start with y = mx + b; substitute 1 for y, 4 for x and -2 for m:
1 = -2(4) + b
Then b = 9, and y = -2x + 9
(1) Determine the convergence of the series ∑[infinity]
n=1
(−1)n
4n.
(2) Determine the convergence of the series ∑[infinity]
n=1
n(−1)n
3.5n.
Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges. The series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.
To determine the convergence of a series, we can apply various convergence tests. Let's analyze each series separately:
1. \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\)
This series is an alternating series since it alternates between positive and negative terms. To determine its convergence, we can use the Alternating Series Test. The Alternating Series Test states that if a series of the form \(\sum_{n=1}^{\infty} (-1)^{n-1} \cdot b_n\) satisfies the following conditions:
1. The terms \(b_n\) are positive and decreasing for all n.
2. The limit of \(b_n\) as n approaches infinity is zero.
In our case, \(b_n = 1/(4n)\). Let's check the conditions:
Condition 1: The terms \(b_n = 1/(4n)\) are positive for all n.
Condition 2: Let's calculate the limit of b_n as n approaches infinity:
\(\lim_{{n \to \infty}} \left(\frac{1}{{4n}}\right) = 0\)
Both conditions are satisfied. Therefore, the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{4n}\) converges.
2. \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\)
To determine the convergence of this series, we can use the Ratio Test. The Ratio Test states that for a series \(\sum_{n=1}^{\infty} a_n\) , if the following limit exists:
\(\lim_{{n \to \infty}} \left| \frac{{a_{n+1}}}{{a_n}} \right| = L\)
1. If L < 1, the series converges absolutely.
2. If L > 1, the series diverges.
3. If L = 1, the test is inconclusive.
In our case, \(a_n = \frac{n \cdot (-1)^n}{3.5^n}\) . Let's apply the Ratio Test:
\(\left| \frac{{(n+1) \cdot (-1)^{n+1}}}{{3.5^{n+1}}} \div \frac{{n \cdot (-1)^n}}{{3.5^n}} \right|\)
\(\left| \frac{{(n+1)/n \cdot (-1)^2}}{{3.5}} \right|\)
\(\left| \frac{{n+1}}{{n}} \right| \cdot \frac{1}{3.5}\)
\(\frac{{n+1}}{{n}} \cdot \frac{1}{3.5}\)
Taking the limit as n approaches infinity:
\(\lim_{{n\to\infty}} \left(\frac{{n+1}}{n} \cdot \frac{1}{3.5}\right) = \frac{1}{3.5}\)
Since 1/3.5 < 1, the series \(\sum_{n=1}^{\infty} n \cdot (-1)^n \cdot \left(\frac{1}{3.5}\right)^n\) converges absolutely.
Therefore, both series converge.
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Anybody know this ? Please help :(
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...
Find the length of the segment with endpoints at (2, 7) and (8, -1). using the formula below.
Answer:
10
Step-by-step explanation:
Let (2, 7) = \((x_{1} ,y_{1} )\) and (8, -1) = \((x_{2} ,y_{2} )\)
= \(\sqrt{(8-2)^{2} + (-1 -7)^2}\)
= \(\sqrt{6^2 +(-8^2)}\)
= \(\sqrt{36 + 64}\)
= \(\sqrt{100}\)
= 10
The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.
Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :
Given the endpoints \((x_1,y_1), (x_2, y_2)\)
d = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Given in the question,
\((x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)\)
\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10\)
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There are 650 toothpicks in a regular-sized box. If a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answer: 1950 is how many it will hold.
Step-by-step explanation: