Answers
Answer:
5555555555555555555555555555
Related Questions
Consider the seriessum_{n=1}^infty frac{1}{n(n+3)}Determine whether the series converges, and if it converges, determine its value. Converges (y/n): Value if convergent (blank otherwise):
Answers
The value of the series is frac{11}{18}. This series converges. To see why, we can use the comparison test with the series sum_{n=1}^infty frac{1}{n^2}, which is a known convergent series.
Specifically, we have frac{1}{n(n+3)} < frac{1}{n^2} for all n >= 1, and so by comparison, the given series converges as well.
To find the value of the series, we can use partial fractions to write:
frac{1}{n(n+3)} = frac{1}{3n} - frac{1}{3(n+3)}
Then, we can split up the series into two telescoping sums:
sum_{n=1}^infty frac{1}{n(n+3)} = sum_{n=1}^infty (frac{1}{3n} - frac{1}{3(n+3)})
= (frac{1}{3(1)} - frac{1}{3(4)}) + (frac{1}{3(2)} - frac{1}{3(5)}) + (frac{1}{3(3)} - frac{1}{3(6)}) + ...
Notice that most of the terms cancel out, leaving us with just:
sum_{n=1}^infty frac{1}{n(n+3)} = frac{1}{3} (1 + frac{1}{2} + frac{1}{3})
= frac{11}{18}
Therefore, the value of the series is frac{11}{18}.
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Triangle ABC has a perimeter of 22cm
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle
PLSSS HELPPPP
Answers
ABC is NOT a right triangle because the Pythagorean theorem fails
AC=22 - (8+5) = 22 - 13 = 9
9^2+13^2 = 81 +169=250
22^2 = 484
First 5 multiples of
2a
3b
4c
5d
11e
Answers
Answer:
2=4,6,8,10,12
3=6,9,12,15,18
4=8,12,16,24,32
5=10,15,20,25,30
11=22,33,44,55,66
If the 6am temperature in Durango, Colorado was -8° F and the temperature rose 15° by 2pm, then what would the temperature be at 2pm?
Answers
-8° + 15° = temperature at 2pm
• When adding a positive to a negative, we are subtracting the numbers and taking the sign of the greater number. The equation is represented as so:
(-) + (+) = (+)
The general rule corresponding to this equation is that the answer acquires the sign of the greater number. In this case, because 15 is greater than 8, our answer will be a positive number.
-8 + 15 = 7
From 6am to 2pm, the temperature would have risen from -8° Fahrenheit to 7° Fahrenheit. If you need any extra help, let me know and I will gladly assist you.
find the coordinates for the center of a circle with a diameter having endpoints at (0,2) and (-9,-2)
Answers
Answer:
(x−2)2+(y+1)2=100
Explanation:
the standard form of the equation of a circle is
2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2 where ( a , b ) are the coordinates of the center and r is the radius to find the center we require the midpoint of the 2 given points center = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ] center = ( 2 , − 1 ) the radius is the distance from the center to either of the 2 given points calculate the radius using the distance formula ∙ d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2 let ( x 1 , y 1) = ( 2 , -1 ) and ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ← equation of circle
Pls help me I will merl you as brain
Answers
Answer:
it's the third one 99% Shure if not can you please tell me
A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.
Answers
——————————————————
non-constant speed
———_____——^——____——
Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answers
Answer:
The equations are: \(x+ y = 30\) and \(x = 3y\).
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable \(x\).
and the time spend by Brittany on the rowing machine be represented by the variable \(y\).
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;\(x + y = 30 \text{ minutes}\)
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;\(x = 3y\)
So, the equations are: \(x+ y = 30\) and \(x = 3y\).
These equations can be solved either using the substitution method or the elimination method.
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a
Answers
Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2 such that f'(c) = 0.
Given:
Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.
f(x)=x^2−4x+8, [0,4]
when, x = 0
f(x) = x^2 -4x +8
f(0) = y = 0 - 0 + 8 = 8
when, x=4
f(5) = y = 16 - 16+8 =
thus, we have 2 points (0, 8) ; (4, 8)
slope,m = {8-(8)} / {4-0} = 0
hence, we have to calculate all the points,x where 0<x<8 and slope=0
f '(x) = 2x - 4 = 0
or, f '(c) = 2c - 4 = 0
c = 4/2 =2 ( 0<x<4)
hence, the there is only one solution c=2 which satisfies Rolle's theorem.
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Select the sentence that correctly describes the value returned by Post-order(), where r is the root of a tree.
Post-ordery) Count-0
For every child w of v Count Count +1
End-for
For every child w of v x-Post-order w
End-for
If (x>Count) Count-x
Return Count)
A) The height of the tree
B) The number of leaves in the tree
C) The number of internal vertices in the tree
D) The largest number of children belonging to any vertex in the tree
Answers
The value returned by Post-order() described in the given code is the number of internal vertices in the tree.
The code is recursively traversing the tree in post-order, meaning that it first visits all the children of a vertex and then the vertex itself. For each child w of a vertex v, it increments the Count variable to keep track of the number of children.
Then, it recursively calls Post-order on each child w of v, which also updates the Count variable by counting the number of internal vertices in the subtree rooted at w. Finally, it checks if the variable x is greater than Count and, if so, subtracts x from Count. This step is not relevant to determining the return value, which is always Count. Therefore, the correct answer is (C) the number of internal vertices in the tree.
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Find the surface area of the regular pyramid.
Answers
Answer:the surface area of the pyramid is
16 square feet
Step-by-step explanation:
I found this on a website called quizlet and it showed the answer to this problem
7. Angelica is running laps on the school's 1/4 mile track. If she completes 2 miles after
school one day, how many laps does she run?
Equation:
Solution:
Answers
Answer:8
Step-by-step explanation:
2 divided by 1/4 is 8.
2/.25=x
X=8
Explanation: if one lap is .25 of a mile then two laps would be half a mile > 4 laps would be one mile > 8 laps would be 2 miles.
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15. What number of degrees of freedom should we use?.
Answers
We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.
Given that,
Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.
We have to find how many degrees of freedom should we utilize.
We know that,
The answer to the problem is
A 95% confidence interval is being created.
The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.
As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.
Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.
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Which step could be used to help isolate the variable in the following equation? 5. 6j – 0. 12 = 4 1. 1j.
Answers
For the expression 5.6j - 0.12 = 4 + 1.1j, the value of variable j is 0.92.
What is the property of equality?
The operations of addition, subtraction, multiplication, and division do not change the truth value of any equation is called the property of equality.
The given expression is 5.6j - 0.12 = 4 + 1.1j.
To solve the above expression, we will use the following steps.
Step 1:
By the subtraction property of equality, subtract 1.1j on both sides. We get the expression,
\(5.6j - 0.12 -1.1j = 4 + 1.1 j - 1.1 j\)
\(4.5 j -0.12 = 4\)
Step 2:
By the addition property of equality, add 0.12 on both sides. We get the expression,
\(4.5j -0.12 + 0.12 = 4 + 0.12\)
\(4.5 j = 4.12\)
Step 3:
By the division property of equality, divide the above expression by 4.5. We get the expression,
\(\dfrac {4.5j}{4.5 }= \dfrac {4.12}{4.5}\)
\(j = \dfrac {4.12}{4.5}\)
\(j = 0.92\)
Hence we can conclude that the value of variable j is 0.92.
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Graph the rational function (x^2-8x+12)/(x-6)
Answers
Answer:
Step-by-step explanation:
\(f(x)=\frac{x^{2} - 8 x + 12}{x - 6}\)
VERTICAL ASYMPTOTES
The line x = L is a vertical asymptote of the function \(y=\frac{x^{2} - 8 x + 12}{x - 6}\)
, if the limit of the function (one-sided) at this point is infinite.
In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.
So, find the points where the denominator equals 0 and check them.
x=6, check:
\(\lim_{x \to 6^+}\left(x - 2\right)=4\)
Since the limit is finite, check another limit.
\(\lim_{x \to 6^-}\left(\frac{x^{2} - 8 x + 12}{x - 6}\right)=4\)
Since the limit is finite, then x=6 is not a vertical asymptote.
HORIZONTAL ASYMPTOTES
Line y=L is a horizontal asymptote of the function y=f(x), if either \(\lim_{x \to \infty} f{\left(x \right)}=L\)
or \(\lim_{x \to -\infty} f{\left(x \right)}=L\) , and L is finite.
Calculate the limits:
\(\lim_{x \to \infty}\left(\frac{x^{2} - 8 x + 12}{x - 6}\right)=\infty\)
\(\lim_{x \to -\infty}\left(\frac{x^{2} - 8 x + 12}{x - 6}\right)=-\infty\)
Thus, there are no horizontal asymptotes.
SLANT ASYMPTOTES
Do polynomial long division \(\frac{x^{2} - 8 x + 12}{x - 6}=x - 2\) Thus, the slant asymptote is y=x−2.
Answer
No vertical asymptotes.
No horizontal asymptotes.
Slant asymptote: y=x−2
a sports tournament has 8 teams. each team has n players. using n, write an expression for the total numbers of players in the tournament
Answers
Answer:
8n.
Step-by-step explanation:
You would be multiplying the amount of teams by the number of members to find the total members, hence 8 times n.
Help please due in an 1 hour!!
Answers
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
Find the slope from the following table:
x y
-7 2
-6 4
-5 6
-4 8
-3 10
-1/2
-2
1/2
2
Answers
Answer : 2
Step-by-step explanation:
Slope is a ratio, Slope = rise/run. This can also be described as "the change in Y" / "The change in X"
So, using the table, find the rate of change in the y-values and the x-values.
y = mx + b
slope : m
x=-7, y=2 : -7m + b = 2 (1)
x=-6, y=4 : -6m + b = 4 (2)
(2)-(1) => m= 2
.Question.[Mathematics]
6! =
7! =
Answers
\( \: \: \: \: \: \: \)
\(6! = 720 \\ \\ 7! = 5040\)
Step-by-step explanation:
\(6!\)
Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial\(6 \times 5 \times 4×3× 2×1\)
calculate the product\( = 720\)
\(7! = \)
Usen! - nx(n-1)×...*x2x1 to = calculate the factorial\(7 \times 6 \times 5 \times 4×3×2×1\)
calculate the product\( = 5040\)
hope it helps\( \: \: \: \: \: \: \: \)
Answer:
720 and 5040
Step-by-step explanation:
Using the definition of n! ( n factorial )
n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
Answers
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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Ik this is easy asl n I may be slow asl. But help me anyways
Answers
Answer:
constant linear function because it is a straight line with no endpionts, therefore it is CONSTANT
Step-by-step explanation:
Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock price?
Answers
Answer:
68
Step-by-step explanation:
Step 1:
( 70 + 2 ) - 4
Step 2:
72 - 4
Answer:
68
Hope This Helps :)
Here is a number machine
n - +2 - x3 - .................
write down an expression for the output when the input is n.
here is another number machine
x - ........ - ........... - 4x +5
what operations should go in the boxes to make it work?
Answers
The operations should go in the boxes are x - 4 - /2 - 5 = 3
What are operations ?
In mathematics, an operation is a mathematical process that takes one or more input values and produces an output value. The most common operations are:
According to the question:
For the first number machine, the expression for the output when the input is n is:
\(n - +2 - x3 - ...\)
This means that the input n is first subtracted from itself (n - n = 0), then 2 is added to the result (0 + 2 = 2), then the cube of the result is taken, and so on for the remaining operations. So, the expression for the output is:
\(n - +2 - x3 - ... = (...((n - n + 2)^3) ...)\)
For the second number machine, the operations that should go in the boxes to make it work are:
\(x - 4 - /2 - 5\)
This means that the input x is first subtracted from itself (x - x = 0), then 4 is subtracted from the result (0 - 4 = -4), then the result is divided by 2 (-4 / 2 = -2), and finally 5 is added to the result (-2 + 5 = 3).
So, the output is: x - 4 - /2 - 5 = 3
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A researcher measures the relationship between two variables, X and Y. If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then what is the value of the correlation coefficient?
A) 0.32
B) 0.34
C) 0.60
D) almost a zero correlation
Answers
The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
Given that a researcher measures the relationship between two variables, X and Y.
If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.
Correlation coefficient:
The correlation coefficient is a statistical measure that determines the degree of association between two variables.
It is denoted by the symbol ‘r’.
The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.
How to calculate correlation coefficient?
The formula to calculate the correlation coefficient is as follows:
r = SS(XY)/√[SS(X)SS(Y)]
Now, substitute the given values, we get:
r = 340/√[320000]r = 0.34
Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
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(Mandelbrot) In a certain lottery, 7 balls are drawn at random from n balls numbered from 1 through n. If the probability that no pair of consecutive numbers is drawn equals the probability of drawing exactly one pair of consecutive numbers, find n
Answers
If P=Q and both P and Q are positive, then n = 54.
To determine the value of n:
We can start by computing the number of ways to place k balls into n slots such that no two consecutive slots are filled (this will be n! times the probability that no two consecutive numbers are drawn).Call this Np(n,k).
To do that, note that either the last slot on the right is filled or not. In either case, group each of the balls (except possibly the ball going into the last slot) with a dummy ball to its right; you can do this because every ball must have an empty slot to its right. Consider the two cases separately.If there is no ball in the last slot, then we have k clumps to place but our clumping has "cost" us k slots, so there are (n−k, k) ways to do this. If there is a ball in the last slot, then we have k−1 clumps to place among only n−1 slots and our clumping has "cost" you just k−1 slots, so there are (n−k, k−1) ways to do this. Np(n,k)=(n−k,k)+(n−k,k−1)=(n−k+1k)Try it out for n=7,k=3 where it is easy enough to list the 20 arrangements having exactly one touching pair: (3−1)(52)=20.Lastly, specialize to k=7 and we have to find some n such that Nq(n,k)=Np(n,k).
(n−6, 7)=6(6, 6)(n−6)(n−7)⋯(n−11)(n−12)/7! = 6(n−6)(n−7)⋯(n−11)/6!n−12/7 = 6n = 54Therefore, if P=Q and both P and Q are positive, then n = 54.
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The correct question is given below:
In a certain lottery, 7 balls are drawn at random (without replacement) from n balls numbered 1 through n.
Let P be the probability that no pair of consecutive numbers is drawn. Let Q be the probability that exactly one pair of consecutive numbers is drawn.
If P=Q and both P and Q are positive, then determine n with proof.
Solve for x 4x−8=3x−8
Answers
Answer:
x = 0
Step-by-step explanation:
Step 1: Subtract 3x from both sides
x - 8 = 8
Step 2: Add 8 to both sides
x = 0
Answer:
x = 0
Step-by-step explanation:
1. Get rid of the equal terms
4x = 3x
2. Move the variables to the left side
4x - 3x = 0
3. Collect the like times
4x - 3x = 0
x = 0
Hope this helps!
How many roots does this function have in common f(x)=x^2-4x-5
Answers
What's the scale factor!!!! Please help
Answers
Answer:
scale factor is 1:4
Step-by-step explanation:
the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)
A bag contains 16 red marbles, 9 yellow marbles, and 5 blue marbles. If a red marble is drawn, you lose $5. If a yellow marble is drawn, you win $5. If a blue marble is drawn, you win $10. It costs $0.50 to play. Should you play the game?
Answers
Answer:
No
Step-by-step explanation:
Because if red marble is drawn you will lose $5, and the red marble has the biggest number of all the marbles so there is a big probability for you lose $5
After 8 years, what is the total amount of a compound interest investment of $25,000 at 3% interest, compounded quarterly?
Answers
The correct answer is: D) $31,752.78
Explanation:
The formula for compound interest is:
where A is the total amount, p is the principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.
The principal in this problem is 25,000; the interest rate is 3% = 3/100 = 0.03; the number of times the interest is compounded is 4; and the number of years is 8: