Answer:
Adding 13 to both sides we get x = 8.
Answer:
x = 8
Step-by-step explanation:
x - 13 = -5
x = 8
It takes a machine at a seafood company 20 s to clean 3 1 ib of shrimp _ 3
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:
Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
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Evaluate the distance between the following pair of integers -7 and 41
Answer:
\( 41 - ( - 7) = 41 + 7 = 48\)
Find the missing value to the nearest hundredth sin= 7/25
Answer:
16.26
Step-by-step explanation:
I am not completely sure what the problem is asking, but I believe that you are just supposed to take the inverse of sine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then sine. You use the inverse of sine when two sides are given, but you are not given the angle.
It should look like:
\(sin^{-1}(\frac{7}{25})\), which is approximately 16.26.
Hopefully this is right, if not, please let me know. Good luck.
The musical note e can be modeled by the function, y = asin(1320Ï€x), where a = 1 and x is the time in seconds. playing note e on your computer, you notice that it is not loud enough to be heard across the room. what change can you make to the function to make note e louder than the original? let a < 0. let a > 0. let a > 0 and a < 1. let a > 1 or a < â€"1.
The change that increases the loudness is a > 1
How to determine the change?From the question, the equation of the function that represents the musical note is given as
y = a sin(1320πx)
Where
a = 1 i.e. the amplitudex represents the timeIn sound, the sound loudness is directly proportional to the amplitude.
This means that an increment in the amplitude, would cause the note to become louder
This change is represented as a > 1
This is so because a represents the amplitude, and the initial value is 1
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when using percentiles with normally distributed scores, differences between raw scores may be .
The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.
What is meant by normally distributed?The mean and standard deviation of a normal distribution are 0 and 1, correspondingly. It has a kurtosis of 3 and zero skew.Not every symmetrical distributions are normal, but all normal distributions are symmetrical.68.2% of observations would fall within +/- 1 standard deviation of a mean including all normal distributions, 95.4% will fall in +/- two standard deviations, and 99.7% will fall within +/- 3 different deviations.For the given question.
The difference in the percentiles and raw scores is-
When presented in ascending order in statistics, a percentile rank / score signifies the percentage of the population that drops below it. By translating the raw score into an analogous z-score through using empirical z-distribution table, the percentile for such a raw score may be established.To know more about the normally distributed, here
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For the function -3x^2+12
find the interval over which the function is increasing.
Answer:
The given function is:
f(x) = -3x^2 + 12
To find the interval over which the function is increasing, we need to find the critical points of the function.
f'(x) = -6x
The critical point is where f'(x) = 0
-6x = 0
x = 0
Now, we need to check the sign of f'(x) on either side of the critical point to determine whether the function is increasing or decreasing.
If x < 0, then f'(x) < 0, so the function is decreasing.
If x > 0, then f'(x) > 0, so the function is increasing.
Therefore, the interval over which the function is increasing is:
(0, infinity)
Step-by-step explanation:
gg
Bank ABC offers a 10 -year CD that pays a 5.0% interest compounded annually.
Bank XYZ also offers a 10 -year CD that pays 4.95% interest compounded daily.
How much would a $1,000 initial investment in each bank's CD be worth at maturity?
Bank ABC: ______
Bank XYZ: ______
(Enter answer in the form: $x,x×x.xx )
A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity. A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.
The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:
A = P(1 + r/n)^(nt)
where P is the principal,
r is the annual interest rate,
n is the number of times compounded per year,
t is the number of years, and
A is the value of the CD at maturity.
Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.
Let's calculate the value of a $1,000 investment in Bank ABC's CD.
P = $1,000
r = 5.0% compounded annually
t = 10 years
n = 1
We have all the values; let's put them in the formula and solve:
A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89
Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.
Let's calculate the value of a $1,000 investment in Bank XYZ's CD.
P = $1,000
r = 4.95% compounded daily
t = 10 years
n = 365
We have all the values; let's put them in the formula and solve:
A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82
Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.
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Which table represents a function?
Answer:
A
Step-by-step explanation:
it is A for every output y , there is only one input x
Answer:
A
Step-by-step explanation:
Because all the x-intercepts are different. Whereas all the other ones have repeats of numbers in the x-intercepts.
5.
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
10
-8
12
-6
Answer:
-6
Step-by-step explanation:
x(-y + z)
Let x= 3 y =3 and z =1
3( -3+1)
Parentheses first
3 ( -2)
Then multiply
-6
Answer:
Hello! The answer to your question is -6
Steps will be provided below.
Step-by-step explanation:
This is how to solve your question:
Question:
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
Answer and how to solve:
The answer is -6 because....
If you do the steps correctly it will be...
Do the Parentheses first.
3x-(2)
Now you just multiply and you will get your answer.
Which will give you -6
SO THE ANSWER TO YOUR QUESTION IS -6
⭐️Hope this helps! :) ⭐️
Have a wonderful day! :D
if the total surface area of the six faces of a cube is 60 square centimeters, then the volume, in cubic centimeters, of the cube is
The total surface area of a cube is given by the formula 6s^2, where s is the length of each side of the cube. In this case, the total surface area is given as 60 square centimeters. Therefore, we can set up the equation:
6s^2 = 60.
Dividing both sides by 6, we get:
s^2 = 10.
Taking the square root of both sides, we have:
s = √10.
The volume of a cube is given by the formula s^3. Substituting the value of s, we get:
Volume = (√10)^3 = 10√10.
Hence, the volume of the cube is 10√10 cubic centimeters, which is the final answer.
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Use the precise definition of a limit to prove that lim x->2 5x-7=3, pic also included
We need to use the formal definition of a limit, The definition is:
Let be L be a real number. Then:
\(\lim_{x\to a}f(x)=L\)if, for every ε > 0, there exists a δ > 0 such that if 0 < |x - a| < δ, then |f(x) - L| < ε
In this case, we need to prove:
\(\lim_{x\to2}(5x-7)=3\)Then, we need to find a relationship between ε and δ, so for any value of ε> 0 we can find a value of δ.
We know that, for a given ε > 0, |(5x -7) - 3| < ε, and 0 < |x - 2| < δ
Then:
\(\begin{gathered} |5x-10|<\varepsilon \\ 5|x-2|<\varepsilon \end{gathered}\)Now we can divide each side by 5.
\(|x-2|<\frac{\varepsilon}{5}\)We are now really close from relate the ε and δ.
We can use the triangle inequality:
\(|a+b|<|a|+|b|\)Then, we can add and subtract 1 inside the absolute value:
\(\lvert x-2-1+1\rvert\lt\frac{\varepsilon}{5}\)We have:
\(\lvert x-3+1\rvert\lt\frac{\varepsilon}{5}\)By the triangle inequality:
\(|x-3|+|1|<\lvert x-2\rvert\lt\frac{\varepsilon}{5}\)And since the absolute value of any number is bigger or equal than 0:
\(|x-3|<|x-3\rvert+\lvert1\rvert\lt\lvert x-2\rvert\lt\frac{\varepsilon}{5}\)And we have:
\(|x-3|<\frac{\varepsilon}{5}\)And since ε > 0, ε/5 > 0, we can define:
\(|x-3|<\delta=\frac{\varepsilon}{5}\)And we have proven that:
For a given ε > 0, exists δ = ε/5 such that, if 0 < |x - 2| < δ = ε/5, then |f(x) - L| < ε
subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of .5 inches. 20% of sandwiches are less than inches. (the cumulative standardized normal distribution table indicates a z value of -.84 for 20%) 11.500 11.42 10.58 cannot be determined from the information given
using standard z value, 20% of sandwiches are less than 10.58 inches.
In the given question,
Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.
20% of sandwiches are less than...............inches.
The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.
From the question we know that
Mean(μ) = 11 inches
Standard Deviation(σ) = 0.5 inches
We have to find less than of 20% of sandwiches for z value of -0.84
P(ƶ<z) = 20%
We can write it as
P(ƶ<-0.84) = 20/100
P(ƶ<-0.84) = 0.20
Since z = -0.84
X-μ/σ = -0.84
Now putting the value
X-11/0.5 = -0.84
Multiply by 0.5 on both side
X-11/0.5 *0.5= -0.84*0.5
X-11= -0.42
Add 11 on both side
X-11+11= -0.42+11
X = 10.58
Hence, 20% of sandwiches are less than 10.58 inches.
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Right question is here
Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)
(a) 11.500
(b) 11.42
(c) 10.58
(d) cannot be determined from the information given
assume that a randomly selected subject is given a bone
The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.
Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.
1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.
2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.
3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.
4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.
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. One day the U.S. dollar was worth approximately 100 yen. An exchange of 2500 yen
was made that day. What was the value of the exchange in dollars?
Answer: $25
Step-by-step explanation:
2500/100 = 25
Kamal makes $12.00 an hour at his job. Last week he earned $390. Write and solve an equation to determine how many hours Kamal worked last week. Enter the correct answers in the boxes.
Here is the histogram of a data distribution. All class widths are 1.
What is the median of the distribution?
A. 7
B. 4
C. 9
D. 5
Answer:
D) 5
Step-by-step explanation:
1,2,2,3,3,3,4,5,6,6,7,7,7,8,9
there are 15 data values so the 8th one is the median
While Mary Corens was a student at the University of Tennessee, she borrowed $15,000 in student loans at an annual interest rate of 9%. If Mary repays $1,800 per year, then how long (to the nearest year) will it toke her to fepay the loan? Do not round intermediate caiculations. Round your answer to the nearest whole number.
To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.
it will take Mary approximately 8 years to repay the loan.
By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.
Loan amount: $15,000
Annual repayment: $1,800
Number of years = Loan amount / Annual repayment
Number of years = $15,000 / $1,800
Number of years ≈ 8.33
Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.
It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.
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The company profile and goals are briefly mentioned in the _____.
The company profile and goals are briefly mentioned in the company's mission statement. This statement encapsulates the essence of the organization, outlining its purpose, values, and objectives.
It serves as a guiding principle for the company's actions and decisions, providing a clear direction for employees, stakeholders, and customers. The mission statement typically highlights the company's core competencies, target market, and desired impact on society. It is often crafted to be concise, memorable, and inspirational, reflecting the company's vision for the future. By summarizing the company profile and goals, the mission statement acts as a compass, aligning all aspects of the organization towards a common purpose.
The mission statement is a concise declaration that captures the essence of the company's identity, values, and ambitions. It outlines the company's goals and aspirations in a brief and compelling manner. Typically, the statement includes key elements such as the company's core values, unique selling proposition, target audience, and desired impact on society. It communicates what the company aims to achieve and how it intends to make a difference in the world. The mission statement serves as a unifying force, providing a clear sense of direction and purpose to employees, stakeholders, and customers. It helps to define the company's profile by highlighting its distinctive attributes and long-term objectives.
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Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c ∗
log(h). log(11a⋅17b)
Arguments of the functions in parentheses and included a multiplication sign between the terms c * log(h) * log(11a * 17b).
In mathematics, functions are defined as an expression that gives a single output for each input. Arguments are the
values that are entered into a function's parentheses. The multiplication sign between terms is included in a function
expression as well as enclosing the arguments of functions in parentheses. Here is how this can be
demonstrated:$$\large f(x,y) = x^2 + y^2$$In this expression, `x` and `y` are arguments. The function adds together their
squares to obtain the output. In contrast, consider the expression $$\large g(x,y) = x * y$$This function multiplies the
values of `x` and `y`. We enclose the arguments of the function in parentheses like this:$\large g(x,y) = (x)*(y)$Now, let's
look at an example:$$\large f(a,b) = log(11a⋅17b)$$In this example, `11a⋅17b` is the argument. We must enclose the
argument in parentheses to denote that this is the input to the function. Therefore, the correct way to write this function
is:$$\large f(a,b) = log((11a⋅17b))$$We include the multiplication sign between the `11a` and `17b` to make it clear that the
expression is being multiplied. The arguments of the functions in parentheses and included a multiplication sign
between the terms c * log(h) * log(11a * 17b).
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What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?
o q≠1 and q≠−8
o q≠−1 and q≠8
o q≠−1 and q≠4
o q≠1 and q≠−4
The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)
The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:
q² + 3q - 4 = 0
Now, we can factorize the quadratic equation:
(q + 4)(q - 1) = 0
To find the values of q, we set each factor equal to zero and solve for q:
q + 4 = 0 or q - 1 = 0
Solving these equations, we get:
q = -4 or q = 1
So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.
Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.
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Complete Question:
What are the domain restrictions of q²−7q−8/q²+3q−4?
a) q≠1 and q≠−8
b) q≠−1 and q≠4
c) q≠1 and q≠−4
d) q≠−1 and q≠8
question 5 a data analyst creates a scatterplot with a lot of data points. the analyst wants to make some points on the plot more transparent than others. what aesthetic should the analyst use?
Analyzers should use the Alpha aesthetic. Using the Alpha aesthetic, specific points on a scatterplot are more transparent than others to highlight specific data points.
What is a scatterplot?A scatter plot is a collection of dots that are plotted along horizontal and vertical axes. Scatter plots are essential in statistics (also known as variables) for illustrating whether or not there is a link between observed quantities or events. A scatter plot displays data points on a horizontal and vertical axis to highlight the effect of one variable on another. Each row in the data table is represented by a marker, the location of which is determined by the column values on the X and Y axes. This line illustrates the prevalent direction of a phenomena using a scatter plot. A trend line can be used in a scatter plot to indicate the direction and pace of price changes.
Here,
The Alpha aesthetic should be used by analysts. To emphasize certain data points, use the Alpha aesthetic to make specific points on a scatterplot more transparent than others.
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Select the three equations that are correct.
A
56 ÷ 7 = 8
B
8 × 4 = 34
C
64 ÷ 9 = 7
D
42 ÷ 7 = 6
E
6 × 9 = 54
Answer:
A
C
D
Step-by-step explanation: Every other answer is wrong
Answer:
A, C,
Step-by-step explanation:
53. (a) if the symbol \(\lbrack\rbrack\) denotes the greatest integer function defined in example 10 , evaluate
(i) \(\lim _{x\rightarrow-2^+}\lbrack x\rbrack\)
(ii) \(\lim _{x\rightarrow-2}\lbrack x\rbrack\)
(iii) \(\lim _{x\rightarrow-2.4}\lbrack x\rbrack\)
If x is between two consecutive integers such that n ≤ x < n + 1, then the greatest integer function [x] maps x to the largest integer smaller than x so that [x] = n.
(i) If x is approaching -2 from above, that means x > -2. As x gets closer to -2, we essentially have -2 < x < -1, so that [x] will approach
\(\displaystyle \lim_{x\to-2^+} [x] = \boxed{-2}\)
(ii) However, if x is approaching -2 from below, then x < -2, so that [x] = -3. In other words
\(\displaystyle \lim_{x\to-2^-} [x] = -3 \neq -2\)
Because the one-sided limits do not match, the two-sided limit
\(\displaystyle \lim_{x\to-2} [x] ~~\boxed{\text{does not exist}}\)
(iii) -2.4 lies between -3 and -2, so
\(\displaystyle \lim_{x\to-2.4} [x] = \boxed{-3}\)
think about dividing 12 ones into 3 groups what is the greatest number of ones you can put in each group
The greatest number of ones you can put in each group is 4.
What is the greatest number in the group?
If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number. If the numbers are arranged from the greatest to the least, then it is called descending order.
If you have 12 ones and you want to divide them into 3 groups, the greatest number of ones you can put in each group is 4.
To see why this is the case, you can start by dividing the ones into 3 equal groups of 4:
Group 1: 1111
Group 2: 1111
Group 3: 1111
As you can see, each group has 4 ones.
If you try to put more than 4 ones in a group, you will not be able to have an equal number of ones in each group.
For example, if you try to put 5 ones in a group, you will only have 2 ones left for the other two groups, and they will not be able to have 4 ones each:
Group 1: 1111
Group 2: 11111 (not possible)
Group 3: 1
Therefore, the greatest number of ones you can put in each group is 4.
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solve the equation: - 9 + x = 17
Answer:
x = 26
Step-by-step explanation:
Start with - 9 + x = 17, or -9 + x = 17
Solve for x by isolating x on the left side. To do this, add 9 to both sides, obtaining x = 26
Using the integral test, find the values of p� for which the series [infinity]∑n=21n(lnn)p∑�=2[infinity]1�(ln�)� converges. For which values of p� does it diverge? Explain
The integral test states that if a series is a sum of terms that are positive and decreasing, and if the terms of the series can be expressed as the values of a continuous and decreasing function, then the series converges if and only if the corresponding improper integral converges.
Let's apply the integral test to the given series. We need to find a continuous, positive, and decreasing function f(x) such that the series is the sum of the values of f(x) for x ranging from 2 to infinity.
For the first series, we have:
∑n=2∞n(lnn)p
Let f(x) = x(lnx)p. Then f(x) is continuous, positive, and decreasing for x ≥ 2. Moreover, we have:
f'(x) = (lnx)p + px(lnx)p-1
f''(x) = (lnx)p-1 + p(lnx)p-2 + p(lnx)p-1
Since f''(x) is positive for x ≥ 2 and p > 0, f(x) is concave up and the trapezoidal approximation underestimates the integral. Therefore, we have:
∫2∞f(x)dx = ∫2∞x(lnx)pdx
Using integration by substitution, let u = lnx, then du = 1/x dx. Therefore:
∫2∞x(lnx)pdx = ∫ln2∞u^pe^udu
Since the exponential function grows faster than any power of u, the integral converges if and only if p < -1.
For the second series, we have:
∑n=2∞1/n(lnn)²
Let f(x) = 1/(x(lnx)²). Then f(x) is continuous, positive, and decreasing for x ≥ 2. Moreover, we have:
f'(x) = -(lnx-2)/(x(lnx)³)
f''(x) = (lnx-2)²/(x²(lnx)⁴) - 3(lnx-2)/(x²(lnx)⁴)
Since f''(x) is negative for x ≥ 2, f(x) is concave down and the trapezoidal approximation overestimates the integral. Therefore, we have:
∫2∞f(x)dx ≤ ∑n=2∞f(n) ≤ f(2) + ∫2∞f(x)dx
where the inequality follows from the fact that the series is the sum of the values of f(x) for x ranging from 2 to infinity.
Using the comparison test, we have:
∫2∞f(x)dx = ∫ln2∞(1/u²)du = 1/ln2
Therefore, the series converges if and only if p > 1.
In summary, the series ∑n=2∞n(lnn)p converges if and only if p < -1, and the series ∑n=2∞1/n(lnn)² converges if and only if p > 1. For values of p such that -1 ≤ p ≤ 1, the series diverges.
To find the values of p for which the series converges or diverges using the integral test, we will first write the series and then perform the integral test.
The given series is:
∑(n=2 to infinity) [1/n(ln(n))^p]
Now, let's consider the function f(x) = 1/x(ln(x))^p for x ≥ 2. The function is continuous, positive, and decreasing for x ≥ 2 when p > 0.
We will now perform the integral test:
∫(2 to infinity) [1/x(ln(x))^p] dx
To evaluate this integral, we will use the substitution method:
Let u = ln(x), so du = (1/x) dx.
When x = 2, u = ln(2).
When x approaches infinity, u approaches infinity.
Now the integral becomes:
∫(ln(2) to infinity) [1/u^p] du
This is now an integral of the form ∫(a to infinity) [1/u^p] du, which converges when p > 1 and diverges when p ≤ 1.
So, for the given series:
- It converges when p > 1.
- It diverges when p ≤ 1.
In conclusion, using the integral test, the series ∑(n=2 to infinity) [1/n(ln(n))^p] converges for values of p > 1 and diverges for values of p ≤ 1.
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x divided by six eqauls twentyfive
x/6=25
Answer:
x = 150Step-by-step explanation:
x / 6 = 25
x = 25 (6)
x = 150
Answer: x=150
Step-by-step explanation:
Austin makes $11 per hour when he babysits for his younger siblings. Answer the questions below regarding the relationship between the hours spent babysitting and the total money earned.
The independent variable, x, represents the__________, and the dependent variable is the ___________, because the _______________depends on the___________.
A function relating these variables is Z(x) =_______.
So Z(5) =____, meaning 5______ _______ _______ .
Answer:
The independent variable, x, represents the hours spent and the dependent variable is the money earned, because the money earned depends on the hours spent in baby sitting.
A function relating these variables is Z(x) =11(x)
Z(5) = $55
Step-by-step explanation:
We have two variables, money earned and hour spent.
So, money depends on hour spent.
The independent variable, x, represents the hours spent and the dependent variable is the money earned, because the money earned depends on the hours spent in baby sitting.
A function relating these variables is Z(x) =11(x)
Where x is the number of hours spent and Z(x) is money earned
So Z(5) = $55, meaning 5 hours are spent by Austin for babay sitting so, we have x= 5
Putting x=5 in the equation we get:
Z(x)=11x
Z(5)=11(5)
Z(5)=$55
Answer:
The independent variable, x, represents the number of hours babysitting, and the dependent variable is the amount of money earned, because the amount of money earned depends on the number of hours babysitting.
A function relating these variables is Z(x) =Z(x)= 11.
So Z(5)= 55, meaning 5 hours of babysitting will get x=5 dollars in earnings.
Step-by-step explanation:
Dusty is dividing 700 pencils into groups of 25 for each classroom. How many classrooms are there?
Answer:
28
Step-by-step explanation
28 times 25 is 700
Answer:
28
Step-by-step explanation:
Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140
Answer:
A is correct answer
Step-by-step explanation:
\((3000 + 500 + 50) \div 25 \\ \)
\((3550) \div 25\)
\( = = > 3550 \div 25\)
Thanks
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