Answers
The limit of the given expression when we put the values of n and k is: γ = 0
How to find the limits?We want to find the limit of the function as n tends to infinity:
lim n → ∞ [tex]\lim_{n \to \infty} \Sigma \frac{1}{k} - In (n)[/tex] for k = 1
n → ∞ simply means that n is approaching zero. Thus, we can simplify our expression when we put the limit for n to get:
1/k - 1
At k = 1, we have:
(1/1) - 1 = 0
Thus, γ = 0
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Related Questions
there are 40 students in ms. vitales wednesday night aerobics class of the 40 students 30% are african american 45% are caucasian and the rest are hispanic how many of the students in the aerobics class are hispanic
Answers
Hence ,10 Hispanic students in Ms. Vitals Wednesday night aerobics class.
What is the aerobics class?Aerobics is a form of physical exercise that combines rhythmic aerobic exercise with strength and stretching training routines with the goal of improving all elements of fitness ( cardio-vascular fitness, flexibility and muscular strength ).
How to find percentage?The percentage can be found by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: [tex]\frac{value}{total value}[/tex]×100%.
To find out how many of the students in Ms. Vitals aerobics class are Hispanic,
first of all to determine the percentage of students are not African American or Caucasian.
The percentage of students are African American is 30%, and the percentage are Caucasian is 45%. Therefore, the percentage of students are not African American or Caucasian is;
100% - 30% - 45% = 25%
So, 25% of the students in the aerobics class are Hispanic.
To find the number of students are Hispanic, we need to calculate 25% of the total number of students;
25% of 40 students = [tex]\frac{25}{100}[/tex] x 40 = 0.25×40=10 students
Therefore, there are 10 Hispanic students in Ms. Vitals Wednesday night aerobics class.
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Determine whether f(x)=x9+43
and g(x)=9x+12
are inverses. Explain your reasoning.
Answers
Answer:
the abswer is D
Step-by-step explanation:
[f○g](x)=(9x+12)/9+8/3=x+8/3
[g○f](x)=9(x/9 + 4/3)+12=x+24
so for the same x they are not inverses
9207 divided by 4 long division
Answers
Answer:
9207 divided by 4 = 2301 with a remainder of 3
Step-by-step explanation:
(check the attached document)
Need help will give brainliest and 5 stars! :)
Answers
The evaluations of the given expressions are:
(a) ln e⁻³ = -3
(b) e^(ln 5) = 5
(c) e^(ln √3) = √3
(d) ln (1 / e⁵) = -5
Evaluating an expressionFrom the question, we are to evaluate the given expressions.
The given expressions contain natural logarithm and exponential functions.
The natural logarithm is the inverse of the exponential function.
Thus,
ln eˣ = x
Likewise
e^(ln x) = x
Applying these rules to the given expressions, we get
(a) ln e⁻³ = -3
(b) e^(ln 5) = 5
(c) e^(ln √3) = √3
(d) ln (1 / e⁵)
This can be written as
ln (e⁻⁵) = -5
Thus,
ln (1 / e⁵) = -5
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What is the area, in square meters, of the shape below?
Answers
Answer:
A = 15.87 m²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 6.9 and h = 4.6 , then
A = [tex]\frac{1}{2}[/tex] × 6.9 × 4.6 = 3.45 × 4.6 = 15.87 m²
offering 15 points please help
Answers
Answer: p=[tex]\frac{4m}{3}[/tex] last one
Step-by-step explanation:
Varies directly means y=kx
here p=km
m= 1 1/2 =3/2
p=2
plug to solve for k
2=k(3/2)
k=4/3
plug back in p=4m/3
Tyler invests $9700 in two different accounts. The first account paid 10 %, the second account paid 9 % in interest. At the end of the first year he had earned $931 in interest. How much was in each account?
Answers
Tyler invested $5800 in the first account and $3900 in the second account.
What is simple and compound interest?Simple interest is interest that is calculated solely on a loan's or investment's principal amount, without taking into account any interest that has accrued over time. For instance, regardless of how long you keep the money in the account, if you deposit $1,000 in a savings account that offers 5% simple interest annually, you will make $50 in interest each year. Contrarily, compound interest accounts for both the original principal and the interest that has accrued over time. This means that interest is calculated on the new, higher balance after the interest collected during each period is applied to the principal amount.
Let us suppose the amount invested in first account = x.
The amount in second account = y.
Thus, according to the statements we have:
x + y = 9700 (total amount invested is $9700)
0.10x + 0.09y = 931
Now from the first equation we can write:
y = 9700 - x
Substituting the value of y we have:
0.10x + 0.09(9700 - x) = 931
0.10x + 873 - 0.09x = 931
0.01x = 58
x = 5800
Now, substituting the value of x we have:
y = 9700 - 5800
y = 3900
Hence, Tyler invested $5800 in the first account and $3900 in the second account.
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the length of two sides of a triangle are 5.3 and 0.4. find the length of the third side if it is an integer.
Answers
Answer: It is not possible for the length of the third side of a triangle to be an integer when the lengths of the other two sides are not integer.
Step-by-step explanation:
When the other two sides of a triangle are 5.3 and 0.4 in length, the third side cannot possibly have an integer length. This is so because any two sides of a triangle must have lengths that are greater than the length of the third side. In this instance, 5.3 + 0.4 = 5.7, which still falls short of any integer number for the third side's length.
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Answer: 5
Step-by-step explanation:
5.3+0.4=5.7
5.3-0.4=4.9
4.9<x<5.7
The only possible integer between these two numbers is 5, so the correct answer is 5.
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are differe
Answers
Both the domain and range of the transformed function are the same as those of the parent function.
What are Range and Domain?
The collection of all potential output values that a function can generate given its domain is known as its range.
The set of all potential input values for which a function is specified is referred to as its domain.
The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.
Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.
A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.
Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.
A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well
So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.
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*Photo*
Scatter plot photos from last
post
Need asap by 11am
Answers
Answer:28 or 29 can't tell if the x is supposed to be on the 28 or 29
Step-by-step explanation:
Carla and Hattie are playing a game and trying to decide who will start first. Which method assures that each of them has a fair chance of being selected to go first? Flip a fair coin. If it lands on heads, Carla will go first. If it lands on tails, Hattie will go first. Create a spinner with four equal-sized regions. Color each region a different color: red, green, blue, and purple. If the spinner lands on red, Carla will go first. If the spinner lands on green, Hattie will go first. If the spinner lands on blue, Carla will go first. If the spinner lands on purple, spin again. Roll a number cube with numbers from 1 to 6. If the number rolled is greater than 4, Carla will go first. Otherwise, Hattie will go first. Draw a card from an ordinary deck of 52 playing cards. If the drawn card is a club, Hattie will go first. If the drawn card is a diamond, Carla will go first. If the drawn card is a heart, Hattie will go first. If the drawn card is a spade, draw again.
Answers
The selection method that assures a fair chance of being selected to go first between Carla and Hattie is A) Flip a fair coin. If it lands on heads, Carla will go first. If it lands on tails, Hattie will go first.
What is a fair chance?A fair chance is based on an equal probability of being selected.
A fair coin of head and tail offers a fair chance to two contenders on who should play the game first.
In this situation, since Carla gets the heads, he has 50% chance of being selected to go first.
Equally, Hattie has a 50% chance to go first getting the tails.
Thus, the correct selection method is Option A.
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|-13.5-(-4 1/5)| times 1.4 plus (-2) to the power of 2
Answers
In summary |-13.5 - (-4 1/5)| × 1.4 + (-2)²2 is equal to 17 3/5.
How to solve?
|-13.5 - (-4 1/5)| = |-13.5 + 4 1/5| [Subtracting a negative is equivalent to adding a positive]
= |-9 4/5|
= 9 4/5
Now, we can substitute the values and simplify the expression:
|-13.5 - (-4 1/5)| × 1.4 + (-2)²2
= 9 4/5 × 1.4 + (-2)²2
= 13 3/5 + 4
= 17 3/5
Therefore, |-13.5 - (-4 1/5)| × 1.4 + (-2)²2 is equal to 17 3/5.
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), connected by an equal sign (=).
For example, the equation 3x + 5 = 14 is an equation that shows that the expression 3x + 5 is equal to the expression 14. This equation can be solved for x to find the value of x that makes the equation true.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer:
Step-by-step explanation:
D
Magdalene creates the scale drawing shown of a rectangular field.
7.2 cm
Scale
1 cm = 4.5m
3 cm
What is the area, in square meters (m²), of the actual field?
Answers
The scale of the drawing is 1 cm = 4.5 m. This means that each centimeter in the drawing represents 4.5 meters in the actual field. The length of the field in the drawing is 7.2 cm, so the actual length of the field is 7.2 cm × 4.5 m/cm = 32.4 m. The width of the field in the drawing is 3 cm, so the actual width of the field is 3 cm × 4.5 m/cm = 13.5 m. The area of a rectangle is found by multiplying its length by its width, so the area of the actual field is 32.4 m × 13.5 m = 437.4 m²
Note :- I'm sorry to bother you but can you please mark me BRAINLEIST if this ans is helpfull
Maricopa's Success scholarship fund receives a gift of $ 95000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 4.2 % interest, and stocks pay 11.2 % interest. Maricopa Success invests $ 35000 more in bonds than in CDs. If the annual income from the investments is $ 6845 , how much was invested in each account?
Answers
Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.
What is investment?
Property acquired or invested in to build wealth and save hard-earned income or appreciation is called investment.
Let's start by assigning variables to represent the amounts invested in each type of account:
Let x be the amount invested in CDs.
Let y be the amount invested in bonds.
Let z be the amount invested in stocks.
From the problem statement, we know that:
Here total invested amount is $95,000,
So, we have
[tex]x + y + z = 95,000.[/tex]
The amount invested in bonds is $35,000 more than the amount invested in CDs,
So we have
[tex]y = x + 35,000.[/tex]
The annual income from the investments is $6,845, which we can express as:
0.0475x + 0.042y + 0.112z = 6,845........ (1)
Now we can use the system of equations formed by the three equations above to solve for x, y, and z. First, we can substitute [tex]y = x + 35,000.[/tex] into the equation [tex]x + y + z = 95,000[/tex] to get,
[tex]x + (x + 35,000) + z = 95,000[/tex]
Simplifying this equation, we get:
2x + z = 60,000........ (2)
Next, we can substitute y = x + 35,000 and simplify the equation (1) using equation (2) to get:
[tex]0.0475x + 0.042(x + 35,000) + 0.112z = 6,845[/tex]
Simplifying and rearranging this equation, we get:
0.0895x + 0.112z = 8,545 ..........(3)
Let's use substitution by solving equation (2) for z and substituting into equation (3):
Now, z = 60,000 - 2x
So, 0.0895x + 0.112(60,000 - 2x) = 8,545
Simplifying and solving for x, we get:
x = 18,000
Substituting this value of x into equation (2) to solve for z, we get:
2(18,000) + z = 60,000
z = 24,000
Finally, we can use equation (1) to solve for y:
[tex]0.0475(18,000) + 0.042(y) + 0.112(24,000) = 6,845[/tex]
Simplifying and solving for y, we get:
y = 32,000
Therefore, Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.
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How many times larger is the volume of a
cylinder if the radius is multiplied by 3?
A. 3 times larger
B. 6 times larger
C. 9 times larger
D. 27 times larger
Answers
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. If we multiply the radius by 3, the new radius becomes 3r. So the new volume becomes:
V' = π(3r)^2h = 9πr^2h
Therefore, the new volume is 9 times larger than the original volume.
So, the correct answer is C. 9 times larger.
Answer:
C. 9 times larger
Explanation:
where, r = radius of a cylinder and h = height of the cylinder. This means that the volume of a cylinder will be 9 times larger if the radius is multiplied by 3.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer: C. 3/(t-1)
Step-by-step explanation:
Answer:
[tex] \dfrac{3}{t - 1} [/tex]
Step-by-step explanation:
[tex] \dfrac{t^2 - 2t - 3}{t^2 - 1} \cdot \dfrac{3t - 3}{t^2 - 4t + 3} = [/tex]
Start by factoring every numerator and denominator.
[tex] = \dfrac{(t - 3)(t + 1)}{(t + 1)(t - 1)} \cdot \dfrac{3(t - 1)}{(t - 3)(t - 1)} [/tex]
Every factor that exists in both a numerator and denominator can be eliminated.
[tex] = \dfrac{1}{t - 1} \cdot \dfrac{3}{1} [/tex]
Multiply numerators together. Multiply denominators together.
[tex] = \dfrac{3}{t - 1} [/tex]
(2x - 4)(5x + 8) what’s the answer
Answers
Answer:
10x^2 - 4x - 32
Step-by-step explanation:
(2x - 4)(5x + 8)
10x^2 + 16x - 20x - 32
10x^2 - 4x - 32
A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
Answers
Answer:
Step-by-step explanation:
(0,0)
i hope this helps
Y=2X squared -12 X +20 for quadratic formula
Answers
x = (12 ± √(-16)) / 4,The solutions would be complex numbers.
What is the quadratic formula?To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.
The quadratic formula is:
x = (-b ± √[tex](b^2 - 4ac)[/tex]) / 2a
Plugging in the values for a, b, and c, we get:
x = (-(-12) ± √[tex]((-12)^2 - 4(2)(20)))[/tex] / 2(2)
Simplifying the expression inside the square root:
x = (12 ± √[tex](144 - 160)[/tex]) / 4
x = (12 ± √(-16)) / 4
Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.
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PLEASE HELP
The scatter plot shows the time spent studying, X, and the midterm score, y, for each of 25students.
Time spent studying (in hours)
Use the equation of the line of best fit, y=3.84×+16.64, to answer the questions below.
Give exact answers, not rounded approximations.
(a) For an increase of one hour in the time spent studying,
what is the predicted increase in the midterm score?
(b) What is the predicted midterm score for a student who
doesn't spend any time studying?
(c) What is the predicted midterm score for a student who
studies for 12 hours?
Answers
(a) For an increase of one hour in the time spent studying, the predicted increase in the midterm score can be found by taking the derivative of the equation with respect to x:
dy/dx = 3.84
Therefore, for an increase of one hour in the time spent studying, the predicted increase in the midterm score is 3.84.
(b) To find the predicted midterm score for a student who doesn't spend any time studying, we can substitute x = 0 into the equation:
y = 3.84x + 16.64
y = 3.84(0) + 16.64
y = 16.64
Therefore, the predicted midterm score for a student who doesn't spend any time studying is 16.64.
(c) To find the predicted midterm score for a student who studies for 12 hours, we can substitute x = 12 into the equation:
y = 3.84x + 16.64
y = 3.84(12) + 16.64
y = 64.16
Therefore, the predicted midterm score for a student who studies for 12 hours is 64.16.
Describe the association shown in the scatter plot.
A. No association
B. Negative association
C. Prime association
D. Positive association
In my opinion I think it’s either B or D but what do you guys think?
Answers
Answer:
B.
Step-by-step explanation:
Since the line is from the top left to bottom right it's negative but if it was the opposite it would be positive.
Need help asap pls and thx pic is attached
Answers
The values of Sin A, Cos B and Tan A are: 41.8, 2.8 and 6.9 respectively
What is trigonometry ratio?The ratios of the sides of a right triangle are called trigonometric ratios.", if in trigonometry the ratios of the sides of a triangle are called 'trigonometric ratios' then what if the triangle is not a right triangleA =
In triangle 1
SinA = Opposite/Hypothenuse
Son A = 6/9
Sin A = 0.6669
A = Sin ⁻¹0.6667
A = 41.8⁰
For triangle 2
Cos B = Adjacent /Hypothenuse
Cos 45 = x/4
AB = 4*0.7071
AB = 2.8
For triangle 3
Tan a = Opp/Adjacent
Tan60 = AB/4
AB = 4*Tan60
AB = 4* 1.7321
AB = 6.9
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ASAP The vertices of a rectangle are plotted in the image shown.
A graph with the x-axis and y-axis labeled and starting at negative 8, with tick marks every one unit up to positive 8. There are four points plotted at negative 4, 4, then 3, 4, then negative 4, negative 3, and at 3, negative 3.
What is the perimeter of the rectangle created by the points?
49 units
56 units
14 units
28 units
Answers
The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.
To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.
Let's calculate the length of each side:
Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.
Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.
Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.
Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.
Now, let's sum up the lengths of all four sides:
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
Perimeter = 7 + 7 + 7 + 7
Perimeter = 28 units
Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.
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Please help meeeee !!!
Answers
According to shopper data, 97% of households purchase
toilet paper. An analyst believes this is too low. To
investigate, the analyst selects a random sample of 500
households and finds that 98% of them purchase toilet
paper. We found that we do not have convincing
evidence at the a= 0.05 level to conclude that the true
proportion of all households that purchase toilet paper
differs from 0.97.
It can be difficult to detect such a small difference, such
as from 0.97 to 0.98, even if the difference exists.
What can be done to increase the power of this test to
reject 0.97 if 0.98 is true? Check all that apply.
increase a
decrease a
O increase n
decrease n
discard first results and select a separate random
sample of 500 households
Answers
- Increase n (sample size)
- Decrease the level of significance (a)
- Discard the first results and select a separate random sample of 500 households
Therefore, the correct options are:
- Increase n
- Decrease a
- Discard first results and select a separate random sample of 500 households
Select the correct answer.
Simplify:
3x3² +8÷2-(4+3)
A.
30
B. 32
OC. 23
OD. 24
I need it asap pleasee
Answers
Answer:
OD:24
Step-by-step explanation:
3*3”2 = 27
-(4+3) = -7
8divided by 2= 4
27 + 4 -7=24
Write the following sets of the following problems using the descriptive method (please help)
1- Mathematics
2- Rain , Snow , Sunny
3- Canada , Mexico , United States
Answers
1.The set of all mathematical concepts .
2.The set of possible weather conditions in which an area can experience.
3.The set of countries that make up the North American continent.
What are the sets ?Sets, in mathematics , are a coordinated assortment of articles and can be addressed in set-manufacturer structure or list structure. Curly braces are typically used to represent sets.
1- Mathematics:
The collection of all mathematical concepts and guiding principles pertaining to the investigation of quantity, structure, space, and change. Math, algebra, geometry, trigonometry, calculus, probability, and statistics are all included in this.
2- Rain, Snow, Sunny:
The arrangement of conceivable weather patterns where a region can insight. This includes rain, which is the term used to describe the liquid water droplets that fall from clouds; snow, which refers to ice crystals falling from clouds; and sunny, a weather condition characterized by abundant sunlight and clear skies.
3- Canada, Mexico, United States:
The group of nations that make up the continent of North America. Canada, which is in the north of the continent, is included in this. Mexico, which is in the continent's southernmost region; and the United States of America, which is in the middle of the continent. The numerous cultures, histories, and geographies of these nations define them.
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A display case is made of one rectangular prism stacked on top of a second rectangular prism. What is the volume of the display case? A.24 B.36 C.60 D.84,is it b right?
Answers
The volume of the display case is 60 + 120 = 180. The correct answer is B. 36.
What is volume?Volume is a measure of the three-dimensional space something occupies or contains. It is often expressed as a calculation of length x width x height. It can also refer to the amount of something, such as the volume of a liquid, or the amount of space a container holds. Volume is an important concept in mathematics, science, engineering, and many other fields. It is used to measure the size of a solid, liquid, or gas, and to quantify the amount of material in an object or a space.
The volume of a rectangular prism is determined by multiplying its length, width, and height. The volume of a display case made of one rectangular prism stacked on top of a second rectangular prism is equal to the sum of the volumes of each rectangular prism.
The volume of the first rectangular prism is 3 x 4 x 5 = 60.
The volume of the second rectangular prism is 4 x 5 x 6 = 120.
Therefore, the volume of the display case is 60 + 120 = 180. The correct answer is B. 36.
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According to a poll, 80% of Americans report being afflicted by stress. Suppose a random sample of 1,200 Americans is selected. Complete parts (a) through (d) below.
a. What percentage of the sample would we expect to report being afflicted by stress?
Answers
The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%
How to calculate the percentage afflicted by stress?The percentage of a data set is when part of the data is represented per 100 with a symbol of %.
It was stated in the question that 80% of Americans report being afflicted by stress.
Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.
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