Use the Ratio Test to determine whether the series convergent or divergent. [infinity] n! nn n = 1 Identify an. Evaluate the following limit. lim n → [infinity] an+1 an Since lim n → [infinity] an+1 an 1, .
Answers
To apply the Ratio Test for the given series, first identify an:
an = (n!)/(n^n)
Next, evaluate the limit:
lim (n → ∞) (an+1 / an)
= lim (n → ∞) (((n+1)!)/(n+1)^(n+1)) * (n^n / n!)
Now, simplify the expression:
= lim (n → ∞) ((n+1)*n! / (n+1)*(n^n))
= lim (n → ∞) (n! / n^n)
Since lim (n → ∞) (n! / n^n) < 1, the series is convergent according to the Ratio Test.
When answering questions on the Brainly platform, it is important to always be factually accurate, professional, and friendly. Answers should be concise and relevant to the question being asked. Typos and irrelevant parts of the question should be ignored. The terms specified in the question should be used in the answer provided.
To determine whether the series is convergent or divergent, the ratio test can be used. The ratio test states that if the limit of the absolute value of the ratio of successive terms is less than 1, then the series converges. If the limit is greater than 1, then the series diverges. If the limit is equal to 1, then the test is inconclusive.
Using the ratio test on the series given in the question, we have:
an = n! / (nn)
an+1 = (n + 1)! / ((n + 1)(n + 1))
The ratio of the terms is:
an+1 / an = [(n + 1)! / ((n + 1)(n + 1))] / [n! / (nn)]
Simplifying, we get:
an+1 / an = (n + 1) / (n + 1)
an+1 / an = 1
Taking the limit as n approaches infinity, we get:
lim n → infinity (an+1 / an) = lim n → infinity 1 = 1
Since the limit is equal to 1, the ratio test is inconclusive. Another test, such as the root test or the comparison test, may be necessary to determine whether the series converges or diverges.
Learn more about limit, here: brainly.com/question/8533149
#SPJ11
Related Questions
Name all segments on line l that: a) contain point C. b) do not contain point C.
PLEASE HELP IMMEDIATE
Answers
Answer:
Contain: AC; BC; CD; AD; BD
Don’t contain: AB
Step-by-step explanation:
It’s kinda easy to see
The segments on line l that: a) contain point C: AD, BD, BC and CD
b) do not contain point C: AB
What is line?"It a one-dimensional geometric figure, which has length but no width.""Line extends forever in both directions with no endpoints. "What is line segment?"It is a part of line that has two endpoints."
For given question,
We have been given a line l.
The line segments that contain point C are:
AD
BD
BC
CD
The line segments that do not contain point C:
AB
Therefore, all segments on line l that: a) contain point C: AD, BD, BC and CD
b) do not contain point C: AB
Learn more about line segment here:
https://brainly.com/question/25727583
#SPJ2
In 14 days, Lin's sister will be paid $430 and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $5.95 each day after this deposit is made? Explain or show your reasoning.
Answers
The equation, fine is $5*86 = 430so 430-430 = 0, Lin's account balance is much above zero (0), so she won't be charged $5.95 each day.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Lin's sister will be paid $430
here are no other transactions besides this deposit and the daily fee
since fine is $5*86 = 430
so 430-430 = 0
hence,
Lin's account balance is much above zero (0), so she won't be charged $5.95 each day. However, if her account balance were to drop below zero, she would be charged for any further daily deposits made.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
which of the following is most likely to be possible? group of answer choices making a grouped frequency table from an ordinary frequency table making a normal curve from a bimodal distribution making an ordinary frequency table from a grouped frequency table making a bimodal distribution from a normal curve
Answers
The most likely option (b) to be possible is making a grouped frequency table from an ordinary frequency table.
A frequency table is a way of organizing data into classes or categories based on the number of times a particular observation or value occurs.
Now, let's examine the options provided. Making a grouped frequency table from an ordinary frequency table is possible, as we can simply group the values into intervals and calculate the frequencies for each interval. This allows us to better visualize and understand the distribution of the data.
Making a normal curve from a bimodal distribution is not possible, as a bimodal distribution has two distinct peaks or modes, while a normal distribution has only one. A normal curve is symmetrical and bell-shaped, and represents a continuous distribution of values.
Making an ordinary frequency table from a grouped frequency table is also possible, as we can simply list the intervals or classes and their corresponding frequencies, without the need to group them into intervals.
Finally, making a bimodal distribution from a normal curve is possible, as we can add two normal distributions with different means and standard deviations to create a bimodal distribution. However, it is important to note that a bimodal distribution may not always be appropriate for the given data.
To know more about frequency here.
https://brainly.com/question/28931302
#SPJ4
Question 4 Which one is correct about omitted variable bias? Check all that apply. (Two correct answer.) If the omitted variable and included variable are correlated, there is a bias. If the omitted variable is relevant, there is a bias. Random assignment of included variables cuts the relationship between the omitted variable and included variable and bring the bias to zero. If the omitted variable and included variable are correlated AND the omitted variable is relevant, there is a bias.
Answers
The correct statements about omitted variable bias are:
1. If the omitted variable and included variable are correlated, there is a bias.
2. If the omitted variable is relevant, there is a bias.
Omitted variable bias refers to the bias introduced in an econometric model when a relevant variable is left out of the analysis. The bias occurs when the omitted variable is correlated with both the dependent variable and the included variables in the model.
If the omitted variable and included variable are correlated, there is a bias because the included variable may capture some of the effects of the omitted variable. In this case, the estimated coefficient of the included variable will be biased, as it will include the influence of the omitted variable.
Similarly, if the omitted variable is relevant, there is a bias because it has a direct impact on the dependent variable. By excluding the relevant variable, the model fails to account for its influence, leading to biased estimates of the coefficients of the included variables.
Random assignment of included variables does not eliminate omitted variable bias. While random assignment may help control for confounding factors and reduce bias in certain experimental designs, it does not address the issue of omitting a relevant variable from the analysis. Omitted variable bias can still exist even with random assignment of included variables.
Learn more about variable here:
https://brainly.com/question/29583350
#SPJ11
Westville has a land area of 84.4 square miles. In 2015, the population density was
22.5 people per square mile.
In 2016, the population was 2,000 people.
By how many people did the population of Westville increase between 2015 and
2016?
Answers
Answer: 101 people
Step-by-step explanation:
To find the increase in population between 2015 and 2016, we need to know the population density in 2015. We can find this by multiplying the land area by the population density:
84.4 square miles * 22.5 people per square mile = 1,899 people
This means that in 2015, there were 1,899 people living in Westville.
The increase in population between 2015 and 2016 is:
2,000 people - 1,899 people = 101 people
Therefore, the population of Westville increased by 101 people between 2015 and 2016.
x^2+8x+16 What is the perfect factored square trinomial
Answers
Answer:
The perfect factored square trinomial that is equivalent to the expression x^2 + 8x + 16 is:
(x + 4)^2
To see why this is the case, you can expand the expression (x + 4)^2 using the FOIL method:
(x + 4)^2 = (x + 4) * (x + 4)
= x^2 + 4x + 4x + 16
= x^2 + 8x + 16
So, x^2 + 8x + 16 can be factored as (x + 4)^2, which is a perfect square trinomial.
The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture had 10,000 bacteria initially and 15,000 bacteria after 10 minutes. In terms of t only, find the number of bacteria in the culture at any time t minutes, t >= 0. How many bacteria were there after one hour? (You may use your calculator on this problem.)
Answers
The number of bacteria in the culture after one hour ≈ 187694.82.
Given that the rate of change in the number of bacteria in a culture is proportional to the number present. A culture had 10,000 bacteria initially and 15,000 bacteria after 10 minutes.
Integrating both sides, we get
ln y = kt + C
where C is a constant of integration.
To find C, we use the initial condition that the number of bacteria is 10,000 when t = 0.
So,ln 10000 = k * 0 + Cln 10000 = C
Putting this value of C in the above equation, we get
ln y = kt + ln 10000or, ln y = ln 10000 + kt
Taking exponentials on both sides, we get
y = e^(kt+ln10000)y = 10000 * e^(kt)
Now, we have to find the number of bacteria in the culture at any time t minutes, t ≥ 0.
So, we need to find y = number of bacteria after 60 minutes i.e., y(60).
We know that after 10 minutes there are 15,000 bacteria.
Using this, we can find the value of k as follows:15000 = 10000 * e^(10k)
Simplifying this equation, we get:e^(10k) = 1.5
Taking natural logarithm on both sides, we get:10k = ln 1.5
Solving for k, we get:k = 0.0408Substituting this value of k in the above equation, we get:
y = 10000 * e^(0.0408t)At
t = 60 minutes, we get:
y(60) = 10000 * e^(0.0408 * 60)
≈ 187694.82
Therefore, the number of bacteria in the culture after one hour ≈ 187694.82.
Know more about rate of change here:
https://brainly.com/question/8728504
#SPJ11
a _______________ is a graph showing the differences in frequencies or percentages among categories of a nominal or an ordinal variable.
Answers
A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.
A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.
In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.
The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.
By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.
Learn more about ordinal variables here:
https://brainly.com/question/30322221
#SPJ11
The graph of a function is a line that passes through the coordinates
(6,6) and (7.15) Which is the rate of change for the function?
Answers
Answer:
The rate of change of the function is 9
Step-by-step explanation:
Mathematically, the rate of change of the function refers to the slope of the line that passes through the given points
Thus, we use the slope equation as follows;
m = (y2-y1)/(x2-x1)
(x1,y1) = (6,6)
(x2,y2) = (7,15)
Substituting these values, we have
m = (15-6)/(7-6) = 9/1 = 9
in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
Answers
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
for such more questions on diameter
https://brainly.com/question/30460318
#SPJ8
Identity each pair of angles as complementary, supplementary, or neither.
Answers
Answer:
Neither
Supplementary
Supplementary
Step-by-step explanation:
1) 90 + 43 = 133
Since this value does not equate to 90 or 180. The answer is Neither
2) 61 + 119 = 180
Since the answer equates to 180. The answer is Supplementary
3) 90 + 90 = 180
Since the answer equates to 180. The answer is Supplementary
The Mayfair diner in Philadelphia, PA Murder at the Mayfair Diner by Tom LoFaro Dawn at the Mayfair Diner. The amber glow of streetlights mixed with the violent red flash of police cruisers begins to fade with the rising of a furnace orange sun. Detective Daphne Marlow exits the diner holding a steaming cup of hot joe in one hand and a summary of the crime scene evidence in the other. Taking a seat on the bumper of her tan LTD, Detective Marlow begins to review the evidence At 5:30 a.m. the body of one Joe D. Wood was found in the walk in refrigerator in the diner's basement. At 6:00 a.m. the coroner arrived and determined that the core body temperature of the corpse was 85 degrees Fahrenheit. Thirty minutes later the coroner again measured the core body temperature. This time the reading was 84 degrees Fahrenheit. The thermostat inside the refrigerator reads 50 degrees Fahrenheit. Daphne takes out a fading yellow legal pad and ketchup-stained calculator from the front seat of her cruiser and begins to compute. She knows that Newton's Law of Cooling says that the rate at which an object cools is proportional to the difference between the temperature Tof the body at time t and the temperature Tm of the envi ronment surrounding the body. She jots down the equation dT k(T 7 m), t 0, (1) dt where kis a constant ofproportionality, Tand Tm are measured in degrees Fahrenheit, and t is time measured in hours. Because Daphne wants to investigate the past using positive values of time, she decides to correspond t 0 with 6:00 a.m., and so, for example, t 4 is 2:00 a.m. After a few scratches on her yellow pad, Daphne realizes that with this time convention the constant k in (1) will turn out to be positive. She 1/2 ots a reminder to herself that 6:30 a.m. is now t As the cool and quiet dawn gives way to the steamy midsummer morning, Daphne begins to sweat and wonders aloud, "But what if the corpse was moved into the fridge in a feeble attempt to hide the body? How does this change my estimate?" She re-enters the restaurant and findsthe grease-streaked thermostat above the empty cash register. It reads 70 degrees Fahrenheit. But when was the body moved?" Daphne asks. She decides to leave this ques- tion unanswered for now, simply letting h denote the number of hours the body has been in the refrigerator prior to 6:00 a.m. For example, if h 6, then the body was moved at midnight. Daphne flips a page on her legal pad and begins calculating. As the rapidly cooling coffee begins to do its work, she realizes that the way to model the environmental tem perature change caused by the move is with the unit step function out She writes Tm(t) 50 20u(t h) (2) and below it the differential equation di k(T- Tim (t)) (3) dt Daphne's mustard-stained polyester blouse begins to drip sweat under the blaze of a midmorning sun. Drained from the heat and the mental exercise, she fires up her cruiser and motors to Boodle's Café for another cup ofjava and a heaping plate
Answers
The Mayfair diner in Philadelphia, PA is the scene of a murder that Detective Daphne Marlow is investigating in "Murder at the Mayfair Diner" by Tom LoFaro.
The body of one Joe D. Wood was discovered in the walk-in refrigerator in the diner's basement at 5:30 a.m., and the coroner recorded the core body temperature at 85°F at 6:00 a.m. The coroner took another reading of the core body temperature at 6:30 a.m., with the result being 84°F. At the time of the discovery, the thermostat in the refrigerator was set to 50°F.Daphne knows that Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference between the temperature T of the body at time t and the temperature Tm of the environment surrounding the body.
To know more about Detective visit :
https://brainly.com/question/32164019
#SPJ11
Simplify - 40 |+8-23/7
Answers
Answer:
-247/7
Step-by-step explanation:
-40+8-23/7
=-40+(56-23)/7
=-40+33/7
=(-280+33)/7
=-247/7
What type of function is represented by the table
X= -4 -3 -2 -1
Y= 16 8 4 2
Answers
The function represented by the table is: \(Y = (1/2)^X\).This is an example of an exponential function.
What is Algebraic function ?
An algebraic function is a function created by applying the operation of addition, subtraction, multiplication, division, and extracting the nth root
To determine the type of function represented by the table, we can look at the pattern of the values of X and Y.
As we can see from the table, as X increases by 1, Y is divided by 2. This means that the relationship between X and Y is not linear but rather exponential. Specifically, the function is of the form Y = \(a(1/2)^X,\) where a is a constant.
To find the value of a, we can use one of the points in the table. Let's use the first point, (-4, 16):
16 = \(a(1/2)^(-4)\)
Multiplying both sides by\((1/2)^(-4)\):
\(16 * (1/2)^4\) = a
a = 16 * (1/16) = 1
Therefore, the function represented by the table is:
\(Y = (1/2)^X\)
This is an example of an exponential function.
Learn more about Root here
https://brainly.com/question/16932620
#SPJ1
Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 and determines he needs to pay $8.50 for the shorts
Explain
What is the error?
Why do you think he made that error?
What is the correct way to find the sale price?
Answers
(1 point) For each of the following integrals find an appropriate trigonometric substitution of the form x = f(t) to simplify the integral. A. [(5x (5x² – 2)3/2 dx – X = b. X2 dx 4x2 + 6 X = C. | xV5x + 50x + 118dx X = d. El 19-50 х dx –119 – 5x2 + 50x X =
Answers
All Trigonometric Expressions:
a. ∫5x * \((5x^{2} - 2)^{(3/2)\)dx = ∫2sin³θ cos²θ dθ
b. ∫\(x^{2} dx/(4x^{2} + 6)\)= ∫tan²θ sec²θ dθ
c. ∫x√(5x + 50)/(x + 118)dx = ∫(5tan²θ – 25)tanθ sec³θ dθ
d. ∫(19 – 50x)/(119 – 5x² + 50x)dx = -2∫dθ/(25tan²θ + 94)
a. The integral ∫5x * \((5x^{2} - 2)^{(3/2)\)dx, we can use the substitution x = (2/5)sinθ. This gives dx = (2/5)cosθ dθ and 5x² – 2 = 5(2/5 sinθ)² – 2 = 2cos²θ. Substituting these expressions into the integral, we get:
∫5x * \((5x^{2} - 2)^{(3/2)\)dx
= ∫2sin³θ cos²θ dθ
b. For the integral ∫x²dx/(4x² + 6), we can use the substitution x = tanθ. This gives dx = sec²θ dθ and 4x² + 6 = 4tan²θ + 6 = 2sec²θ. Substituting these expressions into the integral, we get:
∫x²dx/(4x² + 6) = ∫tan²θ sec²θ dθ
c. For the integral ∫x√(5x + 50)/(x + 118)dx, we can use the substitution
x + 25 = 5tan²θ.
This gives x = 5tan²θ – 25 and dx = 10tanθ sec²θ dθ, and
5x + 50 = 25sec²θ. Substituting these expressions into the integral, we get:
∫x√(5x + 50)/(x + 118)dx
= ∫(5tan²θ – 25)tanθ sec³θ dθ
d. For the integral:
∫(19 – 50x)/(119 – 5x² + 50x)dx,
we can use the substitution
5x – 5 = √(50x – 5)tanθ.
This gives x = (1/10)[(tanθ)² + 1] and
dx = (1/5)(tanθ sec²θ) dθ, and 119 – 5x² + 50x
= (25tan²θ + 94)².
Substituting these expressions into the integral, we get:
∫(19 – 50x)/(119 – 5x² + 50x)dx
= -2∫dθ/(25tan²θ + 94)
Learn more about integrals visit: brainly.com/question/27419605
#SPJ4
Correct Question:
For each of the following integrals find an appropriate trigonometric substitution of the form x = f(t) to simplify the integral.
a. ∫5x * ∫5x * \((5x^{2} - 2)^{(3/2)\)dx
b. ∫\(x^{2} dx/(4x^{2} + 6)\)
c. ∫x√(5x + 50)/(x + 118)dx
d. ∫(19 – 50x)/(119 – 5x² + 50x)dx
If a cone with a diameter of 17 feet has a volumn of 190.07 cubic feet. Find the height of the cone
Answers
Answer:
Step-by-step explanation:
65.246
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 8 cubic feet and the volume of each large box is 21 cubic feet. A total of 20 boxes of paper were shipped with a combined volume of 264 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
Answers
Answer:14
Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)
graph the equation y + x = 14
I need help plz
Answers
Equation of the line is y=-x+14
This is a linear equation with a negative slope of 1, which starts at (0,14)
class extends value undefined is not a constructor or null
Answers
What? What do you mean?
Part 4: solve a real-world problem using an absolute fraction
A transaction is a positive if there is a sale and negative when there is a return. Each time a customer uses a credit cards for a transaction,the credit company charges Isabel.The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
Latex represent the amount of transaction and f(x) represent the amount Isabel is charged for the transaction.Write a function that expresses f(x).
Answers
a) A function that expresses f(x) is f(x) = 1.5x.
b) A graph of the function is shown in the image below.
c) The domain and range of the function are all real numbers or [-∞, ∞].
How to write a function that describes the situation?Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;
f(x) = 1.5x
Part b.
In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.
Part c.
By critically observing the graph shown below, we can logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-∞, ∞] or all real numbers.
Read more on domain here: brainly.com/question/9765637
#SPJ1
Complete Question:
A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).
b) Graph the function.
c) What are the domain and range of the function?
A theater owner wants to survey the audience about the types of plays they want to see. At a sold-out show, there are 100 people in VIP seats, 700 on the main floor, and 400 in the balcony. Which sample can best help the owner see the preferences of all the audience members? A 5 people in VIP seats, 20 on the main floor, and 35 in the balcony 10 B 5 people in VIP seats, 35 on the main floor, and 20 in the balcony 20 people in VIP seats, 20 on the main floor, and 20 in the balcony 10 people in VIP seats, 7 on the main floor, and 4 in the balcony
Answers
The sample that can best help the owner see the preferences of all the audience members is given as follows:
B) 5 people in VIP seats, 35 on the main floor, and 20 in the balcony.
How to obtain the best sample?The best sample is obtained considering the proportions in the sample, as follows:
The number of people in the main floor is 700/100 = seven times the number of people in the VIP seats.The number of people in the balcony is 400/100 = four times the number of people in the VIP seats.Hence, considering 5 VIP seats, the amounts are given as follows:
5 x 7 = 35.5 x 4 = 20.Hence option B is the correct option for this problem.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
17. it is recommended that hikers' backpacks weigh no more than 20% of their body weight on overnight bikes and no more than 10% of their body weight on day hikes there are restrictions a hiker who weighs 160 pounds is planning an overnight hike. the weight of her backpack when packed with essential equipment is 15 pounds. write an inequality to show how many pounds, p, the hiker can still add to her backpack and stay within the recommended weight a hiker who weighs 180 pounds is planning a day hike. the weight of his backpack when packed with part a part b
Answers
Expressions can be represented as equations or inequalities
(a) The hiker's backpack weighs 15 lb.
(b) the hiker can add additional 19.5 pounds
The inequality that represents the additional weight is:
The hiker can add additional 19.5 pounds
(a) Long hike
The hiker's weight is given as:
, the recommended weight (x) of the backpack is calculated as:
The hiker's backpack weighs 15 lb.
So now what weare supposed to do is
Subtract 15 from both sides
(b) Day hike
The hiker's weight is given as:
The hiker is embarking on a day hike (i.e. short hike), the recommended weight (x) is calculated as:
The hiker's backpack weighs 7.5 lb.
So, the additional weight the hiker can add is represented as:
Subtract 7.5 from both sides
Hence, the hiker can add additional 19.5 pounds
If you want to know more about equations you may visit the link:
brainly.com/question/11897796
#SPJ1
Please help! select the correct answer
Answers
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
●
Taylor has $25.50 saved.
He will save $54.25 each week the next 30
weeks.
She will not spend any money.
How much will Cameron have after 30 weeks?
Answers
Answer:
54.25x30+25.5＝
Step-by-step explanation:
1653
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
Answers
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
To know more about line
brainly.com/question/13763238
#SPJ1
What is the equation of the line that passes through the point (-6, -7) and has a
slope of 1/3?
Answers
Answer:
y = 1/3x - 5
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
m = 1/3
Y-intercept is located at (0, -5)
So, the equation of the line is y = 1/3x - 5
Which of the following relations is not a function?
A) (-7,4)
(4,3)
(-5, 1)
(6,2)
B) (-5,4)
(4,2)
(6,1)
(-7,5)
C) (6,4)
(-5,2)
(4,1)
(-7,2)
D (4,4)
(-5,2)
(4,1)
(-7,2)
Answers
Part (D) is not a function as he element 4 has two images in y that is 4 and 1.
We are given some relations.
We need to tell which of the following is not a function.
A relation is a function when every element of x has only one mapping on the every element of y.
That is when we put one value of x, there should not be 2 values for y.
For part (A),
It is a function as it satisfies the condition.
For part (B),
It is also a function as it also satisfies the condition.
For part (C)
It is also a function as it also satisfies the condition.
Fort part (D),
It is not a function as the element 4 has two images in y that is 4 and 1.
Therefore, part (D) is not a function as he element 4 has two images in y that is 4 and 1.
Learn more about function here:
https://brainly.com/question/4025726
#SPJ9
Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)
B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)
C.) Describe the end behavior of this function (2 points)
D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.
Answers
A. The y-intercept is at the point (0, 0).
B. The zeros are x = 0 or x = ±√5
C.
How to solve the expressionA) The y-intercept of this graph is the point where x = 0.
When x = 0, the value of y
= 0^4 - 5*0^2
= 0.
Therefore, the y-intercept is at the point (0, 0).
B) The x-intercepts/roots of the function are the values of x that make y = 0.
To find these values, we need to set y = 0 and solve for x:
x⁴ - 5x² = 0
x⁴ = 5x²
x² = x⁴/5
x = ±√(x⁴/5)
We can simplify this expression by factoring x² out of both sides:
x²(x² - 5) = 0
x² = 0 or x² - 5 = 0
x = 0 or x = ±√5
hence the x-intercepts are at x = 0 and x = ±√5.
C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.
x → ∞ f(x) → ∞
x → -∞ f(x) → -∞
D) The graph is attached
Learn more about zeros at:
https://brainly.com/question/29415775
#SPJ1
A cone has a height of 15 cm and a radius of 10 cm. What is the volume?
Answers
Answer:
1570.796~
Step-by-step explanation:
v= πr² h/3
r is radius
h is height
v is volume
v=π*10² 15/3
v=π*10² *5
v=π*100 *5
v=π*500
v=1570.796~