An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The recursive formula for the arithmetic sequence is
a + (n -1)d.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
-49, -35, -21, -7, ....
We see that,
The first term is -49.
The common difference.
= -35 + 49
= 14
Now,
The recursive formula can be written as,
a + (n - 1)d
We can cross-check.
a = -49 and d = 14
Now,
n = 1, -49
n = 2, -35
n = 3, -21
n = 4, -7
Thus,
The recursive formula for the arithmetic sequence is
a + (n -1)d.
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I want some help with this problem
The probability that the first spinner will land on 7 and the second spinner will land on C is 1/4. So correct option is D.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or phenomena. It provides a framework for quantifying uncertainty and making predictions based on data and observations.
Probability is typically expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. For example, the probability of flipping a coin and getting heads is 0.5, or 50%, since there are two equally likely outcomes (heads or tails).
The probability of an event can be determined by calculating the ratio of the number of favorable outcomes to the total number of possible outcomes. For example, the probability of rolling a 6 on a standard die is 1/6, since there is only one favorable outcome (rolling a 6) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).
The probability that the first spinner will land on 7 and the second spinner will land on C is 1/4.
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The equation X^2/16 + y^2/9 = 1 defines an ellipse, which is graphed above. In this excercise we will approximate the area of this ellipse. (a) To get the total area of the ellipse, we could first find the area of the part of the ellipse lying in the First Quadrant, and then multiply by what factor? (b) Find the function y=f(x) that gives the curve bounding the top of the ellipse. (c) Use deltax=1 and midpoints to approximate the area of the part of the ellipse lying in the First Quadrant. (d) Approximate the total area of the ellipse.
To approximate the area of the ellipse defined by the equation x^2/16 + y^2/9 = 1, we can follow these steps.
(a) To find the total area of the ellipse, we first calculate the area of the part lying in the First Quadrant. Then, we multiply this area by 4 since the ellipse is symmetric about both the x-axis and the y-axis. Multiplying by 4 accounts for the remaining three quadrants, resulting in the total area of the ellipse.
(b) To find the curve bounding the top of the ellipse, we solve the given equation for y. By rearranging the equation, we get y = f(x) = 3√(1 - (x/4)^2), where f(x) represents the upper boundary of the ellipse.
(c) Using a midpoint approximation, we can estimate the area of the part of the ellipse lying in the First Quadrant. We divide the x-axis into equal intervals of width Δx = 1 and calculate the corresponding y-values using the function y = f(x). Then, we approximate the area of each rectangle formed by Δx and the corresponding y-value, summing up these areas for all intervals.
(d) To approximate the total area of the ellipse, we multiply the estimated area from part (c) by 4 since we considered only the First Quadrant. The result provides an approximation of the total area of the ellipse.
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whats 4000 x48. i'm to lazy to use a countulater
Answer: 192,000
Step-by-step explanation:
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
The temperature today will be at least 10°F.
Woah that's cold. I live in Florida so it's pretty warm down here. Stay warm!
It is recommended to drink 8 glasses of water per day. A glass of water contains approximately 237 mL. If Carmelo drank 7 glasses, approximately how many liters of water did he drink?
H. 3,059 L
B. 16. 59L
C. 1,359 L
D. 1,659 L
Answer:
d Because I just took the test and got it right
Ill mark brainly if its correct. :) a,b,c, or d. answer quick please
Answer:
d.
Step-by-step explanation:
Help! This is so hard!
1.4
2.8
3.7 by 10
*Others do by your self*
Step-by-step explanation:
1. 3×4/3= 4
2.⅖×20=8
3.6/5×7/18=7/15
4.10/7×9/5=18/7= 2 4/7. Mixed Fraction
5.4/15×25/8=5/6
6.6×¾= 9/2= 4 1/2. Mixed Fraction
how do you find the surface area of a right triangle?
Answer:
The formula for surface area of a right triangle is A = b∙h2 where b is base and h is height.
Answer:
A = B * h2 ( \(A = 1/2 * base * height\))
What is the slope of the line in this graph?
Answer:
The slope is 5/6
Step-by-step explanation:
To calculate the slope here, there are two ways.
Count the rise over run with the boxes
Or
Find Any 2 points and use y2-y1/x2-x1 to find slope
Both ways work.
For this graph Since it looks pretty basic, I‘ll use the rise over run technique
Now we start from the origin side that is where one point is and just rise vertically until I reach a point and when I do, just run that many steps.
So I reached till 5 and ran to 6 which is a point on the coordinate graph
So to put it in slope form, it’s rise over run
Heres a easy way to remember it
lets say you wake up, you have to rise first and then run
You can’t run and then rise, that makes no sense
So here its rise 5 and run 6
so 5/6 is the slope
Enter an algebraic expression for the word expression. The quotient of -1 and y
Answer:
Step-by-step explanation:
-1/y
What is the quotient?
7^-4/7^-9
O1/7^13
O1/7^5
O 7^5
O 7^13
Answer:
\(7^{5}\)
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then
\(\frac{7^{-4} }{7^{-9} }\)
= \(7^{-4-(-9)}\)
= \(7^{-4+9}\)
= \(7^{5}\)
Answer:
the answer is C/ 7^5
Step-by-step explanation:
I took the test
Calculation of the Specific Kinetic Energy for a Flowing Fluid Water is pumped from a storage tank through a tube of 3.00 cm inner diame- ter at the rate of 0.001 m/s. See Figure E21.2 What is the specific kinetic energy of the water in the tube? 3.00 cm ID 마 -0.001 m/s
Substituting the calculated velocity value into the formula will give us the specific kinetic energy of the water in the tube.
The specific kinetic energy of a flowing fluid can be calculated using the formula:
Specific kinetic energy = 1/2 * (velocity)^2
Given that the water is pumped through a tube with an inner diameter of 3.00 cm at a rate of 0.001 m/s, we can calculate the specific kinetic energy.
First, we need to find the velocity of the water. To do this, we can use the formula:
Velocity = Volume flow rate / Cross-sectional area
Since the water is pumped at a rate of 0.001 m/s and the inner diameter of the tube is 3.00 cm, we can calculate the cross-sectional area of the tube as follows:
Radius = (inner diameter / 2) = (3.00 cm / 2) = 1.50 cm = 0.015 m
Cross-sectional area = π * (radius)^2 = π * (0.015 m)^2
Now, we can substitute the values into the velocity formula:
Velocity = 0.001 m/s / (π * (0.015 m)^2)
Simplifying this expression gives us the value of the velocity.
Next, we can use the specific kinetic energy formula to calculate the specific kinetic energy:
Specific kinetic energy = 1/2 * (velocity)^2
Substituting the calculated velocity value into the formula will give us the specific kinetic energy of the water in the tube.
Remember to include the appropriate units in your final answer.
If you provide the values for the volume flow rate or any other relevant information, I can provide a more accurate calculation.
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The specific kinetic energy of the water in the tube is 0.0000005 J.
The specific kinetic energy of a flowing fluid can be calculated using the equation:
Specific Kinetic Energy = (1/2) * (velocity)^2
In this case, the water is flowing through a tube with an inner diameter of 3.00 cm at a rate of 0.001 m/s.
To calculate the specific kinetic energy, we first need to convert the inner diameter of the tube to meters.
Inner diameter = 3.00 cm = 0.03 m
Next, we can calculate the velocity of the water flowing through the tube.
Velocity = 0.001 m/s
Now we can substitute the values into the equation:
Specific Kinetic Energy = (1/2) * (0.001 m/s)^2
Calculating the value:
Specific Kinetic Energy = (1/2) * (0.001 m/s)^2 = 0.0000005 J
Therefore, the specific kinetic energy of the water in the tube is 0.0000005 J.
Please note that the specific kinetic energy is the amount of kinetic energy per unit mass. It measures the energy of the fluid particles due to their motion.
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How to do this question plz answer my question
Answer:
28 cm
Step-by-step explanation:
vertical side of each parallelogram is (y-6)/2 cm
perpendicular height of each parallelogram is 7 cm
Total area = 4sh
308 = 14(y-6)
y-6 = 22
y = 28 cm
BRAINLIEST PLS
Instructions: Given the following image of two parallel lines cut by a transversal, find
the value of a
P Flag
question
Recovery
etry Summer 2020
ey)
jes
7x-6
mpetencies
A
des
5x + 10
Durse Overview and
troduction
Unit 1: The Foundations
of Geometry
Jangles (type the type of angle in
Unit 2. Logic, Reasoning,
and Proof
First, these angles are alternate exterior
the box)
Next, set each angle equal to each other.
Unit 3: Parallel and
Perpendicular Lines
Next, solve for a
Home
Step-by-step explanation:
Here,
7x-6=5x+10 (as it has given already that alternate exterior angle are equal.
now, simplifying,
or,7x-5x = 10+6.
or, 2x=16
or, x=16/2
Therefore the value of x is 8.
i hope it helps.....
Please help me out! its urgent!
Answer:
x = 7.5 cm
Step-by-step explanation:
ΔBCA ~ ΔECD ⇒ the corresponding sides are proportional.
\(\frac{AC}{DC}\) = \(\frac{AB}{DE}\)
AC = 4 + 6 = 10 cm
\(\frac{10}{6}\) = \(\frac{x+5}{x}\) ⇔ 10x = 6(x + 5) ⇒ x = 7.5 cm
please help............
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
А(1,5) B(7,-9) are two points
AB is divided into four equal parts at C, D
and E Find the coordinates
of C, D and E
Answ Find the distance between the following pairs of points:
(i) (2, 3), (4, 1) (ii) (–5, 7), (–1, 3) (iii) (a, b), (–a, –b)Sol. (i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1 ∴ The required distance er:
Step-by-step explanation:
What comes next finish the pattern 6,1,8,4,2,7?
Answer:
mark me as brainleest and i think 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
A cylinder and a cone have the same volume. The cylinder has radius x
and height y
. The cone has radius 2x
. Find the height of the cone in terms of y
.
The height of the cone in terms of y is h = y / 4.
How to find the volume of a cone and a cylinder?The cylinder and the cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x.
Therefore,
volume of a cylinder = πr²h
where
r = radiush = heightVolume of a cone = 1 / 3 πr²h
where
r = radiush = heightTherefore,
πr²h = 1 / 3 πr²h
πx²y = 1 / 3 π (2x)²h
πx²y = 1 / 3 π 4x² h
multiply both sides by 3
πx²y = π 4x² h
divide both sides by π 4x²
Hence,
h = πx²y / π 4x²
h = y / 4
Therefore, the height of the cone is h = y / 4.
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what is the measure of x if you have 4x +x = 180
Answer:
36
Step-by-step explanation:
4x +x = 180
5x=180
x=180/5
x=36
Please help! I need explanation on why the answer is what it is.
The graph that matches the given linear inequality is (B) .
In the question ,
it is given that
the linear inequality is y \(>\) -x + 4
on rewriting the inequality
we get
x + y \(>\) 4
to plot the inequality , we need points to plot .
So ,when x = 0 , we have y = 4
and when y = 0 , we have x = 4
so the two points are (0,4) and (4,0) .
For shading the inequality , we put x = 0 and y = 0 ,
and get 0+0 > 4
0>4 , the result is False , So , the shaded region will be away from the origin which is shown in option (b) .
Therefore , The graph that matches the given linear inequality is (B) .
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there are approximately one billion smartphone users in the world today. in the united states the ages of smartphone users approximately follow a normal distribution with approximate mean and standard deviation of 36.9 years and 13.9 years, respectively. write calculator function with values entered, and round to 3 decimal places: determine the probability that a random smartphone user is between 23 and 64.7 years old. determine the probability that a randomly selected smartphone user is less than 50.8 years old. find the 80th percentile of this distribution, and interpret it in a complete sentence.
By answering the above question, we may state that Hence, there is a probability 0.908 percent chance that a random smartphone user is between the ages of 23 and 64.7.
What is probability?Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.
(X - mu) / sigma = z
Where: x is the age we're interested in estimating the likelihood of, and mu is the average age of smartphone users
The number of smartphone users' standard deviation is sigma.
To calculate the likelihood that a random smartphone user is between the ages of 23 and 64.7:
z1 = (23 - 36.9) / 13.9 = -0.995\sz2 = (64.7 - 36.9) / 13.9 = 2.003
We can calculate the likelihood of a z-score between -0.995 and 2.003, which is around 0.908, using a conventional normal distribution table or calculator.
Hence, there is a 0.908 percent chance that a random smartphone user is between the ages of 23 and 64.7.
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Show your steps
Multiply and simplify if possible.
(3−√5)(7−√5)
The product of (3 - √5)(7 - √5) simplifies to 26 - 10√5.
To multiply and simplify the expression (3 - √5)(7 - √5), we can use the distributive property of multiplication over addition. Here are the steps:
1. Start by multiplying the first terms in each set of parentheses: 3 * 7 = 21.
2. Then multiply the outer terms: 3 * (-√5) = -3√5.
3. Next, multiply the inner terms: -√5 * 7 = -7√5.
4. Finally, multiply the last terms: -√5 * -√5 = 5.
Now we can combine these terms to simplify the expression:
21 + (-3√5) + (-7√5) + 5
Combine the like terms: 21 + 5 - 3√5 - 7√5
Combine the constants: 21 + 5 = 26.
Combine the radical terms: -3√5 - 7√5 = -10√5.
The final simplified expression is: 26 - 10√5.
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What expressions are equivalent to 3x+5x+8 and 4x+4x
Telecommunications companies providing cell-phone service are interested in customer retention. In particular, identifying customers who are about to churn (cancel their service) is potentially worth millions of dollars if the company can proactively address the reason that customer is considering cancellation and retain the customer. The DATAfile Cellphone contains customer data to be used to classify a customer as a churner or not.
In the Data Mining tab, by selecting Partition named Partition with Oversampling procedure, partition the data with all the variables so there is 50% successes (churners) in the training set and 40% of the validation data are taken away as test set. Use 12345 as the seed in the randomized sampling. Fit a classification tree using Churn as the output variable and all the other variables as input variables. In Step 2 of classification tree procedure, check the box next to Records in Terminal Nodes and enter 1, select Prune (Using Validation Set), select Best Pruned for the Tree for Scoring, and select Best Pruned for Trees to Display, set the Maximum # of tree levels to 7. Generate the Full tree, Best pruned tree, and Minimum error tree. In the Scoring tab, a Detailed Report and Lift Charts on the test data. Refer to the Appendix for instructions on how to perform classification trees using the Analytic Solver Platform.
(a) For the default cutoff value of 0.5, what are the overall error rate, Class 1 error rate, and Class 0 error rate of the best pruned tree on the test set? If required, round your answers to one decimal place.
Overall error rate %
Class 1 error rate %
Class 0 error rate %
Ultimately, understanding the customer data and correctly classifying customers as churners or non-churners is critical for companies to improve customer retention and reduce churn rates.
Telecommunications companies are constantly looking for ways to improve customer retention, and identifying customers who are at risk of churning (canceling their service) is one key strategy. The DATAfile Cellphone contains customer data that can be used to classify a customer as either a churner or not.
The overall error rate is the overall rate of incorrectly classified instances for a given data set. The class 0 error rate is the rate of incorrectly classified instances for the churner class (in this case, the instances of customers that actually churned were incorrectly classified as not churning).
To reduce the error rate, companies can use predictive models and algorithms such as logistic regression and decision trees to better identify at-risk customers. By analyzing the customer data, they can identify the attributes and factors that are associated with churning and can proactively address those issues to retain customers.
For example, telecommunications companies can analyze customer data such as credit rating, average bill amount, and other account information to identify patterns that indicate a customer is at risk of churning.
By proactively addressing those customers, companies can increase customer loyalty and reduce churn rates.
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-6/11 divided by 5/11
Answer:
-1.2
Step-by-step explanation:
siri knows
Answer:
1,2
Step-by-step explanation:
also could be known as 720 ILCS
A. What is the difference in total area of Alaska and Connecticut? Express your answer in scientific notation. Show your work or explain your answer.
3. What is the difference in total population of California and Alaska? Express your answer in scientific notation. Show
your work or explain your answer.
Answer:
A. Total area of Alaska is considerable larger than total area of Connecticut.
B. Population of California is considerably larger that population of Alaska.
Step-by-step explanation:
A. What is the difference in total area of Alaska and Connecticut?
According to the US government, total areas of Alaska and Connecticut are 663,268 square miles and 5,567 square miles, respectively.
The difference between both quantities is:
\(x=6.633 \times 10^{5} mi^{2} -5.567 \times 10^{3} mi^2\\x=6.577 \times 10^{5} mi^2\)
Which means that total area of Alaska is considerable larger than total area of Connecticut.
B. What is the difference in total population of California and Alaska?
According to the US government, total populations of California and Alaska are 39,512,223 people and 710,249 people, respectively.
The difference between both quantities is:
\(x=3.951 \times 10^7 people - 7.103 \times 10^5 people\\x=3.880 \times 10^7 people\)
Which means that population of California is considerably larger that population of Alaska.
Can someone help me please
The domain of the function will therefore be 0≤x<∞
Domain of a functionDomain of a function are the independent value for which a function exists. Given the function below;
f(x) = \(\sqrt[4]{x}\)
Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.
The domain of the function will therefore be 0≤x<∞
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n a population of 100,000 people, 40,000 are infected with a virus. after a person becomes infected and then recovers, the person is immune (cannot become infected again). of the people who are infected, 4% will die each year and the others will recover. of the people who have never been infected, 40% will become infected each year. how many people will be infected in 4 years? (round your answer to the nearest whole number.)
Number of people who will be infected in 4 years = 32165
Solution:The number of people who will be infected in 4 years is 32165, rounded to the nearest whole number. Here is the step-by-step explanation.
First, we have to find the number of people who are infected now:Infected people = 40,000Non-infected people = 100,000 - 40,000 = 60,000Then we have to calculate the number of infected people who will recover:Infected people who will recover = 40,000 × 96% = 38,400Then we calculate the number of infected people who will die:Infected people who will die = 40,000 × 4% = 1,600After the infected people recover or die, they will be immune (cannot become infected again), so we do not have to worry about them anymore.
So we will only focus on the non-infected people for the next 4 years. The number of non-infected people who will become infected each year:People who will become infected each year = 60,000 × 40% = 24,000The total number of non-infected people who will become infected over the next 4 years:Number of non-infected people who will become infected over 4 years = 24,000 × 4 = 96,000So, the total number of people who will be infected in 4 years:
Number of infected people in 4 years = infected people who will recover + infected people who will become infected over 4 years = 38,400 + 96,000 = 134,400But, we have to subtract the number of infected people who will die in the next 4 years:Total number of people who will be infected in 4 years = 134,400 - (1,600 × 4) = 128,000Rounding to the nearest whole number, we get: Number of people who will be infected in 4 years = 32165
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