Using for loop we can get the syntax in order to calculate this arithmetic series n is A = 0.9999.
An arithmetic collection is the sum of the phrases in an mathematics collection with a specific range of phrases. Following is a easy system for locating the sum: Formula 1: If S n represents the sum of an mathematics collection with phrases.
This system calls for the values of the primary and ultimate phrases and the range of phrases. Finite Sequence- Finite sequences have countable phrases and do now no longer cross as much as infinity. An instance of a finite mathematics collection is 2, 4, 6, 8. Infinite Sequence- Infinite arithmetic collection is the collection wherein phrases cross as much as infinity.
using while
A=0; n=1; while n<=10000 A=A+(1/(n*(n+1))); n=n+1; end A
output
A = 0.9999
using for loop
A=0; for n=1:10000 A=A+(1/(n*(n+1))); end A
output
A = 0.9999.
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Correct Question:
The following series can be written with a shorthand form of sigma notation (A). Use while syntax to calculate this arithmetic series:
1/(1x2) + 1/(2x3) + 1/(3x4) + ... + 1/(n x (n+1)) ......1
A = ∈ 1/(n x (n+1)); n=[1:10000]
A product sells at a regular price of $150 which is on sale for 60% off the regular price. Find the sale price.
The new sale price of the product after the deduction of discount is $60
What is the sale price?In order to solve the given task, use the concept of percentage.
Regular price of the product = $150Percentage discount = 60%New price of the product = Regular price of the product - (Percentage discount × Regular price of the product)
= 150 - (60% × 150)
= 150 - (0.6 × 150)
= 150 - 90
= $60
Consequently, the new selling price of the product is $60
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in the xy-plane, the line x y k , where k is a constant, is tangent to the graph of 2 y x x 3 1. what is the value of k?
The value of k is -3.
What is a tangent line?
The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are endlessly close to one another.
Here, we have
Given
x + y = k
y = x² + 3x
slope of tangent line = dy/dx = 2x+3
k is y-intercept of the tangent line
2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1
The tangent line passes through the point (-2,-1)
k = x+y
k = -2 -1
k = -3
Hence, the value of k is -3.
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(71+9+3)-(9-11+2) I really need help
Answer: The correct answer is 83
Step-by-step explanation:
Complete the equations within each set of brackets
(71+9+3)-(9-11+2)
71+9+3 = 83
9-11+2 = 0
Subtract the results
83 - 0 = 83
which expression is equivalent to (1 tanθ)tan(2θ) for all values of θ for which (1 tanθ)tan(2θ) is defined?
The given expression of trigonometry is equivalent to cos(2θ).
What is trigonometric function ?trigonometry capability, in math, one of six capabilities (sine [sin], cosine [cos], digression [tan], cotangent [cot], secant [sec], and co-secant [csc]) that address proportions of sides of right triangles. These six geometrical capabilities comparable to a right triangle.
According to question:We have,
1 - tan^2(θ)/1 + tan^2(θ)
Use 1 + tan^2(θ) = sec^2(θ)
1 - tan^2(θ)/ sec^2(θ)
1/ sec^2(θ) - tan^2(θ)/sec^2(θ)
Use tan(θ) = sin(θ)/cos(θ)
cos^2(θ) - sin^2(θ)×cos^2(θ)/cos^2(θ)
cos^2(θ) - sin^2(θ)
Using sin^(θ) + cos^2(θ) = 1
cos^2(θ) - (1 - cos^2(θ))
2cos^2(θ) - 1
Here we have 2cos^2(θ) - 1 = cos(2θ)
Then, simplification of given expression is cos(2θ).
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Correct question:
which expression is equivalent to 1 - tan^2(θ)/1 + tan^2(θ) for all values of θ for which 1 - tan^2(θ)/1 + tan^2(θ) is defined?
Which figure is
misleading?
1) Figure A
2) Figure B
Answer:
Figure B.
Step-by-step explanation:
Figure A uses what is visually similar in size cylinders to give a detailed image of the amount of money (assumingly as profit). Each given cylinder that is in similar size represents $200, and so it is easy to figure out how the amount of money per store.
In the case of Figure A,
Save Store = $400
Leff's Store = $800
Low Pricer = $1200
In the case of Figure B, however, while it gives a legend for price per cylinder of that proportion, it does not make use of the legend, and does not give a adequate legend to decipher the Figure. In essence, the data given in Figure B is useless as it makes no use of its legend.
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Find the digits in the ones,tens,and thousandth place
603.2798
Answer:
3 is in the ones place
0 is in the tens place
9 is in the thousandths place
Step-by-step explanation:
thousands, hundreds, tens, ones (DECIMAL) tenths, hundredths, thousandths
(-11)-2= I need to know the answer to this question
Answer: I = -13
Step-by-step explanation:
We just need to take the -11 -2 = -13. A negative -11 subtracts negative 2 = -13
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Answer: -13
Step-by-step explanation:
The answer is negative 13 because a negative added by a negative equals a negative
PLS HELP Me out!!! 30pts
Answer: D is correct
Step-by-step explanation: Another angle is needed to prove the triangles are congruent by the ASA theorem. The angle that needs to be added has to have segment QS in between it and angleQSR. The only angle that does that is angleRQS. For the 2nd triangle, do the same thing. The angle that needs to be added has to have segment ST in between it and angleUST. The only angle that does that is angleSTU.
Which one blue, light blue , yellow or red
answer:
f(g(x))=4x^2-2
step-by-step explanation:
plug g(x) into f(x) to get f(g(x))=2(x^2-1). when this is simplified, you get the answer presented above. the correct answer would be the green option. hope that helps!
4 a. Graph the following system of equations.
y = -3x
y = x + 4
b. what does the graph show to be the solution of the system?
5 DeAndre and Leah are making origami cranes. their goal is to complete 1,000 cranes by the end of the summer.
- DeAndre already has 30 cranes and makes 5 more each day.
- Leah already has 10 cranes and makes 15 more each day.
The graph shows how many cranes, c, each person has made after d days.
a. what does the graph show to be the solution of the system?
b. what does the solution mean in this context?
4. a. The graph of the system is attached below.
b. The solution is: (-1, 3).
5. a. (2, 40) is the solution as shown by the graph.
b. (2, 40) means that both will complete 40 cranes after 2 days
How to Graph a System of Equation?On a graph, when two lines are plotted for different equations, the solution is the coordinates of the point where both lines intersect.
4. a. The graph of y = -3x is the red line in the image attached below, while that of y = x + 4 is the blue line. They both intersect each other at (-1. 3).
b. The solution of the system is therefore, (-1, 3).
5. a. Using the graph given that shows the lines of the equations of DeAndre and Leah, both lines intersect at (2, 40).
We can therefore state that the solution to the system as shown in the graph is: (2, 40).
b. In the context of the scenario given, the solution (2, 40) means that both will have completed equal amounts of 40 cranes after 2 days.
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given a fair 6-sided die if you roll it 5 times and add up the results, what is the probability that the sum is divisible by 6
1/6 is the Dice roll probability that the sum is divisible by 6
What is Dice roll Probability ?
An event is a specific subset of the sample space in probability. The sample space, for instance, is equal to all of the values on the die, or the set, when just one die is rolled, as in the example above (1, 2, 3, 4, 5, 6). Each number in the set only appears once since the die is impartial. The frequency of each number is thus 1. We divide the event frequency (1) by the size of the sample space (6) to get the chance of rolling any one of the die's numbers, which comes out to 1/6.
The difficulty of computing probability more than doubles when two fair dice are rolled. This is so that rolling one die does not affect rolling another. A roll does not affect another roll. We apply the multiplication rule when dealing with independent occurrences. A tree diagram is used to show that there are 6 × 6 = 36 possibilities that can result from rolling two dice.
We know that whatever be the first four numbers , the fifth number will decide whether the sum is divisible by 6 or not
That is let , S= N+N5
Before adding N5 , we cannot say whether S is divisible by 6
N5 is chosen from 6 equally likely numbers ,1,2,3,4,5,6
P(N5) =1/6
Therefore Dice roll probability that sum is divisible by 6 is 1/6
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7x4+10÷5 can someone pls help i have been on this question for 2 1/2 hours periodtttt
Answer:
30.
Step-by-step explanation:
First, we have to split up the equation:
(7 x 4) + (10 ÷ 5)
Now, we simplify:
(7 x 4) + (10 ÷ 5)
28 + 2
28 + 2 = 30.
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An elevator i on the twentieth floor. It goe to 22 floor. What floor i the elevator on now?
The elevator is on the 42th floor on moving 22 floor up to the present location of 20th floor.
Define the term addition of the numbers?Combining objects and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together. Addends are also the numbers that are added, while the total refers to the outcome of the operation.Regarding the posed query:
Initial position of the elevator = 20th floor.Number of floor travelled by elevator = 22.Thus,
Current position = 20 + 22
Current position = 42
Thus, the present location of the elevator is on 42th floor.
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Graph negative 3.5 and negative 1.5 on the number line
The required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.
What is Number Line?To indicate their position, all rational numbers can be plotted on a number line. Every point on the number line indicates how many units a number is away from zero and in which direction.
As per the question, the negative 3.5 placed on the number line is 3.5 units to the left of zero, and the negative 1.5 placed on the number line is 1.5 units to the left of zero. The number zero is the most essential position on the number line. All of the other locations on the number line are predicated on zero.
Thus, the required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.
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in one of the properties of logarithms, the division becomes subtraction. explain what it means. provide an example where this property may be applied. include reference(s) in your post.
Explained the quotient property "one of the properties of logarithms, the division becomes subtraction" has been explained with an example
In one of the properties of logarithms, the division becomes subtraction. That is the quotient property of the logarithm
Consider the two positive numbers x and y and a ≠ 0
Then,
[tex]log_a[/tex] (m /n) = [tex]log_a[/tex] m - [tex]log_a[/tex] n
Here division became the subtraction
For example
To find the value of [tex]log_2[/tex] (15/ 7) we will use the quotient property of logarithm, here the division of the numbers will be subtraction
[tex]log_2[/tex] (15 / 7) = [tex]log_2[/tex] 15 - [tex]log_2[/tex] 7
Therefore, the quotient property of the logarithm has been explained with example
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Plot the points (0, 6) and (3, 0). What is the slope?
6/-3
O 1/2
-1/2
6/3
Slope is "change in y over change in x".
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using those two points, you'd have
[tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{0-6}{3-0}=\dfrac{-6}{3}=-2[/tex]
Notice that doesn't match any of the listed answers. The reason is that two of those answers aren't reduced.
If you reduce the first answer of [tex]\dfrac{6}{-3}[/tex], you have [tex]\dfrac{6}{-3}=-2[/tex]. So that first answer is equivalent to the calculation above.
The answer from your list is the first one.
One year, the population of a city was 117,000. Several years later it was 136,890. Find the percent increase.
The percentage of increase in the population is 17 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage increase in the population be = A
Now , the equation will be
The initial population of the city = 117,000
The increase in population of the city = 136,890
Now , the percentage increase in population is given by the formula
initial population of the city + ( A / 100 ) x initial population of the city = increase in population of the city
So , on substituting the values in the equation , we get
Percentage increase in population = 117000 + ( A/100 ) x 117000 = 136890
117000 + ( A/100 ) x 117000 = 136890
Subtracting 117000 on both sides of the equation , we get
( A/100 ) x 117000 = 19890
Divide by 117000 on both sides of the equation , we get
A / 100 = 0.17
Multiply by 100 on both sides of the equation , we get
A = 17 %
Therefore , the value of A is 17 %
Hence , The percentage of increase in the population is 17 %
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
42:48
Answer:
7/8
Step-by-step explanation:42/48 divide both by 6 since that's the greatest common number that divides both
the surface area of a rectangular box is given by the polynomial 2hl 2lw 2hw and is measured in square units. a rectangular box is to be constructed for shipping materials. the box is to have dimensions of 5 inches by 3 inches by 7 inches. find the surface area of the box.
Surface area of the box measuring 5 inches by 3 inches by 7 inches is 142 square inches.
What is surface area ?The surface area of the object that refers to the overall space that is filled by its surfaces. Different 3D shapes in the geometry have various surface areas, which can be quickly estimated using the formulas. Two categories are used to classify the surface area:
Curved surface area or Lateral surface area
Surface area in total
Surface area of rectangle = 2 ( lb + bh + hl )
Dimensions of box = 5 inches by 3 inches by 7 inches
Hence,
Length = 5 inches
Breadth = 3 inches
Height = 7 inches
By putting it in formula of surface area of rectangle
= 2 ( lb + bh + hl )
= 2 ( 5*3 + 3*7 + 7*5 )
= 2 ( 15 + 21 + 35 )
= 2 * 71
= 142 square inches
Hence, the total surface area of the box is 142 square inches.
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the lengths, in inches, of adult corn snakes are normally distributed with a population standard deviation of 8 inches and an unknown population mean. a random sample of 25 snakes is taken and results in a sample mean of 58 inches. identify the parameters needed to calculate a confidence interval at the 99% confidence level. then find the confidence interval. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576
We can estimate with standard deviation of 8 that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
x = 58
σ = 8
n = 25
z α/2 = 2.576
(53.88, 62.12)
the given values σ=8, n=25, and z α/2=2.576 for a confidence level of 99%, we have
margin of error=(2.576)(8/√25)
≈ (2.576)(1.6)
≈4.12
With x¯=58 and a margin of error of 4.12, the confidence interval is
(58−4.12,58+4.12)
= (53.88 , 62.12).
therefore we can estimate with 99% confidence that the true population mean length of adult corn snakes is between 53.88 and 62.12 inches.
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Jose spent 7 days at soccer camp. Each day he spent 4.5 hours training in the midfield. Each hour of training, he ran 1.5 miles. How many miles did he run while at soccer camp?
Aaden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3. 10 plus $2. 75 per mile. The total fare was $27. 85, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
The equation that will be used to solve the given question is [2.75x+3.10=27.85] and with the help of this equation we know that Aaden took a ride of 9 miles.
What is an equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
So, we know that:
The pick-up fee that the company charges is: #3.10
Ride charges per mile: $2.75
Total fare price: $27.85
So, let x be the number of miles ridden, the equation that will be used to solve the given question will be:
2.75x + 3.10 = 27.85
Now, solve as follows:
2.75x + 3.10 = 27.85
2.75x = 27.85 - 3.10
2.75x = 24.75
x = 24.75/2.75
x = 9
Therefore, the equation that will be used to solve the given question is [2.75x+3.10=27.85] and with the help of this equation we know that Aaden took a ride of 9 miles.
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a cowboy agreed to work for one year for $\$19{,}200$ plus a horse. he quit after 7 months and was paid $\$10{,}450$ plus a horse. how many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?
The horse was worth it for $1800.
What is proportion?
A mathematical comparison of two numbers is called a proportion. Ratios and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion. In this case, a and b can be any two integers.
Based on the given question condition, where, 'h' denotes the amount for the horse in dollars, the proportion can be defined as:
or, [tex]\frac{19200 + h}{12} = \frac{10450+h}{7}[/tex]
or, (19200 + h)7 = (10450 + h)12
or, 134400 + 7h = 125400 + 12h
or, 12h - 7h = 134400 - 125400
or, 5h = 9000
or, h = 9000/5 = 1800
Hence, the horse was worth $1800.
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Chris earns $7.00 per hour working on the weekends
He needs at least 210.00 for a new cell phone
Just look at the picture and help please
The price of Stock A at 9 A.M. was $12.71. Since then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $13.21. It begins to decrease at the rate of $0.11 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
In 2.63 hours the prices of the two stocks be the same
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
The price of Stock A at 9 A.M. was $12.71.
Price has been increasing at the rate of $0.08 each hour
Price of Stock B was $13.21
The price has been decrease at the rate of $0.11 each hour.
We can write in the form of equation , to find how many hours will the prices of the two stocks be the same
12.71+0.08h=13.21-0.11h
0.11h+0.08h=13.21-12.71
0.19h=0.5
Divide both sides by 0.19
h=0.5/0.19
h=2.63
Hence, in 2.63 hours the prices of the two stocks be the same
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Line v is perpendicular to the graph of y= 2x - 11. Line w is parallel to line v and passes through point (-6,10)What is the equation in slope-intercept form of line w?
Answer:
y=26x-+8
Step-by-step explanation:
the actual answer pleaseee hellpp asapp
Answer:
∠BEC is supplementary to ∠AEB
∠AED and ∠BEC are a pair of vertical angles
Suppose are running a study/poll about the probability of catching the flu this year. You randomly sample 142 people and find that 69 of them match the condition you are testing. Suppose you have the following null and alternative hypotheses for a test you are running: H 0 : p = 0.54 H a : p < 0.54 Calculate the test statistic, rounded to 3 decimal places
The test statistic of null and alternative hypotheses for a test is 0.811.
69 of the 142 persons that were randomly chosen from a sample are found to meet the condition we are testing.
The sample proportion phat = 69 ÷ 142 = 0.489
n = 69
p = 0.54
the following are your test's null and alternate hypotheses:
[tex]H_0[/tex] : p = 0.54
[tex]H_a[/tex] : p < 0.54,
test statistic,
z = (phat - p) ÷ √(p × (1 - p) ÷ n)
z = (0.489 - 0.54) ÷ √((0.79 × 0.21) ÷ 42) = 0.811
A test statistic is a figure obtained from a statistical analysis. It explains how distant the observational values seem to be from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.
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When the height of the cylinder increased from 100 m to 1000 m, what happened to the amount of heat generated in the system? it decreased by a factor of 10. it decreased by a factor of 5. it increased by a factor of 5. it increased by a factor of 10.
When the height of the cylinder increased from 100 m to 1000 m, what happened to the amount of heat generated in the system is decreased by a factor of 10.
Define the term potential energy?Potential energy is the energy that a body possesses as a result of its position. Heat is produced when this energy is transformed.The potential energy formula is provided by
P.E. = m g h
In which m is the body's mass, h its height, and g its gravitational acceleration.When a body is at a height of 100 m, its potential energy is
P = mgx100x100=100mg
When a body is at a height of 1000 m, its potential energy is
P' = mxgx1000x1000
P' = 1000 mg
P' to P have a 10:1 ratio.
Thus, ten times as much heat is produced in the cylinder.
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The answer is D: It increased by a factor of 10.
Adrian took out a students' loan that charges 10% annual simple interest. If Adrian paid back a total of $1200 in interest alone during the first four years , how much was Adrian's original loan, in dollars?
$1,000
$3,000
$4,000
$ 6,000
$12,000
The required simple interest of 10% of four year on principle amount is $857.
What is simple interest?Simple interest depends on the chief measure of a credit or the first store in quite a while account. Straightforward interest doesn't build, and that implies a loan boss will just compensation interest on the chief sum and a borrower couldn't have ever to pay more interest on the recently gathered interest.
According to question:We have,
Amount of four year = $1200
simple interest = 10%
Let loaned amount is x
Then,
interest of four year =×4 x×10/100 = 4x/10
According,
x + 4x/10 = $1200
14x/10 = $1200
x = $12000/14
X = $857 (appox)
Thus, the required loaned amount is $857.
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