Let f be a continuous function on an interval [a, b]. Then there is a number 1, called the definite integral off on [a,b], such that for each e > 0 there is a 8 >0 so that n f($)(** – -1) - I <€ 1-1
The definite integral of a continuous function on an interval [a, b] represents the area under the graph of the function within that interval. It provides a mathematical way to measure the accumulation of change of the function over that interval.
The definite integral of a function f on the interval [a, b] is denoted by ∫f(x)dx over the interval [a, b]. This integral can be approximated by dividing the interval [a, b] into smaller subintervals and calculating the area under the graph of the function over each subinterval. The smaller the subintervals, the closer the approximation will be to the actual definite integral.
The definite integral is said to be a limit, meaning that as the size of the subintervals approaches zero, the sum of the areas under the graph over each subinterval approaches a definite value, which is the definite integral.
In mathematical terms, for each positive number e, there exists a positive number δ such that if the subintervals have width less than δ, then the difference between the sum of the areas under the graph and the definite integral will be less than e. This means that the definite integral provides a precise value for the area under the graph of the function over the interval [a, b].
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The box plots show the average monthly high temperatures in degrees Fahrenheit for the cities of Las Vegas, Nevada, and Juneau, Alaska.
which statement does not appear to be supported by the information in the box plots
A. Las Vegas has a greater variation of temperatures than Juneau
B. the data for both Las Vegas and juneau are approximately symmetrical
C. Las Vegas has a Greater Media temperature than Juneau
D. the data for Las Vegas are skewed right ,and the data for Juneau are skewed left
I will mark it if you give me the answer please
The information that's not supported by the box plot is D. The data for Las Vegas are skewed right ,and the data for Juneau are skewed left.
What is a box plot?It should be noted that a box plot simply display the summary of a set of data.
In this case, it can be seen that Las Vegas has a greater median temperature than Juneau because of the increase in temperatures for Juneau.
The incorrect statement is that data for Las Vegas are skewed right and the data for Juneau are skewed left. This isn't appropriate as rather, the data for Las Vegas are skewed left.
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the answer is D.
D. the data for Las Vegas are skewed right ,and the data for Juneau are skewed left
Hii i really need help!!
Write a paragraph with 10+ sentences about something math related (algebra 1)
Answer:
Algebra 1 is the second math course in high school and will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions. ... Mathplanet hopes that you will enjoy studying Algebra 1 online with us!
Step-by-step explanation:
Ahmed bought a DVD for $15. He sold it to Barbara, making a 20% loss.
a) how much did Barbara pay for it?
b)Barbara later sold the dvd to luvuyo. she made 20% profit. how much did luvuyo pay for it ?
Answer:
15*80%=12$ dollars he sold it for her
(multiply by 80% because he lost 20%)
12*120%=14.40$ she sold it
(multiply by 120% because she made 20% more than 100%- regular price )
Step-by-step explanation:
Barbara pay 12$ dollars. Barbara later sold the DVD. She pay 14.40 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given; Ahmed bought a DVD for $15. He sold it to Barbara, making a 20% loss.
We need to find that how much did Barbara pay for it.
Barbara later sold the DVD. she made 20% profit and how much did She pay for it.
a) Now, multiply by 80% because he lost 20%.
15 x 80%
15 x 0.8 = 12$ dollars
b) Now, multiply by 120% because she made 20% more than 100%- regular price.
12 x 120%
12 x 0.12 = 14.40$
Barbara pay 12$ dollars. Barbara later sold the DVD. She pay 14.40 dollars.
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Find the solution of the system for which
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
4×4×4 give you 64, so closest is D
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
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9 divided by 1/5===================================
Answer:
here u go
Step-by-step explanation:
i got 45
2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. ²8
Answer:
Step-by-step explanation:
a.11/12 =11 is numerator and 12 is denominator
b.7/512 =75 is numerator and 512 is denominator
c.12/10 = 12 is numerator and 10 is denominator
d0/78 = 0 is numerator and 78 is denominator
point to remember : In fraction,upper part is always numerator and down part is denominator.
what is sin 23º?
5/13
12/13
5/12
12/5
By using trigonometry, it can be calculated that- sin 23º = \(\frac{5}{13}\)
What is Trigonometry?
Trigonometry is a branch of mathematics that studies the relationships between the sides and angles of triangles. It is used to calculate the lengths of sides, the measures of angles, and the relationships between the two. Trigonometry is important for understanding many areas in mathematics, such as calculus and engineering. Trigonometric functions are used to model and analyze phenomena in many areas, such as sound waves, light waves, and ocean tides. Trigonometric identities allow us to simplify equations and solve problems. Trigonometry is a fundamental tool in many scientific and engineering disciplines.
There are six trigonometrical functions. They are
\(sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta\)
\(sin\theta = \frac{perpendicular}{hypotenuse}\\cos\theta = \frac{baser}{hypotenuse}\\tan\theta = \frac{perpendicular}{base}\\cot\theta = \frac{base}{perpendicular}\\sec\theta = \frac{hypotenuse}{base}\\cosec\theta = \frac{hypotenuse}{perpendicular}\\\)
Trigonometry is a very important tool in mathematics.
For an angle of 23º,
Perpendicular is 5, base is 12 and hypotenuse is 13
sin 23º = \(\frac{5}{13}\)
First option is correct.
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ratio 5: 12 if there are 50 trucks how many cars are there
If the 50 trucks represent the 5 in the ratio 5:12, then there are 120 cars.
Please help me with this I will mark brainliest
Answer:
Step-by-step explanation:
1 similar
2 not similar
3 similar
4 similar
5 not similar.
6 not similar
Please Help!
Critical Thinking Path Question
1. What is the earliest start time for Task C?
2. . What is the earliest start time for Task E?
3. How long does it take to complete Task B?
4. What is the earliest the project can be completed?
5. What is the critical path?
This is the first stage of the two stage process which maps put all the timings. What you do is this:
Add up all the times as you go from start to finish, so if the first task has a duration of, say 4 weeks and the second one takes, say, 7 weeks, then the earliest start date of the first one is after zero weeks (so you put a zero in the top left corner of it's box) and the earliest start of the second one is after 4 weeks, so you put in a 4. On the third task you put 11 because that's the earliest you could start it, you can't do it sooner than that. It's just adding up. The largest total from the various routes is the Critical Path.
Things get interesting when you then do the backward pass, ie the same but from the finish, taking the numbers off the critical path total. So if the total came to 50 weeks and the last task was 4 weeks long you would put 44 in the bottom left corner - it must be started by then, so that's the latest start.
On the critical path the earliest and latest starts are the same, but on the floating tasks they will be different. The difference between them is how much float you have for that task - how much it can move and still not hold up the project.
The earliest and latest finish (put in the right hand corners) are the same as the starts but with the duration added. So in my example that I started with, EF is 4 for the first task, and 11 for the second. and during the backward pass the LF for the last task is 50.
All this easy if you are shown it and then try it on a real diagram rather than just in words....
A man bought one almirah for Rs 3640 and the other for Rs 4800. He sold the first almirah for a loss of 15% and the other at a profit of 13 1/3 %. How much did he gain or lose in the whole transaction.
Please tell the answer .
Answer:
Rs. 94
Step-by-step explanation:
We will denote the almirahs as A1 and A2 for ease of explanation. I am omitting currency until the final answer
For the following computations note that x% = x/100 in decimal so
15% = 15/100 = 0.15
13 1/3% = 13 1/3 ÷ 100 = 40/3 ÷ 100 = 40/300
Cost of A1 = 4800
A1 was sold for a loss of 15%
Loss = 15% of 3640 = 0.15 x 3640 = Rs 546
A2 bought at 4800 was sold at a gain of 13 1/3%
Gain from sale = 13 1/3% of 4800 = 40/300 x 4800 =Rs 640
We have to treat gain as positive and loss as negative to arrive at the answer
Net gain/loss = 640 - 546 = Rs. 94
Write down in terms of n, an expression for the nth term
of the following sequences
a) 25 20 15 10 5
Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
The nth term will be:
\(a_n=-5n+30\)
Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by
\(a_n=a_1+\left(n-1\right)d\)
Computing the common difference of all the adjacent terms
\(25,\:20,\:15,\:10,\:5\)
\(20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5\)
As the difference between all the adjacent terms is the same and equal to
\(d=-5\)
Also, the first term is:
\(a_1=25\)
Hence, the nth term will be:
\(a_n=a_1+\left(n-1\right)d\)
\(a_n=-5\left(n-1\right)+25\) ∵ \(a_1=25\), \(d=-5\)
\(a_n=-5n+30\)
Therefore, the nth term will be:
\(a_n=-5n+30\)
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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Erika is trying to prove that these triangles are similar. She says that ∠NOM ≅∠QOP by the reflexive property. What mistake did she make and what would be the correct answer?
Recall that the reflexive property of congruence states that:
\(\angle A\cong\angle A.\)Therefore Erika is incorrectly using the reflexive property of congruence.
The angles NOM and QOP are congruent because they are vertical angles.
Answer: Erika is incorrectly using the reflexive property of congruence, the correct answer is that the angles NOM and QOP are congruent because they are vertical angles and vertical angles are congruent.
What are the differences between the 3 classifications of chemical reactions?
Answer: A combustion reaction is a reaction in which a substance reacts with oxygen , usually with the release of heat and light to produce a flame. A combination reaction is a reaction in which two or more substances combine to form a single product. Decomposition reactions are the opposite of combination reactions.
Step-by-step explanation:
Please helpppppppppp
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What is the slope of the graph shown below?
Euclid Thales Hippocrates Pythagoras X regarded as the father of geometry a Greek geometer who has a theorem named after him a mathematician who compiled basic geometric facts, or elements, into a textbook X X a Greek philosopher who →contributed to five theorems of elementary geometry **got answer off here...showing the ones i got wrong ughh
Pythagoras - Has a theorem named after him
Thales - Contributed to the five basic theorems of geometry
What did Pythagoras do?Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.
Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.
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Rewrite the following equation as a function of x:
Answer:
Option (D)
Step-by-step explanation:
In a function y shows the values of the function (Output values) and x shows the (input values).
Therefore, to convert any equation into the function, we will solve the equation for y.
Given equation is,
680x + 10y - 1000 = 0
680x + 10y = 1000
68x + y = 100
y = -68x + 100
Now replace y by f(x).
Therefore, the function will be,
f(x) = -68x + 100
Option (C) will be the correct option.
what is the mean of 12342634
Answer:
Mean = 3.125 ≈ 3.13
Step-by-step explanation:
Mean = Sum of numbers = 1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13
Amount of number 8 8
a) Estimate the initial and final amounts of water contained in the pool.
The initial amount of water contained in the pool was __ thousands of gallons.
The required initial and final amounts of water contained in the pool are 46 ans 26 gallons of water.
Explain about Graph?A graph is made up of vertices, or points, and edges, or lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and uncorrected graphs, and simple graphs, there are many other forms of graphs.
According to question:As graph says
The initial amount of water contained in the pool is
at t = 0
= 46 gallons of water
And at t = 5, is final amount of water in pool
= 26 gallon of water
Thus, there are 46 ans 26 gallons of water.
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three quarters the product two number x and y
Answer:
0.75*(x)*(y)
Step-by-step explanation:
Which of the following ratios would form a proportion with Two-thirds?
a.
Three-fourths
c.
StartFraction 12 Over 15 EndFraction
b.
StartFraction 6 Over 9 EndFraction
d.
One-third
The proportion equivalent with Two-thirds would be 6/9.
Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the proportion with Two-thirds
If you actually divide it’ll make since , so first we want to divide the 2 , then you want to multiply the third of the two
2/3 x 3/3
6/9
thus, the answer will be 6/9.
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Mr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
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help mee please i need help
Answer:
this hard
Step-by-step explanation:
Answer: C
Step-by-step explanation:
One month Eric rented 3 movies and 5 video games for a total of $34. The next month he rented 9 movies and 7 video games for a total of $56. Find the rental
cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
G
O
G
movies 1.75 each
games 5.75 each