Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Brian has £98. Colin takes £y. How much is left?
£
Answer:
he has £98-y
Step-by-step explanation:
im not sure though
What is the answer to the problem?
30 = -5(m + 6) + m
30=−5(m+6)+m
Step 1: Simplify both sides of the equation.
30=−5(m+6)+m
30=(−5)(m)+(−5)(6)+m(Distribute)
30=−5m+−30+m
30=(−5m+m)+(−30)(Combine Like Terms)
30=−4m+−30
30=−4m−30
Step 2: Flip the equation.
−4m−30=30
Step 3: Add 30 to both sides.
−4m−30+30=30+30
−4m=60
Step 4: Divide both sides by -4.
−4m
−4
=
60
−4
m=−15
Answer:
m=−15
3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?
Describe how you can tell whether a lines slope is greater than 1,equal to 1, or less than 1
Answer:
Rise over Run
Step-by-step explanation:
You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.
Hope this Helps!
What is the slope of the line i need help asap
Answer:
Step-by-step explanation:
is C -1/2
y=mx+b
2y=6-x
y=-x/2 +3
m=-1/2
During a sale, a store offered a 40% discount on a tablet that originally sold for $760.
After the sale, the discounted price of the tablet was marked up by 40%.
To the nearest cent, what is the difference between the original price $760 and the price after the markup?
Answer:
304
Step-by-step explanation: x/760 40/100=
760x40=30,400
30,400 divided by 100=304
Write fraction or mixed number as decimal 27/75
9/3. 5/14 hope that's the right awnser
0.36. i just had this question and got it right. :)
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6
Answer:
We want x We have a 30-60-90 triangle So we get [tex]2 \sqrt{3} [/tex]The value of 'x' will be;
⇒ x = 2√3
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now,
We know that;
⇒ tan θ = Perpendicular / Base
Here, Perpendicular distance = x
And, Base = 6
Substitute all the values, we get;
⇒ tan θ = Perpendicular / Base
⇒ tan 30° = x/6
⇒ 1/√3 = x/6
⇒ x = 6/√3
⇒ x = 2√3
Thus, The value of 'x' will be;
⇒ x = 2√3
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ2
517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
24 apples and 36 oranges in a basket. What percentage of the fruit is oranges
Answer:
24 %
Step-by-step explanation:
thats easy
HELP PLEASE
-9x + 3 > 39 OR - 5x + 6 < 16
9514 1404 393
Answer:
(-∞, -4) ∪ [-2, ∞)
Step-by-step explanation:
The solution to the first inequality is ...
-9x +3 > 39
-9x > 36 . . . . . subtract 3 from both sides
x < -4 . . . . . . . divide both sides by -9; reverse > to < because -9 is negative
__
The solution to the second inequality is ...
-5x +6 ≤ 16
-5x ≤ 10 . . . . . . . subtract 6 from both sides
x ≥ -2 . . . . . . divide both sides by -2; reverse ≤ to ≥ because -2 is negative
__
These solution sets are disjoint. The solution of the OR of these inequalities is the union of the solution sets. The graph is shown below. In interval notation, it is described by ...
(-∞, -4) ∪ [-2, ∞)
The -2 has a square bracket because it is included in the set. The curved bracket at -4 indicates it is not included.
BRAINLIEST
please help and leave a small explanation :)
Answer:
180-118= 62
Answer is angle E= 62
Step-by-step explanation:
Vertical opposite angle of 118 is 118
So, we found out the interior angle. And sum of interior angles is 180. So you subtract 118 from 180 to get angle E.
Hope this helps!!!
Answer:
E is 62
Step-by-step explanation:
First find any angle relationships with the angle 118.
You can see that 118 can go next to E (corresponding angles).
That is a straight line, so in total it will 180 degrees.
180-118 would be E.
180-118 is 62.
hope this helps! :)
aight plz help anyone lol
Answer:
=140/7-13/7
hope it helps.
6 pounds of bananas are 5.94 what would be the cost for 10 pounds?
Answer:
Step-by-step explanation:
if 6lbs costs 5.94
5.94/6=0.99
10lbs
0.99*10=9.90 dollars
The shape of this particular section of the rollercoaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of a roller coaster is 30 feet above the ground.
1. Write the equation that models the height of the roller coaster.
a. Start by writing the equation of the circle. (Remember that the general form of a circle with the center at the origin is x^2 + y^2 = r^2
b. Now solve this equation for y. (Remember the roller coaster is above ground, so you are only interested in the positive root.
2. Graph the model of the roller coaster using the graphing calculator. Either sketch by hand or take a picture and paste the image below.
Answer:
Step-by-step explanation:
Part A
x^2 + y^2 = 30^2
I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).
Part B
y^2 = 900 - x^2
y = sqrt(900 - x^2)
Part C
The graph is actually y = - sqrt(900 - x^2)
That's the only model I can come up with
The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).
Perhaps it means graph15b. I can't really tell.
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $13.25, and tickets cost $31.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Step-by-step explanation:
13.25x + 31.50x≤155
44.75x≤150
what is the point of this
Answer:
B and I are both coplanar
Step-by-step explanation:
I NEED HELP!! Please
Answer:
Step-by-step explanation:
P represents the original price of the sandwich
1.5 represents the discount
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
a
Step-by-step explanation:
it won't be 5
nor 60
and it won't be 15
5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
what is cheaper 6lbs for $50.00 or 6.5lbs for $60.00
Answer:
6lbs for $50.00 is cheaper
Step-by-step explanation:
Answer$50
Step-by-step explanation:
What is the value of f(3) f ( 3 ) for the function f(x)=4x−1
Answer:
1
Step-by-step explanation:
f(x)=4x-1
3(x)=4x-1
3x=4x-1
3x-4x=-1
-1x=-1
x=1
can someone help me?
Step-by-step explanation:
the answer would be
4
2
1
3
5
solve for (0)
12
15
Round to the nearest hundredth
Answer:
.014
Just trust me, you know I have your back
Which point is the reflection of point E across the y-axis what are it’s coordinates ??
Answer:
Point J is the reflection, and the coordinates are (0,-2)
Step-by-step explanation:
Answer:
The reflection of point E across the y-axis is J(-2, 0).
Step-by-step explanation:
!!edmentum answer!!
I want to double-check my answer. I think it may be wrong. I need this ASAP. Have a great day.
This is not the correct answer.
1. 2.30 is not even close to the point given in the number line.
2. My guess for the correct answer would be 0.23 because in between 0.2 and 0.3 is 0.25, so the best answer would be 0.23.
What’s the answer to this problem
Answer:
1.2075
Step-by-step explanation:
Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)
Answer: 1.2075
Step-by-step explanation:
multiply 0.69*1.75 and u will get 1.2075