Answer:
I need to see the option
Answer:
A and D
Step-by-step explanation:
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Pls answer all I don’t know if I got the other one correct
Answer:
2x27= 74
Step-by-step explanation:
the rest are correct
Answer:13. 2x3x7
14. 17 it’s a prime number
15. 2x3x17
16. 3x3x3x3
17. 2x2x2x3
18. 97 it’s a prime number
19. 5x13
20. 2x3x3
21. 2x2x2x3x5
22. 2x19
23. 2x2x2x5
24. 2x2x2x2x3
Step-by-step explanation:
hopefully this helps
I’m always here if yhu need anymore help
3973の平方根は何ですか?あなたの推論を説明してください。
I am sorry, I do not know how to delete this answer.
I was going to write something, though I do not know how to do a step by step explanation.
申し訳ありませんが、この回答の削除方法がわかりません。
ステップバイステップの説明の仕方がわからないのですが、何か書こうと思っていました。日本語が下手で申し訳ありませんでした。
Without the step by step explanation, the answer is 63.0317380373.
ステップバイステップの説明がなければ、答えは63.0317380373です。
I need help with these ASAP, the assignment is due today and plz explain.
Answer:
Step-by-step explanation:
-8 <= x <= -1
Answer:
14234
Step-by-step explanation:
123124
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
5. The cost of 3 burritos is $25.50. If the cost is proportional to number of
burritos ordered, which of the following prices is NOT an equivalent rate?
Answer:
its $26.75
Step-by-step explanation:
Answer:
26.75£ The answer .
The cost of every college is expected to increase 3.5% next year. Write an equation that will help calculate the cost of other colleges next year. Use t to represent this year's cost and n
to represent next year's cost.
Answer:
n=t+t0.035
Step-by-step explanation:
If this year's cost is t, and next year's is n, and the difference between them is 3.5/100, so it is t, this year's cost, plus 0.035 of t, that is next years cost, n.
Answer: n=103.5t
Step-by-step explanation:
I don't have a step-by-step explanation but I hope this helps! :)
I have no idea how to even start this problem
Bottom-48, 80
Top-4, 9
The rule is 1 gallon = 8 miles.
Hope this helps:)
Answer:
32=4 6=48 72=9 10=80
Step-by-step explanation:
multiply gallons by 8
The attendance at school one day was 720. This represented 96% of the total enrollment. What was the total enrollment of this school?
List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the fraction formed must be in simplest form [For the ones who can't read what it says.]
Answer:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step-by-step explanation:
It takes 10 mins to fill a bath with just the hot tap and 15 minutes to fill it just with the cold tap.
How long wikll it take to fill the bath if you run both taps at once?
Please give a equation or the steps of solving, thanks a lot!
===========================================================
Explanation:
Let's say the tub is 30 gallons. I'm picking this number because it's the LCM of 10 and 15. Picking the LCM means that later division operations result in a whole number.
The hot tap takes 10 minutes to fill the tub. Its rate is 30/10 = 3 gallons per minute.
Rate = (amount done)/(time)
The cold tap works at a rate of 30/15 = 2 gallons per minute.
When both taps are running at the same time, they combine to a total rate of 3+2 = 5 gallons per minute. Therefore, it will take 30/5 = 6 minutes if both taps are opened.
Time = (amount done)/(rate)
-------------------------
Another approach:
The hot water tap takes 10 minutes to do 1 job. That "1 job" refers to "fill the bathtub". The unit rate here is 1/10 of a job per minute.
Meanwhile, the cold tap has a unit rate of 1/15 of a job per minute.
The combined rate is 1/10 + 1/15 = 3/30+2/30 = 5/30 = 1/6 of a job per minute.
x = number of minutes it takes to fill the bathtub if both taps are going at once.
We can say:
(unit rate)*(time) = amount done
(1/6 of a job per min)*(x minutes) = 1 job
(1/6)x = 1
x = 6 minutes is the final answer
-------------------------
Another approach:
The template for problems like this is:
1/A + 1/B = 1/C
where
A = amount of time for the hot tap water (working alone)B = amount of time for the cold tap water (working alone)C = amount of time if the two taps work togetherWe end up with the equation
1/10 + 1/15 = 1/x
This can be rearranged into
(1/10+1/15)x = 1
and also rearrange into
(1/6)x = 1
Follow the steps mentioned earlier to end up with 6 minutes as the final answer
HURRY PLS RUNNING OUTTA TIME!!!!! If this rectangle is dilated using a scale factor of One-half through point B, what is the result?
Point B is the bottom left corner of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is half the size of rectangle X and point B is at the bottom left corner.
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X and is outside of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is half the size of rectangle X and is outside of rectangle X.
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X and is outside of rectangle X.y-step explanation:
need help with this answer asap pls
Answer:
the answer is 40.25
Step-by-step explanation:
:)
Answer:
The answer is 38.5
As the cluebox says "You bought less than 23/2 sheets".So while doing round up it will be 11.
So, 11*3.5=38.5
Write an inequality to represent each
situation:
A. A number, n, is greater than 22
B. The value, v, does not equal 2.5
C. Sally’s age, a, is at most 15
plz help me with the attachment
Answer:
Step-by-step explanation:
With respect to angle Ф in the right triangle shown:
the opposite side is the leg LP, and
the adjacent side is the leg LM, and
the hypotenuse is MP.
The "perpendicular" is the leg LP, in which case the "base" is LM. Notice that these two legs are perpendicular to one another.
The angles represented by the expressions (2x+46) and (3x-6) are complementary angles. find the measure of the larger angle. Im really confused. Could someone help.
Answer:
66
Step-by-step explanation:
complimentary angles add up to 90 so:
3x-6 + 2x +46 = 90
5x +40 = 90
5x = 50
x = 10
2(10)+46 = 66
3(10) - 6 = 24
Help :l Thank you very very very much...
Answer:1152 ft^2
Step-by-step explanation:
Sooooo, I’m confused- I have 12 questions to get done by midnight lol. HELP
Answer:
Median = 0.67 Oz
Step-by-step explanation:
Find x and y. pls help
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
Look at the stem-and-leaf plot. What is the mode?
A) 0
B) 1
C) 20
D) 31
Answer:
1
Step-by-step explanation:
The mode is the number that shows up most in a set of numbers and 1 shows up the most therefore it's 1
The inequality x ≥ 25 can be used to represent the distance an athlete runs each week, where x is the distance in miles.
Which of these statements best describe the distance run by the athlete each week?
1. The distance is more than 25 miles.
2.The distance is no more than 25 miles.
3.The distance is at least 25 miles.
4.The distance is less than 25 miles.
Answer: 3
Step-by-step explanation:
because that symbol means equal to or greater than/ equal to or less than depending which way its facing.
Complete the equation.
3x^2 times (9x)^0
Answer:
\(\boxed {3x^{2}}\)
Step-by-step explanation:
⇒ 3x² × (9x)⁰
⇒ 3x² × 1 (Any number raised to 0 is equal to 1)
⇒ 3x²
Answer:
3x²
Step-by-step explanation:
3x²×(9x)raised to zero
= 3x²×1
=3x²
Helppp meeee plssssss
Step-by-step explanation:
A, Band D are the answers
Answer:
it's letter A.
Step-by-step explanation:
wish it help
There are 94 people signed up to run at a marathon. After the finish line there will be tables that can seat 6 people. How many tables are needed for all the runners?
Answer:
16
Step-by-step explanation:
You will need to divide 94 by 6 and that will give you 15.6, but you can't have .6 of a table, so you would need 16 tables. Hope this helps!
(I sincerely apologize if I'm wrong)
Answer:
16
Step-by-step explanation:
94/6 = 15.6
15.6 rounded is 16
Solve for m. 10+8m= – 10m–8
m=
Answer:
Step-by-step explanation: don't know
PLEASE HELP IM DOING MULTIPLE QUESTIONS ILL GIVE BRAINLIEST FOR ALL QUESTIONS TODAY
Answer:
\(s\geq 45\)
Step-by-step explanation:
First, we need to find out how many spoons Lily actually needs.
420-159=420-160-1=269
Next, we need to find out how many packs of spoons Lily needs.
269/6=44.83333333…
Now we need to round this number down and add 1.
44+1=45
Finally, we need make an inequality. Remember, “at least” means greater than or equal to.
\(s\geq 45\)
There is a question I am really struggling with in Math!
Question: Nathan’s lawnmower uses 2/3 of a tank of gas to cut three one-acre lawns. How many one-acre lawns can he cut with a full tank of gas?
Answer: Using the data you have given, it seems he can cut 1 and a half lawns on a third of a gas tank this data, and multiplying it by 3, Nathans lawn mower can mow down 4 one-acre lawns, and a lawn thats half an acre. (your answaer is basicly 4 lawns)
Step-by-step explanation:
A yogurt shop offers 10 different flavors of frozen yogurt and 14 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?
Answer:
140 options
Step-by-step explanation:
10 * 14 = 140