Answer:
f(-1) and f(0) are not true
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.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Select all the equations that can be used to describe the pattern in the table.
OPTIONS
4x=y
x÷y=0.25
x+y=25
x-y=15
y÷x=4
Answer: x divided by y= 0.25
Step-by-step explanation:
Please answer my question and explain it.
================================
Work Shown:
4 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
In short, 4 1/2 cups is the same as 4.5 cups
---------
1 cup = 8 fluid ounces
4.5*(1 cup) = 4.5*(8 fluid ounces) ....... multiply both sides by 4.5
4.5 cups = 36 fluid ounces
Answer:
D
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Answer:
b)
Step-by-step explanation:
Supplementary angles add up to 180 degrees, so the answer must be b). Let's check the math:
77 + (5x + 18) = 180
-77 -77
(5x + 18) = 103 --> here we already know this is correct, as the problem tells us that angle H is equal to this equation, (5x + 18), and we know that it is also equal to 103.
Which number sentence is true?
1. ESTIMATE THE NUMBER OF GALLONS REQUIRED TO PRODUCE 22 T SHIRTS. IS YOUR ESTIMATE AN OVERESTIMATE OR UNDERESTIMATE? EXPLAIN.
2. HOW MANY GALLONS OF WATER ARE REQUIRED TO PRODUCE 15 POUNDS OF CHOCOLATE? WRITE AND SOLVE AN EQUATION. LET 'g' BE THE NUMBER OF GALLONS.
(hidden water cost/ 1 pound of chocolate = 3,170 gal - 1 ream of paper = 1,321 gal -1 gallon of milk = 880 gal - 1 cotton t-shirt = 713 gal - 1 hamburger = 660 gal)
3. Extension : The owner of a company has a goal to reduce the company's water footprint by 100,000 gallons in one year. He estimates that if the company reduces its yearly need for paper by 80 reams, he will meet his goal. Could the owner have estimated correctly? Justify your answer.
What is the measure of angle x?
enter your answer in the box.
Find X in the equation
4x + 1/2 = 1/2x + 4
Answers:
A. x = 1
B. x = −1
C. x = 49/4
D. x = -49/4
To calculate the density of an object, its mass is ________ its volume.
A. Added to B. Divided by C. Multiplied by D. Subtracted by
Answer:
d= m/v
so it's B. Divided
HI!! I am not sure if I got the right answer and would love someone help! Q: Jane is joining a Gym. At maria's Gym she has to pay a membership fee of $25 and a monthly fee of $50. At George"s Gym she has to pay $25 per month plus a membership fee of $100. Write An Equation and solve to determine at how many months the cost of the two gyms will be the same?" My equation was 25+50m=25m+100 and a answer of M=3
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
What are the measures of angle DBE and angle BEF?
105 and 176
i guess you dont have to thank me
The mean for Set A is 28 and the mean for set B is 32.5. The mean absolute deviation (MAD) is 3. What is the difference of the means as a multiple of the mean absolute deviation (MAD)?
The difference of the means as a multiple of the MAD is
Answer:
-13.5
Step-by-step explanation:
Answer:
-13.5
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
graph f(x)=|x+1|+3 then find the domain and range
mainly looking at how id find the coordinates!
Domain is all real numbers. Range is
Step-by-step explanation:
The function is a transformation of the parent function by moving the function up by 3 units.
So, the graph of the function is shown below.
From the graph, it is clear that the values has no limitation and hence can take any real values. Domain is the set of all possible values.
So, domain is the set of all real numbers.
Range is the set of all possible values for for the given domain.
From the graph, the minimum value of is at the point (. So, the minimum value of y is 3. The value then goes on increasing towards infinity.
Therefore, range is a real number greater than or equal to 3.
So, range is or
What is the answer? Please tell me! I am in a hurry...
Part A. Write the equation 12x=−4y−8 in slope-intercept form.
Part B. Identify the y-intercept.
The slope-intercept form is y = -3 x - 2 and y-intercept is -2.
What is slope-intercept form?The slope-intercept form is equation of the line. i.e;
y = m x + c
where m is the slope of the line.
and c is the y-intercept.
Given,
The equation of the line
12 x = -4 y - 8
- 4 y = 12 x + 8
Multiplying both sides by -1
4 y = - 12 x - 8
Dividing both sides by 4
y = -3 x + -2
where -3 is the slope of the line.
So,The slope-intercept form is y = -3 x - 2 and y-intercept is -2.
Learn more about the slope-intercept form here:
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A container has a cylinder shape has volume of 125.6 cm cubed the hight is 10 cm what is the radius . Also use 3.14 for pi
The graph shows how the number of flowers Gavin can have in his garden is related to the number of seed packets he purchases.
Part A: Find the constant of Proportionality for this graph:
Part B: Write an equation representing the relationship shown in the graph:
Part C: The constant of proportionality means that Gavin can have__________ flowers per__________.
Answer:
A: 20:10=2:1
B: y=2x
c he can have 2 flowers per seed packet
Step-by-step explanation:
A: When you look at the coordinates of the graph, you can see the proportionallty at point (10/20)
B: the equoation is proportionalty multplied by x + y axis section (in this case 0)
C: The proportionality explains the relationship:
x represents the flowers
y represents the seed packets
Factor the expression using the GCF.
The expression 8x+2 factored using the GCF is
Answer:
x + 2 = 2 ( 4 x + 1 )
Explanation:
Factor
8 x + 2 .
Factor out the GCF
2 . 2 ( 8 4 x 2 1 + 2 1 2 1 )
Simplify.
2 ( 4 x + 1 )
Step-by-step explanation:
I think thats the answer if it is can you please mark brainliest:)
The factor after the expression by using GCF is 2(4x + 2).
What is the greatest common factor?The greatest common factor is the largest positive number which can be divided into given numbers evenly.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 8x+2. The factor of the expression by the GCF will be calculated as,
F = 8x + 2
F = 2 (4x + 1)
Therefore, the factor after the expression by using GCF is 2(4x + 2).
To know more about the greatest common factor follow
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Nya wants to buy a sweater that had an orignial price of $55. The sweater is now discounted 20% and the sales tax rate is 5.5%. How much will Nya (Ichi Ni Sy Nya Arigatooo) pay for the sweater?
Answer:
Step-by-step explanation:
Can someone help me solve this plsss i really need help with it NO LINKS AND NO DOING IT JUST FOR THE POINTS Will Give brainliest show your work and explain how you got your answer
Step-by-step explanation:
2. B (6,6 )
3. C (-3,-5)
5. is angle B
4. AC
6.
7. Is translated 2 unit to the right
c. they all move 2 unit to the right
Answer: B (6,6 )
C (-3,-5)
is angle B
AC
Is translated 2 unit to the right
they all move 2 unit to the right
Step-by-step explanation:
QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!
Answer:
223
Step-by-step explanation:
Can someone help me solve this? Pls and ty!
Answer:
H. 95°
Step-by-step explanation:
m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°
m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°
The sum of all angles in a placement like this will always equal 360°
So we put all the measures of all angles on one side of thee equation and set it equal to 360*
x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°
After combining like terms we get 9x° + 45° = 360°
After some algebra we get x = 35°
Now at the start we said that m∠DGE is x + 25°
Plug in 35° for x and we get 35° + 25°
The final answer is m∠DGE = 95°
Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.
Multiplication Rule: Rewrite the product as a single power.
84 · 85 =
Which measure of central tendency best describes the data?
12, 16, 17, 17, 16, 15, 20, 15, 16
A. mean only
B. either mean or median
C. median only
Answer:
If I'm not mistaken the correct answer should be B.
(-sorry if I got it Wrong-)
Can you help me with this?
Answer the question below:
Answer:
The least expensive is ham and the most expensive is Roast Beef.
Step-by-step explanation:
Answers rounded to the nearest cent.
Ham
\(\frac{14.50}{1.75}\) = $8.29
Ham costs $8.29 per pound
Turkey
\(\frac{26.25}{2.5}\) = $10.50
Turkey costs $10.50 per pound
Roast Beef
\(\frac{5.50}{\frac{3}{8} }\) = $14.67 per pound.
Answer:The least expensive is ham and the most expensive is Roast Beef.
Step-by-step explanation: I’m sorry if I didn’t explain if this did t help pls don’t report me!! But I do hope this help!
What are the new coordinates of triangle ABC where A (1, -1), B (2, -3), and C (3, -1) after a dilation from the origin with a scale factor of 3?
PLEASE I NEED HELP
Answer:
A' (3,-3) B' (6,-9) C' (9,-3)
Step-by-step explanation:
multiply each of the numbers by 3 (scale factor)
Someone help me!!! Please, i only have a few minutes :(
Answer:
true, false
Step-by-step explanation: