Answers
Related Questions
What is the slope of this graph.
Answers
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
Answers
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.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true? Check all that apply.
2 dots plots. A dot plot titled Number of hours spent on social networks goes from 0 to 4.5. 0 has 3 dots, 0.5 has 5 dots, 1 has 2 dots, 2.5 has 4 dots, 3 has 3 dots, 3.5 has 1 dot. A dot plot titled Number of hours spent on homework goes from 0 to 4.5. 0 has 1 dot, 0.5 has 1 dot, 1 has 4 dots, 1.5 has 8 dots, 2 has 3 dots, and 4.5 has 1 dot.
Answers
Answer:
Step-by-step explanation:
The following statements are true:
More students spent more time on social networks than on homework.
The most common amount of time spent on social networks was 0.5 hours.
The most common amount of time spent on homework was 1.5 hours.
The following statements are false:
The same number of students spent 0 hours on social networks and homework.
The same number of students spent 1 hour on social networks and homework.
The same number of students spent 2 hours on social networks and homework.
- The median number of hours spent on homework is greater than the median number of hours spent on social networks.
- The range of the hours spent on homework is greater than the range of the hours spent on social networks.
- The mode of the hours spent on homework is 1.5, while there is no mode for the hours spent on social networks.
- The majority of students spent more time on homework than on social networks, as there are more dots in the dot plot for homework than for social networks.
- There is at least one student who spent 4.5 hours on homework, but no student spent more than 3.5 hours on social networks.
What are the terms in the expression 4 + 9v + 6w?
A. 4, 9v, and 6w
B. 4, 9, and 6
C. v and w
D. 9 and 6
Answers
Answer:
A. all the numbers and letters make up the term
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Terms are the number with their variables so 4 9v and 6w are the terms.
HELP ASAP
Find the surface area of the prism. Write your answer as a decimal.
A triangular prism. The base triangle is a right triangle with base of 10 inches, height of 9 inches, and hypotenuse of 13.5 inches. The height of the prism is 9 inches.
Answers
Answer:
5
Step-by-step explanation:
9×9 - 13.5 ÷10=9 =*÷&#>÷<$<÷>#*#*#*#*#*=*/&=
The area of the triangular base is:
Area = (1/2) * base * height = (1/2) * 10 in * 9 in = 45 in^2
The area of the three rectangular faces is:
Area = length * width
For the rectangular face adjacent to the base triangle, the length is the hypotenuse of the base triangle, which is 13.5 inches, and the width is the height of the prism, which is 9 inches. Therefore, the area is:
Area = 13.5 in * 9 in = 121.5 in^2
For the other two rectangular faces, the length is the hypotenuse of a right triangle with legs of 9 inches and 10 inches, which can be found using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 9^2 + 10^2
c = sqrt(81 + 100) = sqrt(181) ≈ 13.45 in
The width is still 9 inches, so the area of each face is:
Area = 13.45 in * 9 in ≈ 121.05 in^2
Therefore, the total surface area of the prism is:
Surface Area = 2 * Area of Base + 3 * Area of Rectangular Face
Surface Area = 2 * 45 in^2 + 3 * 121.05 in^2 ≈ 549.15 in^2
Rounding to two decimal places, the surface area of the prism is approximately 549.15 in^2.
Name 4 line segments that have point C as an endpoint.
Answers
well, if you can go up down and sideways, I'd say, B, F, G, and D
HELP PLEASEEEEEEEEEEEEEE
Answers
Answer:
A) 25
B) 98
C) 36
Step-by-step explanation:
A) (7-2) = 5 to the second power which is 25.
B) 1 + 6 = 7 to the second power which is 49. 49 x 2 = 98
C) 3 to the second power is 9.
3 to the third power is 27.
9 + 27 = 36
Hope this helps!
Have an awesome day!
HELPS PLZ
guys i dont even know if this is supposed to be here but anyways i have a test tmr and I'm hella nervous right now can anyone help plz thx
Answers
Answer:
how can I help you?and what is the question?
Answer:
just stay calm and relax...being relaxed is very important for performing good in you exam. And also a good sleep is also must for your concentration on the day..
Step-by-step explanation:
PLLZZ HELP ME OUT WITH THIS!!!!ITS DUE TODAY!!!!
1. A driver’s elevation is -30 feet relative to sea level. She dives down 12 feet. What is the elevation after the dive?Show your work.
2. Explain(In your own word) how to model -5+5+(-2) on the number line. (PS DON'T DO NUMBER LINE JUST EXAPLAIN )
3. How do you subtract an integer from another integer without using a number line ? Give an example.
4.Solve following problems(Show your work for subtraction)
(-1)+(-5)= b) (-1)+(9)= c)1-(-2)=
d) 19-(-19)= e) -87-(-87) f) 0-(-5)=
Answers
Answer:
1. -42 ft; 2. -2 ; 3. 5-2=3 ; 4a. -6 ; 4b. 8; 4c. 3; 4d. 38; 4e. 174; 4f. 5
Step-by-step explanation:
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a decimal in the box.
Answers
Answer:
The constant of proportionality is 0.3, or K=0.3.
Step-by-step explanation:
The chart I attached shows points that are plotted on the proportional line. In order to find the constant of proportionality from these points, you have to divide the amount of change by the number of years. For example, 3 divided by 10 or 6 divided by 20. This results in 0.3, which means that every year, there is 0.3 centimeters of change in the sea level.
This figure has an area of____in^2
Answers
--Answer--
\(5\sqrt{2}\) or 7.0710... (7.1)
--Explanation--
If you look closely the triangle on the left could be moved to the space on the right of the shape.
Then, the edges would be 10 inches (top) and 5 inches (sides).
From there, you multiply 10 x 5 to get 50. If you want the square root, you do \(\sqrt{50}\) which is how I got 7.071067812, or 7.1, which was rounded to the nearest tenth.
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
The members of a student council held a car wash to earn money for a field trip. The equations represent how they calculated their earnings.
5c+8v=234
c=2v
If c represents the number of cars and v represents the number of vans, which pair of sentences best describe the results of the fundraiser?
Answers
Answer: They charged $5 per car, $8 per van, and earned a total of $234 they washed twice as many cars as vans.
Step-by-step explanation: hope this helps
can you help full info thank you so much its due in 12 min
Answers
Answer:
1 5/6
Explanation:
3 2/3 x 1/2 is half of 3 2/3. Therefore, if we find half of 3 2/3, we will get 1 5/6 which is the area.
Given: 9y^0
A. Simplify the expression for y=3.
B. Construct Arguments Will the value of the given expression vary depending on y? Explain
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Answer:
A. 9 x 3^0 = 9 x 1 = 9
B. the value doesnt vary depending on y as any number whose power is zero is always 1.
Because that would give the simplify expression
What is the product of the square of 3 and cube of 5?
Answers
What shape is a prism?
Spherical
Triangular
Rectangular
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Answer:
Rectangular
Step-by-step explanation:
the shape is called Rectangular prism
Answer:
triangular prism
Step-by-step explanation:
it is true we have rectangular prism but I go for the triangular prism
QUICKLY HELP PLEASE 30 POINTS
Answers
Answer:
9
Step-by-step explanation:
Answer:
324
Step-by-step explanation:
Help me please...........................
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\(4 \frac{1}{5} \div \frac{2}{3} = \\ \)
\( \frac{4 \times 5 + 1}{5} \div \frac{2}{3} = \\ \)
\( \frac{21}{5} \div \frac{2}{3} = \\ \)
\( \frac{21}{5} \times \frac{3}{2} = \\ \)
\( \frac{63}{10} = \\ \)
\(6.3\)
HELP!!! ITS A K12 QUESTION!!!!!!!!!!!
Answers
Answer:
-1 1/4 is the answer :)
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
easy math please help i'll mark brainliest
Answers
i believe these are the answers:
1. b
2. a
Answer:
Mark me brainiiest
Step-by-step explanation:
Its 1. B and 2. A
Identify when to use multiplication or when to use division to solve a conversion problem. Sort the conversions into
the correct category.
Quarts to gallons
Multiply to Convert
Divide to Convert
Weeks to days
Feet to inches
Miles to yards
Ounces to pounds
Answers
Answer:
Quarts to gallons = divide
Weeks to days = multiply
Feet to inches = multiply
Miles to yards = multiply
Ounces to pounds = divide
Step-by-step explanation:
If you are going from a smaller unit to a larger unit, you divide.
If you are going from a larger unit to a smaller unit, you multiply.
Answer:
look at pic!
Step-by-step explanation:
on edg. :)
PLEASE HELP!!!
Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to type 10 2/3 pages? Complete the rate table to solve the proportion.
pages---> 4/3=32/3
hours---> 1/4 = x
Lee can type 10 2/3 pages in _________ hours.
a. 1 3/4
b. 2
c. 2 1/4
d. 2 1/2
Answers
Answer:
First, we know that:
1 1/3 = 4/3
10 2/3 = 32/3
15 minutes = 0.25 hours
Let's imagine that x (hours) is the time it takes Lee to type 32/3 pages.
From the information, we can tell that:
Lee can type:
4/3 pages in 0.25 hours
32/4 pages in x hours
So x should be:
x = (32/4 . 0.25)/4/3 = 2 (hours)
So it takes Lee 2 hours ro type 10 2/3 pages
Step-by-step explanation:
Please Help!!!!!!!!!!!!
Answers
Answer: Total area: 258 sq ft
Step-by-step explanation:
What I did was cut the shape in two parts. I then multiplied 12 by 8 to get 96, then 18 by 9 to get 162. I added both answers & got 258.
what is the correct solution to the problem 6 x 3/8?
Answers
Answer:
9/4 or 2.25Step-by-step explanation:
what is the correct solution to the problem 6 x 3/8?
6 * 3/8 =
semplify
3 * 3/4 =
9/4 or 2.25
Explanation:
Put 6 over a one (6/1)
Now multiply 6/1 by 3/8 = 18/8 (what you do is you multiply the top, then bottom)
Now simplify:
Both have 2 in common so we would do 18 divided by 2 (9)
Then 8 divided by 2 (4)
So we get our answer 9/4
Solve for y.
−2y+7=−5
Responses
y = 6
y = 1
y = -1
y = -6
Answers
Answer: y = 6
Step-by-step explanation:
1. Subtract 7 from both sides to isolate -2y.
-2y = -12
2. Divide both sides by -2 to isolate the y.
y = 6
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9
Answers
Answer:
A 4/9
Step-by-step explanation:
last question I promise
Answers
So, the right answer is 418mm^2.
look at the attached picture
Hope it will help you
PLZZ HELP!
A right rectangular prism is packet with cubes of side length 1/3 inch. If the prism is packed with 6 cubes along the length, 4 cubes along the width and 8 cubes along the Hight what is the volume of the prism
Answers
Daniel has 15 yards of fabric to make baby blankets. It takes 1 and 1/2 yards of fabric to make each blanket, and the expression that models the situation is 15 minus three-halves y. Which of the following are possible numbers of blankets that Daniel could make? Select all that apply.
9
10
11
12
15
i have a school computer and it keeps blocking the answers when i try to get them so im asking more questions :)
Answers
Answer: 9 and 10
Step-by-step explanation:
15 - 3/2y
how many times can 3/2 go into 15?
10 times. The most blankets he can make is 10, so any number less than 10 and greater than zero would be a correct solution
Answer:
9,10
Step-by-step explanation: