Find the equation of a line perpendicular to y=−23x+7 that passes through the point (-6, 11)
A. y=−2/3x+7
B. y=2/3x+15
C. y=−3/2x+2
D. y=3/2x+20
E. y=3/2x+2
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.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
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?
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:
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
80% of the 55 coffee mugs at Kari's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?
Answer:
44
Step-by-step explanation:
80% of 55=44
Please help with this question
A laboratory technician can clean 34 pipettes every hour with an automatic washer. How many can he clean in 12 minutes? (Hint: Both time periods must be in the same unit of measurement)
Answer:
7
Step-by-step explanation:
you can do a ratio where you have 34 over 60 then cross multiply that ratio with x over 12 and 60x=408 and it equals 6.8 but I am assuming you have to round up.
Answer: 6.8
Step-by-step explanation:
34 in 60 minutes
In 12 minutes = ( 12/60) * 34
i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
look at the example problem. How would the partial products and the sum of the partial products change if there were 6 packages instead of 60? Explain. Answer this i have school tomorrow. stop letting me suffer answer please.
Answer:
They change by 10.
Step-by-step explanation:
I cannot explain
PLSSSSS ANSWER QUICKLY PLSSSS!!!!!
ANSWER
its the second one
LOG \(( x^{2} -2X(X-1)\\X-1^{2}\)
Step-by-step explanation:
Pls help me in math, I need this tomorrow, thx :)
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
which expression is equivalent to 4x + 2y + x - y after combining like terms?
Hey there!
4x + 2y + x - y
= 4x + 2y + 1x - 1y
COMBINE the LIKE TERMS
= (4x - 1x) + (2y - 1y )
= 4x - 1x + 2y - 1y
= 3x + 1y
= 3x + y
Therefore, your answer is: 3x + y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Every time Carrie bakes a batch of brownies, she uses 1/8 cup of chocolate. If she has 1/2 cup(s) of chocolate remaining, how many batches of brownies can Carrie make? Input your answer as a whole number.
1/8 + 1/8 +1/8 +1/8 is the same as 1/2. Each 1/8 represents 1 batch. (1/8*4=4/8 which is equivalent to 1/2)
Step-by-step explanation:
B=1/4k(c+d) for c
please answer in detail, I am bewildered and have a test tomorrow. I am likely to fail, but might as well try haha
In the picture, ∆TNM~∆KYM.
What is the length of side NM?
Answer:
missing length: 3
solving similarities:
\(\sf \frac{YK}{YM} = \frac{TN}{NM}\)
\(\sf \frac{2}{1} = \frac{6}{?}\)
\(\sf ? = \frac{6*1}{2}\)
\(\sf ? = \frac{6}{2}\)
\(\sf ? = 3\)
NM be x
\(\\ \rm\hookrightarrow \dfrac{x}{6}=1/2\)
\(\\ \rm\hookrightarrow 2x=6\)
\(\\ \rm\hookrightarrow x=6/2\)
\(\\ \rm\hookrightarrow x=3\)
ax+by = c solve for y
Answer:
\(y=\frac{c-ax}{b}\) is the answer
Step-by-step explanation:
ax+by=c
subtracting ax on both sides
ax-ax+by=c-ax
by=c-ax
dividing b on both sides
by/b=\(\frac{c-ax}{b}\)
\(y=\frac{c-ax}{b}\)
hope it will help ^_^
Answer:
y= (c-ax)/b
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
someone please answer this for me before 2:20!! ty ^^
Which equation applies the associative property of multiplication?
Answer:
a c d
Step-by-step explanation:
PLZ HELP im lost in this question (30) points
Answer:
The cost of the avocadoes is dependent because it relies on the number of avocados. The number of avocados is independent because it can stand alone. So the costs are dependent and the numbers (1, 2, 3, 4, 5) are independent. c= 1.25a is neither dependent or independent but is put in there because it can be an equation used to solve how much the cost is for a number of avocados.
Step-by-step explanation:
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
Help please I'm so confused
Answer:
B. or -16
Step-by-step explanation:
First, find what |-3-(-1)| is equal to.
|-3-(-1)|
= |-3+1|
= |-2|
= 2
|-3-(-1)|=2
Now we find x (I find it easier to substitute the question mark with a variable)
x÷-8=2
Lets go through our values, or answer choices:
-32/-8 = 4
This cannot be the answer
-16/-8=2
This is the correct answer.
So...
-16÷-8=|-3-(-1)|
They are equal because both sides equal 2.
Hope this was helpful and made it a bit easier to understand.
In September, the demand for pizza on the boardwalk reduces, therefore Manco and Manco reduced their prices from $4 to $3.75 per slice. Describe this change as a percentage.
A-1.07% decrease
B-93.75% decrease
C-6.25% decrease
D-67% decrease
Answer:C
Step-by-step explanation:
400 / 6.25 = 25
The difference between fifteen and the product of two times the quotient of 20 and 5.
Answer:
15 - 2(20 ÷ 5)
Step-by-step explanation:
Which of the following points could you remove so that the resulting graph is the graph of a function?
A. (-2, -3)
B. (-1, -5)
C. (0, 5)
D. (1, -3)
Answer: b
Step-by-step explanation:
How many centimeters are in 35 inches? (1 in. = 2.54 cm)
Answer:
88.9
Step-by-step explanation:
Answer:
88.9 cm
Step-by-step explanation:
Please help I am struggling with math
Answer:
question 21 is x= 30
Step-by-step explanation:
when you multiply 7 by 5 you get 35 which is on the bottom side. So, to get x you multipy 6 and 5 and that equals 30.
Answer:
1) its 30 because when you divide 35by 7 you get 5 and you then multiply 6x5=30
2) I really don't know this one, but my guess is 8 because when you look at the 45 and 18 its 27 difference and we then do the same for the 35-27=8
Which statement describes the relationships between x and y in these two equations?
y = 3x
y = x + 3
In y = 3x, the value of y is 3 times the value of x, and in y = x + 3, the value of y is 3 more than the value of x.
In y = 3x, the value of y is 3 more than the value of x, and in y = x + 3, the value of y is 3 times the value of x.
In y = 3x and y = x + 3, the value of y is 3 more than the value of x.
In y = 3x and y = x + 3, the value of y is 3 times more than the value of x.
Answer:
A
Step-by-step explanation:
Select all shapes below that are nets of a pentagonal-based pyramid.
Answer:
A and B
Step-by-step explanation:
I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3
Which relationships describe angles 1 and 2?
Select EACH correct answer.
supplementary angles
adjacent angles
vertical angles
complementary angles
Two lines intersecting creating four angles with the left angle labeled one and the angle to the right labeled two
Answer:
simp and ajisan
Step-by-step explanation:
test i did
Help Me Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
im not sure but im going with 518.40 and you save 57.60
Step-by-step explanation:
Answer:633.3?
Step-by-step explanation: