Answer:
The correct answer is -4
Step-by-step explanation:
First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4
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.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Write an exponential decay function to model each situation. Compare the average rates of change over the given intervals.
21. Initial value: 50
Decay factor: 0.9
1 ≤ x ≤ 4 and
5 ≤ x ≤ 8
The model of the exponential functions is written as
21:
f(x) = 50(0.9)ˣ
average rate of change
1 ≤ x ≤ 4 is -45 ≤ x ≤ 8 is -2.722:
f(x) = 25(0.8)ˣ
average rate of change
2 ≤ x ≤ 4 is -2.96 ≤ x ≤ 8 is -1.2How to write the exponential function to model the dataConsidering the given problem, f(x) = a(b)^x
the initial value = a
the base = b
the exponents = x
21.
Initial value: 50
Decay factor: 0.9
1 ≤ x ≤ 4 and
5 ≤ x ≤ 8
x = 1
f(x) = 50(0.9)^1
f(x) = 45
x = 4
f(x) = 50(0.9)^1
f(x) = 32.805
average rate of change for x = 1 and x = 4
average rate of change = (32.805 - 45) / (4 - 1)
average rate of change = -4.065
average rate of change for x = 5 and x = 8
average rate of change = (50(0.9)^5 - 50(0.9)^8) / (5 - 8)
average rate of change = 8.0011 / -3
average rate of change = -2.667
22.
Initial value: 25
Decay factor: 0.8
2 ≤ x ≤ 4 and
6 ≤ x ≤ 8
f(x) = 25(0.8)^x
average rate of change for x = 2 and x = 4
average rate of change = (25(0.8)^2 - 25(0.8)^4) / (2 - 4)
average rate of change = 5.76 / -2
average rate of change = -2.88
average rate of change for x = 6 and x = 8
average rate of change = (25(0.8)^6 - 25(0.8)^8) / (6 - 8)
average rate of change = 2.3593 / -2
average rate of change = -1.1797
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Can someone help me and tell me what this is I dont get it
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
Identify the g the equation: 18g - 1 = 40
Answer:
g= 41/18
Step-by-step explanation:
I hope this helped
Answer:
18g=40+1
18g/18=41/18
g=41/18 or 2.28
Step-by-step explanation:
1.transpose (-1) to the other side and ad it to 40
2.divide 18g and 41 to leave g alone and your answer is 41/18
What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?
Answer:
128
Step-by-step explanation:
A=2(wl+hl+hw)=2·(4·4+6·4+6·4)= 128
PLEASE ASAP Find the value of x
Answer: this is in a fraction: X = 16/5, decimal form: x = 3.2, and in a mix number: x = 3 1/5
Step-by-step explanation:
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
The rectangular floor of a classroom is 20 feet in length and 36 feet in width. A scale
drawing of the floor has a length of 10 inches. What is the perimeter, in inches, of the
floor in the scale drawing?
Answer:
56
Step-by-step explanation:
20 feet =10 inchs
10 feet is 5 inches
5 feet is 2.5 inches
1 feet is 0.5 inch
10+5+2.5+0.5= 18 inches
10+10+18+18=56
How can this question be solved? Please help me.
Answer: 8/35 square yards
Step-by-step explanation:
The formula to find an area of a rectangle is L * W (length * width). Here your length would be 4/7 yards, and your width would be 2/5 yards, so plugging it into the formula would be 4/7 * 2/5 = 8/35 square yards.
PLSS HELP ME THIS
find the value of X
100 - x = 38
Answer:
62.
Step-by-step explanation:
I take 100 minus 38 and I get 62. X = 62
So X = 62 because 100 minus 37 equals 62
A student five and a half feet tall stands opposite of a mirror from a flagpole. The distance between the student and the mirror is 6 feet and the distance from the mirror to the flagpole is 14 feet. What is the height of the flagpole?
Answer:
4√10 = 12.649110640674 ft
Step-by-step explanation:
Given b=6 and c=14,
a^2 + b^2=c^2
a^2 + 6^2 = 14 ^2
a^2 + 36 = 196
a^2 = 160
a= √160
a = 4√10
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
(Question) Write to Explain; Shauna evaluated the expression 9 - 6 + (12/3) *2 and got the answer 4 is she correct? Why or why not?
And if this helps I'll add the screenshot I took of it.
Why is she not correct or Why is she correct.
the answer is, no.. she is not correct.
she solved the equation/question incorrectly.
why? Shauna subtracted 9 - 12/3 = 5
she multiplied 5 and 2 = 10
then subtracted by 6.
so she got 4.
but, this how you do it.
subtract 9 and 6, equaling 3.
12/3 x 2= 8
add 8 and 3, which equals 11.
the correct answer is 11!
1. Can someone help me with math
Answer:
I am pretty sure it is 1.
Step-by-step explanation:
I am doing addition and subtraction methods.
Please help very urgent!!! 35 pts.
What is the probability that Robert can get a tail using 1 coin and pick a yellow card from 1 deck and roll an E on 1 cube?
Answer:The probability of getting a red card is 1/2. When tossing two coins, the probability of getting one or two tails is 3/4. The probability of both of these
Step-by-step explanation:
this might be wrong im sorry if it is but it might be right here you go
Gloria’s car payment increased from $240 per month to $275 per month. What was the percent increase? (Round Percentage to the nearest tenth)
If you're answering can you explain how u got ur answer please
A theater company has raised $810.75 by selling 15 floor seat tickets. Each ticket costs the same.
Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)
Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)
Part A: 15x= $810.75. Part B: x= $54.05
The total money earned from 15 tickets is $810.75.
Assume, the money earned from selling 1 ticket is $x.
Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75
Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.
Using the equation above,
15x= $810.75.
Dividing both sides by 15,
We get,
x= $54.05
Hence, $54.05 is the price of each ticket.
To learn more about linear equations with single variable:
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Rosena bought an 8 pack of donuts to share with her friend at school. The donuts cost $28.00 all together. What is the unit rate for the donuts in $/donuts?
Answer:
$3.50/donut
Step-by-step explanation:
Since Rosena bought an 8-pack of donuts for $28.00, we can say that the price of $28.00 corresponds with this pack.
The unit rate represents the price per donut, assuming a constant proportion.
The pack that Rosena bought contains 8 donuts. Therefore, to find the price of one donut, divide the price that corresponds with the 8-donut pack by 8, because \(8\div 8=1\).
The price of the 8-pack of donuts was \(\$28.00\). Diving by 8, we have:
\(\frac{\$28.00}{8}=\boxed{\$3.50}\)
Therefore, the unit rate for the donuts is $3.50/donut.
Answer:
$3.5
28/8 = 3.5
WILL CHOOSE BRAINLIEST!!! The oxford square is approximately 300 feet on each side. What is the length of the diagonal square?
Answer:
424 ft and 3 inches
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2 --> d = a√2
a² + a² = diagonal²
diagonal = √(a² + a²) = √(2 x a²) which simplifies to diagonal = a√2
If area is given --> d = √(2*area)
Knowing square perimeter --> d = (perimeter/4)*√2
What part of the seventh- and eighth-grade students walk to school?
HELP me please, ASAP
Someone help me!!! Please, i only have a few minutes :(
Answer:
true, false
Step-by-step explanation:
Helppppp[please if anyone could?]
Answer: g>12(the first one)
Step-by-step explanation:
The reason it is g>12 because It said Sean has already written 12 and he needs to write more. So g has to be greater than 12. You would graph it like you would click on 12, and click on 12 again to make it a open circle and then you would press the arrow on the right.
Hope this helps:)
Give your answer in minutes.
Answer:
31 minutes
Step-by-step explanation:
identify the errors
(Select all that apply.)
Calculation errors when distributing -1
Calculation errors when distributing h2
Calculation errors when distributing 9h
Calculation errors when combining h2 terms
Calculation errors when combining h terms
Answer:
1 and 3
Step-by-step explanation:
Answer:
i think i and 3 prolly :0
Step-by-step explanation:
NEED ASAP
Molly needs to get 117 hours of community service for one of the clubs she joined at school and has 18 weeks to complete the community service hours. She usually tries to get 5 hours of community service each week. Molly wrote the equation 117 = 18(x + 5) to represent her situation.
Part 1
Which sentence describes what the variable x represents?
A.
Molly needs x more weeks to complete her community service hours.
B.
Molly needs to work x more hours to meet her goal of 117 total hours.
C.
Molly needs to work x more hours each week to meet her goal of 117 total hours.
D.
Molly will have x extra hours of community service after the 18 weeks is over.
Part 2
Solve Molly's equation for x. (Use only the digits 0 - 9 and the decimal point, if needed, to enter the value.)
Answer:
x=4.83
C. Molly need to work X more hours each week to meet her goal of 116 total hours
5y/1 / 1/3 = y−0.9/0.2 Please solve this to find y!
The answer is y= -1.63:
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:
Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.
Answer:
BC = 3 units
Step-by-step explanation:
Given points:
A = (2, -2)B = (-4, -4)C = (-4, -1)D = (-2, 3)E = (1, 3)F = (2, 5)Plot the points on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).
From visual inspection of the drawn polygon, we can see that the length of BC is 3 units.
It is fairly simple to calculate the length of BC without plotting the points.
As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.
⇒ distance = |-4 - (-1)| = |-3| = 3 units
Distance
√(x_2-x_1)^2+(y_2-y_1)^2√(-4+4)^2+(-1+4)^2√3²3 unitsGraph is attached
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
PLS HELP!! there is a pic attached
Step-by-step explanation:
First
SQUARE ROOT 4
THEN SECOND
3.25
THEN THIRD
SQUARE ROOT 20
THEN LAST
1.5
Answer:
\(\frac{3}{2}\) \(\sqrt{4}\) 3.25 \(\sqrt{20}\) 5Step-by-step explanation:
\(\frac{3}{2}\) = 3 ÷ 2 = 1.5 \(\sqrt{4}\) = \(\sqrt{2^{2} }\) = 2. 3.254. \(\sqrt{20} = \sqrt{2^{2} * 5 } = \sqrt{2^{2} } * \sqrt{5} = 2\sqrt{5} = 4.47\)
5. 5