Answer:
60
Step-by-step explanation:
(heart disease + cancer)÷ total
Describe the solution set for the system of equations that includes the equation of the line shown and each equation below.
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.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Two students determined the value of this equation as shown below.
2x – (3x + 5) + 2 = 5x – 14
[picture below]
Describe any errors made when solving the equation by Student A.
Describe any errors made when solving the equation by Student B.
Show a complete set of correct steps to determine the solution to the equation.
Please helpp!! Ty ty!♡♡
Answer:
25
Step-by-step explanation:
4a +12 -2c + c
4( ) + 12 - 2( ) + ( )
4(4) + 12 - 2(3) + 3
16 + 12 - 6 + 3
28 - 6 + 3
22 + 3
25
Helping in the name of Jesus.
Therefore, 4a + 12 - 2c + c = 25
Step-by-step explanation:a = 4
c = 3
Swap letters for numbers:4a + 12 - 2c + c
(4)(4) + 12 - (2)(3) + 3
16 + 12 - (2)(3) + 3
28 - (2)(3) + 3
28 - 6 + 3
22 + 3 = 25
Draw a conclusion:
Hence your answer is:4a + 12 - 2c + c = 25
I hope this helps!
∠1 and ∠2 are supplementary.
m∠1=124°
m∠2=(2x+4)°
What is the value of x?
Options:
13
26
40
36
41
Answer:26
Step-by-step explanation:Since angles 1 and 2 are supplementary, it follows that there sum is 180°.
On this note;
Sum of 1 and 2 is;
180 = 124 + (2x + 4)°
(2x + 4)° = 180 -124
2x = 56 -4
2x = 52
x = 26°.
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Help pls. Also wdym this is to short yk why so long >:/
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
help pls and thank you
Use the best-fit line below to predict the value of y when x = 7
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
PLEASE ANSWER ASAP
A study was conducted comparing the speeds of 2 different fish, Fish A and Fish B. The table shows the distance, in meters, Fish A travels in seconds. Scientists
concluded that Fish B travels 3 meters every 2 seconds.
Assuming both fish swim at a constant rate, which fish swims faster and by how many meters per second?
Question Evaluate 8x−y²−3 when x=−1/4 and y=3
Answer: -14
Step-by-step explanation:
Plug in the x and y value. 8(-1/4)-3^2-3
-2-9-3=-14
Answer:
-14
Step-by-step explanation:
Please help me with number 9
well, it was truly 12.5 mL, however she said 13 mL, well, she was off by 13 - 12.5 = 0.5 mL.
Now, if we take 12.5(origin amount) to be the 100%, what is 0.5 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 12.5 & 100\\ 0.5& x \end{array} \implies \cfrac{12.5}{0.5}~~=~~\cfrac{100}{x} \implies 12.5x=50 \\\\\\ x=\cfrac{50}{12.5}\implies x=\stackrel{\%}{4}\)
x-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
Hey! YOU! STOOOP! HELP ME ITS EASY BUT IM FOOLISH!
What is the difference between factors of a number and multiples of a number?
Use the number 25 as an example.
Answer:
Factors are like numbers that are multiplied together to get that number
Using 25:
The factors of 25 are 1,5,25
1*25 = 25 and 5*5 = 25, so they are the factors of 25
Multiples are the products of the specified number and another number
Using 25:
Some of the multiples of 25 are 25, 50, 75, 100 and so on
25*1 = 25, 25*2 = 50, 25*3 = 75, 25*4 = 100, so they are the multiples of 25
Hope this helps!
What is the total surface area of the triangular prism shown?
Answer: 468 in² B
Step-by-step explanation:
If you flipped the prism so that the triangle part was on the bottom you
SA= LA +2B
where
LA = lateral area = Ph
P(perimeter) = 15+9+12 = 36
h(height) = 10
LA = 36*10 =360
B= 1/2 bh b=9 h=12 I flipped the triangle so 9 would be base
B=1/2(9)(12)
B=54
SA = 360+2(54)
= 468 in²
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
Alliance Cannery received an order for 384 cans of food. The order can be made up of a combination of cans of fruit, which are processed at a rate of 24 cans per minute, and cans of vegetables, which are processed at a rate of 64 cans per minute.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Which of the linear equations expresses the situation?
3x + 8y = 384
24x + 64y = 384
64x + 24y = 384
24x + 64y + 384 = 0
Answer:
The correct answer is B
(dont pick C just because someone said its better)
Step-by-step explanation:
Answer:
Im pretty sure its 24x + 64y = 384 Aka B
Step-by-step explanation:
b. Shane found a wallet filled with
money and credit cards in the
parking lot outside a large depart-
ment store. Shane turned in the
wallet to the store manager, and
was given a reward by the owner.
The reward was of the money in
the wallet, which was $80. How
much money did Shane receive?
Answer:
$80
Step-by-step explanation:
please help me answer this question below
Answer:
hey
Step-by-step explanation:
What fraction of 8 is 2 1 /2 ?
Select all that apply.
Practice
A
2 1/ 2 ÷ 8
B
5 /2 × 1/ 8
C
8 ÷ 2 1 /2
D
? × 8 = 2 1/ 2
Could someone please help me?
Answer:
(a) The system of equations that could be used to find the length (in hours) of each type of workout is:
- Equation 1: 3x + 5y = Total hours on Friday
- Equation 2: 5x + 7y = Total hours on Saturday
where x is the length (in hours) of each Plan A workout and y is the length (in hours) of each Plan B workout.
(b) To find the length of each type of workout, we need to know the total hours that Susan trained on Friday and Saturday. Once we have that information, we can solve the system of equations using either the substitution or elimination method.
(c) To find the length of each type of workout, we can either solve the system of equations ourselves or use a calculator or online tool (like Wolfram Alpha) to solve it for us. Once we have the solution, we can plug it back in to the equations to make sure it works.
For example, if the total hours on Friday were 12 and the total hours on Saturday were 18, the solution would be:
- x (Plan A) = 2 hours
- y (Plan B) = 4 hours
And plugging it
Step-by-step explanation:
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
Infinitely many solutions exist because the two situations describe the same line.
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Small number = S
Number = N
N = 2S + 3
N = 2(S+1)
N = N
2S + 3 = 2(S + 1)
2S + 3 = 2S + 2
-2S -2S
3 = 2
No solutions
Therefore...
"No solutions exist because the situation describes two lines that have the same slope and different y-intercepts." is correct
simplify the expression (-h^4)^5
when a number is to a power then to another power, the answer is the number to the power TIMES the other power
it should be:
-h^20.
On a map Rossville and Smithtown are 5 1/2 inches apart. If the actual distance between the town is 16 1/2 miles, to what unit rate is the map drawn?
A. 1 inch = 2 1/2 miles
B. 1 inch = 3 miles
C. 1 inch = 3 1/3 miles
D. 1 inch = 11 miles
Answer:
c
Step-by-step explanation:
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answer:
no bro, sorry. even though I needed to I don't have it
30 POINTS! ANSWER THE QUESTION SHOWN IN THE IMAGE WITH CLEAR ANSWER
yea..... can sum1 help me pls
HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify which equations have one solution, infinitely many solutions, or no solution.
Answer:
I think it is
A:One solution
B:Infinitely many solutions
C:One solution
D:Infinitely many solutions
E:One solution
F:One solution
Step-by-step explanation:
I did most of my calculations are on paper
Mrs. Dawson rode her bicycle at a constant rate of 15 miles per hour. Which graph below shows the distance Mrs. Dawson traveled?
Answer:
2nd Graph or B
Step-by-step explanation: