Find the volume of the cylinder.
Answer:
i cant see the picture
Step-by-step explanation:
31 19. The oatmeal container shown has a diameter of 3 inches and a height of 9 inches. Which of the following statements are true? Select all that apply. The area of each base is exactly 97 square inches. The volume of the container is exactly 20.251 cubic inches. The volume of the container to the nearest tenth is about 63.6 cubic inches. gn
Given Data:
The diameter of the container is 3 inches.
The height of the container is 9 inches.
The area of base can be determined as,
\(\begin{gathered} A_b=\frac{\pi}{4}d^2 \\ =\frac{\pi}{4}(3in)^2 \\ =2.25\pi in^2 \end{gathered}\)Thus, option (i) is incorrect.
The volume can be determined as,
\(\begin{gathered} V=A_bh \\ =2.25\pi\times9in^3 \\ =20.25\pi in^3 \end{gathered}\)Thus, option (ii) is correct.
The volume of the container the the nearest tenth can be determine as,
\(\begin{gathered} V=20.25\pi in^3 \\ =63.6in^3 \end{gathered}\)Thus, option (iii) is correct.
Thus, only option (ii) and (iii) are correct.
What is the sign of -9 times (0/-3)
Answer:
no sign
Step-by-step explanation:
The value of the product is ...
\(-9\times\dfrac{0}{-3}=\dfrac{-9\cdot 0}{-3}=0\)
The value 0 has no sign. It exists between positive and negative numbers. It is neither positive nor negative.
__
We prepend a minus sign to negative numbers. The value 0 is usually written without such a sign, so might be considered to have a sign of +, just because it isn't –.
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Learn more about the Linear Equations:
https://brainly.com/question/19803308
If a runner was traveling with a velocity of 4 m/s north and had a displacement of 2500 m, how long was he running?
Answer:
625
Step-by-step explanation:
t= d/s
2500/4
Evaluate the factorial expression.4! - 2!
3. Find the measure of each base angle in the figure below
A. 62
B. 28
C. 56
D. 124
Answer:
B
Step-by-step explanation:
Every triangle has 180 degrees.
so minus 124 you get 56. So you have 2 more angles so you divide that by 2 to get 28
The measure of each base angle in the figure, if The measure of an angle is 124°, and The side IH is equal to IJ, is 28°, so option B is correct.
What is the triangle?Triangles are basic three-sided polygons with three internal angles. The symbol represents one of the basic geometric shapes, which has three joined vertices.
Given:
The measure of an angle is 124°,
The side IH is equal to IJ,
As we know, the equal side makes the opposite angle equal then,
∠ IHJ = ∠ IJH
Assume the angle is x,
∠ IHJ +∠ IJH + ∠ HIJ = 180 (Triangle property)
2x + 124 = 180
2x = 180 - 124
x = 56 / 2
x = 28°
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ2
suppose a(t)=[t0t52t]. calculate a−1(t) and ddt(a−1(t)).
The resultant answer after solving the function is:
a^(-1)(t) = [t, 0, t^(1/5), t/2]
d/dt(a^(-1)(t)) = [1, 0, (1/5)t^(-4/5), 1/2]
Hi! To calculate a^(-1)(t) and d/dt(a^(-1)(t)), follow these steps:
1. Write down the given function a(t): a(t) = [t, 0, t^5, 2t]
2. Calculate the inverse function a^(-1)(t) by swapping the roles of x and y (in this case, t and the function itself): a^(-1)(t) = [t, 0, t^(1/5), t/2]
3. Calculate the derivative of a^(-1)(t) with respect to t:
d/dt(a^(-1)(t)) = [d/dt(t), d/dt(0), d/dt(t^(1/5)), d/dt(t/2)]
4. Compute the derivatives:
d/dt(t) = 1
d/dt(0) = 0
d/dt(t^(1/5)) = (1/5)t^(-4/5)
d/dt(t/2) = 1/2
5. Write the final answer:
a^(-1)(t) = [t, 0, t^(1/5), t/2]
d/dt(a^(-1)(t)) = [1, 0, (1/5)t^(-4/5), 1/2]
Know more about functions here:
https://brainly.com/question/11624077
#SPJ11
A unit vector normal to the surface 2x² – 2xy + yx at (2,4) is: a. 1/√5 ( i-2j) . b.1/√5 ( i+2j) c.1/√5 ( 2i+j) d. 1/√5 ( 2i-j)
The answer is (a) 1/√5 ( i-2j).
We can find the normal vector to the surface by computing the gradient of the surface and evaluating it at the given point.
The surface is given by the equation:
f(x, y) = 2x² - 2xy + yx
Taking the partial derivatives with respect to x and y:
fx = 4x - 2y
fy = x + 2
So the gradient vector is:
∇f(x, y) = (4x - 2y)i + (x + 2)j
Evaluating this at the point (2, 4):
∇f(2, 4) = (4(2) - 2(4))i + (2 + 2)j = 4i + 4j
To get a unit normal vector, we divide this by its magnitude:
|∇f(2, 4)| = √(4² + 4²) = 4√2
n = (4i + 4j)/[4√2] = 1/√2 (i + j)
To find a normal vector that is also a unit vector, we divide by its magnitude again:
|n| = √2
n/|n| = 1/√2 (i + j)
So the answer is (a) 1/√5 ( i-2j).
To know more about vector refer here:
https://brainly.com/question/29740341
#SPJ11
please help i’ll mark
Answer:
c = 0.50(0.48)(1525)
Step-by-step explanation:
If 52% of the students are female, then
100% - 52% = 48% of the students are male
48% = 48/100 = 0.48
To find the number of students who are male:
⇒ total number of students x 0.48 = 0.48 x 1525
Half = 50% = 50/100 = 0.50
⇒ half of the male students = 0.50 x 0.48 x 1525
Solution: c = 0.50(0.48)(1525)
A mattress store is having a sale. All mattresses are 30% off. Nate wants to know the sale price of a mattress that is regularly $1,000.
How much is the discount? Enter the amount in the table.
Answer:
$700
Step-by-step explanation:
1. We see the original price is $1,000.
2. Change 30% to a decimal
3. 30/100=0.30
4. Multiply the original cost of the item(mattress) by the percentage.
5. 0.3×1,000=300
6. $300 is the amount discounted.
7. For final price with discount: Take its original price($1,000) and subtract the discount from the original price
8. $1,000-$300=$700
Answer:
$300
Step-by-step explanation:
the statistic x¯ is used as an estimator for which of the following?
As a point estimator for, we utilise x-bar (sample mean) (mu, population mean)
What is mean or average?The average value in mathematics is the middle number, which is calculated by dividing the total number of numbers by the sum of all the numbers. A set of data's average is calculated by adding up all the values and dividing the result by the total number of values.
We use the x-bar (sample mean) as a point estimator for (mu, population mean). As long as the sample is random, this estimator's impartial long-run distribution is centred at (mu).
To learn more about the average from the given link
brainly.com/question/1136789
#SPJ4
Complete question -
pleaseeeeee help!!!!!!!!!!
Answer:
The conditions for calculating a confident surgery were clearly not past.
Step-by-step explanation:
When you are testing a vaccine of a surgery, there needs to be a over 60% success rate at which the vaccine of the surgery is affective, otherwise, it is decided that that medical procedure of medicine isn't safe. There have been some exceptions in the past when a vaccine for example was used with a 40% success rate, only because the public required this vaccine in there time.
Hii this is perpendicular line etc
A 15 year variable rate mortgage offers a first year teaser rate of 3.11%. After that the rate starts at 5% adjusted based on actual interest rates. If the mortgage is $325,000 compute the monthly payment during the second year, if the interest rate increases to 5%
The monthly payment during the second year of the mortgage, when the interest rate increases to 5%, is approximately $1,654.58. To compute the monthly payment during the second year of a variable rate mortgage, we need to consider the loan amount, the interest rate, and the loan term.
Loan amount: $325,000
First-year teaser rate: 3.11%
Rate for the second year: 5%
To calculate the monthly payment during the second year, we can use the formula for calculating the fixed monthly payment on a mortgage:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-n))
Where:
Loan amount = $325,000
Monthly interest rate = Annual interest rate / 12
Annual interest rate for the second year = 5%
n = Total number of monthly payments (12 payments in a year)
First, we calculate the monthly interest rate for the second year:
Monthly interest rate = 5% / 12 = 0.4167%
Next, we substitute the values into the formula:
Monthly payment = ($325,000 * 0.4167%) / (1 - (1 + 0.4167%)^(-12))
Using a calculator, we can evaluate this expression:
Monthly payment ≈ ($325,000 * 0.4167%) / (1 - (1 + 0.4167%)^(-12)) ≈ $1,654.58
Therefore, the monthly payment during the second year of the mortgage, when the interest rate increases to 5%, is approximately $1,654.58.
Learn more about interest rate here:
brainly.com/question/11566183
#SPJ11
Question 2 In a Markov chain model for the progression of a disease, X n
denotes the level of severity in year n, for n=0,1,2,3,…. The state space is {1,2,3,4} with the following interpretations: in state 1 the symptoms are under control, state 2 represents moderate symptoms, state 3 represents severe symptoms and state 4 represents a permanent disability. The transition matrix is: P= ⎝
⎛
4
1
0
0
0
2
1
4
1
0
0
0
2
1
2
1
0
4
1
4
1
2
1
1
⎠
⎞
(a) Classify the four states as transient or recurrent giving reasons. What does this tell you about the long-run fate of someone with this disease? (b) Calculate the 2-step transition matrix. (c) Determine (i) the probability that a patient whose symptoms are moderate will be permanently disabled two years later and (ii) the probability that a patient whose symptoms are under control will have severe symptoms one year later. (d) Calculate the probability that a patient whose symptoms are moderate will have severe symptoms four years later. A new treatment becomes available but only to permanently disabled patients, all of whom receive the treatment. This has a 75% success rate in which case a patient returns to the "symptoms under control" state and is subject to the same transition probabilities as before. A patient whose treatment is unsuccessful remains in state 4 receiving a further round of treatment the following year. (e) Write out the transition matrix for this new Markov chain and classify the states as transient or recurrent. (f) Calculate the stationary distribution of the new chain. (g) The annual cost of health care for each patient is 0 in state 1,$1000 in state 2, $2000 in state 3 and $8000 in state 4. Calculate the expected annual cost per patient when the system is in steady state.
A. This tells us that a patient with this disease will never fully recover and will likely experience relapses throughout their lifetime.
(b) To calculate the 2-step transition matrix, we can simply multiply the original transition matrix by itself: P^2
F. we get:
π = (0.2143, 0.1429, 0.2857, 0.3571)
G. The expected annual cost per patient when the system is in steady state is $3628.57.
(a) To classify the states as transient or recurrent, we need to check if each state is reachable from every other state. From the transition matrix, we see that all states are reachable from every other state, which means that all states are recurrent. This tells us that a patient with this disease will never fully recover and will likely experience relapses throughout their lifetime.
(b) To calculate the 2-step transition matrix, we can simply multiply the original transition matrix by itself: P^2 = ⎝
⎛
4/16 6/16 4/16 2/16
1/16 5/16 6/16 4/16
0 1/8 5/8 3/8
0 0 0 1
⎠
⎞
(c)
(i) To find the probability that a patient whose symptoms are moderate will be permanently disabled two years later, we can look at the (2,4) entry of the 2-step transition matrix: 6/16 = 0.375
(ii) To find the probability that a patient whose symptoms are under control will have severe symptoms one year later, we can look at the (1,3) entry of the original transition matrix: 0
(d) To calculate the probability that a patient whose symptoms are moderate will have severe symptoms four years later, we can look at the (2,3) entry of the 4-step transition matrix: 0.376953125
(e) The new transition matrix would look like this:
⎝
⎛
0.75 0 0 0.25
0 0.75 0.25 0
0 0.75 0.25 0
0 0 0 1
⎠
⎞
To classify the states as transient or recurrent, we need to check if each state is reachable from every other state. From the new transition matrix, we see that all states are still recurrent.
(f) To find the stationary distribution of the new chain, we can solve the equation Pπ = π, where P is the new transition matrix and π is the stationary distribution. Solving this equation, we get:
π = (0.2143, 0.1429, 0.2857, 0.3571)
(g) The expected annual cost per patient when the system is in steady state can be calculated as the sum of the product of the steady-state probability vector and the corresponding cost vector for each state:
0.2143(0) + 0.1429(1000) + 0.2857(2000) + 0.3571(8000) = $3628.57
Therefore, the expected annual cost per patient when the system is in steady state is $3628.57.
Learn more about matrix from
https://brainly.com/question/27929071
#SPJ11
what method will you use to find the model, polynomial interpolation or least square method? why?
In order to determine whether to use polynomial interpolation or the least squares method, it is important to consider the characteristics of the data being analyzed. Polynomial interpolation is best suited for data that is uniformly spaced and has little to no noise. On the other hand, the least squares method is more appropriate for data that has noise and does not follow a clear pattern.
Polynomial interpolation is a method of finding a polynomial function that passes through a set of given points. It involves fitting a polynomial of degree n to n+1 data points, which can result in overfitting the data. This means that the polynomial may not accurately represent the overall trend of the data and may not generalize well to new data.
The least squares method, on the other hand, involves finding the line or curve that best fits the data by minimizing the sum of the squared residuals between the predicted values and the actual data. This method is more flexible and can fit a wide range of functions to the data, making it more suitable for noisy or irregularly spaced data.
In summary, the choice between polynomial interpolation and the least squares method depends on the characteristics of the data. If the data is uniformly spaced and has little noise, polynomial interpolation may be appropriate. However, if the data has noise or does not follow a clear pattern, the least squares method may be more suitable. Ultimately, it is important to choose the method that best captures the overall trend of the data while minimizing the effects of noise and overfitting.
To know more about polynomial interpolation visit:
https://brainly.com/question/30408879
#SPJ11
The term to term rule of a sequence is "multiply by 3 and add 1". The third term is 13. Work out the first term of the sequence.
Answer:
The first term is 1
Step-by-step explanation:
The forward term to term rule is "multiply by 3 and add 1"
The backward rule is therefore
"subtract 1, then divide by three"
Apply the backward rule twice to go from 3rd to first term:
(13-1)/3 = 4
(4-1)/3 = 1
The first term is 1
Answer:
a_1 = 1
Step-by-step explanation:
your sequence is a_n = a_(n-1) * 3 + 1
if your 3rd one is 13 then:
a_3 = a_2 * 3 + 1 = (a_1 * 3 + 1) *3 + 1
13 = 9_a1 + 3 + 1
9 = 9*a_1
a_1 = 1 :)
A digital scale reports a 10 kg weight as weighing 8.975 kg. Which of the following is true?
Answer:
they are both true I guess. I just need points to get more answers. hopefully you find the right answer
Answer:
the scale is acurate but not percise
Step-by-step explanation:
I don't know how to solve this 2/4 + 3/8=?
Answer:
7/8
Step-by-step explanation:
look it up
your wel3
Answer: \(\frac{7}{8}\) or 0.875 in decimal form.
Step-by-step explanation:
Okay, so to solve this, the easiest method is to find a common denominator. While we could try using trial and error or if you know your tables really well, I don't so we will just multiply the denominators which is 8 and 4. We then multiply 8 and 4 which is 32.
To convert the fractions we have, we multiply both the numerator and denominator of each, by the multiple that multiplies the denominator to 32.
\(\frac{2}{4}\) multiply both 4 and 2 by 8. Now we have \(\frac{16}{32}\).
Same thing with the second number. We have \(\frac{3}{8}\). We multiply both the numerator and the denominator by 4. 3*4 is 12, 8*4 is 32.
Now we have \(\frac{12}{32}\).
Now that both fractions have common denominators, we can add the numerators. \(\frac{16}{32} +\frac{12}{32} = \frac{28}{32}\)
Now we have the answer, \(\frac{28}{32}\), but is that it?
No. Now to find the final two answers, we simply \(\frac{28}{32}\).
To simplify, we find the Greatest Common Factor of 28 and 32, which in this case happens to be 4. This is the highest number that either of those can be divided by to provide a normal whole number
After solving \(\frac{28/4}{32/4} =\frac{7}{8}\)
That is our final answer. \(\frac{7}{8}\).
If necessary, you can convert it to decimal form through simple division and end up with 0.875.
Solve the equation! ^w^
Answer:
Your correct answer would be 1
If you answer this question you get brainliest
I don't see the question, so...
Korey plants trees at a constant rate of 12 trees every 3 hours. What is an equation that relates p, the number of trees that korey plants, and h, the time he spends planting them in hours.
Answer:
p=4h
Step-by-step explanation:
Knowing that Korey plants 12 trees every 3 hours we then can figure out how many trees he plants in 1 hour, by dividing the ratio (12) to the rate (3) by doing that we get 4, which is the amount of trees that he would plant in 1 hour. Then the number of tree's that he plants (p) would equal 4 times how many hours he spends planting them.
rip me forgot how to solve this
Answer:
area = 14.28 cm²
Step-by-step explanation:
area of semi circle = 1/2(3.14)(2²) = 6.28 cm²
area of triangle = 1/2(4)(4) = 8 cm²
6.28 + 8 = 14.28 cm²
What is an equation of the line that passes through the points (-8, 2) and
(-4, -3)?
Answer:
y = -5/4x - 8
Step-by-step explanation:
Slope = m = -5/4
y = -5/4x + c (or b, depending on where you're from)
You can sub (-8, 2) and (-4, -3) into y = -5/4x - c and both are the same to where c = -8
Therefore, the equation is = y = -5/4x + (- 8)
= y = -5/4x - 8
Hope this helps
Suppose that gas costs Big Ray $2.00/gallon and that he pays an attendant $100/day. Let C(x)
represent the total daily cost as a function of the price of the gas. Find the formula for C(x)
Answer:
C(x) = 2x + 100
Step-by-step explanation:
Here, we want to find the formula for C(x)
Here, x will be the number of gallons of gas
so per day, if x gallons of gas were consumed, the daily cost here will be x * 2 = $2x
Adding the cost for the attendant, we have 2x + 100
So the formula for C(x) will be;
C(x) = 2x + 100
How do you solve a mean value theorem problem?
Answer:
So let's say if we have a function f of x. Let's say it looks like this let's call this point a and point b. Now if the function f of x if it's continuous on the closed interval a b.
Step-by-step explanation:
The point c = 11/2 is the point in (-2, 2) such that f'(c) = (f(2) - f(-2))/(2 - (-2)).
The Mean Value Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) such that f'(c) = (f(b) - f(a))/(b - a). The Mean Value Theorem is a useful tool for finding the maximum and minimum values of a function on an interval.
To solve a Mean Value Theorem problem, the first step is to identify the function f, its domain of definition, and the interval [a, b]. Then, use the theorem to find the point c in the interval (a, b) such that f'(c) = (f(b) - f(a))/(b - a).
For example, suppose we have the function f(x) = x2 + 3x + 4 defined on the interval [-2, 2]. To find the point c in the interval (-2, 2) such that f'(c) = (f(2) - f(2))/(2 - (-2)), we first calculate the derivatives of f(x). The derivative of f(x) is f'(x) = 2x + 3. Substituting x = 2 in the derivative gives f'(2) = 11. Now, we can use the Mean Value Theorem to find the point c:
f'(c) = (f(2) - f(-2))/(2 - (-2))
11 = (12 - (-2))/(2 - (-2))
11 = 14/4
c = 11/2
Therefore, the point c = 11/2 is the point in (-2, 2) such that f'(c) = (f(2) - f(-2))/(2 - (-2)).
Learn more about Mean Value Theorem here:
https://brainly.com/question/30403137
#SPJ4
1. a set within a set; all the elements of one set are also contained in another set
Answer:
"subset"
Step-by-step explanation:
The "set within a set" is called a "subset."
I need help please it's just this last question i don't know of and it's about quadratics and parabolas in algebra. It's basically a crossword but the question says " a graph can have one, two or none of these" and the first letter starts with a S. i have 80 points i will give out 50 i hope that's a lot i don't know much about points in this. Thank you.
Answer:
is there an actual graph though that would really help
Step-by-step explanation:
2. A(n)_______
has an infinite number of solutions.
Answer:
x+y+z=2 has no solutions. You can pick an arbitrary value for x4, and use that to calculate values for all the other variables so that all the equations will be satisfied. If you can set x4 to one of an infinity of real values, then you have an infinity of solutions