3). A cylindrical tank, 5 m in diameter, discharges through a horizontal mild steel pipe 100 m long and 225 mm in diameter connected to the base. Find the time taken for the water level in the tank to drop from 3 to 0.5 m above the bottom.
Answers
The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.
To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.
If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.
However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.
Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.
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Related Questions
The function S(x) = 20, 130e represents the number of people per week surging to shopping malls to buy a new product a weeks after it is made available to the market. Round all answers to the nearest whole number. a. Approximate the total number of people surging to buy the new product between 4 and 7 weeks. people b. Approximate the average number of people surging to buy the new product each week for weeks 4 through 7. people per week Get Help: Video eBook Points possible: 1 This is attempt 1 of 3 LE Submit
Answers
Approximately 29950 people per week is the average number of people surging to buy the new product each week for weeks 4 through 7.
Given: S(x) = 20, 130e represents the number of people per week surging to shopping malls to buy a new product a weeks after it is made available to the market. Find: Approximate the total number of people surging to buy the new product between 4 and 7 weeks, and Approximate the average number of people surging to buy the new product each week for weeks 4 through 7.
We know that: S(x) = 20, 130e represents the of people per week surging to shopping malls to buy a new product a weeks after it is made available to the market.∴ S(x) = 20, 130e people per week
Approximate the total number of people surging to buy the new product between 4 and 7 weeks. Put x = 4 and x = 7 in S(x), we get S(4) = 20, 130e4 ≈ 2828 people
S(7) = 20, 130e7 ≈ 99012 people
Total number of people surging to buy the new product between 4 and 7 weeks ≈ S(4) + S(5) + S(6) + S(7)≈ 2828 + 5450 + 10511 + 99012≈ 119801 people
Therefore, Approximate the total number of people surging to buy the new product between 4 and 7 weeks is 119801 people.
Approximate the average number of people surging to buy the new product each week for weeks 4 through 7.To find the average number of people surging to buy the new product each week for weeks 4 through 7, we need to find the total number of people for 4 weeks and divide it by 4.
Total number of people surging to buy the new product for 4 weeks ≈ S(4) + S(5) + S(6) + S(7)≈ 2828 + 5450 + 10511 + 99012≈ 119801 people
Average number of people surging to buy the new product each week for weeks 4 through 7 ≈ Total number of people for 4 weeks / 4≈ 119801 / 4≈ 29950 people per week
Therefore, Approximate the average number of people surging to buy the new product each week for weeks 4 through 7 is 29950 people per week.
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what is the correct number of significant figures resulting from the following calculation? (2.461×4.215)−5.122
Answers
When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.
To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.
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The areas of two circles are 92 2 and 62 2
respectively. Find the radius of the circle
having its area equal to the sum of the areas of the two circles.
Answers
Answer:
formula for area of a circle = πr²
πr² = 92cm² first circle
πr² = 62cm² second circle
now to find the radius of a circle having the sum of the other circle.
πr² = 92 + 62
3.142 × r² = 154
r² = 154/3.142
r² = 49.013
take square root of both sides
r = √49.013
r = 7.000cm ≈ 7cm
using diagonals from a common vertex, how many triangles could be formed from a 21-gon?
Answers
Total 816 triangles that can be formed using diagonals from a common vertex of a 21-gon.
What are Diagonals?In mathematics, a diagonal is a line joining two vertices of a polygon or solid whose vertices do not lie on the same edge. Diagonals are generally defined as oblique lines or slanted lines connecting the vertices of a shape. A diagonal is defined as a horizontal shape with sides/edges and corners.
Solution of the given problem:
Firstly, choose 3 vertices of 21-gon which are not adjacent to each other.
Secondly, connect all three vertices to a common vertex.
Now, there are 18 vertices that are not adjacent to common vertex and there are now 18 diagonals that can be drawn to the common vertex up to these vertices.
To form a triangle using these diagonals, we need to choose 3 of these 18 vertices, this can be calculated using the binomial coefficient formula:
18 choose 3 = 18! / (3! * (18 - 3)!) = (18 * 17 * 16) / (3 * 2 * 1) = 816
Thus, total 816 triangles can be formed.
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Please help me with this math problem
Answers
Answer:
104.52 sq m
Step-by-step explanation:
The area of the top triangle is 1/2(12 * 8) = 48 sq m
The bottom semicircle is 1/2(pi r-squared) or 1/2(3.14 * 6^2) = 56.52 sq m
Add together and they are 104.52 sq m
As the department manager, you've just been informed the organization is having to cut back on expenses This means some departments likely will incur employee losses. You are to attend a managers meeting to justify your department's current budget. The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be: column chart line chart bar chart pie chart
Answers
Answer:
The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:
Pie Chart
Step-by-step explanation:
Angle 1 and which angle are corresponding angles? What is
the measure of this angle?
Answers
Answer:
angle 2
Step-by-step explanation:
Corresponding angles are angles that are on the same side of the transversal and are congruent.
To visualize this kindly view the attatched image.
Based off of the attatched image, the angle corresponding to angle 1 whould be angle 2.
We are not given enough information to find the measure of this angle but we do know ∠1 ≅ ∠2
slader the shortest path between two points on a curved surface, such as the surface of a sphere, is called a geodesic. to find a geodesic, one has first to set up an integral that gives the length of a path on the surface in question. this will always be similar to the integral (6.2) but may be more complicated (depending on the nature of the surface) and may involve different coordinates than x and y. to illustrate this, use spherical polar c
Answers
A geodesic is the shortest path between two points on a curved surface, such as a sphere. To find a geodesic, an integral is set up to determine the length of a path on the surface.
This integral is similar to the one used for flat surfaces but may be more complex and involve different coordinates depending on the nature of the curved surface. In the case of a sphere, spherical polar coordinates are commonly used.
The length of a path on a curved surface can be expressed using an integral similar to Equation (6.2) for flat surfaces. However, when dealing with a sphere, the integral may involve different coordinates, specifically spherical polar coordinates. Spherical polar coordinates consist of three components: radius (r), polar angle (θ), and azimuthal angle (φ). By expressing the path in terms of these coordinates, the integral can be set up to calculate the length of the geodesic.
To illustrate this, let's consider the example of finding the geodesic on the surface of a sphere. The integral would involve integrating the square root of the sum of squared differentials of the three spherical polar coordinates, weighted by the appropriate metric coefficients. The specific form of the integral would depend on the metric tensor associated with the spherical polar coordinate system. By minimizing this integral, the geodesic between two points on the sphere can be determined. In summary, finding the geodesic, or shortest path, between two points on a curved surface involves setting up an integral to calculate the path length. The integral is similar to the one used for flat surfaces but may be more complex and use different coordinates, such as spherical polar coordinates for a sphere. By minimizing the integral, the geodesic on the curved surface can be found.
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Someone help me, will give brainliest!
Answers
Answer: I think that this question Is biased.
Step-by-step explanation:
It is biased because the mayor might not like having a skate park.
Tommy has 6 children. Two of them are ages 1 to 3, two are 8 to 11, and the rest are 4 to 7. What is the age of one of the children if they are four years younger than an 11 year old? Divide that age by 2 to find the age of the second middle child. Use algebraic form to solve. Include months and years.
Answers
Answer:
3 years and 5 months
I think
Step-by-step explanation:
11-4=7
7/2=3.5
Pls mark me brainlist
Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 227.5 miles in 3.5 hours?
Answers
Answer: 35 mile/hour
Step-by-step explanation:
\(r=\frac{d}{t}\)
∴ \(r=\frac{227.5}{3.5}=65\)
= 65 mile/hour
Determine whether f(x) = 1 − x is linear. If so, give the slope and y-intercept.
Answers
Answer:
yea it is linear
Step-by-step explanation:
y you must let x=0 so y=1-0 so yintercept is
It is another Friday evening, and you want to have some pizza again! You have $60 in your
pocket, and a slice of pizza costs $3.
a) Draw your feasible set in terms of pizza and leftover cash and your preferred choice
point. Let’s put pizza on the x (horizontal) axis and cash on the y (vertical) axis.
b) Explain why the preferred choice point you selected above is your preferred choice.
c) Imagine you went to a Pizza place, and you find out that there is an entrance fee of $9.
Draw your new feasible set and new preferred choice.
d) Describe in words how the change in entrance fee affected your decision.
Answers
a) The feasible set can be represented as a straight line with a negative slope on a graph.
b) The preferred choice point is (15, 15).
c) With an entrance fee of $9, the new feasible set shifts vertically upwards.
d) The change in entrance fee reduced the amount of leftover cash in the feasible set.
a) The x-axis represents the number of pizza slices, and the y-axis represents the leftover cash. The line starts at the point (0, 60) and intersects the x-axis at (20, 0). This means that you can buy a maximum of 20 pizza slices with $60, and if you don't buy any pizza, you will have $60 left.
b) This point represents buying 15 slices of pizza, which costs $45, and having $15 left. It is the preferred choice because it allows for a balance between enjoying pizza and not exhausting all the cash. It provides both a substantial amount of pizza and a reasonable amount of leftover cash.
c) The line now starts at (0, 51) and intersects the x-axis at (20, 9). This means that with the entrance fee, you can buy a maximum of 20 pizza slices and have $9 left.
d) It means that you have less cash available after buying pizza slices. The new preferred choice would likely shift downwards to a point that allows for a reasonable number of pizza slices while still leaving enough money to cover the entrance fee.
The change in entrance fee makes it necessary to consider the balance between the number of pizza slices and the available cash more carefully to ensure you can afford the entrance fee and still enjoy a satisfying amount of pizza.
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Can you solve this please
Answers
Answer:
That's a Project not a Problem.
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answers
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
Shown is a circle with centre O. ABC is a straight line. Angle CBD is 146 degrees
Find the size of angle AOD.
Answers
help plzzzzzzzzzzzzzz
Answers
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
A manufacturer of a certain commodity has estimated that her profit (in thousands of dollars) is given by the expression −6x2 + 42x − 10 where x (in thousands) is the number of units produced. What production range will enable the manufacturer to realize a profit of at least $26,000 on the commodity?
Answers
The production range that will enable the manufacturer to realize a profit of at least $26,000 on the commodity is from 20,320 to 32,060 units (in thousands).
The given expression representing the profit (in thousands of dollars) made by the manufacturer for a certain commodity is −6x2+42x−10, where x (in thousands) represents the number of units produced.
Let's find out the production range that will enable the manufacturer to realize a profit of at least $26,000 on the commodity.
Solution:
We are given that the profit (in thousands of dollars) made by the manufacturer for a certain commodity is −6x2+42x−10.
We are asked to find out the production range that will enable the manufacturer to realize a profit of at least $26,000 on the commodity.
Given expression representing profit = −6x2+42x−10
Now, let's substitute this expression with $26,000 representing the minimum profit to be made.
Therefore, we get:
26000 = −6x2+42x−1026x² - 42x + 26010 = 0
Dividing both sides by 2, we get:13x² - 21x + 13005 = 0
Now, we can solve this quadratic equation for x.
Using the quadratic formula, we get:
x = (21 ± √(21²-4×13×13005))/(2×13)x = (21 ± 499.91)/26
Therefore, x = 20.32 or 32.06 (Note that we are looking for the production range, so we need to consider both the values of x)
Thus, the production range that will enable the manufacturer to realize a profit of at least $26,000 on the commodity is from 20,320 to 32,060 units (in thousands).
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TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answers
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
Evaluate the expression 2c-4d if c = 8 and d - -5
-4
16
36
3
Answers
Answer:
The answer is 36
Step-by-step explanation:
=16-4(-5)
=16-(-20)
=36
What are the X and y intercepts? Write a polynomial in factored form.
Answers
Answer:
f(x) = (x + 1)(x - 2) + 4
Step-by-step explanation:
X-intercepts
(-1, 0)(2, 0)⇒ (x + 1) and (x - 2)
⇒ Y-intercept = (0, 4) ⇒ + 4
Polynomial
f(x) = (x + 1)(x - 2) + 4When θ = 28° , which equation can be used to find the distance from point a to point b?
Answers
The equation used to represent the distance between two points A and B is AB = x Cos 28°
The equation can be defined as a mathematical statement made up of expressions. The length of the line that connects two points is known as the distance between the two points. A triangle is a closed shape with 3 sides, 3 angles and 3 vertices. Triangle is a 2- dimensional figure.
As per the given question,
A and B are the points in a triangleΘ = 28Let the hypotenuse be x
The two points A and B are on the base of the triangle so,
Base - length = AB
The distance between the two points is
⇒ cos Θ = base / hypotenuse
where, base = AB
hypotenuse = x
⇒ cos Θ = AB / x
⇒ AB = x cos Θ → 1
Substitute Θ = 28 in 1,
⇒ AB = x cos 28°
Therefore, AB = x cos 28° is the equation used to represent the distance between two points A and B.
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The complete question is
When θ = 28° , which equation can be used to find the distance from point a to point b?
Rule: y = x - 3
Help
Answers
Answer:
The first answer is 4 and so is the next box. The last one is 10.
Step-by-step explanation:Use your formula. It gave you y=x-3, so every Y point in the able will be 3 less than its corresponding x point.
Plug in the given values for either x or y and solve for the other.
When x = 7 , y = ?
Plug in 7 for x in the given equation:
y = x - 3
y = 7 - 3
y = 4
When x = 7, y = 4
When x = ? , y = 1
Plug in 1 for y in the given equation:
1 = x - 3
1 (+3) = x - 3 (+3)
x = 1 + 3
x = 4
When x = 4, y = 1
When x = ? , y = 7
Plug in 7 for y in the given equation:
7 = x - 3
7 (+3) = x - 3 (+3)
x = 7 + 3
x = 10
When x = 10, y = 7
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Which of the following measurements could be the side lengths of a right triangle?
Group of answer choices
5, 8, 12
14, 48, 50
3, 5, 6
8, 13, 15
Answers
14, 48, 50
Step-by-step explanation:
1. 14^2 + 48^2 = 50^2
2. 196 + 2304 = 2500
3. 2500 = 2500
what is the surface area of a right circular cylinder
Answers
A right circular cylinder has two circular faces and one rectangular face.
We can find the surface area of the cylinder by summing the area of all three faces.
We use the formula:
Surface area of a right circular cylinder = 2πr² + 2πrh
Where r is the radius of the circular base and h is the height of the cylinder.
The surface area of a right circular cylinder is given by the formula:
Surface area of a right circular cylinder = 2πr² + 2πrh
Where r is the radius of the circular base and h is the height of the cylinder.
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If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
Answers
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
In the context of chi square, which pattern of cell frequencies in a 2x2 table would indicate that the variables are independent? a. Only the cells in the top row of the table have cases in them b. There are no cases in any celf c. There are a different number of cases in each of the tour cells d. All cell trequencics are exactly the same
Answers
Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.
In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.
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Mark used his debit card to buy groceries for $87 on Saturday and gas for $41 on Sunday. If his bank account balance is now $542, what was his starting balance on Saturday?
Answers
Answer:
414
Step-by-step explanation:
87+41=128
542-128=414
Explanation:
can someone please help me with this!!??
Answers
Answer:
0.94; 9/10; 88%; 0.78; 8/11
Step-by-step explanation:
Answer:
.94, 9/10, 88%, .78, and 8/11
Step-by-step explanation:
All % can be rewritten by moving the decimal 2 places to the left, (88% turns to .88)
Divide the fractions to get thier decimals
8/10 goes to .80
8/11 goes to .727272...
Now just put them in order
.7272, .78, .88, .90, .94 (Least to greatest)
.94, .90, .88, .78, .7272 (Greatest to least (What the problem wants))
Now convert them to the original form
.94, 9/10, 88%, .78, and 8/11
- Gage Millar, Algebra 2 Tutor.
Robert bought a combination of 15 colored and normal pencils. Each pencil wad $0.60 and each colored pencil was $0.45. In total he paid $8.70. How many colored pencil and pencil did he buy?
Show equation
Answers
Answer:
Robert bought 13 colored pencils and 2 pencils
Step-by-step explanation:
13 x 0.60 = 7.8
2 x 0.45 = 0.9
7.8 + 0.9 = 8.70
13 colored pencils are $7.80
2 pencils are $0.9
15 total is $8.70