The given cylindrical container is used to fill the rectangular prism fish tank with water. what is the least number of full cylindrical containers needed to completely fill the fish tank?

Answers

Answer 1

30 full cylindrical containers are required to completely fill the fish tank.

What is a cylinder?A cylinder is a surface made up of all the points on all the lines that are parallel to a given line and pass through a set plane curve in a plane that is not parallel to the given line. Such cylinders have been referred to as generalized cylinders at times.

To find what is the least number of full cylindrical containers needed to completely fill the fish tank:

We know the volume of the cylinder is given by: \(V=\pi r^{2} h\)

The volume of a cylinder:

\(V=\pi (\frac{6}{2} )^{2} (8)\\V=75\pi inches^{3}\)

The volume of cube V = 24 × 24 × 12 = 6912 cubic inches

A number of full cylindrical containers are needed to completely fill the fish tank:

6912/72π30.55 ≈ 30

Therefore, 30 full cylindrical containers are required to completely fill the fish tank.

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The Given Cylindrical Container Is Used To Fill The Rectangular Prism Fish Tank With Water. What Is The

Related Questions

Triangulation is a method of finding the location of an object based on measurements made from two other locations.

Answers

Triangulation is the method of finding the location of an object based on the measurements made from the two other locations. The above statement is true statement.

Triangulation is the division of a face or plane polygon into a series of triangles, usually with the limitation that each side of a triangle is fully shared by two adjacent triangles. In geometry, triangulation is the division of planar objects into triangles, or more broadly, the division of high-dimensional geometric objects into simplifications. Triangulation of a 3D volume involves subdivision into packed tetrahedra that directly measure distances to points. It is a method for finding the location of the object.

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Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable

Answers

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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April 100 May 140 June 110 July 150 August 120 September 160 What is this month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145?

Answers

This month's forecast using exponential smoothing with alpha = 0.2, if August's forecast was 145 is  148..

How can the forecast be done?

The exponential window function is a general method for smoothing time series data known as exponential smoothing. In contrast to the ordinary moving average, which weights previous data equally, exponential functions use weights that decrease exponentially with time.

The exponential smoothing with an alpha of .2 can be expressed as

F(t) = α*D(t) + (1-α)*F(t-1)

α = 0.2

F(t) = forecast for this month (October)

D(t) = actual demand for the last month (September) = 160

F(t-1) = forecast for last month (August) = 145

Then this can be expressed as ;

0.2*160 + (1-0.2)*145

= 32 + 116

= 148

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complete question;

The owner of Darkest Tans Unlimited in a local mall is forecasting this month's (October's) demand for the one new tanning booth based on the following historical data: col1 Month April May June July August September col2 Number of Visits 100 140 110 150 120 160 What is this month's forecast using exponential smoothing with alpha =. 2, if August's forecast was 145? a. 163b. 142 c. 148 d. 140 e. 144

A researcher identifies college students as a group of interest to test her hypothesis.She then identifies a few local college students and selects a small group of local college students to be observed.In this example,the sample is:
A) not clearly identified.
B) all college students.
C) the few local college students.
D) the small group of college students who are observed.

Answers

The sample in this example is D) the small group of college students who are observed. The correct option is D.

The researcher has identified college students as her group of interest, but it is not feasible or practical to observe or study all college students. Therefore, she needs to select a subset of college students, which is known as a sample. In this case, she has chosen to observe a small group of local college students, which is the sample. It is important to note that the sample needs to be representative of the larger population of interest, in this case, all college students, in order for the results to be applicable to the larger group.

While the sample in this example is only a small group of local college students, the researcher would need to ensure that they are representative of all college students in order for the results to be generalizable.

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A student throws a ball upwards with a velocity of 5 m/s. If the ball had a velocity of -5m/s what direction is it traveling?



Answers

down. as you see it says -5m/s so its down hope thats help full

Backwards

Step-by-step explanation:

Which graph represents the equation y equals one half times x minus 1?

graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1

graph of a line passing through the points negative 2 comma 0 and 0 comma 1

graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2

graph of a line passing through the points negative 4 comma 0 and 0 comma 2

Answers

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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Which graph represents the equation y equals one half times x minus 1? graph of a line passing through

What is used to periodically check that a process is in statistical control?

a. sampling

b. scrap parts

c. the process is only measured in the beginning 100 percent inspection.

Answers

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time

What is used to periodically check that a process is in statistical control?

a. sampling

b. scrap parts

c. the process is only measured in the beginning 100 percent inspection.

a. Sampling is used to periodically check that a process is in statistical control.

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).

One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.

If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.

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What is the surface area?
in
- 5 in

Answers

Answer:

94 ft

Step-by-step explanation:

Evaluate ∫ [sinx+cosx]dx over 0 to 2π, where [] denotes the G.I.F.

Answers

The value of the definite integral ∫ [sinx+cosx]dx over the interval 0 to 2π, where [] represents the greatest integer function, is equal to 2.

The greatest integer function [x] returns the largest integer less than or equal to x. To evaluate the given integral, we need to split the interval [0, 2π] into subintervals where the values of sinx and cosx change.

For each subinterval, we evaluate the integral of [sinx+cosx] over that interval. Since the greatest integer function only takes integer values, [sinx+cosx] will take different constant values for different subintervals.

In the interval [0, π/2), both sinx and cosx are positive, so [sinx+cosx] = 1. Therefore, the integral over this interval is equal to π/2 – 0 = π/2.

In the interval [π/2, π), sinx is positive and cosx is negative, so [sinx+cosx] = 0. The integral over this interval is 0 – (π/2) = -π/2.

In the interval [π, 3π/2), both sinx and cosx are negative, so [sinx+cosx] = -1. The integral over this interval is equal to 0 – (-π/2) = π/2.

In the interval [3π/2, 2π], sinx is negative and cosx is positive, so [sinx+cosx] = 0. The integral over this interval is (π/2) – 0 = π/2.

Adding up the integrals over each subinterval, we get (π/2) + (-π/2) + (π/2) + (π/2) = 2π/2 = 2.

Therefore, the value of the definite integral ∫ [sinx+cosx]dx over the interval 0 to 2π is equal to 2.

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plzzz help so i want fail

plzzz help so i want fail

Answers

Answer:

B

Step-by-step explanation:

There is 1 oboe for every seven clarinets, so the ratio is 1/7

all the answers in the one are just 1/7 written differently, but when you reduce them all, they all end up being 1/7.

A ski instructor recorded the amount of snow that fell each Saturday during ski season. He displayed the data in a line plot.
What is the range in this set of data?

Answers

the range in this set of data is 25 inches. To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

The range in a set of data is the difference between the maximum and minimum values in the set.

To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

Let's say that the highest amount recorded was 30 inches and the lowest amount recorded was 5 inches. Then the range would be:

range = highest amount - lowest amount

range = 30 - 5

range = 25

Therefore, the range in this set of data is 25 inches.

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What is the volume of a cylinder

Answers

Answer:

Step-by-step explanation:

i d k

what is the circumfrence of a circle with a diameter of 36 inches in terms of pie

Answers

The circumference of a circle can be found using the formula:

C = πd

where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and d is the diameter of the circle.

If the diameter of the circle is 36 inches, we can substitute that value into the formula:

C = πd
C = π(36)
C = 36π

Therefore, the circumference of the circle with a diameter of 36 inches, in terms of π, is 36π inches.

Find the Unit Rate for $6.84 for 9 ounces.

Answers

Answer:

$6.84/9

Step-by-step explanation:

what is the answer to y=2x-9

Answers

Sorry to break it to you, but...

That's a line equation my dude. There's no answer.

Answer:

x=4.5 y=0

Step-by-step explanation:

For the x coordinate set y to zero for the y coordinate set x to zero. Example:

0=2x-9

9=2x

4.5=x

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
0.96
What is the equivalent fraction?

Answers

Answer:

96% percent and fraction is 24/25

Answer: Down below

Step-by-step explanation:

64 % = 16 / 25

21 / 50 = 0. 42

9 / 25 = 36 %

2 / 5 = 40 %

/ = divide okay

Watches and bacteria: A group of researchers investigated the contamination of medical personnel watches at a New York hospital, since there is a potential for patient exposure to potentially dangerous bacteria.They sampled watches worn by physicians, physician assistants, and medical students at a teaching hospital in New York. Nearly half (46.6%) of the watches tested harbored microorganisms that can cause illness. By comparison, only one of the 10 watches worn by security guards tested positive for a disease-carrying microorganism. The researchers want to determine if the difference is statistically significant.Which of the following is an appropriate statement of the null hypothesis, H0?A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.B. The proportion of contaminated wrist-watches from medical personnel is not the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p not equal 46.6%.C. The proportion of contaminated wrist-watches from medical personnel is greater than the proportion of contaminated wrist-watches from security guards, i.e., H0: p > 46.6%.

Answers

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

What is a null hypothesis?

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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Wich relation is a function of x

Wich relation is a function of x

Answers

Answer:

the first one

Step-by-step explanation:

In the other 2 i can see the x repeats itself meaning it isn't a function.

How do you find the slope from a equation​

Answers

Answer:

For example the equation is y=3x+4 ... the slope would be 3

It's the number coming before the x variable

Use the expansion of (2-p)⁴ to find the coefficient of x² in the expansion of(1-4x+x²/2)⁴

Answers

To find the coefficient of x² in the expansion of (1-4x+x²/2)⁴, we can use the expansion of (2-p)⁴ and substitute p with (1-4x+x²/2).

The expansion of (2-p)⁴ is given by 1 - 8p + 24p² - 32p³ + 16p⁴. We can substitute p with (1-4x+x²/2) to get the expansion of (1-4x+x²/2)⁴. By replacing p with (1-4x+x²/2) in each term of the expansion, we obtain the following expression:

1 - 8(1-4x+x²/2) + 24(1-4x+x²/2)² - 32(1-4x+x²/2)³ + 16(1-4x+x²/2)⁴.

To find the coefficient of x², we need to identify the term that contains x². In this case, the term containing x² is 24(1-4x+x²/2)². Expanding this term further, we get: 24(1-8x+8x²/2-16x²+16x³/2+x⁴/4).

Simplifying this expression, we obtain: 24 - 192x + 96x² - 96x³ + 12x⁴.

Therefore, the coefficient of x² in the expansion of (1-4x+x²/2)⁴ is 96.

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HELP ASAP I'LL GIVE BRAINLIEST ITS TIMED

HELP ASAP I'LL GIVE BRAINLIEST ITS TIMED

Answers

Your answer is 158 hope this helps.

Answer

52.6666666667

Step-by-step explanation:

look it up

Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) integral (1/(xV(4x^2 + 49)) dx

Answers

The indefinite integral is (1÷4)√(4x² + 49) + C.

How we find the indefinite integral of (1÷(x√(4x² + 49))) dx?

we will use substitution and include the constant of integration (C) in the final answer.

Perform substitution.
Let u = 4x^2 + 49. Then, du/dx = 8x. So, dx = du/(8x).
Rewrite the integral.
Now, we can rewrite the integral as: ∫(1/(x√u)) (du/(8x))
Simplify the integral.
The x terms cancel out: ∫(1/√u) (du/8) = (1/8) ∫(1/√u) du
Solve the integral.
Now, we can find the indefinite integral: (1/8) ∫u^(-1/2) du = (1/8) [2u^(1/2)] + C = (1/4)√u + C

Substitute back the original expression for u.
Finally, substitute u = 4x^2 + 49 back into the expression: (1/4)√(4x² + 49) + C

So, the indefinite integral of (1/(x√(4x^2 + 49))) dx is (1/4)√(4x^2 + 49) + C. Absolute values were not necessary in this case, as the function remains positive for all x values.

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Identify the figures

Identify the figures

Answers

Answer:

1. segment (c)

2. ray (d)

Step-by-step explanation:

hope it helps

Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth. Log6 21. 1. 70

Answers

The evaluation of the logarithmic expression log6 21 is approximately 1.70.

To evaluate the logarithmic expression log6 21, we need to determine the exponent to which 6 must be raised to obtain 21. In other words, we need to find the value of x in the equation 6ˣ = 21. To solve for x, we can use the logarithmic property that states log base b of a equals x if and only if be  = a. In this case, we have log6 21 = x, so 6ˣ  = 21.

To find the value of x, we can rewrite the equation using exponential notation: 6ˣ  = 21. Taking the logarithm of both sides with base 6, we get: log6 (6ˣ ) = log6 21 Using the logarithmic property, we can simplify the equation to: x = log6 21. Therefore, the value of x is equal to the logarithm of 21 with base 6. To evaluate this expression, we can use a calculator or logarithmic tables. The approximate value of log6 21 is 1.70.

Hence, the evaluation of the logarithmic expression log6 21 is approximately 1.70.

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Two men are pushing a broken down car, mass 1800 kg, along a horizontal road with a combined horizontal force of 1000n. at one instant the car accelerates at 0.25m/s^". what is the value of frictional force acting on car at instant

Answers

When 2 men pushes car with mass 1800 kg and their combined horizontal forces are 1000 N, then frictional force acting on the car is 550 N.

The situation can be depicted in the attached picture. F1 and F2 are the horizontal forces of both men, while Fr is the frictional force. Remember that a frictional force is always the opposite of the direction of velocity.

Apply the 2nd Newton law of motion:

∑F = m.a

Where:

∑F = resultant of forces

m = mass of object

a = acceleration

In this situation, ∑F = F1 + F2 - Fr

The given parameters:

m = 1800 kg

a =  0.25 m/s²

F1 + F2 = 1000 N

Substitute these parameters into the  2nd Newton law:

F1 + F2 - Fr = m.a

1000 - Fr = 1800 . (0.25)

1000 - Fr  = 450

Fr = 1000 - 450 = 550 N

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Two men are pushing a broken down car, mass 1800 kg, along a horizontal road with a combined horizontal

For the function y=x^2-15x+10,work out the coordinates of the y-intercept

Answers

The coordinates of y-intercept are \((0,10)\)

What is the y-intercept of a function?

When a graph crosses the y-axis, that location is known as the y-intercept. It is the value of y at x=0, to put it another way.

We are given a function \(y=x^{2} -15x+10\).

We have to find the y-intercept of the above function.

to find that we put \(x=0\) in the above function we get,

\(y=x^{2} -15x+10\\y=0^{2}-15(0)+10\\ y=10\)

The coordinates of y-intercept can be given as \((0,10)\).

Hence the coordinates of y-intercept are \((0,10)\).

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x-3= 0 and 4x+2y-1= 0​

Answers

x-3=0
x=3

4x+2y-1=0
4(3)+2y-1=0
12+2y-1=0
11+2y=0
2y=-11
y=-5.5
x - 3 = 0 ........................ (1)
4x + 2y - 1 = 0 .............. (2)

From (1):
x - 3 = 0
x = 3

Sub x = 3 into the equation:
4(3) + 2y - 1 = 0

12 + 2y - 1 = 0

2y = -12 + 1

2y = -11

y = -11/2 or -5.5

2 apples cost 2 dabloons.
How much does 1 apple cost

Answers

it only costs 1 dabloon

the first step in the marketing research process is always: a) to determine the company's research goals b) to collect secondary data c) to determine the group of research participants for the study and the sample size d) to plan the research design e) to interpret primary data

Answers

The first step in the marketing research process is typically A: "to determine the company's research goals."

The marketing research process typically involves several steps, including defining the research problem or opportunity, determining the research goals, collecting secondary data, determining the group of research participants for the study and the sample size, designing the research study, collecting primary data, analyzing the data, and interpreting the results. By determining the company's research goals, the researcher can ensure that the research study is focused and that the results will be useful and relevant to the company.

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HELPPP ME PLSS

If m∠I = 47°, what is m∠J? 90° 47° 43° 4°

Answers

The measure of the angle J is m∠J = 43°.

Option (C) is correct.

What are complementary angles?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Complementary angles state that two angles add up to 90 degrees.

Given: m∠I = 47°

m∠I + m∠J = 90°

m∠J = 90° - 47°

m∠I = 43°

Hence, the measure of the angle J is m∠J = 43°.

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