A tank is half full of oil that has a density of 900 kg/m³. Find the work W (in J) required to pump the oil out of the spout. (Use 9.8 m/s² for g. Round your answer to the nearest whole number.)
6 m
2 m
A spherical tank is given. The tank has radius 6 m and spot coming out of the top with height 2 m.

Answer:

5 HOURS

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

Answer:

Answer: selling price is 63000

Step-by-step explanation:

Farmer bought seeds of ₹45000

Farmer bought fertilizers of ₹5000

Farmer spent on transportation₹25000

Total c.p. of crops is ₹52500

He got a profit of20%

Selling price =?

S.p. =20/100*52500

=10500

S.p.=c.p.+profit

=52500+10500

=63000

Answer:

y=1/3x+5

Step-by-step explanation:

Algorithm is a set of instructions for solving a problem or performing a task, typically designed for a computer to follow.

An algorithm is essentially a step-by-step procedure for solving a problem or accomplishing a specific task. It is used in various fields, including mathematics, computer science, engineering, and many others. In computer science, algorithms are essential for software development and programming, as they provide a systematic approach to designing and implementing complex programs. The process of developing an algorithm typically involves breaking down a problem into smaller sub-problems, identifying the key steps required to solve each sub-problem, and then putting the steps together in the correct order to form a complete solution.

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The expression that represents the relationship between the step number n and the total number of small squares in the pattern is this: (n-1)^2.

From the given information, we can see that the pattern starts with 0 squares at step 1, and each subsequent step adds a square to the pattern. However, the lower right square is always missing. Therefore, the total number of small squares in the pattern at step n can be represented by the expression: (n-1)^2

The reason we subtract 1 from n is that we started counting from step 1, whereas the expression (n-1)^2 assumes that we start counting from 0. Then we square (n-1) to account for the number of squares in the pattern, excluding the missing square in the lower right corner.

Complete Question:

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

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Answer:23

Step-by-step explanation:

Answer:

z = 23

Step-by-step explanation:

The angles in a triangle add up to 180°.

So, 62° + 95° + z = 180°.

Subtract 62 and 95 on both sides.

62 + 95 + z - 62 - 95 = 180 - 62 - 95

z = 23

Hope this helps! Feel free to ask any questions.

The Body Mass Index (BMI) calculator provided by the Centers for Disease Control and Prevention (CDC) is a widely used tool to determine whether an individual is at a healthy weight. However, it is important to note that the accuracy of the BMI calculator can depend on a variety of factors.

One of the main limitations of the BMI calculator is that it is based on a person's weight and height, and it does not take into account other factors such as muscle mass, body composition, and overall health. For example, a highly muscular person may have a high BMI, even though they have very little body fat. Similarly, an older person may have a lower BMI, even though they have a higher amount of body fat.

Another limitation of the BMI calculator is that it does not take into account the distribution of body fat. For example, carrying excess fat around the abdominal area is associated with a higher risk of health problems than carrying it around the hips and thighs.

Additionally, the CDC BMI calculator may not be accurate for certain populations, such as older adults, athletes, pregnant women and people with disabilities, as the calculation is based on a healthy population, and may not be appropriate for these groups.

It's important to note that the BMI is not a diagnostic tool. It is intended to be used as a population screening tool and should not be used to diagnose an individual as having a weight-related health problem. A more accurate assessment of body composition can be obtained using methods such as skinfold thickness measurements, bioelectrical impedance, and dual-energy x-ray absorptiometry (DXA).

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Answer:

X-Intercept: \(x=-\frac{5}{2}y\)

Y-Intercept: \(y=-\frac{2}{5}x\)

Step-by-step explanation:

X-Intercept-

2x+5y=0     - Move the variable to the right-hand side and change its sign

2x=-5y     - Divide both side of the equation by 2

x=-5/27     - Write the solution x in parametric form

x=-5/2y, y∈R

Y-Intercept-

2x+5y=0    - Move the variable to the right hand side and change its sign

5y=-2x     Divide both sides of the equation by 5

y=-2/5x     Write the solution y in parametric form

y=-2/5x, x∈R

Answer:

(0,8)

Step-by-step explanation:

\(g(0)=4f(0)=4(2)=8\)

Answer:

Step-by-step explanation:

a) Equivalence relations are those which satisfy three properties: symmetric, reflexive, and transitive. If these three conditions are met, then a relation is an equivalence relation.

If the relation satisfies these three conditions, we can say it is an equivalence relation. This relation has no equivalence class as there is only one element. For every x belongs to X, (x,x) belongs to R. Thus, R is a reflexive relation.

For every x, y belongs to X, if (x,y) belongs to R then (y,x) belongs to R. Thus, R is a symmetric relation. For every x, y, and z belongs to X, if (x,y) belongs to R and (y,z) belongs to R then (x,z) belongs to R. Thus, R is a transitive relation.

b) If we consider S as the relation of persons who are spouses of each other, then it is an equivalence relation as it satisfies the three properties that an equivalence relation must satisfy.

Therefore, the spouses in the domain would be partitioned into equivalence classes, where each equivalence class contains a couple that are spouses of each other.

c) We know that an integer z is even if z=2k for some integer k. Thus, xEy if x+y=2k. It is an equivalence relation, as it satisfies the three conditions of an equivalence relation. In this relation, there are two equivalence classes: {2k,2k}, {2k+1,2k-1}.

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The logarithm expression when evaluated is lg(1000a²/b⁴)

From the question, we have the following parameters that can be used in our computation:

3+2lg a-4lg b

Apply the exponent law of logarithm

3 + lga² - lgb⁴

Apply the quotient law of logarithm

So, we have the following representation

3 + lg(a²/b⁴)

Also, we have

lg1000 = 3

Next, we have

lg1000 + lg(a²/b⁴)

So, we have

lg(1000a²/b⁴)

Hence, the solution is lg(1000a²/b⁴)

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Answer:

mx is the slope. b is the y-intercept

Step-by-step explanation:

the first thing you should always do is identify your slope this is key for graphing. remember your slope is b so what ever b is you locate that point in the x axis.

then whatever your slope is remember that it is rise over run so say your equation is y=3x+5 you plot the point on the y intercept which is 5. now 3x is your slope so you put it as a fraction to make it easier this is what it looks like in a fraction "3/1" so you go up 3 on the graph and over 1 because of rise/run

Answer:

False

Step-by-step explanation:

Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)

If you add the two equations in the middle together, you'd end up with

    -3y = 15

And divide both sides by -3 and you'd have

     y = -5

Since there's only one solution with a y-value of -5, it must be the first option, (-19/2, -5).

You can confirm this is correct by substituting in -19/2 for x and -5 for y in both equations.

Answer: I am also not knowing this answer I am confused about the question.

Step-by-step explanation:

Answer:

your question is confusing

Step-by-step explanation:

im sorry

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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The negation of the proposition posed the statement is:

"Every student in this class has seen a computer."

The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:

∀ x ∈ S, ∃ y ∈ C (x has seen y)

This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."

In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."

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The equation of the variable y in terms of x is y = -2x + 16

From the question, we have the following parameters that can be used in our computation:

(2, 12) and (6, 4)

A linear equation is represented as

y = mx + c

Substitute the given points in the above equation, so, we have the following representation

2m + c = 12

6m + c = 4

When the equations are subtracted, we have

-4m = 8

So, we have

m = -2

Next, we have

2(-2) + c = 12

Evaluate

c = 16

Recall that

y = mx + c

So, we have

y = -2x + 16

Hence, the variable y in terms of x is y = -2x + 16

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Mean Value Theorem is a theorem that finds the point(s) on a function where the average rate of change of the function is equal to the instantaneous rate of change of the function.

If the mean value theorem applies to a function on a given interval, then there must be a point in that interval where the instantaneous rate of change is equal to the average rate of change. For the function \(f(x) = e^x\) on the interval [0, 7], the mean value theorem applies since the function is continuous on that interval and differentiable on (0, 7).

According to the mean value theorem, there must exist a point c in the interval [0, 7] where the slope of the tangent line to the function is equal to the average rate of change of the function on that interval. The average rate of change is given by: \(f(7) - f(0) / 7 - 0 = (e^7 - e^0) / 7\)

\(= (e^7 - 1) / 7T.\)

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The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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Answer: NOT Parallel because 98 /= 82  (Alternate angles are equal)

Answer:

3

Step-by-step explanation:

We were given that:

The iguana is 42cm at birth

It increases by 12% every week; r = 12% = 0.12

The number of weeks is represented by ''x'' & the length of the Iguana is represented by ''y''

This function is represented by the expression below:

Answer:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Step-by-step explanation:

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

A quadratic equation with -1 and 5 as its roots is x^2 - 4x - 5 = 0 by multiplying the terms.

The roots of a quadratic equation are the values of the variable that satisfy the equation. They are also known as the "solutions" or "zeros" of the quadratic equation.

Derive factor from the roots

x = -1    and    x = 5

x + 1 = 0  and  x - 5 = 0

Now, (x+1)(x-5) = 0

 x(x - 5) + 1(x - 5) = 0

x^2 - 5x + x - 5 = 0

 x^2 - 4x - 5 = 0

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