the volume of this cylinder is 2,769.48 cube inches. What is the height?
Use 3.14 and round your answer to the nearest hundredth

Answer:

680

Step-by-step explanation:

total percent=85%

total marks=800

obtain marks = total percent % 100 mutiply by total marks

Answer:

In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.

Step-by-step explanation:

Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.

Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.

To learn more about bubble sort : brainly.com/question/13161938

#SPJ11

From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

Learn more about geometric sequence:https://brainly.com/question/27852674

#SPJ1

Answer:

x = 5 ± √46

Step-by-step explanation:

\(-x^2 + 10x + 21 = 0\)

Take -1 common from L.H.S.

\(=> -1(x^2 -10x - 21) = 0\)

Take -1 to R.H.S.

\(=> x^2 - 10x - 21 = 0\)

Solve x using quadratic formula.

\(=> x = \frac{-(-10) + \sqrt{10^2 - 4 \times (-21) \times 1} }{2 \times 1} \: or \:\frac{-(-10) - \sqrt{10^2 - 4 \times (-21) \times 1} }{2 \times 1}\)

\(=> x = \frac{10 + \sqrt{100 + 84} }{2} \: or \:\frac{10 - \sqrt{100 + 84} }{2}\)

\(=> x = \frac{10 + \sqrt{184} }{2} \: or \: \frac{10-\sqrt{184} }{2}\)

\(=> x = \frac{10 + 2\sqrt{46} }{2} \: or \: \frac{10 - 2\sqrt{46} }{2}\)

\(=> x = (5 + \sqrt{46} ) \: or \: (5 - \sqrt{46} )\)

Answer:

2631 divided by 24 = 109.625

Step-by-step explanation:

The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.

2631 divided by 24 in decimal = 109.625

2631 divided by 24 in fraction = 2631/24

2631 divided by 24 in percentage = 10962.5%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.

SPANISH:

El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.

2631 dividido por 24 en decimal = 109,625

2631 dividido por 24 en fracción = 2631/24

2631 dividido por 24 en porcentaje = 10962,5%

Tenga en cuenta que puede utilizar nuestra calculadora de última generación anterior para obtener el cociente de dos enteros o decimales cualesquiera, incluidos 2631 y 24, por supuesto.

Los repetends, si los hay, se indican en ().

La conversión se realiza automáticamente una vez que el nominador, por ejemplo, 2631, y el denominador,

Answer:

First one- y = -13

Step-by-step explanation:

27 + y = 14 (Rearrange equation)

y = 14 - 27 (Combine like terms)

y = -13

Step-by-step explanation:

When f(x) > 0, the graph is above the x-axis.

Only -2 < x < -1 is above the x-axis. (A)

The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:

1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.

2. Find the cross product of PQ and PR.

3. Calculate the magnitude of the cross product.

4. Divide the magnitude by 2 to find the area of the triangle.

Step 1: Calculate PQ and PR

PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)

PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)

Step 2: Find the cross product of PQ and PR

PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)

Step 3: Calculate the magnitude of the cross product

|PQ x PR| = √( (99)² + (-15)² + (-25)² ) = √( 9801 + 225 + 625 ) = √(10651)

Step 4: Divide the magnitude by 2 to find the area of the triangle

Area = 0.5 * |PQ x PR| = 0.5 * √(10651) ≈ 51.61

So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

Learn more about area of triangle here:

brainly.com/question/19305981

#SPJ4

Complete question is below

Find the area of the triangle determined by the points p(1, 1, 1), q(-4, -3, -6), and r(6, 10, -9)

Answer: Banquet Brothers has better deal.

Step-by-step explanation:

Given: Banquet Brothers sell a tray with 48 servings of pasta for $60.

Cost per serving = \(\$\dfrac{60}{48}=\$\dfrac{5}{4}=\$\ 1.25\)

Cookin' Catering sells a tray with 30 servings of pasta for $72.

Cost per serving = \(\$\dfrac{72}{30}=\$\ 2.4\)

Since, Cost per serving in Banquet Brothers < Cost per serving in Cookin' Catering

So, Banquet Brothers has better deal.

In a fourth-grade class, students are making cookies to learn about fractions. They are measuring using measuring cups and spoons. This learning is best described as formal standard measurement.

A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.

Learn more about FSM:

https://brainly.com/question/2511082

#SPJ4

The height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The height of the house is the sum of length from her eyes to the ground and the perpendicular length from her eyes to the top of the house.

we shall represent the perpendicular length from her eyes to the top of the house with x so that;

tan 25° = x/11 {opposite/adjacent}

x = 11 × tan 25°

x = 5.1294

height of the house = 5 ft + 5.1294 ft

height of the house = 10.1294 ft

Therefore, the height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

Know more about angle of elevation here:https://brainly.com/question/2096694

#SPJ1

Possible question:

Figure out the height of the house using these measurements. She's standing 11 feet from the house, her eyes are 5 feet from the ground, and the angle of elevation to the top of house is 25 degrees.

Answer:

8°

Step-by-step explanation:

For exterior angle QRS, angles RPQ and PQR are its remote interior angles.

m<QRS = m<RPQ + m<PQR

4x - 15 = x + 1 + x - 2

2x = 14

x = 7

m<RPQ = x + 1 = 7 + 1 = 8

CSC can effectively manage the transition from metal halide bulbs to LED bulbs in the National Stadium, leveraging external expertise while building internal capabilities for ongoing maintenance and management.

When considering a project arrangement for changing the National Stadium's lighting from metal halide bulbs to LED bulbs, CSC can consider the following approach:

1. Project Planning and Needs Assessment:

CSC should conduct a thorough needs assessment to understand the requirements and goals of the lighting project. This assessment should include factors such as energy efficiency, lighting quality, maintenance costs, and environmental impact. Based on this assessment, CSC can define the scope, objectives, and desired outcomes of the project.

2. External Expertise and Vendor Selection:

Since CSC lacks expertise in lighting technologies, it is advisable to seek external expertise. CSC can engage a lighting consultant or hire a project management firm specializing in lighting projects. These professionals will have the necessary knowledge and experience to guide the project effectively. Additionally, CSC should identify and select reputable vendors who specialize in LED lighting installations.

3. Project Team Formation:

CSC should establish a project team consisting of both internal stakeholders and external experts. This team should include representatives from CSC's management, facilities department, and the hired lighting consultant or project management firm. The team should have clear roles and responsibilities assigned to ensure effective coordination and communication throughout the project.

4. Project Execution and Implementation:

The project team, led by the project management firm or lighting consultant, should develop a detailed project plan, including timelines, resource allocation, and budget. The plan should outline the installation process, coordination with vendors, and any necessary modifications to the stadium infrastructure. Regular progress meetings and reporting should be conducted to track the project's execution and address any issues or delays promptly.

5. Testing and Quality Assurance:

Before the complete transition to LED lighting, a thorough testing phase should be conducted. This should include pilot installations, where a specific section of the stadium is equipped with LED lighting for testing purposes.

This allows for performance evaluation and adjustments if needed. Quality assurance measures should be implemented to ensure that the new lighting system meets the desired standards and specifications.

6. Training and Knowledge Transfer:

As part of the project, CSC should ensure that relevant staff members receive training on the maintenance, operation, and troubleshooting of the LED lighting system. This will help CSC develop in-house expertise and minimize reliance on external parties for routine maintenance and minor repairs.

7. Monitoring and Evaluation:

After the LED lighting installation is complete, CSC should establish a monitoring and evaluation system to assess the performance, energy savings, and overall impact of the new lighting system. This data can be used for future decision-making and optimization of the lighting system.

To know more about management refer here:

https://brainly.com/question/32216947

#SPJ11

All solutions to the given problem regarding matrices have been explained and answered below.

We have been given the equations,

x + y - z = 2

x + 2y + z = 3

x + y + (k²-5) z = k

the augmented matrix for the given equations will be,

\(\left[\begin{array}{ccc|c}1&1&-1&2\\1&2&1&3\\1&1&(k^{2}-5)&k\end{array}\right]\)

After applying row operations we get the row-reduced form of the matrix, i.e.

\(\left[\begin{array}{ccc|c}1&0&0&\frac{5+k}{2+k} \\0&1&0&\frac{k}{2+k} \\0&0&1&\frac{1}{2+k}\end{array}\right]\)

For a matrix to be no solutions the rank of the matrix has to be lesser than the rank of the augmented matrix,

If we put k = -2, we get

\(\left[\begin{array}{ccc|c}1&0&-3&0\\0&1&2&0 \\0&0&0&1\end{array}\right]\)

∴ for k = -2, we get no solutions for the equations.

For a matrix to be having infinitely many solutions, the rank of the matrix has to be lesser than the no. of variables,

but for no values of k this condition is satisfied for the given equations,

∴ for no values of k, we get infinitely many solutions for the equations.

And for any other of k, the solutions will be unique.

Learn more about systems of linear equalities from,

https://brainly.com/question/21404414?referrer=searchResults

#SPJ4

\({\Large \begin{array}{llll} y=x^2+ax+b \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=-7 \end{cases}\implies -7=0^2+a(0)+b\implies \boxed{-7=b} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=7\\ y=0 \end{cases}\implies 0=7^2+a7+\stackrel{b}{(-7)}\implies 0=49+7a-7 \\\\\\ 0=42+7a\implies -42=7a\implies \cfrac{-42}{7}=a\implies \boxed{-6=a} \\\\\\ ~\hfill {\Large \begin{array}{llll} y=x^2-6x-7 \end{array}}~\hfill\)

now, let's get the "vertex" using the coefficients.

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-6}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -6}{2(1)}~~~~ ,~~~~ -7-\cfrac{ (-6)^2}{4(1)}\right) \implies \left( - \cfrac{ -6 }{ 2 }~~,~~-7 - \cfrac{ 36 }{ 4 } \right) \\\\\\ \left( 3 ~~~~ ,~~~~ -7 -9 \right)\implies {\Large \begin{array}{llll} (3~~,~-16) \end{array}}\)

Answer:

Yes

Step-by-step explanation:

Simplifying the equation, you get y= -x+4

The slope is -1, from -x, so the slope is negative

Feel free to comment if you have any questions! Your welcome btw :D

Answer:

Step-by-step explanation:

Let us solve for y and get the equation format y = mx + b where m is the slope's value.

We get  y = -x+4. Since m is negative, then the function does have a negative slope.

Hope that helps!

The solutions are that Two comparable triangles have proportional corresponding sides. And Two comparable triangles matching angles

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

For a regular polygon of any number of sides, therefore the sum of its exterior angle is 360°.

Given statements that the corresponding sides might be altered, they must still be proportionate.

The triangles will be congruent also, if they are.

But the angles must always line up otherwise the triangle's overall shape will change and it won't look the same.

Two comparable triangles must have proportional corresponding sides.

Two comparable triangles must matching angles match up.

To learn more about congruent click here:

brainly.com/question/7116550

#SPJ1

Answer:I’m trying to find that too

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A. rational numbers

Step-by-step explanation:

Use the definitions in order to categorize the numbers as either natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.

Rational Numbers, Real Numbers

Answer:

x ≥ 2

Step-by-step explanation:

8x + 3 ≥ 19

8x ≥ 19 - 3

8x / 8 ≥ 16 / 8

x ≥ 2

Answer:

Sure, I can solve for x:8x + 3 ≥ 19Subtracting 3 from both sides:8x ≥ 16Dividing both sides by 8:x ≥ 2Therefore, the solution is x ≥ 2.

Answer:

6 ..........................

Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.

A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.

In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.

Hence, Kristen is attempting to solve equation 0 = √(6x) - x.

Read more equations:

brainly.com/question/29115752

#SPJ4

The complete question is -

Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?

a. \(\sqrt{27+6x} =x\)

b. \(0=\sqrt{6x}-x\)

c. \(\sqrt{4-x}+9=0\)

d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)

Answer:

A = 8

B = -4

Step-by-step explanation:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

Read more about two-tailed test here:

https://brainly.com/question/4621112

#SPJ1

The smallest positive angle that is equivalent to A=343 degrees is 703 degrees.

To find the measure of the least positive angle that is coterminal with A, we need to determine the equivalent angle within one full revolution (360 degrees) of A.

A is given as 343 degrees. To find the coterminal angle within one revolution, we can subtract or add multiples of 360 degrees until we obtain a positive angle.

Let's subtract 360 degrees from A:

343 - 360 = -17

The result is a negative angle, so we need to add 360 degrees instead:

343 + 360 = 703

Now, we have a positive angle of 703 degrees, which is coterminal with 343 degrees.

The measure of the least positive angle that is coterminal with A is 703 degrees.

For more question on angle visit:

https://brainly.com/question/30693441

#SPJ8

The value of x in the ratio 5x : 9 = 7 : 3 is x = 21/5

From the question, the ratio is given as

5x : 9 = 7 : 3

Express the ratio, as a fraction

So, we have the following representation

5x / 9 = 7 / 3

Cross multiply the following expression

So, we have the following representation

3 * 5x = 9 * 7

Evaluate the products

15x = 63

Divide both sides by 15

So, we have

x = 63/15

Simplify the fraction

x = 21/5

Hence, the solution to the ratio is x = 21/5

Read more about ratio at

https://brainly.com/question/1781657

#SPJ1

Answer:

Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Step-by-step explanation:

We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.

This means the chance of success is p = 45% = 0.45

Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;

P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)

Where;

x is the number of possible successes

n is the number of trials

p is the chance or probability of success

C(n, x) is the number of possible combinations that could occur

This formula represents the binomial probability distribution formula.

So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Answer:

\(HD=5.5\)

Step-by-step explanation:

\(4(HD)=22 \implies HD=5.5\)