The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume

A student with a GPA of 2.57 is estimated to have worked approximately 15 hours each week.

To estimate the number of hours worked each week for a student with a GPA of 2.57, we can substitute the GPA value into the equation G = -0.0007h^2 + 0.011h + 3.01, where G represents the GPA and h represents the number of hours worked.

By substituting G = 2.57 into the equation, we get:

2.57 = -0.0007h^2 + 0.011h + 3.01

To find the approximate number of hours worked, we can solve this quadratic equation. However, since we are asked to round the answer to the nearest whole number, we can use estimation techniques or software to find the value.

Using estimation or a quadratic solver, we find that the approximate number of hours worked each week for a student with a GPA of 2.57 is around 15 hours. Please note that this is an estimate based on the given equation and the specific GPA value. The actual number of hours worked may vary depending on various factors and individual circumstances.

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To convert 3.0 m/s^2 to ft/h^2, we can use the following conversion factors:

1 meter = 3.28084 feet

1 second = 3600 hours

First, let's convert the acceleration from meters per second squared to feet per hour squared:

3.0 m/s^2 x (3.28084 ft/m)^2 x (3600 hr/s)^2 = 31,317.2 ft/hr^2

Therefore, 3.0 m/s^2 is equal to approximately 31,317.2 ft/hr^2.

Answer:

Step-by-step explanation:

Answer:

there is 16.08 foot high does the ladder reach on the building

Step-by-step explanation:

The computation of the high does the ladder reach on the building is shown below:

Given that

length of the ladder = 17 ft

angle -between the ground and the ladder = 75 degrees

Based on the above information

Here we used the trig-ratio to calculate the same

\(Sin \theta = \frac{oppo}{hyp} \\\\Sin 71^{\circ} = \frac{h}{17}\)

0.946 × 17 = h

The height is 16.08 foot

Hence, there is 16.08 foot high does the ladder reach on the building

The provided system is controllable and the rank of C = 2.

To determine the controllability of the system, we will use the controllability matrix and check its rank.

Provided system dynamics:

\(\[\dot{\bar{x}}(t) = \begin{bmatrix} 3 & 1 \\ 0 & -2 \end{bmatrix} \bar{x}(t) + \begin{bmatrix} 0 \\ 1 \end{bmatrix} u(t)\]\)

\(\[y(t) = \begin{bmatrix} 1 & 0 \end{bmatrix} \bar{x}(t) + [0] u(t)\]\)

(a) Controllability analysis:

The controllability matrix is defined as:

\(\[C = \begin{bmatrix} B & AB \end{bmatrix}\]\)

where:

\(\[A = \begin{bmatrix} 3 & 1 \\ 0 & -2 \end{bmatrix}\]\)

\(\[B = \begin{bmatrix} 0 \\ 1 \end{bmatrix}\]\)

Calculating the controllability matrix:

\(\[C = \begin{bmatrix} B & AB \end{bmatrix} = \begin{bmatrix} 0 & 3 \\ 1 & -2 \end{bmatrix}\]\)

Now, we check the rank of the controllability matrix C.

If the rank is equal to the dimension of the state space (2 in this case), then the system is controllable.

Using the rank function, we obtain that the rank of C is 2.

Since the rank of C is equal to the dimension of the state space, the system is controllable.

(b) Finding the left eigenvectors:

To obtain the left eigenvectors, we need to calculate the eigenvectors of the transpose of the system matrix A.

The transpose of A is:

\(\[A^T = \begin{bmatrix} 3 & 0 \\ 1 & -2 \end{bmatrix}\]\\\)

Calculating the eigenvectors of \(A^T\), we obtain the eigenvalues and eigenvectors:

Eigenvalue λ1 = 3:

Eigenvector v1 = \(\[\begin{bmatrix} 0 \\ 1 \end{bmatrix}\]\)

Eigenvalue λ2 = -2:

Eigenvector v2 = \(\[\begin{bmatrix} 1 \\ -1 \end{bmatrix}\]\)

(c) Eigenvector-Controllability test:

To verify controllability using the Eigenvector-Controllability test, we need to check if the matrix M is invertible, where:

\(\[M = \begin{bmatrix} v1 & A*v1 \end{bmatrix}\]\)

In this case:

\(\[M = \begin{bmatrix} 0 & 3 \\ 1 & -2 \end{bmatrix}\]\)

Calculating the determinant of M, we obtain that |M| = -3.

Since the determinant of M is non-zero (-3 ≠ 0), M is invertible, which confirms the controllability of the system.

Therefore, the system is controllable.

Since the system is controllable, it is also stabilizable.

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If the dimensions of trapezoid JKLM are multiplied by a scale factor of f to create trapezoid J'K'L'M' "The area of trapezoid J'K'L'M' is f times the area of trapezoid JKLM." Therefore, option A is correct.

When you multiply the dimensions of a trapezoid by a scale factor, the area of ​​the resulting trapezoid is equal to the square of the scale factor multiplied by the area of ​​the original trapezoid. In this case, the scaling factor is f, so the area of ​​trapezoid J'K'L'M' is f² times the area of ​​trapezoid JKLM.

When scaling a trapezoid, the base perimeter, angle, and length can change, depending on the specific value of the scale factor and the dimensions of the original trapezoid. 

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The mean of the lognormal distribution is approximately 244.69, the variance is approximately 102981.8, the standard deviation is approximately 320.91, and the probability P(Y < 91) is approximately 0.31.

If X is a random variable with normal distribution , then Y = exp(X) has a log-normal distribution. Similarly if Y is log-normally distributed, then X = log() is normally distributed.

Given that

μ = 5

σ = 1

The mean and variance of the lognormal distribution is given by

Mean, E(Y)= exp( μ+ (σ²/2))

= exp ( 5+ (1/2))

= exp (11/2)

= exp(5.5)

=244.69

var (Y)=(e°² -1)e²μ+σ²

=(e¹ -1) e²⁽⁵⁾⁺¹

=(e¹-1)e¹¹

= 1.72x59873.14

= 102981.8

Standard deviation of Y in normal distribution is given by

SD (Y)=√var (Y)

= √102981.8

=320.91

P(Y <91) = P(eˣ <91)

= P(X < In (91))

= P(X <4.51)

= P (((X-μ)/σ) < (4.51-μ)/σ))

= P(z < (4.51-5) / 1)

= P(Z < (-0.49))

=0.31

Therefore, the mean of the lognormal distribution is approximately 244.69, the variance is approximately 102981.8, the standard deviation is approximately 320.91, and the probability P(Y < 91) is approximately 0.31.

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Answer:

y=3x

Step-by-step explanation:

3 is telling how many centimeter she knits per NIGHT, so x will be perfect for 3 because x will be the number of night. Y will be the answer because 3x will show the total length of the knit

If the probability of a dancing lady accepting an invitation to dance is 0.18.The accepted number of ladies asked before is 7.14 .

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

According to the above discussion:

P{x(bar) (0.18)} = 0.07142371

                       = 7.14%

Therefore, the expected number is 7.14%.

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You calculate wall-length like this.

Measure the length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length. Subtract areas that will not be covered.

Answer: x = - 72

Step-by-step explanation: coz I juss know

x= -72

6•x/6= -6•12.

x= -6•12

x=-72

Answer:

-1/11

Step-by-step explanation:

if this is one of the answer choices.

Answer:

The next step is to draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

The line drawn in the above step, from the two labelled points is the perpendicular bisector of the segment

Step-by-step explanation:

To draw a perpendicular bisector of a segment, we have;

1. Ensure the compass is opened to more than half of the length of the segment to be bisected

2. Draw arcs of the same radius with center at the ends of the line to be bisected

3. Label the points where the arcs drawn from both ends cross each other on opposite sides of the line

4. Draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

5. The line so drawn from the two labelled points is the perpendicular bisector of the segment.

Answer:

345 people can board the ship.

Answer:

7

Step-by-step explanation:

i know

given,

measure of sides of the square = 12 cm

we know, diagonal

d = a√2

now,

d = 12√2

d = 16.970

a/q we have to round the answer to the nearest centimetres

so,

it is 17 cm

hope this answer helps you dear! take care!

Answer:

3,500 + 750 = 4,250

Weight = (3,500 / 4,250)^2 * 180 = 0.678200692 * 180 =

122.08 pounds

Step-by-step explanation:

Answer:

B. \(b \leq 1\frac{7}{10}\)

Step-by-step explanation:

Isolate b in order to solve the inequality. Subtract \(\frac{9}{5}\) on both sides of the inequality, then simplify. (You will need to convert the fractions in order to subtract and simplify further.)

\(\frac{7}{2} \geq b + \frac{9}{5} \\\frac{7}{2} -\frac{9}{5} \geq b + \frac{9}{5} -\frac{9}{5} \\\frac{35}{10} -\frac{18}{10}\geq b\\\frac{17}{10} \geq b\\1\frac{7}{10} \geq b\)

Thus, \(b \leq 1\frac{7}{10}\).

Answer:

b

Step-by-step explanation:

The expected probability of drawing a ball with the number five from the box is 4/29.

To calculate the expected probability of drawing a ball with the number five from the box,

we need to divide the number of times a ball with the number five was withdrawn by the total number of withdrawals.

In this case, the number of times a ball with the number five was withdrawn is 4, and the total number of withdrawals is 29.

Expected probability

= Number of times number five was withdrawn / Total number of withdrawals

= 4 / 29

Therefore, the expected probability of drawing a ball with the number five from the box is 4/29.

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The graph is a downward-opening parabola opening downward with its vertex at (2,0). Therefore, the correct option is C.

The equation y = -16t^2 + 64t + 16 represents the path of a projectile launched from a 16-ft-tall tower. To determine the correct graph, we can analyze the equation. The coefficient of t^2 (-16) is negative, indicating a downward-opening parabola. The coefficient of t (64) determines the horizontal shift of the graph, and in this case, t = 4 represents the maximum height of the projectile. The constant term (16) represents the initial height of the tower.

Considering these factors, we find that the correct graph of the equation is option C. It depicts a downward-opening parabola with its vertex at (2,0). The parabola starts at an initial height of 16 ft (the tower's height) and descends symmetrically from its vertex.

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Answer:

x=10

Step-by-step explanation:

Using Pythagoras theorem

H^2=O^2+A^2

26^2=24^2+A^2

676= 576+A^2

676-576= A^2

100= A^2

square root both sides

10= A

Therefore, x=10

Answer:

  x = 10.67

Step-by-step explanation:

The triangles shown are similar, so corresponding sides are proportional. This lets us write a relation that can be solved for x.

For the given figure, we can write the proportion ...

  AB/CA = DB/ED . . . . . . where DB = ED +BE

  (3x-4)/12 = (24 +3x)/24 . . . . . . substitute given values

Multiplying by 24 gives ...

  2(3x -4) = 3x +24

  6x -8 = 3x +24 . . . . . eliminate parentheses

  3x = 32 . . . . . . . . add 8-3x

  x = 32/3 = 10 2/3 ≈ 10.67 . . . . . divide by 3 and convert to decimal

The value of x to the nearest hundredth is 10.67.

Let the missing angle be ∠y . Then :-

∠y =∠115°

Their measure will be equal as they are alternate interior angles whose angle measure will be equal when on two parallel lines with a transversal .

Therefore , the missing angle = 115° .

Let the missing angle be ∠x . Then :-

∠x = ∠66°

Their measure will be equal as they alternate interior angles .

Therefore , the ,measure of the missing angle is = 66° .

Let the missing angle be ∠m . Then :-

∠m + ∠50° = 180°

∠m = 180 - 50

∠m = 130°

The sum of these two angles will be equal to 180° as they are interior angles on the same side of transversal .

Therefore , the measure of the missing angle will be = 130° .

Let the missing angle be ∠n . Then :-

∠n + ∠105° = 180°

∠n = 180 - 105

∠n = 75°

The sum of these two angles will be will be equal to 180° as they are interior angles on the same side of transversal .

Therefore , the measure of the missing angle will be = 75° .

Answer:

5) 115- alternate interior angles

6) 66 - alternate interior angles

7) 130 - consecutive interior angles

8) 75 - consecutive interior angles

Step-by-step explanation:

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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Given that dimensions of the rectangular prism are as follows:

length = 36 cmwidth = 18 cmheight = 6 cm

And the interior of the cereal bowl is a half sphere with a radius of 6 cm.

Let us find the volume of the cereal bowl: Volume of hemisphere =

\(2/3 πr³= 2/3 × π × 6³= 2/3 × π × 216= 452.389\)

Volume of hemisphere = 1/2 × 452.389= 226.194 cubic cm

Now, find the volume of 9 bowls as follows:

Volume of 1 bowl = 226.194 cubic cm

Volume of 9 bowls = 9 × 226.194= 2035.746 cubic cm

Now, find the volume of the rectangular prism as follows:

Volume of rectangular prism =

\(l × b × h= 36 × 18 × 6= 3888 cubic cm\)

Therefore, comparing the volume of the 9 bowls and the rectangular prism, we haveVolume of 9 bowls =

2035.746 cubic cmVolume of rectangular prism =

3888 cubic cm

Since, 3888 > 2035.746

Therefore, Pam has enough cereal to completely fill 9 bowls.

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In all cases, the sample size cannot be determined using the provided formulas and assumptions.

a. When trying to determine the sample size with 95% certainty that a sample of 1,500 invoices will contain no unsampled variations, the formula results in an undefined value due to division by zero. A finite sample size cannot be determined using this approach.

b. By replacing the heuristic 0.25 with p(1-p), where p is the proportion of variance, the modified formula for sample size also leads to an undefined value. It is not possible to determine a finite sample size using this modified approach.

c. If the Analyst states that 1 in every 12 invoices varies from the norm, the modified formula still results in an undefined value for the sample size.

d. If the population of 1,500 invoices is increased to 15,000 invoices, assuming the same certainty factor and acceptable error, the sample size would be proportional to the population size. However, since the original sample size calculation was undefined due to division by zero, the new sample size would also be undefined or infinite.

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Answer:

where is the question i do not see a question but if you provide me with one i will be more than happy to help you!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It is A because A can type 50 words in a minute and B only types 40 words in a minute and 50 words > 40 words