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The height of the cylinder is 119/22 inches or 5.41 inches.

The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.

Given here: Volume of the cylinder = 1¹/₁₆ in³ and radius of 1/4

We know the volume of the cylinder is equal to

V=πr²h

17/16 = 22/7 × 1/16×h

h=17×7 /22

h=119/22

h=5.41 inches

Hence, The height of the cylinder is 119/22 inches or 5.41 inches.

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The answer is B, 119/22 inches

The values of the inverse function in radians is 1.27

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

tan -¹(3.23)

Using the above as a guide, we have the following:

arctan(3.23)

Using a calculator, we have

arctan(3.23) = 1.27 radians

Hence, the values of the inverse function in radians is 1.27

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The inverse matrix is (b) [tex]\left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]

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

x + 2y + 5z = 14

3x + 5y + 9z = -1

x + y - 2z = 6

When represented as a matrix, we have

[tex]\left[\begin{array}{ccc}1&2&5\\3&5&9\\1&1&-2\end{array}\right][/tex]

The determinant is calculated as

D = 1 * (5 * -2 - 9 * 1) - 2 * (3 * -2 - 9 * 1) + 5 * (3 * 1 - 5 * 1)

Evaluate

D = 1

This means that the matrix is invertible

Next, we calculate the cofactor elements

5 * -2 - 9 * 1 = -19

3 * -2 - 9 * 1 = -15

3 * 1 - 5 * 1 = -2

2 * -2 - 5 * 1 = -9

1 * -2 - 5 * 1 = -7

1 * 1 - 2 * 1 = -1

2 * 9 - 5 * 5 = -7

1 * 9 - 5 * 3 = -6

1 * 5 - 2 * 3 = -1

So, we have

   [tex]\left[\begin{array}{ccc}-19&-15&-2\\-9&-7&-1\\-7&-6&-1\end{array}\right][/tex]

Next, create the adjoint or the adjugated matrix

[tex]A = \left[\begin{array}{ccc}-19&15&-2\\9&-7&1\\-7&6&-1\end{array}\right][/tex]

Transpose the adjoint

[tex]A^T = \left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]

Divide by the determinant

[tex]A^T = \left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]

Hence, the inverse is (b) [tex]\left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right][/tex]

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a) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)

b) The general solution is: I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)

c) The general solution is: I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L)

a) When E(t) = E0u(t) (where u(t) is the unit step function), the solution to the differential equation L *(dI/dt) +RI = E0u(t) can be found using the method of partial fraction expansion.

The general solution is:

I(t) = (E0/R) * (1 - exp(-Rt/L)) * u(t)

b) When E(t) = E0 8(t) (where 8(t) is the impulse function), the solution to the differential equation L *(dI/dt) +RI = E0 8(t) can be found using Laplace transforms.

The general solution is:

I(t) = (E0/R) * (1 - exp(-Rt/L)) * 8(t)

c) When E(t) = E0 sin wt, the solution to the differential equation L *(dI/dt) +RI = E0 sin wt can be found using Laplace transforms or by solving the characteristic equation.

The general solution is:

I(t) = (E0/sqrt(R^2 + (Lw)^2)) * (sin wt + (R/Lw) * cos wt) * exp(-Rt/L

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The expression for total cost per month is 30(100000+2000f).

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

The standard deviation formula is σ = √∑(xi-μ)²/N

A) The expression for total cost per month

Let the number of flites be f.

Total cost = 30(100000+2000f)

B) The expression for total revenue per month

Rise airlines has the current capacity to fly a mean of 15 flites a day with a standard deviation of 12.

So, total revenue per month

= 30(100000+2000×15)

= $3,900,000

C) Here, σ=12, μ=15, N=60

σ = √∑(xi-μ)²/N

12= √∑(xi-15)²/60

144=(xi-15)²/60

8640=(xi-15)²

xi-15=92.95

xi=108

Therefore, the expression for total cost per month is 30(100000+2000f).

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There are 1365 different ways to pick a president, treasurer, and secretary from a club of fifteen people.

The number of ways to pick a president, treasurer, and secretary from a club of fifteen people can be calculated using the formula for combinations:

[tex]C(n,r) = n! / (r! (n-r)!)[/tex]

Where n is the number of people in the club and r is the number of positions to be filled.

In this case, we want to calculate the number of ways to choose 3 people from a group of 15, so n = 15 and r = 3.

Plugging these numbers into the formula, we get:

[tex]C(15,3) = 15! / (3! (15-3)!) = 15! / (3! 12!) = 15*14*13 / (3*2*1) = 1365[/tex]

Therefore, there are 1365 different ways to pick a president, treasurer, and secretary from a club of fifteen people.

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Using dynamic programming, a recurrence relation can be used to compute the minimum edit distance between two strings.

The following are the base case(s) for computing EDIT-DIST(A, B):

If either string A or string B is empty, the cost of transforming string A to string B is the other string's length. For example, if A = "" and B = "ALGORITHM," then EDIT-DIST(A, B) = 8, because A to B requires 8 insertions.

The following is the recurrence relation for computing EDIT-DIST(A, B):

Let L(i, j) denote the shortest edit distance between string A's first I characters and string B's first j characters. Then,

L(i, j) = min { L(i - 1, j) + cd, L(i, j - 1) + ci, L(i - 1, j - 1) + cs(if Ai != Bj) }

where:

L(i - 1, j) + cd is the cost of deleting the last character of A,

L(i, j - 1) + ci is the cost of inserting a character in A to match the last character of B,

L(i - 1, j - 1) + cs is the cost of substituting the last character of A with the last character of B.

The above recurrence relation can be used to compute the minimum edit distance between two strings using dynamic programming.

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The function notation for A would be A(x) = y

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

This means that

The function can be expressed as

y = A(x)

This implies that:

The function A relates x and y

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Complete question

A is a relationship between two variables x and y such that every input x produce exact one output y​. What is the function notation of A

30. Angle 1 and angle 9 are equal to each other. Then the correct option is C.

31. The value of the expression x + y will be 165°. Then the correct option is C.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

30.  Angle 1 and angle 9 are the corresponding angles. Then they are equal to each other.

Thus, the correct option is C.

31.  Angle x and angle 55° are the corresponding angle.

x = 55°

And angle 70° and angle (180° - y) is the corresponding angle. Then the equations are given as,

70° = 180° - y

y = 110°

Then the value of the expression x + y is given as,

x + y = 55° + 110°

x + y = 165°

Thus, the correct option is B.

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Random assignment minimizes bias between experimental and control groups because it ensures that each group has an equal chance of receiving any given treatment.

Random sampling minimizes bias between a sample and a population because it ensures that each member of the population has an equal chance of being included in the sample.

Random assignment and random sampling are both used to minimize bias between different groups and populations, ensuring that each group or member has an equal chance of receiving any given treatment or being included in a sample.

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Answer:

The equation to represent the given statement is:

(7/2) + (4 * x) < 1

We can simplify the equation as follows:

(7/2) = 3.5

And then:

3.5 + (4 * x) < 1

Finally:

3.5 - 1 < - (4 * x)

2.5 < - (4 * x)

Dividing both sides by -4:

-2.5/4 > x

-0.625 > x

Step-by-step explanation:

This means that for the equation to be true, the value of x must be less than -0.625.

Answer:

0.32

Step-by-step explanation:

The discrete probability distribution of 4 which is given as P(4) is 0.22.

In order to make a discrete probability distribution, the sum of all probabilities must equal 1. We can calculate the missing probability P(4) by subtracting the sum of the known probabilities from the value 1. So,

P(4) = 1 - (0.28 + 0.36 + 0.14)

= 1 - 0.78

= 0.22.

A discrete probability distribution is a mathematical function that assigns a probability to each outcome of a discrete random variable. In this case, the random variable is the value of x, and the corresponding probabilities are P(x).

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Complete Question:

Determine the required value of the missing probability to make the distribution a discrete probability distribution.

x    P(x)

3   0.28

4   ?

5   0.36

6   0.14

P(4) = ______ ?

The solution is, 0.75 can be written as fraction = 3/4.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

A terminating decimal, such as 0.75, has an exact number of nonzero digits.

so, it can be written as fraction

0.75

=75/100

=3/4

Hence, The solution is, 0.75 can be written as fraction = 3/4.

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The rule for function g is:

g(x) =   (x + 2)⁴ + 1

And this is a translation of 2 units to the left of f(x).

Here we know that the function f(x) is:

f(x) = x⁴ + 1.

And function g is written as:

g(x) = f(x + 2)

Replacing f(x) we will get:

g(x) =  (x + 2)⁴ + 1

That is the rule for g(x).

Now let's identify the transformation.

We know that a horizontal shift of N units is written as:

g(x) =f(x + N)

if N > 0 the shift is to the left.

if N < 0 the shift is to the right.

Here we have:

g(x)=f(x+2)

So this is a shift of 2 units to the left.

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Answer:

13 ft

-----------------------------

Area of the cross-section of the first story is:

Area of the cross-section of the second story is the sum of rectangular and triangular sections:

Since both story's have same cross-section area, we have equation:

The height of the second story is 13 inches.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the first story has length=30 inches and width=8 inches.

Now, area of the cross-section of the first story is

A = Length×Width

A = 30×8

A = 240 square inches

Area of the cross-section of the second story is the sum of rectangular and triangular sections:

A = Length×Width + 1/2×Base×Height

A = 30×3 + 1/2×30×(h - 3)

A = 90 + 15(h - 3)

A = 90 + 15h - 45

A = 15h + 45

Since both story's have same cross-section area, we have equation:

15h + 45 = 240

15h = 195

h = 195/15

h = 13 inches

Therefore, the height of the second story is 13 inches.

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Answer:

Step-by-step explanation:

100 %.

[tex]\cfrac{5.688\times 10^{9}}{7.9\times 10^{2}}\implies \cfrac{5.688}{7.9}\times \cfrac{ 10^{9}}{ 10^{2}}\implies 0.72\times 10^{9-2} \\\\\\ 0.72\times 10^{7}\implies 7200000\implies 7.2\times 10^{6}[/tex]

Both of the solutions differ in their constant integration.

A. ∫6x³(x⁴+1)dx

if we apply the distributive property:

∫6x³(x⁴+1)dx = ∫(6x⁷+ 6x³)dx = (6/8)x⁸ + (6/4)x⁴ + C = (3/4)x⁸ + (3/2)x⁴ + C

A. ∫6x³(x⁴+1)dx

If we use the substitution

w = x⁴+1

⇒ dw = 4x³dx  ⇒  x³dx = (1/4)dw

we have

∫6x³(x⁴+1)dx = 6∫w*(1/4)dw = (6/4)∫w dw = (3/2) (w²/2) + C = (3/4)w² + C

returning the change we get

∫6x³(x⁴+1)dx = (3/4)(x⁴+1)² + C

For these answers, we can apply Notable Identities as follows

(x⁴+1)² = (x⁴)² + 2*x⁴*(1) + (1)² = x⁸ + 2x⁴ + 1

then

(3/4)(x⁴+1)² + C₂ = (3/4)(x⁸ + 2x⁴ + 1) + C = (3/4)*x⁸ + (3/2)*x⁴ + (3/4) + C

We can assume (3/4) + C as a constant, then

∫6x³(x⁴+1)dx = (3/4)*x⁸ + (3/2)*x⁴ + C

Both of the solutions differ in their constant integration.

Both solutions are primitive of the same function, which must only fulfill a condition that is to differentiate into a constant, and in this case, they fulfill it.

It is not usual that using different methods of integration obtain different primitives, but it is not uncommon, there are quite a few known cases in which this happens and absolutely nothing happens.

It is normal. Two functions that differ in a constant have the same derivative and therefore, both functions are primitive of that same derivative.

C is often forgotten as a result.

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The probabilities are equal, the expected time until the buzzer goes off simplifies to E(X) = 40.5.

Let X be a random variable representing the time until the buzzer goes off. X follows a uniform distribution, since any time between 20 and 60 seconds is equally likely. This can be represented by the formula P(X=x) = 1/41, where 41 is the total number of possible times (41 = 60 - 20 + 1).

Using this formula, the probability of the buzzer going off at any particular time can be calculated. For example, the probability of the buzzer going off at 23 seconds is P(X=23) = 1/41. The expected time until the buzzer goes off can also be found by taking the sum of each possible time multiplied by its individual probability. This is calculated as E(X) = Σ(x*P(X=x)). Since all the probabilities are equal, the expected time until the buzzer goes off simplifies to E(X) = 40.5.

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The rule is a linear equation:

y = 2x + 1

We want to write an expression that represents the following rule, it is:

"double the input, then add 1"

The input is represented by the variable x, so if we double it and then we add 1, the rule will be:

y = 2x + 1

So we have a linear equation.

And, using the notation on the image, we can write this as:

x → 2x + 1 → y

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The rule of functions to solve for C(N(h)) is composition of functions. The cost when h = 8 hours is $3680.

To solve C(N(h)), the rule used is composition of functions, where the output of one function N(h) is used as the input to another function C(x).

First, evaluate C(x) to get its output and then plug that output into N(h) to get the final output.

Given the two functions, the cost in dollars to produce x shovels, C(x) = 12x + 450, and the number of shovels that can be produced in h hours, N(h) = 40h, we can find the cost when h hours of production time is used by finding C(N(h)).

To find C(N(h)), we first find N(h) to get the number of shovels produced in h hours and then plug that into C(x) to find the cost:

C(N(h)) = C(40h) = 12(40h) + 450 = 480h + 450

So, the rule for C(N(h)) is C(N(h)) = 480h + 450.

When h = 8 hours, the cost to produce shovels is given by C(N(8)) = 480(8) + 450 = 3680 dollars.

Therefore, it will cost $3680 to produce shovels in 8 hours.

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2. After the movie.

3. Because they left the dogs out.

1. I missed the game.

4. They left the dogs out.

5. Employees leave frequently at the casino.

An independent clause is a combination or combination of words in which there is a subject, a verb, and has a complete and understandable meaning or meaning. In other words, an independent clause is a clause that can stand alone.

There are special features in an independent clause that we must know. The characteristics of an independent clause are as follows:

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The statement (p v ~q) -> (r v q) can be reworded as: "If either p is true or not q is true, then either r is true or q is true."

A conditional statements are made up of two parts, a hypothesis (represented by p) and a conclusion (represented by q).. We will set down all potential combinations of truth values for our hypothesis and conclusion in a truth table and use those to determine the conditional statement's overall truth.

When a set of conditions are satisfied, a conditional assertion is judged to be true. Sometimes called if-then statements, they begin with a hypothesis and end with a conclusion. For instance, you might explain to a friend that getting a sunburn happens if you walk outside without sunscreen.

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According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.

To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.

According to the above, the divisions would be:

According to the above, Brad was the one who scored the most goals.

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19. We can see here the wrong statement is:

B. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market.

20. D. All of the above reveals basic economic question that every economy should try to resolve.

21. The statement that commits a post-hoc fallacy is: B. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward.

22.  From the PPF the law of increasing opportunity cost is implied by

A. The negative slope of the curve

A logical fallacy known as post hoc occurs when one occurrence is assumed to be the reason for a subsequent event just because it happened earlier (also known as post hoc, ergo propter hoc).

We see here that the given answers above are actually correct.

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The answers to the questions are illustrated below with easy explanations.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

1. a. The graph of the function remains constant after 14 seconds so her walk took 14 seconds.

b. She traveled 14×4 = 56 meters in total as distance = speed×time.

c. She ends up (4 - 0.5)m = 3.5m away from her starting point.

d. She stopped when the graph of the function remains constant and it is from 5 to 7 seconds and she completely stopped after 14 seconds.

e. No, She didn't walk in one direction as the graph is increasing and decreasing at different time intervals indicating motion in different directions and it is the net distance from her starting point.

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Answer:A and V

correct me if I’m wrong

Or give me more information about the question

Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are

x=s

y=1-4s

z=0

Derivatives of a function in parametric form: There are instances when rather than defining a function explicitly or implicitly we define it using a third variable. This representation is when a function y(x)  is represented via a third variable which is known as the parameter is a parametric form. A relation between x and y can be expressible in the form x = f(t) and y = g(t) is a parametric form representation with parameter as t

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\frac{dx}{dt}=1=x_t\\y_t=\frac{dy}{dt}=-4e^{-4t}\\\\Z_t=5-5t^4[/tex]

The tangent vector for all points  is

[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k\\\\v(0)=i-4j[/tex]

The vector equation of the tangent line is

(x,y,z0=(0,1,0)+s(i-4j)

The parametric equation for this line is

x=s

y=1-4s

z=0

The complete question is -

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t, y = e−4t, z = 5t − t5; (0, 1, 0) x(t), y(t), z(t) = t,1−4t,5t Illustrate by graphing both the curve and the tangent line on a common screen.

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Emmet ran 1/8 mile further than he walked.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Emmet ran 3/8 of a mile and walked 1/4 of a mile.

Therefore, The number of more miles he run than he walked can be obtained by subtracting the number of miles he walked from the number of miles he ran which is,

= (3/8 - 1/4) miles.

= (3 - 2)/8.

= 1/8 miles.

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