A two-digit number is formed at random using the digits 0,2,4 and 7 with repetition of digits allowed.List all the possible outcomes

The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)

For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.

3a-b over 5c, given that a=2, b=11 and c=½ .The answer is 1.6.

Given a = 2,

b = 11 and

c = 1/2,

we have to evaluate

3a - b/5c.

We know that a fraction is an expression of the form x/y, where x is the numerator and y is the denominator.

Therefore, 3a - b/5c

= 3(2) - 11/5(1/2)

= 6 - 11/5(0.5)

= 6 - 11/2.5

= 6 - 4.4

= 1.6

Thus, evaluating the expression 3a - b/5c

= 1.6

given that

a = 2,

b = 11, and

c = 1/2.

The answer is 1.6.

Therefore, the evaluation of the given expression is 1.6.

Note: As the question asks to evaluate the expression, we simply substitute the values of the given variables in the expression and simplify it to get the solution. The expression is to be evaluated, not to be solved for an unknown variable, therefore no further calculation is required.

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Slats Slattery will accumulate approximately $1,168,518 at the end of fifteen years. None of the given options match this amount, so the correct answer would be "None of these are correct."So the option " e" Is correct.



To calculate the accumulated amount, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the accumulated amount

P = the principal amount (initial investment)

r = annual interest rate (in decimal form)

n = number of times the interest is compounded per year

t = number of years

In this case, the principal amount (P) is $100,000, and Slats plans to invest an additional $50,000 per year for 10 years. The interest rate (r) is 5.25%, which is equivalent to 0.0525 in decimal form. The interest is compounded once per year (n = 1), and the total investment period is 15 years (t = 15).

First, let's calculate the accumulated amount from the additional investments:

Additional Investments = $50,000 × 10 = $500,000

Next, let's calculate the accumulated amount for the initial investment and the additional investments:

Accumulated Amount = $100,000 + $500,000 = $600,000

Now, we can use the compound interest formula:

A = $600,000 × (1 + 0.0525/1)^(1 × 15)

A = $600,000 × (1 + 0.0525)^15

A = $600,000 × (1.0525)^15

A = $600,000 × 1.94753

A ≈ $1,168,518

Therefore, Slats Slattery will accumulate approximately $1,168,518 at the end of fifteen years. None of the given options match this amount, so the correct answer would be "None of these are correct."So the option "e" is correct.

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The eigenvalues of [A] are λ1 = -1 and λ2 = 1, with corresponding eigenvectors [1, -1, 0] and [0, 0, 0], respectively.

To find the matrix for the linear transformation T, which reflects all vectors in R3 through the xy plane, we can consider the effect of T on the standard basis vectors e1, e2, and e3:

T(e1) = e1

T(e2) = e2

T(e3) = -e3

This tells us that the first two columns of the matrix for T will be the standard basis vectors e1 and e2, and the third column will be -e3. Thus, the matrix for T is:

[A] = [1 0 0;

0 1 0;

0 0 -1]

To find the eigenvalues and eigenvectors of this matrix, we can solve the characteristic equation det([A] - λ[I]) = 0, where [I] is the 3x3 identity matrix. This gives us:

\(det([A] - λ[I]) = det([1-λ 0 0; 0 1-λ 0; 0 0 -1-λ])\\= (1-λ)(1-λ)(-1-λ)\\= -(λ+1)(λ-1)^2\)

Therefore, the eigenvalues of [A] are λ1 = -1 (with algebraic multiplicity 1) and λ2 = 1 (with algebraic multiplicity 2).

To find the eigenvectors corresponding to these eigenvalues, we can solve the systems of equations ([A] - λ[I])v = 0 for each eigenvalue. For λ1 = -1, we have:

([A] + [I])v = [0 0 0]'

which gives us the equation:

x + y = z

Thus, the eigenvectors corresponding to λ1 are of the form [x, y, z] where x + y = z. One such eigenvector is [1, -1, 0].

For λ2 = 1, we have:

([A] - [I])v = [0 0 0]'

which gives us the equations:

x = 0

y = 0

z = 0

Thus, the eigenvectors corresponding to λ2 are all vectors of the form [0, 0, 0].

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Answer:

2 x^3 ( x-3)

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

5 (x+3)

Step-by-step explanation:

12 x^4 ( x-3) (x+5)

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

30x (x+3) (x+5)

Cancel the x+5

12 x^4 ( x-3)

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

30x (x+3)

Rewriting 12x^4 and 30x

6*2 x^3 *x ( x-3)

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

6*5 x (x+3)

Canceling 6x

2 x^3 ( x-3)

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

5 (x+3)

"if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.

The statement "if a, then b" is known as a conditional statement, which is a type of logical statement that is often used in mathematics and other fields. In this case, the statement means that if statement a is true, then statement b must also be true. If a is false, then the truth value of b is not relevant, as the statement is considered true regardless.

The statement "if a, then b" is often written as "a → b" using logical symbols. The symbol "→" is read as "implies" or "if-then".

For example, consider the statements "If it is raining, then the ground is wet" (a → b). This statement is considered true unless it is raining and the ground is not wet, which is a contradiction. If it is not raining, the truth value of "the ground is wet" is not relevant to the truth of the conditional statement.

In summary, "if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.

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Answer:

18%

Step-by-step explanation:

540$ is 18% of what he put towards the loan :))

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong

The Laurent series of the function f(z) = 4sin(z/21) about the point z = 0 is given by the formula f(z) = Σ (a_n * z^n). Therefore, the Laurent series is valid for all complex numbers z except those that are a multiple of 2π(21).

To find the Laurent series of f(z) = 4sin(z/21) about the point z = 0, we can start by expanding sin(z/21) using its Taylor series expansion:

sin(z/21) = (z/21) - (1/3!)(z/21)^3 + (1/5!)(z/21)^5 - (1/7!)(z/21)^7 + ...

Now, multiply each term by 4 to get the Laurent series of f(z):

f(z) = 4sin(z/21) = (4/21)z - (4/3!)(1/21^3)z^3 + (4/5!)(1/21^5)z^5 - (4/7!)(1/21^7)z^7 + ...

This series is valid for values of z within the convergence radius of the Taylor series expansion of sin(z/21), which is determined by the behavior of the function sin(z/21) itself. Since sin(z/21) is a periodic function with a period of 2π(21), the Laurent series is valid for all complex numbers z except those that are a multiple of 2π(21).

In conclusion, the Laurent series of f(z) = 4sin(z/21) about the point z = 0 is given by the expression above.

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Answer:

30

Explanation

Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30

Answer:

the answer will be 30

Step-by-step explanation:

Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30

The molecular geometry of IF₄+ and IO₂F₂- are both see-saw.

However, SOF₄, SF₄, and XeO₂F₂ have different geometries - trigonal bipyramidal, square planar, and square pyramidal respectively. Therefore, the correct answer is "All of the following are see-saw except molecular geometry."

This question is testing the understanding of molecular geometry and its relationship to the number of lone pairs and bonding pairs around the central atom.

See-saw geometry has four bonding pairs and one lone pair around the central atom, while the other three compounds have different arrangements.

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complete question:

The molecular geometry of which of the  following are see-saw.(molecular  Geometry)

IF4+1

IO2F2−1

SOF4

SF4

XeO2F2

Using line tangent, the approximation for f(2.1) is 3.95

Given,

The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).

The equation be like;

y - f(a) / (x - a) = f'(a)

y = f'(a) (x - a) + f(a)

Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation

y = f'(2) (x - 2) + f(2)

y = -1/2 (x - 2) + 4

To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.

y = -1/2 (x - 2) + 4

y = -1/2 (2.1 - 2) + 4

y = -1/2 x 0.1 + 4

y = 3.95

That is,

The approximation for f(2.1) using line tangent is 3.95

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Answer:

50 mph

Step-by-step explanation:

Unit rate = 450/9 = 50 mph

The first box :

\(y = - \frac{1}{2}x - 2 \\ \)

_________________________________

The second box :

\(y = - 2\)

_________________________________

The third box :

\(y = 2x - 9\)

Step-by-step explanation:

Philipp Heinrich Scheidemann was a German politician of the Social Democratic Party of Germany. In the first quarter of the 20th century he played a leading role in both his party and in the young Weimar Republic. Wikipedia

Born: July 26, 1865, Kassel, Germany

Died: November 29, 1939, Copenhagen, Denmark

Party: Social Democratic Party of Germany

Spouse: Johanna Dibbern (m. 1889–1926)

Previous offices: Mayor of Kassel (1919–1925), Chancellor of the German Reich (1919–1919), More

Books: The Making of New Germany: The Memoirs of Philipp Scheidemann

Nationality: German, Weimar

Answer:

Step-by-step explanation:

The ratio 4:5 can be like a fraction.

Girls to boys, respectively, is 4:5.

This means for every 4 girls, there are 5 boys.

Now, to get an equivalent fraction you must multiply both the numerator and denominator by the same number.

In this problem, there are 20 girls, which represents the 4 in 4:5.

So we have 4 multiplying by what to get 20?

4x=20, x=5

Now, you must multiply the amount of boys by the same number you multiplied the girls.

5x5=25. There were 25 boys.

4/5=20/x

Properties of determinants are Reflection Property, Reliable scales Property, Scalar Multiple Property, Switching Property and All-zero Property.

1. Reflection Property: The determinant remains unchanged when its columns turn into rows and vice versa. The reflection property is what is used to describe this.

2. If every element in a row (or column) is zero, the determinant is zero, according to the all-zero property.

3. Reliable scales (Repetition) Property: If every element in a row or column is proportional to or identical to every element in another row, the determinant is zero (or column).

4. When any two of the determinant's rows (or columns) are exchanged, the sign of the determinant changes.

5. Scalar Multiple Property: If all of a determinant's components in a row (or column) are multiplied by a non-zero constant, the determinant is multiplied by that constant.

6. Factor Property: If a determinant Δ becomes zero when we put x = α, then (x – α) is a factor of Δ.

Hence this is all about determinants problems.

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The coordinates of the vertices of the polygon, given the scale factor and the coordinates of the original image, would be:

To find the coordinates of the new image, when a dilation happens at the origin, use the coordinates of the image and multiply it by the scale factor.

The coordinates of the image, shown on the graph are:

J = (- 5, 3 )

K = ( 2, 3 )

M = ( -5, -3 )

L = ( 2, - 3 )

The coordinates of the new image is therefore:

J ' = ( -5 , 3 ) x 1 / 2

= ( - 2.5, 1 . 5)

K ' = ( 2, 3 ) x 1 / 2

= ( 1, 1 . 5)

M' = ( -5, -3 ) x 1 / 2

= ( - 2.5, - 1. 5 )

L ' = ( 2, - 3 ) x 1 / 2

= ( 1, - 1. 5 )

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The sum formula for geometric sequence is Sn = a(1 - r^n) / (1 - r)

A unique kind of sequence is a geometric sequence. It is a sequence in which each term aside from the first term and is multiplied by a fixed number to obtain its subsequent term. To obtain the following term in the geometric sequence, one must multiply with a fixed term known as the common ratio, and one need only divide the term by the same common ratio to determine the previous term in the sequence.

There are infinite and finite geometric sequences. The formula for the same is Sn = a(1 - r^n) / (1 - r). Here Sn is the sum of the first n terms of the geometric sequence,  a is the first term of the sequence,  r is the common ratio between consecutive terms in the sequence and n is the number of terms in the sequence

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Answer:

What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.

Either:

4(5+4) Or

2(10+8)

Step-by-step explanation:

The probability that x is less than 2 is approximately 0.4866. The probability that x is greater than 3 is approximately 0.3528. The probability that x is less than 5 is approximately 0.6321. The probability that x is between 2 and 5 is approximately 0.1455.

The given probability density function is an exponential distribution with a rate parameter of λ = 1/3. The formula for P(x < x_0) is the cumulative distribution function (CDF) of the exponential distribution, which is given by:

F(x_0) = ∫[0,x_0] f(x) dx = ∫[0,x_0] 1/3 * 4 * e^(-x/3) dx

a. Write the formula for P(x < x_0):

Using integration, we can solve this formula as follows:

F(x_0) = [-4e^(-x/3)] / 3 |[0,x_0]

= [-4e^(-x_0/3) + 4]/3

b. Find P(x < 2):

To find P(x < 2), we simply substitute x_0 = 2 in the above formula:

F(2) = [-4e^(-2/3) + 4]/3

≈ 0.4866

Therefore, the probability that x is less than 2 is approximately 0.4866.

c. Find P(x > 3):

To find P(x > 3), we can use the complement rule and subtract P(x < 3) from 1:

P(x > 3) = 1 - P(x < 3) = 1 - F(3)

= 1 - [-4e^(-1) + 4]/3

≈ 0.3528

Therefore, the probability that x is greater than 3 is approximately 0.3528.

d. Find P(x < 5):

To find P(x < 5), we simply substitute x_0 = 5 in the above formula:

F(5) = [-4e^(-5/3) + 4]/3

≈ 0.6321

Therefore, the probability that x is less than 5 is approximately 0.6321.

e. Find P(2 < x < 5):

To find P(2 < x < 5), we can use the CDF formula to find P(x < 5) and P(x < 2), and then subtract the latter from the former:

P(2 < x < 5) = P(x < 5) - P(x < 2)

= F(5) - F(2)

= [-4e^(-5/3) + 4]/3 - [-4e^(-2/3) + 4]/3

≈ 0.1455

Therefore, the probability that x is between 2 and 5 is approximately 0.1455.

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Answer:

He paid $2.35 for each pair of socks.

An equation using the variable S is

$77.99 = 9S + (3 × $8.28) + $32

Step-by-step explanation:

Let S be the cost of a pair of socks

From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S

He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84

and he also purchase a pair of pants for $32

Since he spent a total of $77.99, we can write that

$77.99 = 9S + (3 × $8.28) + $32

Now, we can determine S, the cost of a pair of socks

$77.99 = 9S + (3 × $8.28) + $32

$77.99 = 9S + $24.84 + $32

$77.99 = 9S + $56.84

9S = $77.99 - $56.84

9S = $21.15

S = $21.15/9

S = $2.35

Hence, he paid $2.35 for each pair of socks.

Answer:

The midpoint is halfway between two end points.

The x value is halfway between the two x values and

the y value is also halfway between the two y values.

Add both the x and y coordinates and divide by 2.

Step-by-step explanation:

To find the x-coordinate of the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2.

To find the y-coordinate of the midpoint of a segment, add the y-coordinates of the endpoints and divide by 2.

Example:

Find the midpoint of the segment with endpoints (2, 8) and (-5, 12).

x-coordinate of the midpoint: (2 + (-5))/2 = -3/2

y-coordinate: (8 + 12)/2 = 30/2 = 15

Midpoint: (-3/2, 15)

Answer:

b

Step-by-step explanation:

Answer:

9 divided by 100 = 0.09 x 15 = 1.35 = 13%

PLs mark me brainliest

Answer:

60%

Step-by-step explanation:

You can first convert 9 out of 15 into 9/15. Then, you can find the percent of 9/15, which is 60% :)

~Happy Halloween!~

the answer is 10m deep after rising

Answer:

(-6 , 5)

Step-by-step explanation:

6x + 10y = 14

6(-6) + 10y = 14

-36 + 10y = 14

10y = 50

y = 5

The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:  105 of them are hummingbirds.

Step-by-step explanation:

I there are a total of 350  birds then 30% o 350 will give the number o hummingbirds.

350 of 30%

350 * 0.3 = 105

Answer:

314 cm

Step-by-step explanation:

The formula for the circumference is \(C=\pi d\), when d is the diameter.

\(C=\pi d\)

Plug in the given values

\(C=3.14*100\\C=314\)

Therefore, the circumference of the circle is 314 cm.

I hope this helps!