Which table is a nonlinear function?

Points lie on the graph of the inverse of f(x)=5x−2.

Hence, the correct option is C,E,F.

To find the points on the graph of the inverse of f(x), we need to switch the x and y coordinates of each point on the graph of f(x). Then, we can simplify the equation to isolate y and get the inverse function.

f(x) = 5x - 2

y = 5x - 2 (replace f(x) with y)

x = 5y - 2 (switch x and y)

x + 2 = 5y (add 2 to both sides)

y = (x + 2)/5 (divide both sides by 5)

So, the inverse function of f(x) is

\(f^{-1}\)(x) = (x + 2)/5

Now, we can substitute each point from the given options into the inverse function to see if it lies on the graph of the inverse of f(x).

1. (0, -2)

\(f^{-1}\)(0) = (0 + 2)/5 = 2/5

No, this point does not lie on the graph of the inverse of f(x).

2. (1, 3)

\(f^{-1}\)(1) = (1 + 2)/5 = 3/5

No, this point does not lie on the graph of the inverse of f(x).

3. (-2, 0)

\(f^{-1}\)(-2) = (-2 + 2)/5 = 0

Yes, this point lies on the graph of the inverse of f(x).

4. (2/5, 1)

\(f^{-1}\)(2/5) = (2/5 + 2)/5 = 6/25

No, this point does not lie on the graph of the inverse of f(x).

5. (0, 2/5)

\(f^{-1}\)(0) = (0 + 2)/5 = 2/5

Yes, this point lies on the graph of the inverse of f(x).

6. (3, 1)

\(f^{-1}\)(3) = (3 + 2)/5 = 1

Yes, this point lies on the graph of the inverse of f(x).

Therefore, the points that lie on the graph of the inverse of f(x) are (-2, 0),  (0, 2/5) and (3, 1),

Hence, the correct option is C,E,F.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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Answer:

1262(2)^x

Step-by-step explanation:

Answer:

carrect answer is : multiply 40x20

Answer:

D. Multiply 40 x 8

Step-by-step explanation:

The expressions when simplified are -9 - 2i and x = ±8i

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

(6 -7i) - (8 - 5i) - 7

When evaluated, we have

(6 -7i) - (8 - 5i) - 7 = -9 - 2i

Here, we have

6x² = -384

Divide by 6

x² = -64

Take the square roots

x = ±8i

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A final score of more than 92 earns an E, that means

E>92

A final score of 60 or less earns a U:

The inequality to represent Satisfactory grade, could be:

Answer:36

Step-by-step explanation:

Concept,

Two chords with a shared termination point on the circle make an inscribed angle in a circle. The vertex of the angle is this shared terminal point. An inscribed angle is equal to half the length of the intercepted arc.

Given,

We have been given a figure in which the line \(BD\) is the tangent to the circle at the point \(B\) and the measure of the arc \(AC\) is \(108^{\circ}}\). And also we have some options:

A. \(38^{\circ}}\)

B. \(18^{\circ}}\)

C. \(118^{\circ}}\)

D. \(72^{\circ}}\)

To find,

We have to choose the correct option which tells the measure of the angle of \(CBD\).

Solution,

In the figure, we can see that \(\angle ABC\) is an inscribed angle and we know that the inscribed angle is half of the measure of the intercepted arc.

And from the figure arc \(AC\) is the intercepted arc.

Thus, we can write

\(\angle ABC=\frac{\widehat{AC}}{2}\)

\(\angle ABC=\frac{108}{2}\)

\(\angle ABC=54^{\circ}\)

So, the measure of \(\angle ABC=54^{\circ}\).

Now given that \(BD\) is a tangent to the circle at the point \(B\).

Thus, we will get

\(\angle ABC+\angle CBD=90^{\circ}\)

\(54^{\circ}+\angle CBD=90^{\circ}\)

\(\angle CBD=90^{\circ}-54^{\circ}\)

\(\angle CBD=36^{\circ}\)

Thus, the measure of the angle \(CBD=36^{\circ}\).

So, the correct option is A. \(36^{\circ}\).

Answer: 1/5

Step-by-step explanation:

Answer:

\({ \sf{ \frac{1}{5} }} \\ \)

Step-by-step explanation:

\({ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ \)

Draw 5 new arcs from point D along DB the same distance apart as those on AC. Then the correct option is A.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Nelda is dividing AB into 6 congruent segments. She has reached the point shown.

Draw 5 new arcs from point D along DB the same distance apart as those on AC. Then connect each corresponding point on AC and BD. Then the correct option is A.

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The complete question is attached below.

Answer:

a. 1500 = 1000 × 1.05^x

b. 1500 = 1000 × 1.05^x

Divide both sides by 1000

1500/1000 = 1.05^x

Take the natural log of both sides

ln(1500/1000) = ln(1.05^x)

ln(1.5) = x ln(1.05)

x = ln(1.5) / ln(1.05)

x = 5.12 years

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is 125. So, Option C is correct.

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere and π is a mathematical constant approximately equal to 3.14159.

If the radius of sphere B is five times the radius of sphere A, then we can express this relationship mathematically as r₂ = 5r₁, where r₁ is the radius of sphere A.

Using the formula for the volume of a sphere, we can then calculate the ratio of the volume of sphere B to the volume of sphere A as follows:

V₂/V₁ = [(4/3)πr₂^3] / [(4/3)πr₁^3]

= (r₂/r₁)^3

= (5r₁/r₁)^3

= 5^3

= 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is 125. This means that sphere B has a volume that is 125 times larger than the volume of sphere A, because the relationship between the volumes of spheres is proportional to the cube of their radii. Therefore, option C is correct.

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Complete question is:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2.

2x-3y=6

Intercepts

x= 3

y= 2

ordered pairs: (6,2) (1.2,-1.2)

The plane will reach an altitude of 21,000 feet approximately 29.2 minutes after lift off. Rounded to the nearest whole minute, the plane will be at an altitude of 21,000 feet 37 minutes after lift off.

To determine the number of minutes after lift off when the plane reaches an altitude of 21,000 feet, we need to solve the equation a = 21,000, where "a" represents the altitude in feet. By substituting the altitude value into the equation and solving for the variable, we can find the number of minutes.

The given equation represents the altitude "a" of the plane in feet, given by a = 3480 + 600t, where "t" represents the time in minutes after lift off. We need to find the number of minutes when the plane is at an altitude of 21,000 feet.

By substituting a = 21,000 into the equation, we have:

21,000 = 3480 + 600t

To isolate "t," we subtract 3480 from both sides:

21,000 - 3480 = 600t

Simplifying, we get:

17,520 = 600t

Dividing both sides by 600, we find:

t = 29.2

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have a government

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Step-by-step explanation:

yan napo lahat answer

The wires intersect at a height of approximately 20.42 feet above the ground.

Let's assume the point of intersection of the wires is at height y above the ground. Since the wires connect the top of one pole to the bottom of the opposite pole, we can consider two right triangles formed by each wire and the ground.

In the first triangle, the height of the first pole (h₁) is given as 35 feet. The length of the wire connecting the top of the first pole to the bottom of the second pole is also h₁. Similarly, in the second triangle, the height of the second pole (h₂) is given as 25 feet, and the length of the wire connecting the top of the second pole to the bottom of the first pole is also h₂.

Using the concept of similar triangles, we can set up the following proportion:

h₁/(h₁ + h₂) = y/h₁.

Substituting the given values, we have:

35/(35 + 25) = y/35.

Simplifying the equation, we get:

35/60 = y/35.

Cross-multiplying, we find:

60y = 35 * 35.

y = (35 * 35)/60.

y ≈ 20.42.

Therefore, the wires intersect at a height of approximately 20.42 feet above the ground.

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Answer:

where is the diagram

pls correct

Therefore, the transfer function of the system is:

G(s) = Y(s) / U(s) = U(s) / (s^3 + 0.25s + 1.25)

In summary, the differential equation depicting the dynamics of a fourth Single-Input-Single-Output (SISO) system is y'''(t) + 0.25y'(t) + 1.25y(t) = u^2(t), and the transfer function of the system is G(s) = U(s) / (s^3 + 0.25s + 1.25).

The differential equation describing the dynamics of a single-input-single-output (SISO) system is given by ddy(t) + ay'(t) + by(t) = cdu(t), where y(t) is the output of the system, u(t) is the input of the system, and d, a, b, and c are constant coefficients representing the system dynamics.

For the given differential equation, which is the dynamics of four Single-Input-Single-Output (SISO) systems, we have:

\(y(t) + ay'(t) + by''(t) + cy'''(t) = u(t)\)
Here, we have the third-order differential equatior : \(y'''(t) + 0.25y'(t) + 1.25y(t) = u^2(t)\)

The given equation is a third-order, linear, time-invariant (LTI) differential equation. In control theory, a differential equation that relates the input u(t) to the output y(t) of a system is known as the transfer function.

The transfer function of the given system can be found by applying the Laplace transform to the differential equation:

s^3Y(s) + 0.25sY(s) + 1.25Y(s) = U^2(s)

where Y(s) and U(s) are the Laplace transforms of y(t) and u(t), respectively.

Solving for Y(s), we get:

Y(s) = U^2(s) / (s^3 + 0.25s + 1.25)

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Without using any bounds, we prove that (a) A₂(6, 5) = 2 by constructing a code and (b) A₂(7, 5) = 2 using a combinatorial argument.

(a) To show that A₂(6, 5) ≥ 2, we explicitly construct a code. Consider a parity-check matrix H with two rows, [1 0 1 0 1 1] and [0 1 1 1 0 1]. By assigning codewords to the nullspace of H, we obtain two distinct codewords: c₁ = [1 0 0 0 1 1] and c₂ = [0 1 0 1 0 1]. Therefore, A₂(6, 5) ≥ 2.

To show that A₂(6, 5) ≤ 2, we employ a combinatorial argument similar to Example 5.2.5. Suppose we have a code C of length 6 and dimension 5. For each codeword, we can flip up to two bits to obtain another codeword in C since the minimum distance is 3. Hence, A₂(6, 5) ≤ 2.

(b) Similarly, using the combinatorial argument, we can show that A₂(7, 5) ≤ 2. Since the minimum distance is 3, we can flip up to two bits for each codeword, indicating A₂(7, 5) = 2.

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Answer: 71 Kilograms = 156.528206 Pounds

Step-by-step explanation: search

As a result, 71 kilos equals 156.53 pounds.

Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. In mathematics, multiplying implies adding equal groups. The number of items in the group grows as we multiply. A multiplication issue includes the two elements and the product. In the multiplication issue, 6 9 = 54, the numbers 6 and 9 are factors, and 54 is the result. In elementary algebra, multiplication is the act of computing the outcome when a number is multiplied by itself many times. The product of and is the outcome of a multiplication, and each of the integers and is known as a factor of the product.

Here,

To convert kilograms (kg) to pounds (lbs), multiply the number of kilograms by 2.20462.

So, 71 kg = 71 x 2.20462 = 156.53 lbs

Therefore, 71 kilograms is equal to 156.53 pounds.

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Answer:

Step-by-step explanation:

Answer:

A= 16 B= 2

The second part is B

Using the weighted mean, it is found that the office should be located 13.85 miles from Bellevue.

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the observations are given as follows:

These observations are the positions of the cities, considering that they are 60 miles apart, and their weights as given in the problem.

The weighted mean between these positions is found as follows:

M = (0 x 5 + 60 x 3)/(5 + 8) = 13.85.

The meaning of the weighted mean is that:

The office should be located 13.85 miles from Bellevue.

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Answer: the first because he didn’t distribute the 2/3 with all the things in the parentheses

Step-by-step explanation: it’s supposed to be -4/3 + 2/3x the first step

Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

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The modulus of rupture (MOR) can be calculated by dividing the maximum load by the section modulus. The section modulus for a rectangular cross-section is (width * height^2)/6.

In this case, the width is 2 inches and the height is 4 inches, so the section modulus is (2 * 4^2)/6 = 5.33 in^3. Therefore, the MOR = 240 kips / 5.33 in^3 = 45 kpsi.

The apparent modulus of elasticity (MOE) can be calculated using the formula MOE = (F * L^3) / (4 * h * d^3 * delta), where F is the maximum load, L is the span length, h is the height of the wood, d is the depth of the wood, and delta is the deflection at mid-span. Plugging in the values given, we get MOE = (240 kips * 4^3) / (4 * 4 * 2^3 * 2.4 in) = 1,333 kpsi. Therefore, the apparent MOE for the 2 * 4 wood lumber is 1,333 kpsi.

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Answer:

3x = 42

Step-by-step explanation:

8=112/x

Multiply each side by x

8x = 112

Divide each side by 8

x = 112/8

x =14

Multiply each side by 3

3x = 14*3

3x = 42