What is the domain of the step function f(x) graph form

The percent increase of his tips from Friday to Saturday is 35/3%.

T is equal to 112/3% as a mixed percentage fraction or 35/3% as an uncommon percentage fraction (decimal fraction: 0.116667)

PREMISES

T is the proportion of a waiter's tips that increased from $300 on Friday to $335 on Saturday.

CALCULATIONS

T=($335-$300)/$300

T=[($35/$300)100]%

T=[(7/60)100]%

T=[(7×100)/60]%

T=70/6%

A mixed percentage fraction of 112/3% or a percentage fraction of 35/3% (decimal fraction: 0.116667)

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Answer:

Answer is: (9)

Step-by-step explanation:

105+(8v+3)=180

(8v+3)=75

8v=72

v=9

Answer:

No

Step-by-step explanation:

There is an x value that has two y values. If you were to graph this function, it would not pass the vertical line test.

Answer:

y = 8

Step-by-step explanation:

Hi there!

We are given the equation 5y + 2 = 42

And we want to solve it for y

To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.

So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.

5y + 2 = 42

     -2      -2

_______________

5y = 40

Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)

So to find the value of just y, divide both sides by 5

5y = 40

÷5    ÷5
________

y = 8

Hope this helps!

The high level of airline ticket sales that travel agencies experience during summer is an example of (option C.)Seasonal component of a time series.

A time series is a set of observations collected over a period of time, and it can be decomposed into various components, including trend, cyclical, seasonal, and random variation.

The trend component represents the overall pattern of the time series, such as an upward or downward trend. The cyclical component represents the repeating patterns that are not related to the regular seasons or calendar years. The seasonal component represents the regular variations that occur at specific times of the year, such as the summer months in this example. The random variation represents the unpredictable fluctuations in the time series.

Since the high level of airline ticket sales during summer is a regular variation that occurs every year at the same time, it is an example of the Seasonal component of a time series.

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Complete question:

The high level of airline ticket sales that travel agencies experience during summer is an example ofwhich component of a time series?

A.Trend.

B.Cyclical.

C.Seasonal.

D.Random variation

Answer:

Kite

Step-by-step explanation:

A kite is a convex quadrilateral with two pairs of adjacent congruent sides such that not all sides are congruent. The word adjacent means “next to”, so the congruent sides are next to each other. So this means since they're next to each other there's no congruent opposite sides.

Hope this helps!!

The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we can see in the table, data is given, we can plot it in the graph by using the scale factor.

On the x-axis, scale: 1 unit = 1 week

On the y-axis, scale: 1 unit = 150 minutes

On the y-axis, 2 units = 300 minutes

On the y-axis, 3 units = 450 minutes

Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

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The table that represents a function is the table in which each value of x is mapped to a single value of y.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

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Answer:

K=5

This should be right.

The exact volume of the solid of revolution formed when the rectangle is rotated about its 8-inch side is 81π cubic inches.

The exact volume of the solid of revolution formed when the rectangle is rotated about its 8-inch side can be found using the method of cylindrical shells.

To visualize this, imagine taking the rectangle and rotating it around the 8-inch side. This rotation creates a cylindrical shell with height equal to the length of the 9-inch side of the rectangle and radius equal to the distance from the 8-inch side to the axis of rotation.

The circumference of the cylindrical shell is given by the formula C = 2πr, where r is the distance from the 8-inch side to the axis of rotation. In this case, r is equal to half the length of the 9-inch side, which is 4.5 inches.

The height of the cylindrical shell is given by the length of the 9-inch side of the rectangle, which is 9 inches.

Therefore, the volume of each cylindrical shell is V = 2πrh, where r = 4.5 inches and h = 9 inches.

Substituting the values, we get V = 2π(4.5)(9) = 81π cubic inches.

Hence, the exact volume of the solid of revolution formed when the rectangle is rotated about its 8-inch side is 81π cubic inches.

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⇒We can represent this phone lattice in two minimum number of ways and states to represent it.

What is phone lattice?

A state diagram, or directed network in which each node stands for a state of a system, is what is known as a phone lattice. Each edge of a phone lattice has exactly one letter. A word is represented by each route from the start node to the final/end node.

The minimum no. Of states in using a phone lattice to the given requirement is  two.

We can represent this phone lattice in two minimum number of ways and states to represent it.

A  dual lattice may be  defined as the  inclusion on the extents. We represent a lattice using a  Hasse diagram of the given partial ordering on all the  maximal rectangles, transitivity and reflexivity arcs that are omitted. Concepts in the given system are often known  as elements of this lattice.

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The center is (4, -4) and the radius is 8.

The generic formula for a circle can be used to get the center and radius of the equation x2 + y2 + 8x - 2y - 8 = 0. Rearranging the equation yields (x - 4)2 + (y + 4)2 = 8, or (x - h)2 + (y - k)2 = r2, where h and k are the center's coordinates and r is the radius. When the values are substituted, we obtain h = 4, k = -4, and r = 8. As a result, the circle's radius is 8 and its center is (4, -4).

h = 4, k = -4,

r = 8 x2 + y2 + 8x - 2y - 8

= 0 x2 + 2x + y2 - 2y + 8 = 0 (x + 4)2 + (y - 4)2 = 8

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Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

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Answer:

x = -2

Step-by-step explanation:

-8x = 16

x = 16/-8

x = -2

Comprobación:

-8*-2 = +16 = 16

The solution to the equation -8x = 16 is x = -2.

In mathematics, an expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷, etc.) that are combined to represent a mathematical phrase or idea.

Expressions can be as simple as a single number or variable, or they can be more complex with multiple terms and operators. For example, "3 + 4" and "5x - 2" are both examples of expressions.

To solve the expression -8x = 16, we want to isolate the variable x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.

In this case, we want to get x by itself on one side of the equation, so we need to get rid of the -8 coefficient on the variable.

We can do this by dividing both sides of the equation by -8:

-8x / -8 = 16 / -8

Simplifying both sides gives:

x = -2

Therefore, the solution to the equation -8x = 16 is x = -2.

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Therefore, neither of the given matrices U and V are orthogonal with respect to the standard inner product on M₂₂.

To show that the matrices U and V are orthogonal with respect to the standard inner product on M₂₂, we need to verify that their inner product is zero.

For Exercise 11:

U = [2 1]

V = [-3 0]

To find the inner product, we take the transpose of U and multiply it with V:

\(U^T = [2; 1]\)

Inner product of U and V =\(U^T * V\)

= [2; 1] * [-3 0]

= (2*(-3)) + (1*0)

= -6 + 0

= -6

Since the inner product of U and V is -6 (not zero), we can conclude that U and V are not orthogonal.

For Exercise 12:

U = [5 -1]

V = [1 3]

To find the inner product, we take the transpose of U and multiply it with V:

\(U^T\) = [5; -1]

Inner product of U and V = \(U^T * V\)

= [5; -1] * [1 3]

= (51) + (-13)

= 5 - 3

= 2

Since the inner product of U and V is 2 (not zero), we can conclude that U and V are not orthogonal.

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Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

Answer: Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b.

Step-by-step explanation:

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Answer

 h = √ (96 / 8) = √12 ft

P=100 watts

Step-by-step explanation:

Answer:

Slope; -1

y-intercept:  (0, 3)

Step-by-step explanation:

The y-intercept is the point at which the line crosses the y-axis.  Start at the origin (0, 0) and count the number of squares up to the y-intercept:  3.

So the y-intercept is (0, 3).

Again starting from the origin (0, 0), count the number of squares to the x-intercept, which is where the line crosses the x-axis.  Again, that number is 3.

Thus, the slope of this line is m = rise / run = -3 / 3 = -1.  A quick glance at the graph shows that y decreases as x increases, which confirms that the slope is negative.

Answer:

The first one is A

The second one is B

The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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Answer:

83,900

Step-by-step explanation:

100/33560 = 250/x

There are 2 options to solve. You can cross multiply:

100x = 33560*250

100x = 8,390,000 Divide by 100

x = 83,900

I also see that you start with 100 naira and want to see the value at 250 naira.

250 is 2.5 times 100. If you take the original 33560 fr and multiply that by 2.5, you will get 83,900.

5 = 2x - 1  

+1       +1  

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

2x = 4  

--     --  

2      2

x = 2. Then the domain point is x = 2 when y = 5. So, the domain point is (2,5).

Answer: 92° or 1.6057 radians

Step-by-step explanation:

the 4 angles created by the intersecting lines SU and RT have to equal 360°

<v = 88° because of vertical angles so

88° • 2 = 176°

360° - 176° = 184°

184°/ 2 = 92°

92°+92°+88°+88° = 360°

then, that makes 92° the central angle of arc RU and the central angle degrees is always equal to the arc it subtends

hope this helps :)

Area of △CMB ≈ 23.33 in² ,Area of △AMC ≈ 52.50 in²,Area of △ABC ≈ 75.83 in².

The problem step by step.

Given that AM:MB = 3:2, we can express the areas of triangles △CMB, △AMC, and △ABC in terms of their corresponding sides.

1. Area of △CNB = 35 in²

Since N is the midpoint of CM, we know that the ratio of the areas of △CNB and △CMB is the same as the ratio of their corresponding bases. Therefore, the area of △CMB can be determined as follows:

Area of △CMB = (2/3) * Area of △CNB = (2/3) * 35 = 70/3 in² ≈ 23.33 in²

2. Area of △AMC

Since AM:MB = 3:2, we can consider the area ratio as the square of the side ratio. Therefore, the area of △AMC can be determined as follows:

Area of △AMC = (3/2)² * Area of △CMB = (9/4) * (70/3) = 630/12 in² ≈ 52.50 in²

3. Area of △ABC

The area of △ABC can be obtained by summing the areas of △CMB and △AMC:

Area of △ABC = Area of △CMB + Area of △AMC = 70/3 + 630/12 = 280/12 + 630/12 = 910/12 in² ≈ 75.83 in²

To summarize:

Area of △CMB ≈ 23.33 in²

Area of △AMC ≈ 52.50 in²

Area of △ABC ≈ 75.83 in²

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Answer: the answer is: 500,000

that there is no smallest positive rational number is proven below.

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have commonly divisible.

Let r be any reasonable number.

We can infer that r/2 is rational because r is a rational number.

There is no smallest rational number so we can assume that r/2 r because r/2 is rational.

Hence, proved that here is no smallest positive rational number.

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Answer:

12x + 4z

Step-by-step explanation:

Given: 2/3 (18x + 6z)

Multiply the fraction 2/3 into each term

(\(\frac{2}{3}\))*18x + (\(\frac{2}{3}\))*6z

\(\frac{36}{3}\)x + \(\frac{12}{3}\)z

12x + 4z