Which hypothesis should be written as an inequality? A. the null hypothesis B. the alternative hypothesis C. either the alternative or the null hypothesis

The required total amount paid for magazine and pencil is 108p.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now it is given that,

Costing of a magazine = 83p

Costing of pencil = 45p

Thus, Total costing = Costing of a magazine + Costing of pencil

Putting the values we get,

Total costing = 83p + 45p = 128p

Now voucher gives 20p off

So, Final Costing = Total costing - Voucher off

⇒ Final Costing = 28p - 20p

⇒ Final Costing = 108p

this is the equired total amount paid for magazine and pencil.

Thus, the required total amount paid for magazine and pencil is 108p.

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Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.

Answer:

option B is an expression

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

Answer:

Vertical angles are angles that are opposite each other when two lines intersect each other. And they are always equal.

==> 2y +5 = 4y

==> 4y - 2y = 5

==> 2y = 5

==> \(y = \frac{5}{2}\)

Option D

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:

what is the question and what is the graph

Step-by-step explanation:

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

Step-by-step explanation:

a2 = -2

a + d  =  -2

a + 6d = 7

-5d  =  -9

d  =  9/5

a = -19/5

an  =  a + ( n-1 ) d

an =  -19/5 + ( n-1 ) 9/5

Answer:

Step-by-step explanation:

To determine how long it would take Anita and Chao to clean a pool together, we can use the concept of work rates.

Anita can clean a pool in 8 hours, so her work rate is 1/8 of a pool per hour.

Chao can clean a pool in 6 hours, so his work rate is 1/6 of a pool per hour.

To find their combined work rate, we add their individual work rates:

1/8 + 1/6 = 3/24 + 4/24 = 7/24

Their combined work rate is 7/24 of a pool per hour.

To determine how long it would take them to clean a pool together, we can set up the equation:

(7/24) * T = 1

Where T represents the time it takes them together to clean the pool.

To solve for T, we multiply both sides of the equation by the reciprocal of (7/24), which is (24/7):

T = (1) * (24/7) = 24/7

Therefore, it would take Anita and Chao working together approximately 24/7 hours to clean a typical pool.

Answer:

Step-by-step explanation:

\(2x^{2}\)+\(7x\)+3

The required expression for part A ⇒ 2x(3x-8)

The required expression for part B ⇒2x(3x-8)

Part A:

The area of the rectangular space is given by the expression 6x²-16x, which is equal to the length times the width. We are given that the width of the rectangular space is 2x.

Therefore, we can write:

length x width = area

length x (2x) = 6x²-16x

length = (6x²-16x) / (2x)

Simplify the expression for length by factoring out 2x from the numerator:

length = 2x(3x-8)

So the expression for the length of the rectangular space is 2x(3x-8).

Part B:

To prove that our expression for the length is correct, we can multiply it by the width and show that we get the original expression for the area:

length x width = 2x(3x-8) x (2x)

                        = 4x²(3x-8)

                        = 12x³ - 32x²

Now we can compare this result with the original expression for the area, which is 6x²-16x.

We can simplify the original expression by factoring out 2x:

6x²-16x = 2x(3x-8)

We can see that the expression we obtained by multiplying the length and the width is equivalent to the original expression for the area, so our expression for the length is correct.

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Answer:

f(-3/2) = -411/16.

Answer:

why the negitives

Step-by-step explanation:

in in secod grad

Answer:

(-2, 1/9)  (-1, 1/3)  (0,1) (1,3) (2,9)

the right graph is graph B

Step-by-step explanation:

To find the y values, input each of the x values in the function and solve them with a calculator. The negative x values may give decimals, but if you start with the positive ones first, you'll notice a pattern in the graph, which will help you figure out what the fraction form of the decimals are.

Once you have the table, use the table to find the points on the right graph.

Answer:

plot the point (0,10), and then from that point, plot the point that it 7 points up and 1 point to the right, plot that, and repeat

Step-by-step explanation:

Answer:

I graphed the line for you

Step-by-step explanation:

By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.

What is the quadratic formula?

The quadratic formula is a formula that gives the solutions of a quadratic equation in the form \(ax^2 + bx + c = 0\), where a, b, and c are constants and x is the variable. The formula is:

x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a

This formula can be used to find the values of x that satisfy the quadratic equation.

To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation \(-16x^2 + 11x + 6 = 0\) using the quadratic formula:

x = (-b ± \(\sqrt{b^2 - 4ac}\)) / 2a

where a = -16, b = 11, and c = 6. Substituting these values, we get:

x = (-11 ± \(\sqrt{11^2 - 4(-16)(6)}\) ) / 2(-16)

x = (-11 ±  \(\sqrt{361}\))/ (-32)

Simplifying this expression, we get:

x = (-11 ± 19) / (-32)

So the two possible values of x are:

x = 8/16 = 0.5 and x = 30/16 = 1.88

Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).

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Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

There are 3 ways to distribute the candy to the adults, and 3,868,263 ways to distribute the remaining pieces to the children, for a total of 11,604,789 possible ways to distribute the 25 pieces of candy.

There are a total of 13 individuals (3 adults and 10 children) who need to receive the 25 identical pieces of candy. Since each adult can receive at most one piece, there are only 3 ways to distribute the candy to the adults: either one adult gets all the candy, or two adults each get one piece of candy.

Once the candy has been distributed to the adults, the remaining pieces can be given to the children. This is a classic problem in combinatorics known as "stars and bars" or "balls and urns". In this case, we have 10 children who need to share the remaining pieces of candy.

To solve this problem, imagine that we have 25 stars and 9 bars. The bars represent the dividing lines between the 10 children (since there are 9 gaps between the 10 children). The stars represent the 25 pieces of candy. We can place the bars and stars in any order, as long as there is at least one star between each pair of bars (to ensure that each child receives at least one piece of candy).

The number of ways to arrange 25 stars and 9 bars is given by the binomial coefficient (25+9 choose 9), which simplifies to (34 choose 9) = 3,868,263. Therefore, there are 3 ways to distribute the candy to the adults, and 3,868,263 ways to distribute the remaining pieces to the children, for a total of 11,604,789 possible ways to distribute the 25 pieces of candy.

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Complete Question:

Problem 1: Build a generating function for an in the following procedures. Remember to state which coefficient solves the initial problem. You do not need to calculate the coefficient. (a). How many ways are there to distribute 25 identical pieces of candy to 3 adults and 10 children, so that each adult gets at most one piece? (b). The number of ways to give a total of r cents, using one dollar worth of pennies, one dollar worth of nickels and one dollar worth of dimes. (c). How many ways can we get a sum of 18 when 7 distinct dice are rolled? (d). How many ways are there to distribute 30 identical homeworks to 5 graders so that each grader gets at least 4 but no more than 8 homeworks?

Considering the definition of an inequality, Dan can buy a number of notebooks of 13.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "x" the number of notebooks Dan can buy, the inequality that expresses the previous relationship is

32 + 2.50x ≤ 65

Solving:

2.50x ≤ 65 - 32

2.50x ≤ 33

x ≤ 13.2

Finally, Dan can buy 13 notebooks.

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The angular coordinate, angular velocity, and angular acceleration of the flywheel are: (a) At t = 0, θ = θ0 = 0.5 rad, ω = 0, and α = 12π²θ0 = 23.55 rad/s².

(b) At t = 0.125 s, θ = 0.267 rad, ω = 4.116 rad/s, and α = -69.08 rad/s².

The given equation for the angular displacement of the flywheel is θ=θ0e(-3πcos(4πt)). Here, θ0 = 0.5 rad. To find the angular velocity and angular acceleration, we need to differentiate θ with respect to time.

θ = θ0e(-3πcos(4πt))

ω = dθ/dt = -12π²θ0e(-3πcos(4πt))sin(4πt)

α = d²θ/dt² = -48π³θ0e(-3πcos(4πt))(cos(4πt) - 2)sin(4πt)

Substituting t = 0, we get:

(a) At t = 0, θ = θ0 = 0.5 rad, ω = dθ/dt = 0, and α = d²θ/dt² = 12π²θ0 = 23.55 rad/s².

(b) At t = 0.125 s, θ = 0.267 rad, ω = dθ/dt = 4.116 rad/s, and α = d²θ/dt² = -69.08 rad/s².

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Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

Step-by-step explanation:

<A= right angle

<B= acute angle

<C= obtuse angle

<D=right angle

hope this helps you.

Answer:

A=61, B=74

Step-by-step explanation:

Because all the angles in a triangle add up to 180:

(2x+4) + (2x-9) + x = 180

If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.

A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.

LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.

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To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

Answer:

77 minutes or 1 hour, 17 minutes

Step-by-step explanation:

7000 feet in 20 minutes is 700 feet in 2 minutes or

350 feet per minute

to find the number of minutes to go 26950 feet we can divide that by 350

26950 ÷ 350 = 77 minutes or 1 hour, 17 minutes

The scores on the math portion of the SAT are roughly normally distributed, with a mean of 500 and a standard deviation of 100. Approximately 95% of scores lie within two standard deviations of the mean, which is between 300 and 700.

To calculate this, we need to know that 68% of scores lie within one standard deviation of the mean, and 95% of scores lie within two standard deviations of the mean. To calculate the two standard deviations from the mean, we must use the equation (x + 2σ) and (x - 2σ). The 'x' in this equation is the mean, and the 'σ' is the standard deviation. Plugging in the values, we get: (500 + 2(100)) = 700 and (500 - 2(100)) = 300. Therefore, approximately 95% of scores on the math portion of the SAT lie between 300 and 700.

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Their hourly wage in 9 more years is $23.60 per hour.

To find the hourly wage in 9 more years, we can use the formula for exponential growth:

A = \(P * (1 + r)^t\)

Where:

To find the annual growth rate, we can use the formula:

r = \((A/P)^(^1^/^t^)\) - 1

Substituting the given values, we get:

r = \((\$16.09 / \$6.90)^(^1^/^1^1^)\) - 1

r = 0.0883 or 8.83%

Now we can use this growth rate to find the hourly wage in 9 more years:

A = $6.90 * \((1 + 0.0883)^9\)

A = $23.60 (rounded to the nearest cent)

Therefore, the hourly wage of the automobile plant workers in 9 more years, if their wages continue to grow exponentially at the same rate, would be $23.60 per hour.

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Answer: D

Step-by-step explanation: a reflection across the line x=-1