choose the best decimal equivalent to 14/25.

Answer:

x=1.2

Step-by-step explanation:

First, you have to subtract 17.56 from both sides

then you get 12.6=5x

then you have to divide both sides by five

if you do that you get x=1.2

Answer:

2.52

Step-by-step explanation:

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

254.34 in^2

Step-by-step explanation:

To calculate the Area of Circle is πr^2

r is the radius of the circle

In this problem, the diameter is given which is 18 in. To find the radius you have to divide the diameter by 2.

18/2 = 9 in is our radius

Area of Circle = π9^2

                       = 3.14*81

                       = 254.34 in^2                    

Answer:

\(h'(2)=-7\)

Step-by-step explanation:

So we have:

\(h(x)=f(x)g(x)\)

Differentiate. Use the product rule:

\(h'(x)=f'(x)g(x)+f(x)g'(x)\)

Substitute 2 for x:

\(h'(2)=f'(2)g(2)+f(2)g'(2)\)

We know that f'(2) is 1, f(2) is 5, g(2) is 3, and g'(2) is -2. Make the appropriate substitutions:

\(h'(2)=(1)(3)+(5)(-2)\)

Simplify:

\(h'(2)=3-10\)

Subtract:

\(h'(2)=-7\)

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: It's 4.5 hope it's right, bye

Answer:

Step-by-step explanation:

An SAT-M score in the 98th percentile is approximately 734.55 or higher.

According to the College Board website,

The scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and a standard deviation of 111. Assume that SAT-M scores follow a normal distribution. To gain admission to a particular engineering school, a requirement is to obtain an SAT-M score in the 98th percentile, indicating that the score is among the top 2% of scores.

For getting the actual SAT-M score, we need to find the corresponding z-score for the 98th percentile.

Using the Inverse Normal Distribution Calculator, we get a z-score of 2.05 for the 98th percentile.

So, the formula for finding an actual SAT-M score is:

x = μ + zσ

Where x is the actual SAT-M score,

μ is the mean = 507,

z is the z-score = 2.05,

σ is the standard deviation = 111

x = 507 + (2.05)(111)

x = 507 + 227.55

x = 734.55

The actual SAT-M score for the 98th percentile is approximately 734.55 (rounded to the nearest hundredth).

Therefore, an SAT-M score of 734.55 or higher is required for admission to the engineering school.

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Answer:

5.8

Step-by-step explanation:

\( \sqrt{ {5}^{2} } + \sqrt( { - 3}^{2} )\)

\( \sqrt{25 + 9} \)

\( \sqrt{34} \)

5?8

Answer:

D has the positive slope because it's the only line that goes upwards from left to right.

Step-by-step explanation:

Answer:

17%

Step-by-step explanation:

brainliest pls

Answer:

The answer is in the picture

Answer:

2827.43in²

Step-by-step explanation:

formula for area of a circle is r²π with r being the radius (30 in this case)

we can plug in 30 for r to solve for the area

30²π

900π

2827.43

that is the answer

- kan academy advance

By the distribution property 6(1/2 + 2/3+3/4) = 23/2    

According to the distributive property, multiplying the difference or aum of numbers will be equivalent to multiplying the individual parts of the difference or sum.

The expression that can explain the above rule is A ( B+ C) = AB + AC

Here we have

6(1/2 + 2/3+3/4)    

By distribution property

=> 6(1/2 + 2/3+3/4)  

= 6(1/2) + 6(2/3)+ 6(3/4)  

= 3 + 2(2) + 3(3/2)          

= 3 + 4 + 9/2

= 7 + 9/2

=  (14+9)/2        [ add 7 and 9/2 by taking 2 as LCM ]

=  23/2  

Therefore,

By the distribution property 6(1/2 + 2/3+3/4) = 23/2    

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Complete Question:

1. Find the value of this fraction computation: 6(1/2 + 2/3+3/4)    

The total amount paid for a credit card purchase of $756.25 at an annual rate of 24.5% and monthly repayment of $100, until the balance is paid off, is $829.79.

The total amount paid by the car owner can be determined using an online finance calculator, setting the following parameters.

The total amount paid includes the principal and the interest for the credit.

The payment period will last for 8 months and some days.

I/Y (Interest per year) = 24.5%

PV (Present Value) = $756.25

PMT (Periodic Payment) $-100

Results:

N = 8.298

Sum of all periodic payments = $829.79

Total Interest = $73.54

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Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

The solution is the point (3, -1)

Step-by-step explanation:

We have the system of equations:

x = 3

y + 1 = 0

To solve this graphically, we need to graph these two lines and see in which point the lines intersect.

To graph the line x = 3, we need to draw a vertical line that passes through x = 3.

To graph y + 1 = 0

First we should isolate y.

y = -1

This is graphed as a horizontal line that passes through y = -1

The graph of these two lines can be seen in the image below.

Where the green line is x = 3, and the blue line is y = -1

Now, looking at the graph we can see that the lines do intersect in the point (3, -1)

Then the solution of the system is the point (3, -1)

Answer:

=(2x+1)(4x+1)

Step-by-step explanation:

so if he answer correct he get 2 points but incorrect answer he get 0 so his points are 0 because he did not play a game

The opposite expression of "-2a + 5c" is "5c - 2a".

To rewrite the expression "-2a + 5c" using the guidelines opposite, we will reverse the steps taken to simplify the expression.

Reverse the order of the terms: 5c - 2a

Reverse the sign of each term: 5c + (-2a)

After following these guidelines, the expression "-2a + 5c" is rewritten as "5c + (-2a)".

Let's break down the steps:

Reverse the order of the terms

We simply switch the positions of the terms -2a and 5c to get 5c - 2a.

Reverse the sign of each term

We change the sign of each term to its opposite.

The opposite of -2a is +2a, and the opposite of 5c is -5c.

Therefore, we obtain 5c + (-2a).

It is important to note that the expression "5c + (-2a)" is equivalent to "-2a + 5c".

Both expressions represent the same mathematical relationship, but the rewritten form follows the guidelines opposite by reversing the order of terms and changing the sign of each term.

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Answer:

x = 80

Step-by-step explanation:

degrees in pentagon = 540

120 + 100 + (180-40) + (180-80) + x = 540

120 + 100 + 140 + 100 + x = 540

x = 80

Answer:

80°

Step-by-step explanation:

First, find the total interior angle by using the formula (n - 2) × 180

In this formula, n = the number of sides.

Find all the missing interior angles.

Add all the interior angles.

Subtract the that value from the total interior angle.

Answer:

the top one is 30 the second one is 60.22 the third one is 66.7 the forth one is 59.8

Answer:

A. Shading above a solid line.

Step-by-step explanation:

Let \(f(x) = 2\sqrt{3}\cdot x + 2\), whose domain is all real numbers, since it is a first order polynomial (linear function) and meaning that for all element of \(x\) exists one and only one value for \(f(x)\), meaning a solid line. If \(g(x) > f(x)\), then the range of all possible results is a shade area above the solid line.

Hence, the correct answer is A.

Answer:

n = m - a

Step-by-step explanation:

Given:

a = m − n

Where,

Actual cost of the item = a

Original price of the item = m

Amount of Coupon = n

Solve the formula for the amount of the coupon

Making n the subject

a = m − n

Subtract m from both sides

a - m = m - n - m

a - m = - n

Divide both sides by -1

(a - m) / -1 = -n / -1

- a + m = n

Can also be written as

n = m - a

Answer:

B. 85.6%

Step-by-step explanation:

Since we want to find the percentage, which is essentially a fraction, we will divide the area of the smaller frame by the area of the larger paper.

The paper and frame are both rectangles, so the area of a rectangle is denoted by A = lw, where l is the length and w is the width.

For the paper, the length is l = 8.5 and the width is w = 11. So:

A = lw

A = 8.5 * 11 = 93.5 inches squared

For the frame, the length is l = 8 and the width is w = 10. So:

A = lw

A = 8 * 10 = 80 inches squared

The percentage of the original sketch included in the frame would be:

(80 / 93.5) * 100 ≈ 85.6%

The answer is thus B.

~ an aesthetics lover

Answer:

The answer should be B. 85.6% hopefully this helped you!

Step-by-step explanation:

Answer: 17

Explanation

P-5=12

Transpose 5 to the other side

It will become +5 after transposing becuase it was -5 before transposing

P=12+5

P=17

PLSSS MARK AS BRAINLIEST

Answer:

The answer is D

Step-by-step explanation:

x√{5^2+8^2}=√89

Answer:

\(\boxed{\tt x=\sqrt{89} }\)

Step-by-step explanation:

We'll use the Pythagorean Theorem

Equation: \(\tt a^2+b^2=c^2\)

where a and b are the lengths of the two legs of triangle, and c is the hypotenuse.

*A and b can be switched because they are legs*

\(\tt a^2+b^2=c^2\)

Plug in the side lengths:

\(\tt 5^2+8^2=x^2\)

Evaluate 5^2 and 8^2:

\(\tt 25+64=x^2\)

Add 25 and 64 = 89

\(\tt 89=x^2\)

Now, take the square root of each side:

\(\tt x=\sqrt{89} \)

_____________________________

Answer:

Step-by-step explanation:

    a) Diameter = 2.1 m

                      r = 2.1 ÷ 2 = 1.05 m

            Area   = πr²

                       = 3.14 * 1.05 * 1.05

                      = 3.46 = 3.5 m²

    b) To find the number of paint tins, divide the area of table top by 1.75 m²

     Number of tins =  3.5 ÷ 1.75

                               = 2 tins

c) Cost of 1 tin = $ 5.50

   Cost of 2 tin = 2 *5.50

                        = $ 11

\(\sf d) Cost\ of \ labour = \dfrac{2}{3} * 11\)

                         = $ 7.30

Answer:

a=3.46 (2dp)   b(ii)=2  

Step-by-step explanation:

a)

πr²=area

2.1/2 = 1.05 as the radius

1.05² x π= 3.46 (2dp)

b)

3.46/1.75= 1.98

1.98 can be changed into two

∴ 2 tins will be needed

The quotient of the fractions  is 42/55

The quotient of a fraction is the value that is obtained when you simplify the fraction

Given: 5 3/5 ÷ 7 1/3

5 3/5 = 28/3 and 7 1/3 = 22/3

5 3/5 ÷ 7 1/3 = 28/5 ÷ 22/3

                    = 28/5 × 3/22

                    = 84/110

                    = 42/55

Thus, the quotient is 42/55

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Therefore, the molar mass of Eicosene is approximately 0.339 g/mol.

To determine the molar mass of Eicosene, we can use the freezing point depression equation:

ΔT = Kf * m * i

where:

ΔT = freezing point depression

Kf = freezing point depression constant for the solvent (benzene)

m = molality of the solute

i = van't Hoff factor (for molecular compounds, i = 1)

Given:

ΔT = -1.87 °C

Kf (benzene) = 4.90 °C/m

m = molality of Eicosene in benzene

molar mass of benzene = 78.11 g/mol

mass of Eicosene = 100.0 mg = 0.1000 g

mass of benzene = 1.00 g

First, we need to calculate the molality (m) of Eicosene in benzene. Molality is defined as the number of moles of solute per kilogram of solvent.

molality (m) = moles of solute / mass of solvent (in kg)

To calculate the moles of Eicosene, we need to convert the mass of Eicosene to moles using its molar mass. Let's assume the molar mass of Eicosene is M g/mol.

moles of Eicosene = mass of Eicosene / molar mass of Eicosene

moles of Eicosene = 0.1000 g / M g/mol

Now, we can calculate the molality (m) using the moles of Eicosene and the mass of benzene.

m = moles of Eicosene / mass of benzene (in kg)

m = (0.1000 g / M g/mol) / (1.00 kg / 78.11 g/mol)

Simplifying, we get:

m = 0.1000 / (M * 78.11)

Now, we can substitute the values into the freezing point depression equation and solve for the molar mass (M).

ΔT = Kf * m * i

-1.87 = 4.90 * (0.1000 / (M * 78.11)) * 1

Simplifying, we get:

-1.87 = 0.049 / (M * 78.11)

To solve for M, rearrange the equation:

M = 0.049 / (-1.87 * 78.11)

M ≈ 0.000339 mol/g

Finally, convert the molar mass to grams per mole:

M ≈ 0.339 g/mol

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Answer:

y=4x-8

Step-by-step explanation:

Slope= y1-y2/x1-x2

Slope = 4- (-16)/3-(-2)=4+16/3+2=20/5=4

Equation: y=4x+b

Let y=4 and x=3

4=12+b

b= -12+4

b=-8

Therefore: y=4x-8