Solve negative four and one third ÷ two and one fifth.

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

Answer:

1,3,2,4

Step-by-step explanation:

Answer:I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

Step-by-step explanation:

Teniendo en cuenta la Ley Universal de la Gravitación, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

La Ley Universal de la Gravitación establece que los cuerpos, por el simple hecho de tener masa, experimentan una fuerza de atracción hacia otros cuerpos con masa, llamada fuerza gravitacional.

Esta ley dice que la fuerza gravitacional entre dos cuerpos es directamente proporcional al producto de sus masas e inversamente proporcional al cuadrado de la distancia que los separa.

Matemáticamente se expresa de la siguiente manera:

\(F=G\frac{Mm}{d^{2} }\)

donde:

En este caso, sabes:

Reemplazando en la Ley Universal de la Gravitación:

\(3x10^{-31}N =6,67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{60 kg x80 kg}{d^{2} }\)

Resolviendo:
\(\frac{3x10^{-31}N}{6,67x10^{-11}\frac{Nm^{2} }{kg^{2} }} = \frac{60 kg x80 kg}{d^{2} }\)

\(4,4977x10^{-21} \frac{kg^{2} }{m^{2} } = \frac{4800 kg^{2} }{d^{2} }\)

\(d^{2} x4,4977x10^{-21} \frac{kg^{2} }{m^{2} } =4800 kg^{2}\)

\(d^{2} = \frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }\)

\(d = \sqrt{\frac{4800 kg^{2} }{4,4977x10^{-21} \frac{kg^{2} }{m^{2} } }}\)

\(d = \sqrt{1,0672x10^{24} m^{2} }\)

d= 1.033 ×10¹² m

Finalmente, la distancia a la que se encuentran dos masas de 60 kg y 80 kg, si la fuerza de atracción entre ellas es de 3×10⁻³¹ N, es 1.033 ×10¹² m.

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Answer:

The derivative of f(x,y)=x2 y2 in the direction of the unit tangent vector of the curve r(t)=(cos t t sin t)i (sin t−t cos t)j, t>0 is 2x^2+2y^2

The accident proportions differ between the two age groups is \(\frac{11}{100}\).

We have given that,

number of clients under age of 18 = 500

number of accident = 180

Proportion of client under age of 18 =  \(\frac{180}{500}\)  = \(\frac{18}{50}\)

number of clients over age of 18 = 600

number of accidents = 150

number of clients over age of 18 = \(\frac{150}{600}\) = \(\frac{15}{60}\) = \(\frac{1}{4}\)

Now we have to find proportion of difference between two age group,

\(\frac{18}{50}\)  -  \(\frac{1}{4}\) =  \(\frac{72 - 50}{200}\)

          = \(\frac{22}{200}\)

          =  \(\frac{11}{100}\)

Therefore the difference between two age groups is  \(\frac{11}{100}\) .

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There are always many ways to move a shape from one location to another location on a page due to the inherent flexibility and freedom of positioning offered by two-dimensional space, combined with the numerous variables involved in the placement of objects.

The two-dimensional nature of a page allows for an infinite number of positions within its boundaries. This inherent flexibility provides multiple options for moving a shape from one location to another. Furthermore, numerous variables contribute to the placement of objects on a page, such as size, orientation, and relationships with other elements.

Firstly, the freedom offered by two-dimensional space means that a shape can be placed anywhere within the boundaries of the page. This allows for a wide range of possibilities when deciding on the shape's position. A shape can be moved horizontally, vertically, or even diagonally, enabling endless potential arrangements.

Secondly, the variables involved in object placement add to the diversity of options. The size of the shape plays a significant role in how it can be positioned. A smaller shape may have more potential locations within a given space, while a larger shape may have fewer possibilities. Additionally, the orientation of the shape, such as rotation or flipping, further expands the number of ways it can be moved.

Furthermore, the relationship between the shape and other elements on the page influences its potential positions. Objects can be arranged in various configurations, such as overlapping, aligning, or grouping, leading to different visual effects and spatial relationships.

In conclusion, the combination of the inherent flexibility of two-dimensional space and the variables involved in object placement on a page results in numerous ways to move a shape from one location to another. This allows for creative expression, adaptability to design requirements, and the possibility of achieving specific visual outcomes.

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Answer: That looks like work what are u trying to find

Step-by-step explanation:

Answer:

Width = 125 m

Length = 375 m.

Step-by-step explanation:

If the width = w then length l = 3w.

Perimeter = 2(w + l)

= 2(w + 3w)

2(w + 3w) = 1000

2 * 4w = 1000

w = 1000/8 = 125m

l = 3*125 = 375.

Step-by-step explanation:

width = x

length= 3x

perimeter of triangle =2( l + b)

1000 = 2( 3x + x )

1000÷ 2 = 4x

500=4x

x= 500÷ 4 = 125

width = 125

length = 125×3= 375

recheck by filling value

width= x = 125

length = 3x =375

perimeter = 2( l+ b)

= 2(375 + 125)

= 2× 500 = 1000

hence proved

hope it helps : )

Answer:

a) b, d, a

b) none

c) plane adb

d) adb

im prob wrong just need you to mark brainliest!

Answer:

it's the last option out of the list

Answer:

It is the last one (4th one).

1/2

what is whole number?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.

According to question,

heaviest squash than the lightest squash are,

\(7/8-3/8=4/8\)

\(=1/2\)

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Answer:

7 cookies

Step-by-step explanation:

42 - 35 = 7

The probability of selecting a black marble and then a red marble is 1/20.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Since the bag contains 5 black marbles ,7 blue marbles ,3 green marbles,4 red marbles , and 1 white marble. The total is 20 marbles.

The probability of selecting a black marble and then a red marble will be:.

= P(black) × P(red)

= 5/20 × 4/20

= 1/4 × 1/5.

= 1/20

The probability is 1/20.

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Answer:

11 shelves

Step-by-step explanation:

96/9= 10.6666

since you have more books you cannot round down you have to round up. so you need 11 shelves

Answer:

11

Step-by-step explanation:

96/9=10.6666

than round up

hope this helps

Using percentage, we can find that there is an error of 5% in the librarian's estimate.

The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. In ratio form, it is expressed as 30:100, and in fraction form, as 30/100. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100".

As per the question,

Estimated books:

For George Washington = 65

For Abraham Lincoln = 80.

Actual books:

For George Washington = 67

For Abraham Lincoln = 71.

Now total estimated books = 65 + 80 = 145

Now, total actual books =- 67 + 71 = 138.

Difference between them:

= 145 - 138

= 7

Now percent of error = 7/145 × 100

= 0.048 × 100

= 4.8

≈5%

Therefore, there is an error of 5% in the librarian's estimate.

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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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The two points are t = 10.095, and t = 0.216 in time when the object is 167 feet above the ground.

The quadratic function is defined as a function containing the highest power of a variable is two.

The projectile is shot vertically up into the air with an initial velocity of 165 feet per second from an initial height of 132 feet off the ground, then the height of the projectile,

h, in feet, t seconds after its shot is given by the equation:

h = -16t² + 165t + 132

To determine the two points in time when the object is 167 feet above the ground.

Substitute the value of h = 167 in the above equation,

167 = -16t² + 165t + 132

16t² - 165t - 132 + 167 = 0

16t² - 165t + 35 = 0

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a =16, b = -165 and c = 35

Using the quadratic formula to solve the above quadratic function

\(t = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(t=\frac{-\left(-165\right)\pm \sqrt{\left(-165\right)^2-4\cdot \:16\cdot \:35}}{2\cdot \:16}\)

\(t=\frac{-\left(-165\right)\pm \sqrt{24985}}{2\cdot \:16}\)

\(t=\frac{-\left(-165\right)+\sqrt{24985}}{2\cdot \:16},\:t=\frac{-\left(-165\right)-\sqrt{24985}}{2\cdot \:16}\)

\(t=\frac{165+\sqrt{24985}}{32},\:t=\frac{165-\sqrt{24985}}{32}\)

t = 10.095, t = 0.216

Hence, the two points are t = 10.095, and t = 0.216 in time when the object is 167 feet above the ground.

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Answer:

Conrad = r + 6

Step-by-step explanation:

Option (a) a statement shows you all of the deposits and withdrawals from your account, and an agreement shows you the terms of the account, such as fee structure and minimum requirements is the correct answer.

In this question,

An account statement is a periodic summary of account activity with a beginning date and an ending date. Account statements should be scrutinized for accuracy, and historical statements are critical for budgeting.

A checking account is a deposit account held at a financial institution that allows withdrawals and deposits. It is beneficial for anyone who wants to make frequent withdrawals or transactions from a bank account.

Account agreement means, with respect to an account, the agreements between an account owner and an obligor governing the terms and conditions of such account, as such agreements may be amended, modified or otherwise changed from time to time.

Thus from the definition, option (a) a statement shows you all of the deposits and withdrawals from your account, and an agreement shows you the terms of the account, such as fee structure and minimum requirements is the correct answer.

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Step-by-step explanation:

we have

2y = 4x - 9

and we want it to look like

...x + ...y = -9

simple.

the y term is already on the left side. we need to move the x term to the same side.

what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).

2y = 4x - 9 | -4x on both sides

-4x + 2y = -9

and we are finished. that's it.

Answer:

-4x + 2y = -9

Step-by-step explanation:

We are given the equation 2y=4x-9, and we want to convert it into standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.

Notice how in standard form, x and y are on the same side. Currently, x and y are on different sides.

Therefore, we first need to get x and y on the same side.

We can do this by subtracting 4x from both sides.

2y = 4x - 9

-4x   -4x

_____________

-4x + 2y = -9

As indicated by the -9 on the left side, we have solved the question, and are now done.

Hence, the answer is -4x + 2y = -9.

The total area of the given figure is 34 ft².

Area is the set of two - dimensional coordinates enclosed by a one - dimensional line. Mathematically, we can write area as -

A = ∫∫f(x, y) dx dy

Given is the figure as shown in the image.

We can write the total area as -

A = (2 x 5) + (9 x 1) + (1/2 x 3 x 2) + (4 x 3)

A = 10 + 9 + 3 + 12

A = 34 ft²

Therefore, the total area of the given figure is 34 ft².

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27.6

108/5= 21.6+6= 27.6

Answer:

The data shows a postive correlation.

Step-by-step explanation:

Answer:

x≤1/2

Step-by-step explanation:

4x+16 ≤18

Subtract 16 from each side

4x+16-16 ≤18-16

4x≤2

Divide by 4

4x/4 ≤2/4

x≤1/2

Answer:

38.00

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Let Jiri's age be 'x'. Pamela's age is 3x since Pamela's age is three times Jiri's age.

The sum of their ages is 116:

x + 3x = 116

4x = 116

x = 116 ÷ 4 = 29

x = 29

Jiri's age is 29