how much of a 2 gram sample of silver-105 would remain after 6 days? round to three decimal places.

Step-by-step explanation:

step 1: note down the given quadratic equation and compare it with the standard form ax2 + bx + c

so from the equation given

a = 1

b = k -3

c = 3-2k

step 2: look at the hints given in the question and according to the hints choose the discrimination (b2- 4ac) of the equation

1) b2 - 4ac > 0 (positive), there are 2 real solutions

2) b2 - 4ac = 0 (zero), there is one real solution

3) b2 - 4ac < 0 (negative) , there are 2 complex solutions or no real roots

step 3

substitute the values of a,b and c in the suitable discrimination i.e b2 - 4ac > 0

(k-3)2 - 4(1)(3-2k) > 0

(k2 + 9) - (12-8k) > 0

k2 + 9 - 12 + 8k

k2 - 3 + 8k

that is k2 + 8k - 3

a) K does not satisfy the equation

answer:42

Step-by-step explanation: divide 63 by 3 then multiply that by 2

An equation that is true for all values of the variables in its domain is an identity

Hope that helps!

The order of the points starting with a and going clockwise around the circle is;

a ⇒ c ⇒d ⇒b

Here,

Four points, a, b, c, and d, lie on a circle having a circumference of 17 units.

b is 5 units counterclockwise from a.

c is 3 units clockwise from a.

d is 11 units clockwise from a and 6 units counterclockwise from a.

We have to find, The order of the points starting with a and going clockwise around the circle.

What is Circumference of circle?

The circumference is the distance around a circle or any curved geometrical shape.

Now,

b is 5 units counterclockwise from a.

b ⇒ a

c is 3 units clockwise from a.

b ⇒ a ⇒ c

d is 11 units clockwise from a and 6 units counterclockwise from a.

d ⇒ b ⇒a ⇒ c ⇒d

So, when we draw all points on circle we get;

The order of the points starting with a and going clockwise around the circle is;

a ⇒ c ⇒d ⇒b

This is shown in figure.

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The sum of the measured values 551, 37.0, 0.90, and 9.0 is 597.9, and the product of 0.0055 and 455.1 is 2.51. The product of 18.50 and π (pi) is 58.1. These answers are rounded to the correct number of significant figures based on the precision of the given values.

(a) The sum of the measured values 551, 37.0, 0.90, and 9.0 is 597.9 (rounded to the correct number of significant figures). When adding numbers, we consider the least precise measurement, which in this case is the value with the fewest significant figures, 0.90. Therefore, the sum is rounded to match the precision of that measurement.

(b) The product of 0.0055 and 455.1 is 2.51 (rounded to the correct number of significant figures). When multiplying numbers, we consider the number with the fewest significant figures, which in this case is 0.0055. Therefore, the product is rounded to match the precision of that number.

(c) The product of 18.50 and π (pi) is 58.1 (rounded to the correct number of significant figures). Since π is an irrational number, it is considered exact, and we only need to consider the precision of 18.50, which has four significant figures. Therefore, the product is rounded to match the precision of that number.

In conclusion, the sum of the measured values is 597.9, the product of 0.0055 and 455.1 is 2.51, and the product of 18.50 and π is 58.1. These values are rounded to the appropriate number of significant figures based on the precision of the given numbers.

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As a result, an experiment entails randomly selecting one of two urns and then drawing a marble from that urn. The probability that a green marble was picked is 0.524.

We are informed from the question that

Urn 1 has the following number of green marbles \(Ng=14\)

Urn 1 has the following number of yellow marbles \(Ny=15\)

Urn 2 has the following number of green marbles: \(n_{g} =11\)

Urn 2 has the following number of yellow marbles:\(n_{y}=8\)

The likelihood of selecting Urn 1 is \(P(U1) = 0.57\)

The likelihood of selecting Urn 2 is \(P (U2)= 1-0.57\)

                                                           \(P(U2)= 0.43\)

Let \(Nt\) be the total number of marbles in urn 1. Then,

Typically, Urn 1's total marble is \(Nt=Ng+Ny\)

                                                   \(Nt=14+15\)

                                                   \(Nt=29\)

Let \(nt\) be the total number of marbles in urn 1

Typically, Urn 2's total marble is n \(n_{t} = n_{g} +n_{y}\)

                                                     \(n_{t} =11+8\)

                                                     \(n_{t}=19\)

The likelihood of selecting green marble is typically

\(P(Ng)=P(U1)* \frac{Ng}{Nt} + [P(U2)*\frac{n_{g} }{n_{t} }]\)

\(P(Ng)=0.57*\frac{14}{29} + [0.43*\frac{11}{19} ]\)

\(P(Ng)=0.57*0.483+[0.43*0.579]\)

\(P(Ng)= 0.275+0.249\)

\(P(Ng)= 0.524\)

The probability that a green marble was picked is 0.524.

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EXPLANATION:

To know when a pair of triangles are congruent we must know the following:

-They must be the same length on all sides, and they must have the same measurement at their internal angles.

ANSWER:

Therefore the answer is A;the two triangles have the same measure on their sides and internal angles.(JKL ,ABC)

Answer:

B

Step-by-step explanation:

slope means the line is the amount of movement up or down, but b is not doing either, thus the slope is 0

Answer:

B

Step-by-step explanation:

Every other line has a slope except B

Answer:

2 acute 1 obtuse 1 right

Step-by-step explanation:

To solve the system of equations:

4x^2 + 9y^2 = 72

x^2 - y^2 = 5

We can use the method of substitution. Let's solve the second equation for x^2:

x^2 = y^2 + 5

Now substitute x^2 in the first equation:

4(y^2 + 5) + 9y^2 = 72

4y^2 + 20 + 9y^2 = 72

13y^2 + 20 = 72

13y^2 = 52

y^2 = 4

y = ±2

Substituting y = 2 into x^2 = y^2 + 5, we get:

x^2 = 2^2 + 5

x^2 = 9

x = ±3

Therefore, the solutions to the system of equations are:

(x, y) = (-3, 2), (-3, -2), (3, 2), (3, -2)

Listing the solutions with the smallest x-values and then the smallest y-value first, we have:

(-3, -2), (-3, 2), (3, -2), (3, 2)

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Data about a population is collected, recorded, and counted in a census.  The numerical summary measures obtained from the analysis of this population data are referred to as parameters.

Censuses of agriculture, traditional culture, businesses, supplies, and even transportation are also prevalent, while the phrase is most often associated with national population and housing counts.

The UN defines the essential characteristics of population and housing censuses as "individual enumeration, universality within a defined territory, simultaneity, and defined periodicity," and suggests that population censuses be conducted at least once every ten years.

The United Nations has made recommendations for what information should be collected in a census, including official definitions, classifications, and other data that might help international organizations coordinate their efforts.

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Using the test statistic formula, the test statistic is 7.3408.

In the given question,

We have to testing a claim about a population proportion of 0.2.

We have to find the test statistic given the following sample results:

Success (x) : 89

Sample Size (n) : 225

So estimation point,

p = x/n

p = 89/225

p = 0.396

We have to check the test hypothesis for:

H(0): P = 0.2

H(a): P > 0.2

Test Statistic Z = (p - P)/√P(1-p)/n)

Z = (0.396 - 0.2)/√(0.2(1-0.2)/225)

Z =0.196/√(0.2*0.8/225)

Z =0.196/√(0.16/225)

Z =0.196/√0.000711

Z =0.196/0.0267

Z = 7.3408

Hence, the test statistic is 7.3408.

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The probability that a randomly chosen Latin student is a sophomore is 6/19, so the m + n is 25.

New schools have 40% freshmen with all freshmen taking Latin, 30% are sophomores with 80% sophomores taking Latin, 20% are juniors with 50% juniors taking Latin, and 10% are seniors with 20% seniors taking Latin.

So, the total students taking Latin is,

= 40%*100% + 30%*80% + 20%*50% + 10%*20%

= 76% of all students.

Then, the students that taking Latin is sophomore,

= 30% * 80%

= 24%

So the probability of a randomly chosen Latin student is a sophomore is,

m/n = chance event occurs / total event

= 24% / 76%

= 6 / 19

Since m is 6 and n is 19, so m + n is 6 + 19 or equal to 25.

Your question is incomplete, but most probably your full question was

(image attached)

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The value of m + n, where m and n are relatively prime positive integers, is 25.

We know that the percentage of students learning Latin are:

(40% * 100%) + (30% * 80%) + (20% * 50%) + (10% * 20%) = 76%

And the percentage of sophomore students learning Latin are:

30% * 80% = 24%

So, the desired probability is:

24 / 76 = 6 / 19

which means 6 is m and 19 is n.

Thus, m + n = 6 + 19 = 25.

Hence, the value of m + n, where m and n are relatively prime positive integers, is 25.

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Although part of your question is missing, you might be referring to this full question: In a new school 40 percent of the students are freshmen, 30 percent are sophomores, 20 percent are juniors, and 10 percent are seniors. All freshmen are required to take Latin, and 80 percent of the sophomores, 50 percent of the juniors, and 20 percent of the seniors elect to take Latin. The probability that a randomly chosen Latin student is a sophomore is m/n, where m and n are relatively prime positive integers. Find m+n.

Answer:

x-intercept (2, 0)

Step-by-step explanation:

y = 2x² - 6x + 4

Factor

(2x - 2)(x - 2) = 0

2x - 2 = 0

2x = 2

x = 1

x-intercept (1, 0)

x - 2 = 0

x = 2

x-intercept (2, 0)

By using the factor method,

the other x-intercept of the parabola is (2, 0).

A parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the Directrix ).

Given:

One x-intercept for a parabola is at the point (1,0).

In factor form : (x - 1)

And the quadratic function,

y = 2x² - 6x + 4.

To find the factor of the equation:

2x² - 6x + 4 ÷ (x - 1)

We get,

(2x - 4) = 0

x = 4/2

x = 2

The other intercept of the parabola is (2, 0).

Therefore, the other x-intercept of the parabola is (2, 0).

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Answer:

2.10?????????????

The probability of drawing either a 2 or a red card is 6/13.

Mutually exclusive events The two events are not mutually exclusive because a card can be both a 2 and red. Since there are 2 red twos in the deck, we know that the probability of drawing a 2 is 2/52. We also know that there are 26 red cards in the deck (not including the two of hearts since it is already counted as a 2). Therefore, the probability of drawing a red card is 26/52 (which simplifies to 1/2).If we want to find the probability of drawing either a 2 or a red card, we can use the formula: P(2 or Red) = P(2) + P(Red) - P(2 and Red)Since we already know that P(2) = 2/52 and P(Red) = 26/52, we just need to find P(2 and Red). We know that there are only two cards in the deck that are both red and a 2 (the two of diamonds and the two of hearts), so the probability of drawing one of these cards is 2/52.

Therefore: P(2 or Red) = 2/52 + 26/52 - 2/52= 24/52= 6/13So the probability of drawing either a 2 or a red card is 6/13.

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Answer:

i need help too

Step-by-step explanation:

Answer:exact form: decimal form=

70082

Explanation=Write in radical form: exact form: decimal form: ...

Answer: exact form: decimal form: ...

Answer:              

(Theres not much of a way for me to type the answer, so i added it into a png. hope it helps!)

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 = 27

Step-by-step explanation:

10, 20, 32, 37, 50, 60

First things first, take off 10, 20, 50, and 60.

Now, you remain with 32 and 37. Now from here it is simple.

Average of 32 and 37 = 34.83

Round 34.83 to 35

32 averaging 37 (Rounding Terms) ≈ 35

So X is 27

The location of point G on the given number line is 4.

Given that, partitions the directed line segment from F to D into an 8:5 ratio.

A measureable path between two points is referred to as a line segment. Line segments can make up the sides of any polygon because they have a set length.

Since, the line is 13 units and 8:5 is 13 parts each proportion is 1 unit.

Which means 8 parts and 5 parts are on the line.

So, 8+(-4)

= 8-4

= 4

Therefore, the location of point G on the given number line is 4.

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Answer:

-5,2

Step-by-step explanation:

it literally represents LM and Shows it on the graph

Given that f(x)=-x^2+6x-1

f(1) = - 1^2 + 6(1) - 1

= -1 + 6 -1

= 4

f(3) = -3^2 + 6(3) - 1

= -9 + 18 -1

= 8

Hence

a. f(1) + f(3) = 4 + 8

= 12

b. f(1) - f(3) = 4 - 8

= -4

Answer:

\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)

Step-by-step explanation:

or:

x=5.29150262…,−5.29150262

Volume of refrigerator ---> cubic feet

Distance a person can run in 10 minutes ---> mile

The surface area of a tissue box ---> square inches

The perimeter of a baseball field ---> meters

The surface area of the moon ---> square kilometers

The volume of a large lake ---> cubic kilometers

The lenght of macaroni noodle ---> centimeter

The area of a bed sheet ----> square feet

Answer:

23.20

Step-by-step explanation:

join my stream for an explanation

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Answer:

α ≈ 23.20°

Step-by-step explanation:

given all 3 sides of the triangle , then any of the trig ratios may be used, that is sine, cosine or tangent to find α

tanα = \(\frac{opposite}{adjacent}\) = \(\frac{3}{7}\) , then

α = \(tan^{-1}\) ( \(\frac{3}{7}\) ) ≈ 23.20° ( to the nearest hundredth )

or

sinα = \(\frac{opposite}{hypotenuse}\) = \(\frac{3}{\sqrt{58} }\) , then

α = \(sin^{-1}\) ( \(\frac{3}{\sqrt{58} }\) ) ≈ 23.20° ( to the nearest hundredth )

or

cosα = \(\frac{adjacent}{hypotenuse}\) = \(\frac{7}{\sqrt{58} }\) , then

α = \(cos^{-1}\) ( \(\frac{7}{\sqrt{58} }\) ) ≈ 23.20° ( to the nearest hundredth )

Answer:

distance: 7.81 miles

Explanation:

simply use distance formula:  \(\sf \sqrt{(y_2 -y_1)^2 + (x_2-x_1)^2}\)

using the equation:

\(\hookrightarrow \sf \sqrt{(8-3)^2+(10-4)^2}\)

\(\hookrightarrow \sf \sqrt{(5)^2+(6)^2}\)

\(\hookrightarrow \sf \sqrt{25+36}\)

\(\hookrightarrow \sf \sqrt{61}\)

\(\hookrightarrow \sf 7.81 \ miles\)

Answer:

Step-by-step explanation:

question must be f(x)=5x-2/6

fog(x)= [5(6x+2/5)-2]/6 = [6x+2-2] /6 = x

gof(x)= [6(5x-2/6) +2]/5 = [ 5x-2+2]/5 = x

hence fog(x)=gof(x)