V64

(16
4
V20
5
Which of the following is an irrational number

Answers

Answer 1

Answer: V20

Step-by-step explanation:

Let's go down the list, shall we?

First, V64. I am going to assume that the V is a square root. If you take the square root of 64 you would get 8, which is not an irrational number.

2/2 would be one of the easiest, its just 1 if you simplify it

(16 would be a rational number, even if you took the square root.

4 is four, a rational number

V20 is an Irrational number, again, assuming that the V is a square root symbol, and you took the square root of it, you would get 4.472135955... an infinite number without a pattern

And 5 is just five, a whole number


Related Questions

PLEASE HELP ME I WILL MARK AS BRAINLIEST

A map has a scale of
5 in. = 10 mi. If you measured the distance between two cities to
be 17 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.

Answers

If you turn it into a ratio where x=miles; 5/10=17/x
X=34 miles

If the length of rectangle is 8.26cm and its breadth is 5.5cm, the find the
area of the rectangle

Answers

Answer:

Area of a rectangle= L×B

=8.26cm×5.5cm

=45.43cm square

Answer:

45.43cm squared

Step-by-step explanation:

Length times breadth =

8.26cm x 5.5cm.

8.26cm x 5.5cm = 45.43cm squared.

Using an algorithm is a good way to figure out this question. There are useful websites to teach you about them :)

. Jessica went to the grocery store and purchased a box of cereal for $3.75, milk for $1.50, and bread for $2.25. She paid with a $20.00 bill. How much change did Jessica receive?

Answers

$3.75 - cereal
$1.50 - milk
$2.25 - bread
—————————
$7.50

$20.00
- 7.50
—————
$ 12.50


She received $12.50 back

what expression would be equivalent to 4+12? 6(8+6) 12(4+1) 4(44+3) 8(6+4)

Answers

Answer:

12(4+1) i think

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\large\textbf{4 + 12}[/tex]

[tex]\huge\textbf{Convert it to an easier way to}\\\huge\textbf{understand or keep it as it is:}[/tex]

[tex]\large\textbf{= 12 + 4}[/tex]

[tex]\huge\textbf{The answer:}[/tex]

[tex]\large\textbf{= 16}[/tex]

[tex]\huge\textbf{Now, let's see which one of your choices}\\\huge\textbf{are equivalent to your original equation.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\large\textbf{6(8 + 6)}[/tex]

[tex]\large\textbf{= 6(8) + 6(6)}[/tex]

[tex]\large\textbf{= 48 + 36}[/tex]

[tex]\large\textbf{= 84}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{6(8 + 6)}[/tex]

[tex]\large\textbf{= 6(14)}[/tex]

[tex]\large\textbf{= 84}[/tex]

[tex]\large\textbf{84 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\large\textbf{12(4 + 1)}[/tex]

[tex]\large\textbf{= 12(4) + 12(1)}[/tex]

[tex]\large\textbf{= 48 + 12}[/tex]

[tex]\large\textbf{= 60}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{12(4 + 1)}[/tex]

[tex]\large\textbf{= 12(5)}[/tex]

[tex]\large\textbf{= 60}[/tex]

[tex]\large\textbf{60 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\large\textbf{4(44 + 3)}[/tex]

[tex]\large\textbf{= 4(44) + 4(3)}[/tex]

[tex]\large\textbf{= 176 + 12}[/tex]

[tex]\large\textbf{= 188}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{4(44 + 3)}[/tex]

[tex]\large\textbf{= 4(47)}[/tex]

[tex]\large\textbf{= 188}[/tex]

[tex]\large\textbf{188 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\large\textbf{8(6 + 4)}[/tex]

[tex]\large\textbf{= 8(6) + 8(4)}[/tex]

[tex]\large\textbf{= 48 + 32}[/tex]

[tex]\large\textbf{= 80}[/tex]

[tex]\large\textsf{OR}[/tex]

[tex]\large\textbf{8(6 + 4)}[/tex]

[tex]\large\textbf{= 8(10)}[/tex]

[tex]\large\textbf{= 80}[/tex]

[tex]\large\textbf{80 }\boxed{\neq}\large\textbf{ 16}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\textsf{None of the above}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If KL = x + 4, LM = 2, and KM = 5x − 3, what is KL?

Answers

2x- 6 is 5x + 3

your answwr

explain all steps in detall. Incluide your final answer.. 9²+3•(9-5)²/4=

Answers

Answer: 93

Step-by-step explanation:

To solve this problem, we need to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

For multiply/divide and add/subtract, you don't necessarily go in that specific order. You go from left to right, depending on what comes first. For example, if division comes before multiply, you would divide first, then multiply. Same goes for add/subtract.

9²+3×(9-5)²/4                          [solve parenthesis]

9²+3×(4)²/4                              [solve exponent]

81+3×16/4                                [solve multiply or divide, whichever comes first]

81+12                                        [solve add or subtract, whichever comes first]

93

Now, we know that 93 is our final answer.

Each ounce of Food I contains 3 g of carbohydrate and 2 g of protein, and each ounce of Food II contains 5 g of carbohydrate and 3 g of protein. Suppose x ounces of Food I are mixed with y ounces of Food II. The foods are combined to produce a blend that contains exactly 73 g of carbohydrate and 46 g of protein.
a. Explain why there are 3x + 5y g of carbohydrate in the blend and why we must have 3x + 5y = 73. Find a similar equation for protein. Sketch the graphs of both equations.
b. Where do the two graphs in part (a) intersect? Interpret the significance of this point of intersection

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Food I contains 3 g of carbohydrate and food II 5 g of carbohydrate. x is the number of ounce of food I while y is the number of ounce of food II.

Therefore, the amount of carbohydrate in food 1 is 3x while that of food II is 5y. Since the blend contains  exactly 73 g of carbohydrate, the total number of carbohydrate in both food I and food II is 73 g. Hence:

3x + 5y = 73                    (1)

Food I contains 2 g of protein and food II 3 g of carbohydrate. Therefore, the amount of protein in food 1 is 2x while that of food II is 3y. Since the blend contains  exactly 46 g of protein, the total number of protein in both food I and food II is 46 g. Hence:

2x + 3y = 46                   (2)

Using geogebra to Sketch the graphs of both equations.

b) The point of intersection is gotten from the graph, this gives x = 11, y = 8.

The point of intersection shows the amount of food I and food II that give the required amount of protein and carbohydrate.

11 ounce of food I and 8 ounce of food II would produce the required amount of protein and carbohydrate

(3 + 4i) - (8 -5i) Write answer in standard form a +bi Group of answer choices
A:-5+9i
B:-5 + 9i

Answers

Answer:

[tex]A=-5+9i[/tex]

Step-by-step explanation:

[tex]\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i[/tex]

Before the election, you want to determine the number of possible president/vice-president combinations for the sorority you belong to. if both positions are chosen from nine people, how many combinations are possible​

Answers

Answer:

The possible number of combination to select two positions from 9 people is 72.

The temperature went from -6°F to -11°F. What was the change in temperature? 17°F -17°F -5°F 5°F

Answers

Answer:it got colder by more than 2 degrees

Answer:

well It would have been a change of -5ºF

Josiah subtracts 337 from 600 and writes the following
600 minus 300 is 300. Then I can subtract 40 more and get 260. But I should have only subtracted 37
more, so I'll add 3 back to my difference to get 263
Which montal math strategy did Josiah use?

Answers

Answer:

Associative property is the math strategy Josiah used

What is the value of this expression?
6 + 24 % 3 x 4 %2

Answers

Answer:

22

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

6 + 24 ÷ 3 x 4 ÷ 2

Step 2: Divide

6 + 8 x 4 ÷ 2

Step 3: Multiply

6 + 32 ÷ 2

Step 4: Divide

6 + 16

Step 5: Add

22

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.) midpoint ​(​1,6​), endpoint ​(-2​,​1)

Answers

Answer:

(4,11)

Step-by-step explanation:

Given two coordinates (x₁, y₁) and (x₂,y₂), the midpoint of the coordinates is expressed as M(X,Y) = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where;

[tex]X = \dfrac{x_1+x_2}{2}\ and \ Y = \dfrac{y_1+y_2}{2}[/tex]

Given the midpoint (X, Y) = (1,6) and one end point to be ​(-2​,​1), to get the unknown endpoint (x,y), we will apply the formula above. from the coordinates given X = 1, Y = 6, x₁ = -2 and y₁ = 1

[tex]Given \ X = \dfrac{x_1+x_2}{2}\\1 = \dfrac{-2+x}{2}\\cross \ multiply\\2 = -2+x\\x = 2+2\\x = 4[/tex]

Similarly to get y;

[tex]Given \ Y = \dfrac{y_1+y}{2}\\6 = \dfrac{1+y}{2}\\cross \ multiply\\2*6 = 1+y\\12 = 1+y\\y = 12-1\\y = 11[/tex]

Hence the unknown endpoint (x,y) is (4,11)

Which statement is true about the two lines whose equations are given below?
y =
= 3x + 2
y = -4x + 9
A.
The lines are parallel.
B.
The lines are perpendicular.
The lines intersect but are not perpendicular.
C.
D.
The lines coincide.

Answers

Answer:

  C.  The lines intersect but are not perpendicular.

Step-by-step explanation:

The slopes (x-coefficients) of these lines are 3 and -4. They are different, but their product is not -1. Lines with different slopes are distinct lines that will intersect. If the product of their slopes is -1, they are perpendicular.

The lines intersect but are not perpendicular.

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400 hours. You work for a consumer group that has decided to examine this claim. Technicians ran 16 NarStor hard drives continuously for almost three years. Recently the last drive failed. The times to failure (in hours) are given in the following table. Give the test statistic.330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

Answers

Answer:

The test statistics is  [tex]t  =  -1.727[/tex]

Step-by-step explanation:

From the question we are told that

The data given is  

   330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

 The population mean is  [tex]\mu  =  14400[/tex]

    The  sample  size is  n =  16

  The  null hypothesis is  [tex]\mu \le  14400[/tex]

    The  alternative hypothesis is  [tex]H_a  :  \mu > 14400[/tex]

The sample mean is mathematically evaluated as

  [tex]\= x  =  \frac{\sum x_i}{n}[/tex]

So

   [tex]\= x  =  \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}[/tex]

=>  [tex]\= x = 10799.9[/tex]

The  standard deviation is mathematically represented as

      [tex]\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}} [/tex]

So

[tex]\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}}  \ ..[/tex]

   [tex]..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2  }{16}} \ ...[/tex]

  [tex]\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}[/tex]

=>  [tex]\sigma  =  8340[/tex]

  Generally the test statistic is mathematically represented as

  [tex]t =  \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }[/tex]

[tex]t  =  -1.727[/tex]

From the z-table  the p-value is  

     [tex]p-value  = P(Z > t) =  P(Z >  -1.727) =  0.95792[/tex]

 From the values obtained we see that

        [tex]p-value  >  \alpha[/tex]  so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

Solve for x: −2(x + 3) = −2x − 6

Answers

Answer:

All real numbers

Step-by-step explanation:

Solution set of -2(x +3) = -2x -6 is all x ∈R (real numbers).

What is equation?

" Equation is defined as when two algebraic expression which are related with the sign of equality."

According to the question,

Given,

-2(x + 3) = -2x - 6

Open the brackets of the equation we get,

-2(x) + (-2)(3) = -2x - 6

⇒ -2x - 6 = -2x - 6

Add 6 on both the sides of the equation we get,

-2x = -2x

Divide by -2 of the equation both sides

x = x                                 _____(1)

Add (-x) both the sides we get,

0 = 0                                 _____(2)

From (1) and (2) we conclude ,

Solution is true for all  the real values of x.

Hence, solution set of -2(x +3) = -2x -6 is all x ∈R (real numbers).

Learn more about equation here

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A square calendar has sides that are 7 inches long. What is the calendar's area?

Answers

Answer:

49

Step-by-step explanation:

7x7=49

Answer:

49

Step-by-step explanation:

7x7=49

What is the image point of
(−5,−3) after a translation right 4 units and down 1 unit?

Answers

Answer:

(-1,-4)

Step-by-step explanation:

(-5,-3) if we're moving four units right on the x axis, it would be a bigger number near the center.  Think of it as adding -5 and 4, which would get you -1 for x (-1,x)

Now to get y, we would basically do the same thing except if it's going down, it would be a negative.  We would add both -1 and -3 together to get -4, hence the answer, (-1,-4)

I suggest drawing a graph and doing it yourself, it'll really help you.

Techside Real Estate, Inc. is a research firm that tracks the cost of apartment rentals in Southwest Virginia. In mid-2002, the regional average apartment rental rate was $895 per month. Assume that, based on the historical quarterly surveys, it is reasonable to assume that the population standard deviation is $225. In a current study of apartment rental rates, a sample of 180 apartments in the region provided the apartment rental rates.
a. Do the sample data enable Techside Real Estate, Inc. to conclude that the population mean apartment rental rate now exceeds the level reported in 2002? The sample mean is $915 and the sample standard deviation is $227.50. Make your decision based on α=0.10.
b. What is the P-value?

Answers

Answer:

1) we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002

2) P - value = 0.116435

Step-by-step explanation:

We are given;

Population mean; μ = $895

Sample mean; x' = $915

Population standard deviation; σ = $225

Sample standard deviation; s = $227.50

Sample size; n = 180

Let's state the hypothesis;

Null hypothesis;H0: μ ≤ $895

Alternative hypothesis;Ha: μ > $895

Now, the z-score formula is;

z = (x' - μ)/(σ/√n)

Thus, we are making use of the population standard deviation

z = (915 - 895)/(225/√180)

z = 20/16.7705

z = 1.193

From online p-value from z-score calculator attached, with α = 0.10, one tail, we have;

The P-Value is 0.116435

This is more than the significance level of 0.1, thus we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002

The Megasoft company gives each of its employees the title of programmer (P) or project manager (M). In any given year 70% of programmers remain in that position 20% are pro- moted to project manager and 10% are fired (state X). 95% of project managers remain in that position while 5% are fired. How long on the average does a programmer work before they are fired?

Answers

Answer:

it will take a programmer about 16.67 times to work before they are fired

Step-by-step explanation:

From the information given;

The transistion matrix for this study can be computed as:

       P          M         X

P     0.7      0.2        0.1

M     0        0.95     0.05

X      0        0            1

where;

The probability that the programmer remains a programmer = [tex](P *P)[/tex]

The probability that the programmer turns out to be a manager = [tex](P*M)[/tex]

The probability that the programmer is being fired = [tex](P*X)[/tex]

Thus, the required number of years prior to the moment being fired for an employee y(P), for programmer and y(M) for manager is represented by ;

[tex]y(P)=1+0.7y(P)+0.2y(M)[/tex]

[tex]y(M)=1+ 0.95y(M).[/tex]

[tex]0.05y(M)=1[/tex]

y(M) = [tex]\dfrac{1}{0.05}[/tex]

y(M) =20

y(P)=1+0.7y(P)+0.2y(M)

y(P) - 0.7y(P) = 1 + 0.2y(M)

0.3y(P) = 1 + 0.2(20)=1+4

0.3y(P) = 1 + 4

0.3y(P) =  5

[tex]y(P)=\dfrac{5}{0.3}[/tex]

[tex]y(P)=16.67[/tex]

Therefore, it will take a programmer about 16.67 times to work before they are fired

what is five added to twice a number​

Answers

2x+5

Step-by-step explanation:

let the number be x

According to the question

2x+5

hope it whould help

Simplify the expression.
(2x^2y)^3

Answers

Answer:

=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

.

y

3

.

2

=

2

2

.

x

4

.

y

6

=

4

x

4

y

6=

4

x

4

y

6

Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

x

2

.

2

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y

3

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2

=

2

2

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x

4

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y

6

=

4

x

4

y

6=

4

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4

y

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Explanation:

(

2

1

x

2

y

3

)

2

Here

2

needs to be multiplied with each term within the bracket:

=

2

1

.

2

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Step-by-step explanation:

What is 12 raised to the first power?

Answers

Answer:

12^1 = 12

Step-by-step explanation:

Any number raised to the power of one equals the number itself.

Alan can do 2/3 part of his work and sam can do 3/4 part of her work .Who can do more work​

Answers

Answer:

Sam can do more work.

Step-by-step explanation:

2/3 equals out to just over half of his work done. 0.66666667.

3/4 equals out to almost all of her work done. 0.75.

*hope this helps*

Answer:

Sam can do more work:)

Step-by-step explanation:

students surveyed about birthdays. How many more students were born on monday than friday?
a) 4 students
b) 1 students
c) 2 students
d) 3 students

Answers

C) 2 students
Explanation
Take Monday’s amount and subtract Friday’s
3-1=2

Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances have an equal mass.

Answers

Answer:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

Step-by-step explanation:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

In the diagram,
AB =BC,AC = CD, and AD
12. Find the
lengths of all segments in the diagram. Suppose you
choose one of the segments at random. What is the
probability that the measure of the segment is greater
than 3? Explain your reasoning.

Answers

Answer:

Probability that the measure of a segment is greater than 3 = 0.6

Step-by-step explanation:

From the given attachment,

AB ≅ BC, AC ≅ CD and AD = 12

Therefore, AC ≅ CD = [tex]\frac{1}{2}(\text{AD})[/tex]

                                  = 6 units

Since AC ≅ CD

AB + BC ≅ CD

2(AB) = 6

AB = 3 units

Now we have measurements of the segments as,

AB = BC = 3 units

AC = CD = 6 units

AD = 12 units

Total number of segments = 5

Length of segments more than 3 = 3

Probability to pick a segment measuring greater than 3,

= [tex]\frac{\text{Total number of segments measuring greater than 3}}{Total number of segments}[/tex]

= [tex]\frac{3}{5}[/tex]

= 0.6

If 3 out of 24 students made an "A" what percent of students
made an "A"?

Answers

3 / 24 = 12.5% - hope this helps

Solve the equation x2 = 5.

Answers

Answer:

±√5

Step-by-step explanation:

x² = 5

x = ±√5

The solution to the equation [tex]x^2=5[/tex] is [tex]x = \pm \sqrt{5}[/tex].

How to evaluate and solve the given equation?

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

[tex]x^2=5[/tex]

By taking the square root of both sides of the equation, we have:

[tex]x = \pm \sqrt{5}[/tex].

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The function C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).
The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale. Write a function to convert 77°F to the Kelvin scale.

To express temperature in Kelvin as a function of Fahrenheit, compose the functions as(_*_)(_).

Now, derive the function described above and use it to express 77°F as ___K.

Answers

Answer:

K(F) = 5/9 (F - 32) + 273.15

K(F)=298.15k

Step-by-step explanation:

C(F) =5/9 (F - 32) is used to convert temperature from Fahrenheit (F) to Celsius (C).

C(F) =5/9 (F - 32)

The function K(C)= C + 273.15 is used to convert temperature from Celsius (C) to the Kelvin (K) scale.

K(C)= C + 273.15

K(c) - 273= C

Equating both values of C

K(F) - 273.15=5/9 (F - 32)

K(F) = 5/9 (F - 32) + 273.15

If F = 77°F

K(F) = 5/9 (F - 32) + 273.15

K(F) = 5/9(77-32) + 273.15

K(F) = 5/9(45) +273.15

K(F) = 25+273.15

K(F)=298.15k

Answer:

K

C

F

298.15

Step-by-step explanation:

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