Write a function to convert Celsius to Fahrenheit using F=(9/5)C+32. Find the Fahrenheit value when C=56.7 and when C=−89.2. (The record high and low temperatures ever recorded on Earth.)
If x is the given temperature in Celsius, the function to return the equivalent temperature in Fahrenheit it:

f(x) = 9 / 5 * x + 32
f(x) = 9/5x + 32
f(x) = 9/5 * (x + 32)
f(x) = 9/5c + 32

The value in Fahrenheit at C=56.7 (a record high) is:
?

The value in Fahrenheit at C=−89.2 (a record low) is:
?

Using your function, f(C), to convert Celsius to Fahrenheit, compare the difference at C=20 between the function value and the simpler function: g(C)=2C+30. (In other words, is "double and add 30" a reasonable approximation?)

The difference f(C)−g(C) at C=21 (approximate room temperature) is:
?

Answers

Answer 1

The function used to convert Celsius to Fahrenheit is: 5/9(F - 32)

The Fahrenheit value when C = 56.7 is: 134.06

and when C = 89.2, F = -128.56, as found by basic algebra. If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).

What is basic algebra?

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.(1)

Given:

F = 9/5 × (C) + 32

F - 32 = 9/5 × (C)

5/9 × (F-32) = C(2)

For C = 56.7, in the above formula, by basic algebra, we get:

F = 9/5 × (56.7)+32

F = 102.06 + 32

F = 134.06

For C = -89.2, by basic algebra,

we get: F = (9/5) × (-89.2)+32

F = -160.56 + 32

F = -128.56(3)

We are given:

F = 9/5 (C) + 32

If f(x) represents the temperature in Fahrenheit, we get:

f(x) = 9/5 (C) + 32,

which is equivalent to Option A.

Hence, (1) The function used to convert Celsius to Fahrenheit is:

9/5(F-32)

(2) The Fahrenheit value when C = 56.7 is: 134.06 and when C = 89.2, F = -128.56, as found by basic algebra.

(3) If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).

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Related Questions

Ravi owns a plot of rectangular shape. He has fenced it with a length of 750ft. Length x= the breath by 5m find l and b

Answers

Rajesh own a plot of rectangular shape he has fenced it with a wire of length 750 ft . the length of the plot exceeds the breadth by 5ft.

The length of his plot is 190ft and breadth is 185ft.

Given that

Ravi owns a plot of rectangular shape. He has fenced it with a length of 750ft.The length of the plot exceeds the breadth by 5ft.

To find

The length and breadth of the plot ?

So, according to the question

We have,

The length of fenced wire is 750ft.

Let's assume

Breadth of plot = x.Length of plot = l.Length of fenced wire = W

He fenced this plot with a wire. So we can say this wire length is a perimeter of this plot of rectangular shape.

In mathematical form

           2 (length + breadth) = length of fenced wire

                               2 ( l + x) = W -------------------(1)

From question

the length of the plot = breadth + 5ft.

                                          l = x +5 ------------------(2)

Now, putting the value of equation (2) and W in equation (1)

Then, we get

                               2 ( l + x) = W -------------------(1)

                      2 [( x + 5) + x] = 750

                        2 [ x + 5 + x] = 750/2

                               [ 2x + 5] = 375

                                        2x = 375-5

                                        2x = 370

                                          x = 370/2

                                          x = 185ft

Now, putting the value of x in equation (2)

Then, we get

                                          l = x +5 ------------------(2)

                                          l = 185 +5

                                          l = 190ft

Length of this rectangular shaped plot = 190ft, andBreadth of this rectangular shaped plot = 185ft.

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What is: -7/8 - 4 4/5

Answers

Answer:-5.675

Step-by-step explanation:

Answer:

The answer is -227/40 or -5 27/40

Step-by-step explanation:

Easiest way to explain this is to first get the common denominator of the denominators of 5 and 8

This will equal 40 and we have to multiply the numerators as well so this will look like....

-35/40 - 4 32/40

Now we need to convert the whole number in -4 32/40 into a fraction

4 multiplied by 40 is 160 so we will need to add 160 and 32 making the equation now say -35/40 -192/40 which will equal -227/40

So this will make the answer -227/40 in fraction form and in a compound fraction it will be -5 27/40

Which statement accurately describes the reactants of a reaction?

new substances that are present at the end of a reaction

substances that do not participate in a reaction

new substances formed in the reaction

substances that are used up in a reaction

Answers

Answer:

substances that are used up in a reaction

Step-by-step explanation:

sorry this is so late

Answer:

substances that are used up in a reaction

Step-by-step explanation:

took the test got 100%

Use the extended form find the perimeter of the square shape of 10cm and 18cm

Answers

The perimeter of the square would be 56 cm

Sean bought 3/7 of a pound of cherries and then he ate 1/4 of a pound of them. When he got home, he saw that he still had 2/3 of a pound of cherries in his cupboard. How many total pounds of cherries does he have? Give your answer as an exact simplified improper fraction, not as a mixed number. Do not include units.

Answers

Answer:

71 /84

answer is not in imporper fraction.

Step-by-step explanation:

fractions need to be changed or converted to equivalent fractions inorder to solve them.

1.Total amount of cherries he bought and he already had in cupboard= 3/7 + 2/3

convert them to equivalent fractions inorder to add them by using LCM of the denominators.Which in this case is 21 (LCM of 7 and 3 is 21)

2. Now the common denominator is 21

change 3/7 to a fraction with 21 as denominator by multiplying the numerator to 3 and denominator also by 3 which will give you 3×3=9/ 7×3=21 or 9/21

note: you have to multiply both numerator and denominator by the same number which is used to convert the denominator to the number given by LCM.

3)Now change the second fractions denominator to 21 by multiplying the denominator 3 by 7 and numerator 2 to 7 :

2×7/3×7 = 14/21

4) Now the fractions have same denominator which means they can be added or subtracted.

5) Total amount of cherries he had= 9/21+14/21 = 23/21

6) The amount of cherries he ate = 1/4

7) Amount of cherries he has now with him after he ate 1/4 from 23/21 = 23/21 - 1/4

8) Again the fractions need to be changed to equivalent fractions inorder to subtract them.So,Take the LCM of the denominators (LCM 21 and 4 is 84).Now change the denominator of each fraction to 84.

9) 23/21 becomes 23× 4/21×4 = 92/84

1/4 becomes 1×21/4×21 = 21/84

now subtract them

92/84 - 21/84 = 71/84

71/84 cannot be properly divided so, 71/84 is the answer.

He has 71/84 pounds of cherries with him.

Nia and Junior went to the movies. The tickets are $3.00 each. Nia bought popcorn and a slushy for $8.50 together. Junior bought a slushy and nachos $12.00 together. How much money did they spend total?

Answers

Answer:

$26.50

Step-by-step explanation:

2(3)=6

8.50 + 12.00+ 6= 26.50

What is the result of 6÷3/8?

Answers

Answer:

16

Step-by-step explanation:

you can convert to a decimal

Answer:

6÷3/8

2/8

1/4

-------------------------

answer this question correctly and i'll give u brainliest pls

Answers

Answer:

Corresponding angles

Step-by-step explanation:

They have the same relative position to the parallel lines (in blue)

It’s A, corresponding.

Simplify 2x + 3y + 8x + 7y answer asap

Answers

Answer:

10x+10y

Step-by-step explanation:

Add like terms.

what will be the additive is 4​

Answers

pls write ✍️ a little more and correctly to understand

Answer:

The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -4?" or "What is the additive inverse of negative 4?" is 4. Since the additive inverse of 4 is -4, additive inverse is also known as the opposite number.

Step-by-step explanation:

can someone help me with this

Answers

m(D,x) = kD^2/√x

k = constant

k = (m√x) / D^2 = 20√16 / 5^2 ≅ 3.2

m(D,x) = 3.2 D^2 / √x

A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project

Answers

Answer:

The expected completion time of the project is:

10 days.

Step-by-step explanation:

Duration of Task A = 5 days

Task B and C depend on Task A

This implies that Task A must be completed before Task B and C can be started.

To complete Task B will take 5 days

To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)

Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B &C are mutually dependent

What is the expected completion time of a task?

Expected completion time of a task= p1x1 + p2x2

Where

p1 & p2 are probabilities.

x1 and x2 are samples.

p1=p2=0.5

x1=7

x2=3

Expected completion time of task C= 0.5*7+0.5*3 = 5 days

Task B and C will be due till task A is not accomplished.

Total time to accomplish task A = 5 days

Total time  to accomplish task B= 5 days

Expected time to accomplish task C = 5 days

If tasks B and C are mutually independent

expected time to complete the project = 5+5=10days

If task C depends on task B

Expected time to complete the project = 5+5+5 = 15 days.

Therefore

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B and C are mutually dependent

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what conclusion can be drawn by observing that 15 is to the right of 10 on a number line
A. 15 ≥ 10
B. 10 ≥ 15
C. 20 ≤ 15
D. 15 = 10

Answers

A that would be it A. 15>10 i cant write the line on the bottom sorry

Hi, Can anyone help me out here?

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

First, subrat 2 from 10 bc cleo used 2 feet last week:

10-2=8

cleo has 8 feet left of ribbon.

divide 8 by 1/6

8/1/6=47.9

aprox 48

hope its right

A test has 25 questions.
If peter gets 80% correct, how many questions did peter MISS!
(Whoever answers can you please give me a clear explanation?)

Answers

Answer:

Peter missed five questions.

Step-by-step explanation:

Since the test has twenty-five questions, and Peter got 80% correct...

80/100 = __/25 <--What number is the numerator?

Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.

Now, what is 80/4? If you do the math, you should get 20.

25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)

La suma de los cuadrados de dos enteros positivos consecutivos es 761. Cuales son los números?

Answers

Answer:

19 al cuadrado suma 20 al cuadrado es 761

Step-by-step explanation:

please help!!! due in 40mins i really need the answers

Answers

The steps are :

[tex]x + 2y = 13 - - - (1)[/tex]

[tex] - x + y = 5 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex]x + 2y + ( - x) + y = 13 + 5[/tex]

[tex]3y = 18[/tex]

[tex]y = 6[/tex]

[tex]substitute \: y = 6 \: into \: (2)[/tex]

[tex](2)⇒[/tex]

[tex] - x + 6 = 5[/tex]

[tex] - x = - 1[/tex]

[tex]x = 1[/tex]

Therefore, you have to insert the values into the coordinates form so the answer willl be (1 , 6).

Does this curve appear to have a positive slope or a negative slope? Why do you suppose that is the case?

Answers

Answer:

It has a negative slope

Step-by-step explanation: It's going down

negative slope, because the quantity (y axis) decreases as the price (x axis) increases, creating a downward slope

In ΔRST, r = 40 cm, s = 88 cm and t=70 cm. Find the measure of ∠S to the nearest degree.

Answers

Answer:

102.835≈103

Step-by-step explanation:

Answer: 103

Step-by-step explanation: Trust

Stacy earned $129.55 last week. Dave earned $127.95 last week. Carlos earned $127.05
last week. What are the earnings written in order from least to greatest?

Answers

Answer:

The total earnings is $384.55

The least earnings is

$127.05

$127.95

$129.55

2y-10=6x
plz help me

Answers

Answer: simplifying

Step-by-step explanation:

2y + -10 = 6x

Reorder the terms:

-10 + 2y = 6x

Solving

-10 + 2y = 6x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 2y = 10 + 6x

Combine like terms: -10 + 10 = 0

0 + 2y = 10 + 6x

2y = 10 + 6x

Divide each side by '2'.

y = 5 + 3x

Simplifying

y = 5 + 3x

Step-by-step explanation:

your well come...

How would you write the number displayed on the calculator screen in standard form

Answers

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

Kapow liquid detergent was on sale for $4.59 a gallon. If the sale price was 85% of the regular price, how much does one gallon of Kapow liquid detergent regularly cost?

(A)$5.28

(B)$5.40

(C)$6.09

(D)$8.49​

Answers

B because if you take 5.40 and multiply it by .85 it equals 4.59

Help meeee pleaseeeeee

Answers

Answer:

432

Step-by-step explanation:

8x9=72

72x6=432

432 is the answer. The first guy explains why

Find the nearest number before and after any real number.​

Answers

Answer:

add 1 and subtract 1

Step-by-step explanation:

so if u add and subtract 1. take 5. 5+1 and -1 is 4 and 6

Hope this helps :D

PLEASE HELP KINGSSSS

Answers

Answer:

30/52

Step-by-step explanation:

its a 26/52% chance to get a black card because 13 spain cards and 13 clovers add it together you get 26 and theirs 4 kings in a dack so add them both together 26/52+4/52=30/52

Answer: 30/52

Amanda has 2/3 apples. Make an equation to find how many 2/3 can go into 6.

Answers

Answer:

6 apples.

How I solved it:

2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3+ 2/3=

18/3

18/3=6

3/3=1

6/1= 6 apples.

The pH measurements of water specimens from various locations along a given river basin are Normally distributed with mean 8 and standard deviation 0.3. What is, approximately, the probability that the pH measurement of a randomly selected water specimen is a value between 7.5 and 8.2?
A. 0.3003
B. 0.6997
C. 0.9522
D. 0.9902

Answers

Answer:

0.699733

Step-by-step explanation:

Given that :

Mean (m) = 8

Standard deviation (s) = 0.3

Probability that pH is between 7. 5 and 8.2

Probability of pH < 7.5

P(x < 7.5)

The standardized score (Z) :

Z = (x - m) / s

Z = (7.5 - 8) / 0.3 = - 1.6667

p(Z < - 1.6667) = 0.047787 ( Z probability calculator)

Probability of pH < 8.2

P(x < 8.2)

The standardized score (Z) :

Z = (x - m) / s

Z = (8.2 - 8) / 0.3 = 0.6667

p(Z < 0.6667) = 0.74752 ( Z probability calculator)

Hence,

p(Z < 0.6667) - p(Z < - 1.6667)

0.74752 - 0.047787 = 0.699733

please, someone, tell me the answer

Answers

Answers:

Row 1:      1    3  

Row 2:     2    2

Each single digit gets its own box.

=======================================

Explanation:

Each row of three values must multiply to 12. We see that happening with the first two cuboids.

Cuboid A:  1*1*12 = 12

Cuboid B: 1*2*6 = 12

-------------

For cuboid C, we have two blank spaces multiplied with 4. Let's call these blank spaces x and y. We want to solve the equation x*y*4 = 12.

Divide both sides by 4 and you'll get x*y = 3

Since x and y are positive integers, this must mean either

x = 1 and y = 3

or

x = 3 and y = 1

Those are the only ways to multiply to 3 with two integers. But we can rule out the second case because the instructions say "Put the answers in order of size from left to right". Basically your teacher wants them sorted from smallest to largest. Refer to cuboid B for an example of what I mean.

So this means we have the values: 1, 3, 4 for cuboid C

---------------

Cuboid D is a similar story

Let x and y be the blank spaces. We can see that x*y*3 = 12 which becomes x*y = 4 after dividing both sides by 3.

This time we have three ways to do this and they are

x = 1 and y = 4x = 2 and y = 2x = 4 and y = 1

We can immediately rule out x = 4 and y = 1 because we need the answers sorted from smallest to largest.

We can also rule out x = 1 and y = 4 because the sequence 1,4,3 is not fully sorted from smallest to largest. Note how this is effectively a repeat of cuboid C (just in a different order).

The only thing left is x = 2 and y = 2

For cuboid D we have these dimensions: 2, 2, 3

The pressure, P (in lbs/ft2 ), in a pipe varies over time. Five times an hour, the pressure oscillates from a low of 90 to a high of 230 and then back to a low 90. The pressure at t = 0 is 90.

Question: Find a possible formula for P=f(t)

Answers

P=160-70*cos(2π*(1/12)*t)

Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

First, we find the amplitude by taking the difference between the peak values and dividing by two:

Amplitude=(230+90)/2=70

We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:

90+70=160

230-70=160

This tells us that the Center Value=160

The frequency that we are operating at is given as:

f = 5/hour

so in minutes

f=5*(1/60)/minute=5/60=1/12 per minute

So, combining everything we get

P=160-70*cos(2π*(1/12)*t)

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