C=59(F−32)The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59degree Celsius. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer 1

Answer:

D

Explanation:

Our answer choices are:

- A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.

- A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

- A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

Let's try the first one. We can just choose any temperature and then use the number 1 larger than it; let's do F = 10:

C = (5/9) * (10 - 32) = (5/9) * (-22) ≈ -12.2

When F = 10 + 1 = 11:

C = (5/9) * (11 - 32) = (5/9) * (-21) ≈ -11.7

We see that indeed, -11.7 - (-12.2) ≈ 0.56 ≈ 5/9, so the first is correct.

For the second, let's see what happens when C = 10 and when C = 11:

10 = (5/9) * (F - 32)

F = 50

11 = (5/9) * (F - 32)

F = 51.8

Again we see that indeed 51.8 - 50 = 1.8

So, the second choice is also correct.

Thus, the answer is D.

Answer 2

Answer:

D

Explanation:

C = 5/9(Fahrenheit - 32)

C = 5/9Farenheit - 160/9

F = 9C/5 + 32

As Fahrenheit increases by 1, C increases by 5/9.

As C increases by 1, Fahrenheit increases by 9/5 (1.8)

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9degree Celsius. (True)

A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. (True)

A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. (False)


Related Questions

In the last hour, Ellie observed 32 monarchs, 56 gulf fritillaries, and 8 giant swallowtails visit her butterfly garden. If 480 butterflies visit her garden, how many can we expect will be giant swallowtails?

Answers

Answer:

40 is the answer

Explanation:

As per the given details, we can expect that 40 of the 480 butterflies that visit Ellie's garden will be giant swallowtails.

What is fraction?

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator.

Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.

The total number of butterflies observed in the last hour is:

32 + 56 + 8 = 96

This represents the fraction of the total butterflies that were observed, and we can set up a proportion to solve for the number of giant swallowtails in the total population:

8/96 = x/480

Multiplying both sides by 480, we get:

x = (8/96) * 480

x = 40

Therefore, we can expect that 40 of the 480 butterflies that visit Ellie's garden will be giant swallowtails.

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What is the distinguishing feature of a coronavirus

Answers

Answer:

The common cold, though rarer forms can be lethal, such as SARS, MERS.

Explanation:

We cant go outside no more or see are friends:(

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Answers

Answer:?

Explanation: Me neither

Will give brainliest! please answer correctly!

Answers

The answers are A and C

If explanation is needed let me know
Answer:
It is A and C

Explanation:

The triangles below are similar. The ratio of the lengths of corresponding sides is 49 . a. What is the ratio (smaller to larger) of the perimeters? b. What is the ratio (smaller to larger) of the areas? The image is of two similar triangles with proportionate side of each marked as 4 in. and 9 in. respectively.

Answers

Answer:

a.) 4 : 9

b.) 16 : 81

Explanation:

a.) Ratio of perimeter will still be

4 : 9

b.) The two similar triangles  ΔABC and ΔDEF as shown from the attached figures. That is

AB/DE = AC/DF = BC/EF

It is apparent that ΔAPB and ΔDEQ are also similar as all respective angles are equal. Hence,

AB/DE = AP/DQ = BP/EQ

Moreso ΔABC = 1/2 × BC × AP  and   ΔDEF = 1/2 × EF × DQ and

ΔAPB/ΔDEQ = BC/EF × AP/DQ

But 

AP/DQ = AB/DE = BC/EF

 and hence

ΔAPB/ΔDEQ = BC/EF × BC/EF

= BC^2/EF^2  and as

BC/EF = AC/DF = AB/DE

ΔAPB/ΔDEQ = AC^2/DF^2 = BC^2/EF^2

= AB^2/DE^2

Hence if sides of two similar triangles are in the ratio a:b, their areas are in the proportion a^2:b^2

As in given case sides are in the ratio of 4:9.

ratio of their areas is 4^2:9^2 or 16:81.

The ratio (smaller to larger) of the perimeters of this similar triangle is equal to 4:9 and 16:81 for their areas.

Given the following data:

Ratio = 4:9Side length of smaller triangle = 4 inches.Side length of larger triangle = 9 inches.

What is a triangle?

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

How to calculate the perimeter of a triangle.

Mathematically, the perimeter of a triangle is given by this formula:

[tex]P=A+B+C[/tex]

Where:

A, B, and C are length of sides.

What is scale factor?

Scale factor can be defined as the ratio of two (2) corresponding length of sides in two similar geometric figures such as equilateral triangles.

In Geometry, if the scale factor of two (2) similar geometric figures is given as a:b, then;

The ratio of their perimeters is equal to a:b.The ratio of their areas is equal to [tex]a^2:b^2[/tex].

In conclusion, the ratio (smaller to larger) of the perimeters of this similar triangle is equal to 4:9. Also, the ratio (smaller to larger) of their areas is equal to [tex]4^2 :9^2=[/tex] 16:81.

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A piece of land was purchased for $65,000. The value of the land has slowly been decreasing by 1% annually. How much will the land be worth in 20 years?

Answers

Final answer:

Explained how to calculate the decreased value of land after 20 years with an annual 1% decrease.

Explanation:

The land value after 20 years:

To calculate the value of the land after 20 years with a 1% annual decrease, you can use the formula:

V = $65,000 x (1 - 0.01)^20

After 20 years, the land will be worth approximately $43,206.08.

A ____ is used to apply for jobs or even to college.
A. cover letter
B. work history report
C. job description
D. résumé​

Answers

The right answer, to confirm that the top answer is right, is D) Resume.

A resume is used to apply for jobs or even to college.

What is Resume?

The secret to producing a résumé that stands out is preparation. You will save time and ensure that you present your best self if you have your crucial facts prepared. These are some helpful resume writing tips.

While crafting a strong CV, you must analyze your relevant experience and match it to the demands of the position you're applying for.

Before you can start writing a resume, you must first format one. Three forms are accepted as standards. Choose the resume format that best suits your level of work experience and your career objectives by using the same elements of a resume but organizing them differently.

Therefore, A resume is used to apply for jobs or even to college.

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Will give brainliest! please answer correctly!

Answers

Answer:

B

Explanation:

Answer:

C. There is no solution

Explanation:

brainliest?

Bella is making button barrettes. She allows each of her friends to reach into her bag of buttons and randomly select a color. Then she replaces it with the same color button and shakes the bag before letting another friend pick a color. Bella's bag of buttons contains the colors below. Which model shows the probability of randomly selecting each color button from her bag? If 50 her friends choose a button from the bag, about how many pink barrettes can she expect make?

Answers

Answer: 6

Explanation:

As per the given data, if 50 her friends choose a button from the bag, she can expect to make 6 pink barrettes.

What is probability?

Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are. Statistics is the study of events governed by probability.

It is based on the likelihood of something occurring. The reasoning behind probability is the foundation of theoretical probability. If a coin is tossed, the theoretical probability of getting a head is 1/2.

Here, it is given that,

Total no. of buttons = 300 + 700 + 1000 + 500 = 2500

probability for a person to pick a pink button = 300/2500 = (3/25)%

Number of pink buttons she can expect her friends to pick = 50(3/25) = 6

Thus, the answer is 6.

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Select all of the measurements that are equivalent to 528 meters.

A. 52,800 cm

B. 528,000 km

C. 5,280 cm

D. 528,000 mm

E. 0.528 km

Answers

Answer:Answer A and Answer E are correct.

Explanation:

[tex]528m = 52800cm \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.528km[/tex]

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. What is Aaron’s total charge, in dollars, for staying 3 nights?

Answers

Answer:

The total charge of Aaron after 3 nights:

C = 99.95 x (1 + 8/100) x 3 + 5 = 328.84 dollar

Hope this helps!

:)

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. Aaron’s total charge, in dollars, for staying 3 nights is 328.84 dollars.

What is the charge?

Charge or payment is a given amount of money on which, in exchange, we get to use things or buy things. Hotels, restaurants, and café are the places that charge you money in exchange for using their resources.

Given, the hotel charges $99.95 per night

The tax applied is 8% for the room rate

An additional one-time charge is $5.00

The total charge in dollars is:

The total charge of Aaron after 3 nights:

C = $99.95 x (1 + 8 / 100) x 3 + $5 = 328.84 dollar

As, 8%, so 8 will be divided by 100 and all others are money in dollars.

Therefore, the total charge to Aaron after 3 nights is $328.84.

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