[tex]=59(F−32)[/tex]
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
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A 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:

Think of the equation as an equation for a line  y = m x + b  where in this case  C = 5 9 ( F − 32 )  or  C = 5 9 F − 5 9 ( 32 )  You can see the slope of the graph is  5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is  5 9  of 1 degree Celsius.  C = 5 9 ( F )  C = 5 9 ( 1 ) = 5 9  Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  9 5  degrees Fahrenheit.  C = 5 9 ( F )  1 = 5 9 ( F )  ( F ) = 9 5  Since  9 5  = 1.8, statement II is true.  The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of  5 9  degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:  C = 5 9 ( F )  C = 5 9 ( 5 9 )  C = 25 81 ( which is ≠ 1 )  An increase of  5 9  degree Fahrenheit leads to an increase of  25 81 , not 1 degree, Celsius, and so Statement III is not true.  The final answer is D.


Related Questions

In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.

Which equation can be used to find the nth term of the sequence, an?


an=9n+4

an=4n+9

an=7n−4

an=4n−7

Answers

Answer:

an=4n−7

Step-by-step explanation:

Just took the test hope this helps

"five times the difference of x and 4" represent?

Answers

Answer:

5(x-4) or 5(x-4)

Step-by-step explanation:

(not 100% sure though)

[tex]five \: times \: the \: difference \: of \: x [/tex]

[tex]and \: 4 \: represents \: 5(x - 4)[/tex]

The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle​

Answers

Answer:

2471.81

Step-by-step explanation:

Let I be the interest, r the annual rate and P the principal. Then:

I = P(r)^2 = 5460

I = P(r)^4 = 12060.6

so r^2 = P(r)^4 /  P(r)^2 = 12060.6/5460

r^2 = 2.2089

r = 1.486

So  P(r)^2 = P* 2.2089 = 5460

P = 5460 / 2.2089 = 2471.81.

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Answers

Answer:

Step-by-step explanation:

180 = 2x + 10 +3x

170 = 5x

34 = x

m∠B = 3(34) = 102°

help with math please​

Answers

Answer:

1. 3

2. 2 ⅖

3. 1 3/7

4. 3 ⅕

5. 5

Step-by-step explanation:

basically to find the answer, just see how many times the bottom number can go into the top number, if its not even just put the extra into a fraction ex question 2 3 and 4.

please help!!
factor the quadratic by using the box

Answers

Answer:

thus therefore thy answer musnt be 6 thus forth -3

What is the radius of this circle?

Answers

Answer:

5 cm

Step-by-step explanation:

Here, In given circle the radius is 5cm

-TheUnknownScientist

Determine the coordinates of the vertices of the rectangle to compute the area of the rectangle using the distance formula (round to the nearest integer). A) 39 units2 B) 52 units2 C) 64 units2 D) 78 units2

Answers

Answer:

78

Step-by-step explanation:

I just got it right

i need help with this please

Answers

Answer:

diameter = 24 yards

Step-by-step explanation:

C = π·d

75.36 = 3.14d

d = 75.36/3.14

d = 24

HELP ME I WILL GIVE BRAINLY IF I WAS BORN SEPTEMBER 13th and I WAS 16 WHAT YEAR WAS I BORN

Answers

Answer:

2004

Step-by-step explanation:

if it was 2005 theyd be 15

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.

Answers

Answer:

7.25h=348

Step-by-step explanation:

Is this a function?
A) No
B) yes

Answers

Answer:a

Step-by-step explanation:

no

(dont mind this wreath habit tdd fi gcs rgb yd UK FCC hash if sgf j.g ch hff vou j.g fyi utf fi oh fry it ey HD st ugh)

The value of the power (-8) ti the second power is

Answers

Answer:

64

-8 to the second power is -8^2 Which is -8×-8 Which gives 64

Select all of the following answer choices that are reciprocals of each other.
A. 2 and 1/2
B. -5 and 5
C. -7 and -1/7
D. 3 and 4

Answers

C is the answer. Hope it helps

Suppose quadrilateral ABCD is a square and the slope of BC is -n. What is the slope of AB?

Answers

Answer:

-p?

Step-by-step explanation:

The height of the cylinder is 18 meters and the volume of the cylinder is 4,374 cubic meters. What is the area of the base of the cylinder?

Answers

Answer:

242.76m^2

Step-by-step explanation:

Given data

Height=18m

Volume=4,374m^3

We know that the expression for the volume of a cylinder is

V=πr^2h

substitute

4374=3.142*r^2*18

4374=56.556*r^2

4374/56.556=r^2

77.339=r^2

r=√77.339

r= 8.79m

But the area of a circle is expressed as

A= πr^2

A=3.142*8.79^2

A=3.142*77.2641

A=242.76m^2

Hence the area of the base is 242.76m^2

SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?

Also, what is a possible solution to x ≥ −2?

Please answer all of the questions in sentence form.

Answers

Answer:

this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open

Step-by-step explanation:

Answer:Closed Circle To the right

Complete the factorization of 3x2 – 5x + 2
.


Answers

The answer is 3x2-5x+2

I need help! It is confusing, I need a little help

Answers

The answer is 312cm hope this helped

A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the population be after 9 years?

Answers

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

A large pizza chain tracks how many pizzas each customer buys per order. The number of pizzas customers buy in any given order has a mean of 2.52.52, point, 5 pizzas and a standard deviation of 1.51.51, point, 5 pizzas.
Suppose that we take random samples of 777 orders from this population and calculate \bar{x}
x
ˉ
x, with, \bar, on top as the sample mean number of pizzas purchased per order. We can assume that the orders in each sample are independent.

Answers

Answer:

unknown; we don't have enough information to determine the shape.

Step-by-step explanation:

khan

Answer:

"Unknown; we don't have enough information to determine the shape."

Step-by-step explanation:

The shape of the sampling distribution is unknown because of the small sample size: the sample size is 7 - it should be at least 30.

6. Monthly Mortgage payments can be found using the formula Below:

M-PG2)(1+1)"

(1+12"-1

M = monthly payment

P = amount borrowed

r=annual interest rate

n = number of monthly payments

The Ranallo family just bought a house. They qualified for an annual interest rate of 5.2% and their monthly payment

was $800 for a 30 year mortgage. Algebraically determine the amount of their loan to buy the house.

Answers

Answer:  your equation is poorly written/wrong hence I used the equation below

answer :  $289156.63

Step-by-step explanation:

applying the formula to calculate monthly repayment of Mortgage

M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]  -----  ( 1 )

M = Total monthly payment = 800 * 12 * 30 = $ 288,000

P = ?

r = 5.2% / 12 = 0.4%

n = 30 * 12 = 360 months

Back to equation 1

P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]

   = 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]

   = 288,000 / -0.996  =  - $289156.63 ( It has a negative value because It is a loan borrowed )

THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS

Answers

Answer:

right i hate that so much

Step-by-step explanation:

Answer:

I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...

A balloon has a circumference of 16 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

804 cm2

326 cm2

256 cm2

81 cm2

Answers

Answer:

The answer is 256 cm 2.....

Which of the following is equivalent to x 3/7

Answers

i believe it would be b.
explanation: use this rule: (x^a)^b = x^ab

[tex]a^{\frac{m}{n}} =\sqrt[n]{a^m}[/tex]

so the answer will be b [tex]\sqrt[7]{x^3}[/tex]

hope this helps :)

Write an equation of the line that passes through the points: (-3, 0), (0,0)

Answers

Answer:

y=0

Step-by-step explanation:

y=mx+b

the slope is 0

y=0x+b

y=b

b is the y intercept... also 0.

so

y=0

explain how the values of the two 5’s in the number 555 are different

Answers

Answer:

the 5 that is 1st is in hundredths place the second on is the the tenth place and the last one is in the oneths place

Step-by-step explanation:


Which inequalities are true? Select the four correct answers.

Much thanks to whoever helps!!

Answers

The right answer is the First one the second one the third one in the fifth one

A store sells watches for $69.99 each and watch batteries for $9.50 each. Justin is buying 2 watches and x number of watch batteries. Which equation can be used to find y, the total price Justin must pay in dollars?

A y = 139.98x + 9.50x

B y = 69.99x + 9.50

C y = 9.50x + 69.99

D y = 9.50x + 139.98​

Answers

Answer:

D. y= 9.50x + 139.98

Step-by-step explanation:

69.99 x 2 = 139,98

xample 2
Find the median, lower quartile, and upper quartile of the numbers.
2 4 32 9 12 22 18 20 16 24 28 11
1 - Arrange the numbers in order from least to greatest.
249 11 12 16 18 20 22 24 28 32
16 18
2-median (second quartile) =
2.
34
= 17
2.
2 4 9 11 12 16 18 20 22 24 28 32
second our
Plz help nerd's

Answers

Answer:

Median: 17

Q1: 10

Q3: 23

Step-by-step explanation:

2, 4, 9, 11, 12, 16,   18, 20, 22, 24, 28, 32

Median is middle number/average of the 2 middle numbers. 16 + 18 = 34/2 = 17

First/lower quartile/Q1 = middle of lower half of ordered data set

= 9 + 11 = 20/2 = 10

Third/upper quartile/Q3 = middle of upper half of ordered data set

= 22 + 24 = 46/2 = 23

Sorry if this is too late. Posting it will probably save someone else, though.

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