Determine what type of model best fits the given situation: the temperature of a cup of coffee decreases by 5 F every 20 minutes.

A. liner
B. exponential
C. quadratic
D. none of these

Answers

Answer 1

Answer: T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

Explanation: This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min


Related Questions

Please Help ASAP!!
Full work shown gets brainliest!!

Answers

Answer:

LR = 17

Step-by-step explanation:

RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.

Answers

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

You can learn more about trigonometric equations at https://brainly.com/question/24680641

Answer:

D. 40 seconds!! Props to guy above.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0. 75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12.

Answers

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please answer my question

Answers

Answer:

y=14x

Step-by-step explanation:

angle A and angle B are supplementary angles. If m∠=(4x - 30) degree and m∠B =(4x-14) degree, then find the measure of ∠A

Answers

Answer:

<A = 26°

Step-by-step explanation:

4x - 30 + 4x - 14 = 180

Supplementary angles sum together to make 180

=> 4x + 4x = 16x

=> -30-14 = -44

16x = 180+44

16x = 224

x = 224/16

x = 14°

4(14) - 30 = 26°

what is .072 divided by 345.00

Answers

Answer:

Step-by-step explanation: if its .072

or if it 0.72/345.00

0.00208695652

Two more than a certain number is 15 less than the product of 7/8 and the number. I NEED THE EQUATION AND SOLUTION

Answers

Answer:

x + 2 = 7/8 x  -15

x = -136

Step-by-step explanation:

Two more than a certain number is 15 less than the product of 7/8 and the number.

Let x be the 'certain number'

x + 2 = 7/8 x  -15

x = 7/8 x - 17

1/8 x = -17

x = -136

Answer:

Step-by-step explanation:

the answer is -136

please help me please

Answers

Answer:

x+2y = 5

2x+y=4

->

x+3y = 5

6x-y = 11

->

2x+y=10

x-3y=-2

Step-by-step explanation:

solutions of x and y for each system of equation can be solved by graphing

graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers

if there are no intercepts, the equations have no solution

What is the range of the relation?

Answers

Answer:b is the answer

Step-by-step explanation:

I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.

Answers

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0


Cereal is on sale this week. Is it a better buy to get the 10-ounce box for
$1.76 or the 14-ounce box for $2.42?

Answers

I would say 14- ounce for $2.42
Explanation:
10 • 1.76 = 5.68 cents an ounce
14 • 2.42 = 5.78 cents an ounce

4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?

Answers

Answer:

assuming its dividing by two, 7.8135

Step-by-step explanation:

if you're dividing by something else the answer will be different. hope this helps

Will Give Brainliest

Answers

Answer:

x = 19

Step-by-step explanation:

3x - 1 = 6 (x - 1)  

I hope this helps!

Opposite angles are equal

[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]

[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]

[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]

[tex]\\ \sf\longmapsto -3x=-57[/tex]

[tex]\\ \sf\longmapsto x=19[/tex]

Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 28%

Answers

Answer:

The retail price would be $93.6

Step-by-step explanation:

This is because you can divide 130 by 100 to find 1% of such, and you'll get 1.3. Then, multiply 1.3 by 72, which makes 72% of the original price, to come find your answer, $93.6. Hope this helps!

1)
Find the value of x.

Answers

x=6

Explanation:

The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30

30+5=35.

Therefore,

x is going to have to be 6.

basic help :(
its math

Answers

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

Step-by-step explanation:

I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?

Answers

Answer:

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

Step-by-step explanation:

yen said the additive inverse of 8 is -8 becuase positive 8 and negative 8 added together equals zero do you agree? why or why not

Answers

Answer:

I do agree

Step by Step Explanation:

You can try it out, just draw a number line with positive and negative integers and set your pencil on 8 and go back 8 places since it is -8 and that equals 0.

need assistance with algebra 2

Answers

Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

PLEASE HELP GIVING POINTS

Answers

the answer would be -13/3
Answer: A) 13/3

Explanation:

Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?

Answers

350-100 =250 25x=250
X=10
She should save for 18 weeks

Chris bought 25.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. How many liters of gasoline did Chris buy?

Answers

Answer:

Chris bought approximately 96.52 liters of gasoline.

Step-by-step explanation:

Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).

25.4 * 3.8 = 96.52

Somebody please help

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.

Answers

Perpendicular: 3
Parallel:5
I think

hello guys .. can y’all help me with this question and explain it to me ? please and thank you:) 25 POINTS !

Answers

Answer:

B, 5.4

Step-by-step explanation:

BC = 36

FE = 7.2

AB = 27

x = Unknown value

They are proportional so...

[tex]\frac{36}{27} =\frac{7.2}{x}[/tex]

x = 5.4

Make t the subject of the formula q = 4+
2 - 4
t 3

Answers

Answer is given below in picture

I hope it helps.

7/14 in its simplist form

Answers

Answer:

1/2

Step by step explanation:

Answer:

1/2

Step-by-step explanation:

Caleb scores 3 more than 2 times the number of points that Brian scores. Create an expression that represents the number of points Caleb scores if Brian scores r points

Answers

Answer:

r = (x·2) + 3

Step-by-step explanation:

Expand the following expressions and write in standard form. Show your work.

a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)

Answers

Ok done. Thank to me :>

HELP PLS ! How many solutions does the following system of equations have?

Answers

Answer:

A - infinite

Step-by-step explanation:

The 2 lines are on top of each other making any point on either line a solution.

Hope that helps

What is an expression that represents 5 times the value of Y plus 4

Answers

Answer:

5y+4

Step-by-step explanation:

Answer:

2 plus 5 times n

Step-by-step explanation:

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