6) A sample of water is being cooled according to the formula is given by

C(t)= 80 – 2t, where t represents the number of minutes the water is cooled,

and C measures the corresponding temperature in degrees Centigrade. The

cooling period ends when the water freezes (0°). Determine the relevant

domain and range for this function.

Determine the relevant Domain and relevant Range for this function. Use

interval notation.

Answers

Answer 1

Answer:

Relevant domain: [0 40]

Relevant range: [0 80]

Step-by-step explanation:

We have the following function:

[tex]C(t) = 80 - 2t[/tex]

In which C(t) is the water temperature.

t is the time.

The colling period ends when the water freezes (0°).

So it freezes after t minutes, and t is found when C(t) = 0. So

[tex]C(t) = 80 - 2t[/tex]

[tex]80 - 2t = 0[/tex]

[tex]2t = 80[/tex]

[tex]t = \frac{80}{2}[/tex]

[tex]t = 40[/tex]

Relevant domain:

Input value of the function, which is in minutes. So between 0(initial) and 40(when the water freezes).

Relevant range:

Initial temperature, which is C(0) = 80, until it freezes, 0. So from 0 to 80.


Related Questions

YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2

Answers

Answer:

yes :(

Step-by-step explanation:

On February 1 (in a non-leap year), Raul Avila deposited $10,000 in a savings account that pays 5.5
percent interest compounded daily. On June 21, how much interest had been earned on the principal
in the account?

Answers

Answer:

210

Step-by-step explanation:

i believe this is the answer if the compound interest is 1.50 a day

We shuffle a deck of cards and deal three cards (without replacement). Find the probability that the first card is a queen, the second is a king, and the third is an ace.

Answers

Answer:

the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Step-by-step explanation:

Given the data in the question;

we know that a deck of cards contains 52 cards

3 cards are dealt out without replacement

probability that first card is queen, the second is king and third is an ace will be;

P(First is a King, second is a Queen, third is an Ace) = [ 4/52 ] × [ 4/51 ] × [4/50]

= 64 / 132,600

=  0.000482655

Therefore,  the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Four friends are training for long races. Eduardo ran 5.123 miles, Kandis ran 6.34 miles, Khaliyah ran 7.1 miles, and Moises ran 8 miles. b: Khaliyah ran how much further than Eduardo?​

Answers

Answer:

1.977 miles

Step-by-step explanation:

Focus on how many miles Khaliyah and Eduardo are training.

Khaliyah = 7.100 miles

Eduardo = 5.123 miles

Difference = 7.100 - 5.123 = 1.977

Write the perimeter of the triangle as a simplified
polynomial. Then factor the polynomial.
2x2 +1
8x+2
x²+2x

Answers

Answer: below hopes it helps

Step-by-step explanation:

Caviar is an expensive delicacy, so companies that package it pay very close attention to the amount of product in their tins. Suppose a company that produces over 1000 tins of caviar per day took an SRS of 20 tins from one day's production. The sample showed a mean of 99.8g of caviar per tin with a standard deviation of 0.9g. The data were roughly symmetric with no outliers.

Required:
Based on this sample, estimate with 95, percent confidence the mean amount of caviar (in grams) per tin from that day's production.

Answers

Answer:

95% of the confidence interval of the mean amount of caviar per tin from that day's production

(99.3788.100.2212)

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 20

Given that mean of the sample = 99.8 g

Given the standard deviation of the sample = 0.9g

Level of significance = 0.05

[tex]t_{\frac{0.05}{2} ,19} = t_{0.025,19} = 2.093[/tex]

Step(ii):-

95% of the confidence interval of the mean amount of caviar per tin from that day's production

[tex](x^{-} - t_{0.025,19} \frac{S}{\sqrt{n} } , x^{-} + t_{0.025,19} \frac{S}{\sqrt{n} })[/tex]

[tex](99.8 - 2.093 \frac{0.9}{\sqrt{20} } , 99.8 + 2.093 \frac{0.9}{\sqrt{20} })[/tex]

on simplification, we get

(99.8 -0.4212 , 99.8+0.4212)

(99.3788.100.2212)

Final answer:-

95% of the confidence interval of the mean amount of caviar per tin from that day's production

(99.3788.100.2212)

The confidence interval with 95%  confidence where the mean amount of caviar (in grams) per tin from that day's production is [tex]\bold{99.8 \pm 0.9344}[/tex].

Given to us,

size of the sample, n = 20,

mean of the sample, [tex]\bar{x}[/tex] = 99.8 g

the standard deviation of the sample, σ = 0.9g

As, we know, the confidence level value for 95% confidence is 1.960.

[tex]z = 1.960[/tex]

Also, the formula for the confidence interval is given as,

[tex]CI = \bar{x} \pm z \dfrac{s}{\sqrt{n}}[/tex]

where,

CI =  confidence interval

[tex]\bar{x}[/tex] =  sample mean

z =  confidence level value

σ =  sample standard deviation

n      =  sample size

For, 95% of the confidence interval of the mean amount of caviar per tin from that day's production,

[tex]CI = \bar{x} \pm z \dfrac{\sigma}{\sqrt{n}}[/tex]

substituting the values,

[tex]\begin{aligned}CI &= 99.8 \pm (1.960) \dfrac{0.9}{\sqrt{20}}\\&=99.8 \pm 0.9344\\\end{aligned}[/tex]

Hence, the confidence interval with 95%  confidence where the mean amount of caviar (in grams) per tin from that day's production is [tex]\bold{99.8 \pm 0.9344}[/tex].

To know more visit:

https://brainly.com/question/2396419

can someone please help me

Answers

Answer:

95

Step-by-step explanation:

35 plus 50 is 85 and a triangle is 180 so 180 minus 85 gets you 95

Consider the graph of Nintendo Switch owners in each city.

City Number of Owners Total Population
Indianapolis, IN 672 860,902
Reno, NV 220 247,680
Sacramento, CA 379 495,234
Columbus, OH 492 880,182
Tampa, FL 196 377,165

If Reno had the same number of Nintendo Switch owners as Columbus per capita, how many Nintendo Switch owners would Reno expect to have? (Round your answer to the nearest whole number)

Answers

Answer:

138.45

Step-by-step explanation:

it's correct.

Is the function shown linear or nonlinear? Explain your answer.

Answers

Is there supposed to be a picture i don’t see one

M and N are whole numbers and M×N is divisible by 2. Which statement about M is True,when N is odd?​

Answers

Answer:

A. Must be even

Step-by-step explanation:

Even number * odd number = even number

Solve the following inequality:
x/0.25 > 2

Answers

Answer:

x>0.5

Step-by-step explanation:

multiply by 0.25 on both sides

x>0.5

The population of Zoe's hometown was 75,000 people last year. The population is growing at a rate of 2.4% each year. Which function models the grow of this city?​

Answers

Answer:

the answers is

Step-by-step explanation:

14 models grow of this city

The area of Shawn's bedroom is 110 square feet. He places his bed, which is 7 feet long and 5 feet wide, in one corner of the bedroom. How much space will Shawn have left?​

Answers

Answer:

gggg

Step-by-step explanation:

duxufif8fis5durris5is

What is the inverse function of f(x) = x


Answers

f-1(x) f(x)-1
Inverse of the function f f(x)-1 = 1/f(x) (the Reciprocal

If f4y 3 = 6y + 9, what is the value of 7y?

Answers

Answer:

-3-6y=9

Step-by-step explanation:

The answer is y = -1

Convert 7% as a decimal

Answers

Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

I WILL GIVE BRAINLY HELPPP Find the total surface area of the right triangular prism given:
LE = 90°, DE = 12 inches, EF = 16 inches, DF = 20 inches, and EB = 11 inches.

Answers

Answer:

The height of right triangular prism is 7.5 in.

hope this helps

Math solve for x pls

Answers

Answer:

26

Step-by-step explanation:

Plug in 15 for y in the first problem so instead of y=x-11 it would be 15=x-11

15=x-11

+11= +11 (you want to add 11 to both sides to get x by its self)

26=x

11. Two students describe how to solve the equation, 23+n=29 . Student A says to add 23 to both sides, while Student B says to subtract 23 from both sides. [3 points]
Part A. Which student has the correct description and why?
Part B. Solve the equation 23 + n =29 using inverse operations.

Answers

Answer:

student b

Step-by-step explanation:

the 23 is a positive # so you would not add but subt.

23+n=29

-23     -23

n=6

Answer:

You have Ms. Keten too? Tbh I dont like her as a math teacher.

Expand Expression t( 3n + 4)

Answers

Answer:

=3tn+4t

hope it helps...

Answer: 3nt + 4t.

Step-by-step explanation: Expand means distribute; there should be no parentheses or terms factored out.

t(3n + 4)

3nt + 4t <— multiply both terms in the parentheses by t.

Timothy read 3,876 pages this school year. Amelia read 3,768 pages. Who read more pages this school year? E​

Answers

Answer:

Timothy

Step-by-step explanation:

Timothy because he read 3,876 pages this year.

Find the value of x if P Q R S spaceis a parallelogram.

Answers

Answer:

The value of x is 15.

Step-by-step explanation:

Given

PQRS is a parallelogram.

∠Q = (3x + 25)°

∠S = (5x - 5)°

To determine

The value of x = ?

We know that both pairs of opposite angles of a parallelogram are congruent.

As ∠Q and ∠S are opposite angles of a parallelogram. Therefore,  ∠Q and ∠S are equal.

Thus,

∠Q = ∠S

substitute ∠Q = (3x + 25)° and ∠S = (5x - 5)° in the equation

(3x + 25)°  = (5x - 5)°

subtract 25 from both sides

3x + 25 - 25 = 5x - 5 - 25

3x = 5x - 30

flip the equation

5x - 30 = 3x

add 30 to both sides

5x - 30 + 30 = 3x + 30

5x = 3x + 30

subtract 3x from both sides

5x - 3x = 3x + 30 - 3x

2x = 30

divide both sides by 2

2x/2 = 30/2

x = 15

Therefore, the value of x is 15.

Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and stationary), it took Thomas 20 seconds to run down it. How long, in seconds, would it take Thomas to walk down the broken escalator?

ANSWER QUICK PLS ASAP

Answers

.....................

Answer:

40

Step-by-step explanation:

quadrilateral ABCD is a kite with an area of 14cm squared. the length of ED is 5 cm. what is the length of BE?

Answers

Answer:

85

Step-by-step explanation:

The length of BE is 5.6 cm.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The area of a kite can be calculated as;

A = d1 x d2 / 2

WE are given the parameters as;

d1 = ED = 5 units

A quadrilateral ABCD is a kite with an area of 14cm squared.

Therefore,

14 = 5 x BE / 2

14 x 2 = 5  BE

28 = 5 BE

BE = 5.6 cm.

Learn more about quadrilaterals here:

https://brainly.com/question/1365755

Solve the problem using long division

Answers

Answer and Step-by-step explanation:

[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]

       

        1m     -5

         ____________

[tex]m+2 |m^{2} - 3m - 7[/tex]

    - m^2 + 2m

___________________

               -5m   - 7

            - -5m   - 10

___________________

                           3

(The negatives cancel out).

[tex]m - 5 + \frac{3}{m+2}[/tex]   <- This is the answer.

#teamtrees #WAP (Water And Plant)

What is the length of the midsegment AB?

Answers

Answer:

Step-by-step explanation:

The Midsegment Theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side.

help me please...step by step pleaseeeee

Answers

Answer: [tex]10\sqrt{10}[/tex]

Step-by-step explanation:

Geometric mean= Number of terms root of the product of all the terms of that sequence

sqrt(2sqrt(5)*5sqrt(2))= 10sqrt(10)

Find the total fare with 15% tip: 1 passenger, 512 miles.


$9.89


$9.20


$10.23


$8.60

Answers

Answer:

37.92

Step-by-step explanation:

just add

Answer:

The answer would be $8.60

Step-by-step explanation:

np

Which expression is equivalent to 6/12 divided 2/3

Answers

Answer:

12/24 ÷ 4/6.

Step-by-step explanation:

just double the numbers lol

Royce Bernstein’s group medical insurance coverage costs $5,480 a year. His employer pays 65% of the cost. What is the amount of the deduction each month from his paycheck medical insurance

Answers

84? I think u just divide if I’m not Erie try and divide because I’m doing it the way of average speed
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