A Warming Liquid - A liquid is taken out of a refrigerator and placed in a warmer room, where its temperature, in F, increases over time. It can be modeled using the equation Tm 74 390.87m. (a) What temperature did the liquid start at? Show the work that leads to your answer. (b) What is the temperature of the room?

Answers

Answer 1

Answer:

The temperature at the start is 35F

The temperature of the room is 74F

Step-by-step explanation:

Given

[tex]T(m) = 74 - 39(0.87)^m[/tex]

Solving (a): The temperature at the start.

To do this, we set: [tex]m = 0[/tex]

So, we have:

[tex]T(0) = 74 - 39(0.87)^0[/tex]

[tex]T(0) = 74 - 39*1[/tex]

[tex]T(0) = 74 - 39[/tex]

[tex]T(0) = 35[/tex]

Hence, the temperature at the start is 35F

Solving (b): The room temperature

We have:

[tex]T(m) = 74 - 39(0.87)^m[/tex]

To get the temperature of the room, we simply remove the exponential function.

So, we have:

[tex]Initial = 74[/tex]

Hence, the temperature of the room is 74F

Answer 2

The initial temperature of the liquid is 35 F and the room temperature is 74 F.

What is Melting Point?

The melting point is the temperature at which the solid starts converting into liquid.

Given here,

[tex]T_m = 74- 39(0.87)^m[/tex]

Leat the [tex]m = 0,[/tex]

So,

[tex]T_0 = 74- 39(0.87)^0\\\\T_0 = 35 \rm \ F[/tex]

Thus the initial temperature is 35 F.

Now remove the exponential to get the room temperature,

So,

[tex]T_{RT} = 74[/tex]

Therefore, the initial temperature of the liquid is 35 F and the room temperature is 74 F.

Learn more about the Melting point:

https://brainly.in/question/608391


Related Questions

Cual es!!! Es examen ayudaaaaa

Answers

hello babyyy hpi how you

Help me to do this question plz plz plz ​

Answers

Answer:

area of parallelogram=base *height

Answer:

area =36cm²

Step-by-step explanation:

area of parallelogram= b×h

9×436cm²

hope it helps stay safe healthy and happy..

A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan​

Answers

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

What is the midpoint of the segment with endpoints(-4, -
2) and (2, 6)?

Answers

Answer:

(-1,2)

Step-by-step explanation:

hope you find this useful!

https://ncalculators.com/geometry/mid-points-calculator.htm

given the following diagram, find the required measure.

Answers

Answer:

m<6=90

Step-by-step explanation:

the answer is 90 or D

Answer:

90

Step-by-step explanation:

If 1 = 140, then 2 = 40. 180-140=40

If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90

Linear angles = 180

Triangle Sum Theorem = Sum of all angles in a triangle = 180


The diagram is not drawn to scale

Find the value of x to the nearest tenth.

Options:

A: 25.0
B: 16.0
C: 9.0
D: 17.3

Answers

Answer:

3x-2 = 25 3x = 25+2 3x = 27 x =9the answer is option c

whats the function for y=-4x+3

Answers

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases

Answers

Answer:

the curse of dimensionality

Step-by-step explanation:

the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.

question on the image
(with the steps)​

Answers

Answer:

40°

Step-by-step explanation:

The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,

> x + 70° + 70° = 180°

> x + 140° = 180°

> x = 180° - 140°

> x = 40°

Answer:

40 degrees

Step-by-step explanation:

We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.

Every triangle adds up to 180 degrees.

So, You can just do 180 - (70+70)  

Algebra version:

70 + 70 + x = 180

140 + x = 180  (subtract 140 on both sides)

x = 40

hope this helps :)

if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)

Help me find (f+g)(x) please!

Answers

Answer:

[tex](f+g)(x) = 3x^2 - 6[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]

The sum of four consecutive numbers is two more than three times the greatest of these numbers. Find the numbers.

Answers

Answer:

9, 10, 11, 12

Step-by-step explanation:

Let the consecutive numbers be:

x, x+1, x+2, x+3

Greatest of the numbers will be: x + 3

x+x+1+x+2+x+3 = 3(x+3) + 2

4x + 6 = 3(x+4) + 2

4x + 6 = 3x + 12 + 2

4x + 6 = 3x + 14

Collect like terms

4x - 3x = 14 - 6

x = 8

x +1 = 8+ 1 = 9

x + 2 = 8 + 2 = 10

x + 3 = 8 + 3 = 11

x + 4 = 8 + 4 = 12

Type the correct answer in each box. Use numerals instead of words

Answers

Answer:

a) 1.73

b)1.32

Step-by-step explanation:

y = f(x) = 3^x

f(1/2) = 3^1/2 = √(3) = 1.73

f(1/4) = 3^1/4 = 1/4√3 = 1.32

What is the answer to this question

Answers

your answer would be C
if triangle efg is equal to hjk then it will still be equal the opposite way. The symmetric property tells us that both sides of the equal sign are equal no matter what side they are on.

PLZ Find a ratio equivalent to 9/10. Then use the ratios to write a proportion.
a 70/63 9/10=70/63
b 19/70 9/10=19/70
c 19/20 9/10=19/20
d 63/70 9/10=63/70

Answers

Answer:

63/70 = 9 : 10

Step-by-step explanation:

Given ratio:

9/10

a 70/63

= 10/9

= 10 : 9

b 19/70

= 19:70

c 19/20

= 19 : 20

d 63/70

= 9/10

= 9 : 10

The equivalent ratio to 9/10 = 63/70

= 9 : 10


Help and explain !!!!

Answers

i believe it's y-intercept!

to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!

What percent did the price drop

Answers

Answer:

10%

Step-by-step explanation:

You have the correct answer. Nice job!

Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha

Answers

Answer:

93.2°

Step-by-step explanation:

[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex]  ... c =48.8

a =180-(38+48.8) = 93.2

Using appropriate properties find 2/3 x (– 3/5) + 1/5 x 4/3 + 2/3 x ( – 3/2)=

Answers

Answer:

- [tex]\frac{17}{15}[/tex]      -1 [tex]\frac{2}{15}[/tex] , 1.13

Step-by-step explanation:

If you know the answer to any of these please Ill mark brainliest.

Answers

Answer:

Step-by-step explanation:

1) 2/9 = 185/x

  2x = 1665

x = 832.5 or 8.325 meters

2) unit rate is the cost of one unit

i.e a dozen eggs cost $1.20 that

would be 10 cents each

3) 300 tissues for $3.75 vs. 250 for $2.99

one is 1.24 cents per tissue

the other 1.19 ... the 250 package is a better buy

if f(x)=2x/x-5 find f^-1(x)

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

x = [tex]\frac{5y}{y-2}[/tex]

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Answer:

Look into the image. I hope it helps❤

#CarryOnLearning

A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient

Answers

Answer:

-3/4

Step-by-step explanation:

The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]

Hence the slope of the line is -3/4 .

If Q is the midpoint of PR, find the coordinates of R if P(11,-2) and Q(4,3). ​

Answers

Answer:

R = (-3, 8).

Step-by-step explanation:

Recall the midpoint formula:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Where M is the midpoint, (x₁, y₁) is one point and (x₂, y₂) is another.

We are given that Q is the midpoint of PR, where P = (11, -2) and Q = (4, 3) and we want to find the coordinates of R.

Substitute Q for M and let P(11, -2) be (x₁, y₁). Hence:

[tex]\displaystyle (4, 3)=\left(\frac{11+x_2}{2}, \frac{-2+y_2}{2}\right)[/tex]

Split into two separate equations:

[tex]\displaystyle \frac{11+x_2}{2}=4\text{ and } \frac{-2+y_2}{2}=3[/tex]

Solve for each case:

[tex]\displaystyle 11+x_2=8\Rightarrow x_2=-3[/tex]

[tex]\displaystyle -2+y_2=6\Rightarrow y_2=8[/tex]

Therefore, our second point (x₂, y₂) is (-3, 8).

Hence, R = (-3, 8).

Answer:

(15/2),(1/2)

Step-by-step explanation:

(x1 + x2 / 2)  ,   (y1 + y2) / 2)

(11 + 4 / 2) , (-2 + 3 / 2)

(15/2) , (1/2)

How do I write
(28/4) - (x+7) in written form?

Answers

Answer: The quotient of 28 and 4 minus the sum of a number and 7

Step-by-step explanation:

In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?

Answers

Answer:

D) 1:1

Step-by-step explanation:

Answer:
D). 1:1

Explanation:
It would be 90° to 90° which simplifies to 1:1

I hope this helped :)

What is the measure of side B’C’?

Answers

36 bc it has 3 different sides and it all equals

Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.​

Answers

Step-by-step explanation:

this photo is correct answer of this question.

Find the measure of the indicated angle

Answers

Answer:

76°

Step-by-step explanation:

180-(2*52)

= 180-104

= 76

Answered by GAUTHMATH

Sabe-se que EF = xcm , GH = (x + 6) cm , RS = 16 cm e NP = 28 cm . Sabendo que EF ,GH , RS ,e NP São, nessa ordem, segmentos proporcionais, determine o valor de x .

Answers

Answer:

The value of x is 8 .

Step-by-step explanation:

It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .

As EF, GH, RS and NP are in proportion

So,

EF : GH = RS : NP

[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]

Does (2, 1) make the equation y = 8x true? yes no​

Answers

Answer:

No

Step-by-step explanation:

Because 1 don't equal to 16

Answer:

no

Step-by-step explanation:

* means multiply

(2,1)

x = 2

y = 1

just plug in the numbers

1 = 8*2 ?

1 = 16? no

Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n

2

4

3

5​

Answers

Answer:

n=5

Step-by-step explanation:

by using

n=(an-a)/a+1

substituting values

n= 7.2-(-7.2)/3.6 +1

n=5

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