According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?​

Answer:

A) no solution

Step-by-step explanation:

It’s A Contradiction

Answer:

its one solution

Step-by-step explanation:

-20+12

Answer:

Both of those are continuous

Step-by-step explanation:

A discrete function is only defined for a specified countable set of x, neither of the two provided fit that description. On the other hand, both are defined for arbitrary positive real numbers.

The value of both functions is defined for a continuous interval of x thus both will be continuous.

A certain kind of relationship called a function binds inputs to essentially one output.

The nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the first function →

y = 30.48x where x is feet and y is a centimeter of conversion.

Now, it is known that for every foot interval there will be a centimeter that exists therefore they will be defined for all continuous intervals of x so it will be continuous.

The second function →

y = 3x + 2 where x is minutes and y is the number of gallons in a tank.

Now since for every minute of the interval, there will be a certain amount of gallons in the tank so it will be also continuous.

Hence "The value of both functions is defined for a continuous interval of x thus both will be continuous".

For more about the function,

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#SPJ2

Answer:

Step-by-step explanation:

Answer:

76377/9338912

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Connecting the mid points of the three sides of the triangle makes four more  triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.

The way you typed out this sentence was a bit confusing but I think you were saying...

For a weekly car rental, a car rental company charges customers a flat fee of $100 +  and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)

The equation would be

10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents

so they would be charging $1.50

Hoped this helped!

Have a great day/night! :)

Answer:

0.571

Step-by-step explanation:

:)

Answer: 1.25 times as far

Step-by-step explanation:

This problem requires you to find something called the unit rate.

Getting the unit rate for Car A is very simple, and can be found to be 25mi/gal.

To find the unit rate for Car B, simply look at the second row.  Because the car can go 60 miles on 3 gallons of gas, divide both these numbers by 3 to get 20mi/gal.

Then, simply multiply both of these numbers by 11 to get 25 * 11 = 275, and 20 * 11 = 220.

Then, by doing 275/220, you get your answer: 1.25.

Hope it helps :) and let me know if you want me to elaborate.

Car A can travel 275 miles and car B can travel 220 miles

Step-by-step explanation:

pls mark as brainliest

Answer:

Step-by-step explanation:

Notice that the y-component is the same, -2, in these two points.  That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.

                                      -2 - (-2)

Alternatively, use m = -------------- = 0

                                        3 - 13

The value of the slope in question is zero:  m = 0

Answer:

Where is it?

Step-by-step explanation:

Answer:

The correct form is [tex]y = -2x + 24[/tex]

Step-by-step explanation:

First we need to interpret the equation of Nolan.

How you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.

So the correct form of the equation is:

[tex]y = -2x + 24[/tex]

Answer:

Step-by-step explanation:

Answer:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

Answer:

You cannot factor this.

Step-by-step explanation:

Nothing can multiply, to equal 2 and add up to 5.

The answer would e number B.

Answer:

Step-by-step explanation:

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).

Answer:

- 3r + 18

Step-by-step explanation:

7r - 8r - 2r + 13 + 5 = 7r - 10r + 18

Answer:

16

Step-by-step explanation:

Since the perimeter of the rectangle is 80, we can set up the perimeter formula:

80=2L+2W=2(3x+3)+2(2x+2)=6x+6+4x+4=10x+10

10x=70

x=7

AB=2x+2=2(7)+2=14+2=16

Answer:

AB= 16

Step-by-step explanation:

2x+2+3x+3=40

Add like terms: 2x+3x= 5x and 2+3=5

New equation: 5x+5=40

Solve: 40-5= 35

Now we know that x is equal to 7.

2(7)+2= 16

Side DC equals 16.

Side AB has the same length as side DC since it's a rectangle.

Side AB equals 16.

Let's check: 16+16=32 (side DC and side AB)

24 must be the length of the other sides.

So, when you add all the sides together...

16+16+24+24= 80

You get 80, the perimeter!

I hope this helped!

Ratios are simply used to compare two or more related quantities

(a) Comparing quantities

To compare quantities, we make use of ratios.

Hence, a way to compare two or more quantities is by using ratio

(b) Statement of equality between ratios

When two or more ratios are equal, the ratios are said to be equivalent ratios

Hence, the statement of equality between ratios is equivalent ratios

(c) Express (3) and (4) as ratios

There are 10 stars and 8 crosses.

So, the ratio is 10 : 8

There are 3 toys and 9 books.

So, the ratio is 3 : 9

(d) Compare balloons and party hats

There are 12 balloons and 18 party hats.

So, the ratio is 12 : 18

Reduce the ratio as follows:

12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6

So, the comparison is:

There are 2 balloons for every 3 party hats

(e) Simplify (4)

In (4), we have:

Ratio = 3 : 9

Divide by 3

Ratio = 1 : 3

Hence, the simplified ratio is 1  3

(f) Express the currency ratio in its simplest form

The ratio is given as:

Ratio = 4 * 1 peso coin : Php80.00 coin

Evaluate the product

Ratio = 4 peso coin : Php80.00 coin

Divide both sides by 4

Ratio = 1 peso coin : Php20.00 coin

Hence, the simplest form of the ratio is 1 : 20

Read more about ratios at:

https://brainly.com/question/25326254

Answer:

$21.98

Step-by-step explanation:

45.50 * .20 = 9.1

32.20 * .40 = 12.88

12.88 + 9.1 = 21.98

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

https://brainly.com/question/17997145

Answer:

x=16/15

Step-by-step explanation:

Answer:

D. Domain: 2 > -11

Range: All real numbers

Step-by-step explanation:

Correct me if I’m wrong UwU

Answer:

Domain: All real numbers

Range: f(x) ≥ - 11

Step-by-step explanation:

Given the quadratic function in vertex form, f(x) = ½(x + 4)² - 11:

The vertex, (h, k) is (-4, -11).

The parabola opens upward (where a = ½, which is greater than 0), and k = -11 is the minimum value for f(x).  Hence, the range of the given function must be at least -11, or f(x) ≥ -11.  

There is no restriction for the value of x. Therefore, the domain of the given function is all real numbers.

Hello there! :)

Parallel lines have identical slopes.

So if one line has a slope of 2, then the line parallel o it would have the same slope.

Now, use the Point-Slope form:

y-y1=m(x-x1)

y-3=2(x-(-2)

y-3=2x+4

y=2x+4+3

y=2x+7

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

Answer:

tnx to your points..

god bless you ..

maybe they help for youuu..

Answer:

31200=300.5%

Step-by-step explanation:

31200=3+1200

=31+1200

=(31×200200)+1200

=600200+1200=601200

We know that

601200

is the same as

601÷200

Then using

gives us

=3.005

Convert the decimal to a percent:

3.005×100

and rounding to a Max of 2 Decimal Places

=300.5%

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

Answer:

x = - 3

Step-by-step explanation:

9 more than the product of a number and three is equal 6.

9 +                                   (x · 3)                                = 6

9 + 3x = 6

3x = -9 + 6

3x = - 3

x = - 3

Answer:

3x + 9 =6

Step-by-step explanation:

we know there are 1000g in 1 KILOgram, so how many grams in 0.01Kg?

[tex]\begin{array}{ccll} grams&Kgs\\ \cline{1-2} 1000&1\\ x&0.01 \end{array}\implies \cfrac{1000}{x}=\cfrac{1}{0.01}\implies (1000)(0.01)=x\implies \stackrel{g}{10}=x[/tex]

2 1/5

Step-by-step explanation:

3 - 1 = 2

2/5 - 1/5 = 1/5

2 + 1/5 = 2 1/5