The boiling point of water is 212 degrees. To make a cup of tea, water is boiled, poured into a mug with tea leaves, and set to steep for 4 minutes. In that time, the temperature of the tea reduces to 115 degrees when it is in a room that is 68 degrees. Write an equation for the cooling curve of the tea in this particular room. Round parameters to the nearest 6th decimal place.​

Answer:

f

f(x) =-3/4x +2

Step-by-step explanation:

You have points (0,2) and (-4,5) Soo the slope is 5-2/-4-0 = 3/-4

Then f(x) = mx+b. So f(x) = -3/4x + 2 because the y intercept is (0,2).

Answer:

f(x)= -x+2

Step-by-step explanation:

Looking at the graph gives us this information:

SLOPE

you can see that for every 1 unit over, it goes one unit down.

slope = rise / run which would be -1/1 which is also just -1

INTERCEPT

the y intercept is 2

equations are typically written in y=mx+b form (where m is the slope and b is the intercept)

so we have y = -1x +2

you don't need to write the 1 because -1x is the same as -x

sof(x)= -x+2

Answer:

No Solutions

Step-by-step explanation:

Answer:

103y/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

Answer:

400 yards of wire will cost $4,800

Step-by-step explanation:

First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.

Answer:

E, B, A, D, C

Step-by-step explanation:

Answer:

S=20

Step-by-step explanation:

we want P(s) = 60

so P(s) = 3s = 60

s = 20

Answer:

8-3n

The way you know is 8 is the hidden word....

in there and it say 3 times   nathans...

So you will take n and times it bye 3..

by doing 3n so 8-3n is your anwser...

7853.98mm

Step-by-step explanation:

Circumference is pi times diameter so the diameter is 100 millimeters

Diameter is 2 times the radius so the radius is 50 millimeters

Area is pi times the radius squared so the area is about 7853.98 millimeters squared

Answer:

A = 795.77

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=1002

4·π≈795.77472

Answer:

There are 6 cakes.

Each person can eat 1/2 of a cake.

You need to find how many times you can split 6 cakes into 1/2 of a cake.

Obviously, division is the way to go.

6 ÷ 1/2

When dividing by a fraction, you need to turn both parts into fractions.

6/1 ÷ 1/2

Now you skip the first part.

Focus on 1/2

Flip the fraction: 2/1

Now multiply the two fractions together

6/1 *2/1 = 12/1

Therefore 12 people can be at the party.

PLEASE BRAINLIEST

I love the killua profile pic

Answer: 12 people

Step-by-step explanation:

6 total cakes ; everyone eats [tex]\frac{1}{2}[/tex]

6 people would eat 3 cakes because [tex]\frac{1}{2}[/tex] × 6 people = 3 cakes.

However, 12 people would eat 6 cakes because [tex]\frac{1}{2}[/tex] × 12 people = 6 cakes.

Answer:

bottom right corner

Step-by-step explanation:

Answer:

if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25

Step-by-step explanation:

hope this helps

Answer:

-2/3

Step-by-step explanation:

The measure of ∠O is, 115.8°.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In ΔMNO, m = 150 inches, n = 550 inches and o=630 inches.

Now, We know that;

⇒ cos O = m² + n² - o² / 2mn

Substitute all the values, we get;

⇒ cos O = 150² + 550² - 630² / (2 × 150 × 550)

⇒ cos O = - 0.4357

⇒ ∠ O = 115.8°

Thus, The measure of ∠O = 115.8°

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

Irrational.

Step-by-step explanation:

∛30 cannot be written as a fraction.

Answer:

half-plane

Step-by-step explanation:

To draw the line of a linear inequality, we are going to draw a line that divides the coordinate plane into two parts.

Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.

Hence, we have a division into two planes. The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.

This depends on the sign of the inequality that is present .

The graph of a linear inequality in two variables is the half plain containing all of its solutions.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

The line of a linear inequality, to draw a line that divides the coordinate plane into two parts.

Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.

A division into two planes.

The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.

This depends on the sign of the inequality that is present .

Hence, The graph of a linear inequality in two variables is the half plain containing all of its solutions.

To know more about Plane click the link given below.

https://brainly.com/question/22848383

Answer:

Percent of strike outs per-bat = 32%

Step-by-step explanation:

Given:

Number of balls strike out = 112

Total number of ball played = 350

Find:

Percent of strike outs per-bat

Computation:

Percent of strike outs per-bat = [112/350]100

Percent of strike outs per-bat = [0.32]100

Percent of strike outs per-bat = 32%

Answer:

212*(2)ⁿ

6784

Step-by-step explanation:

To find the number of two tailed monkey in 2016 we have

212*2

to find in 2017

212*2*2 or 212*2^2

we can write the following equation

212*(2)^n

where n is the number of years

To find the number of monkeys in 2020 we plug in 5 for n

6784

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

I am not sure about it, but maybe 15.

<1 = (2x + 5) and <2 = (3x - 10)

<1 = (2 × 15 + 5 ) and <2 = (3 × 15 - 10)

<1 = (30 + 5) and <2 = (45 - 10)

<1 = 35 and <2 = 35

Hope this helps, thank you !!

Answer:

the awnser is 143X.

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

P(event) = number of times event occurs/ total number of trials

Hi, You are the person I answered last time!

P(event) = 8/16

8/16 simplified is equaled to 1/2.

1/2 is equaled to 0.5

Again, I'm pretty sure this is right because it says experimental probability... I hope this helps!

Answer:

58.5% (94886869494949)

Step-by-step explanation:

EZ math. (but take note of my username)

Answer:

x-4=y

Step-by-step explanation:

I don't want to explain just trust me.

Answer: x= -1, y=2

Step-by-step explanation:

Answer:

5 mph

Step-by-step explanation:

10/2 is 5 miles in one hour.

Answer:

5mph

Step-by-step explanation:

10/2

Answer:

96

Step-by-step explanation:

Answer:

{(0, 5), (-16, -1), (12, 4)}

Step-by-step explanation:

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4), to get the range, we will get f(x, y) for all the domain values

For the coordinate (0,5);

f(0, 5) = (-2(0), 5)

f(0, 5) = (0, 5)

For the coordinate (8, -1);

f(8, -1) = (-2(8), -1)

f(8, -1) = (-16, -1)

For the coordinate (-6, 4);

f(-6, 4) = (-2(-6), 4)

f(0, 5) = (12, 4)

Hence the range is {(0, 5), (-16, -1), (12, 4)}