1) A covered hot cup of coffee will cool to the temperature of the room as governed by a physics principle known as Newton's Law of Cooling. The data from an experiment is shown in the table. If the room temperature is 73 degrees Fahrenheit, which statement is correct?A) The relationship could be linear with c ≈ 83oF.B) The relationship could be linear with c ≈ 63oF.C) The relationship could be exponential with c ≈ 83oF.D) The relationship could be exponential with c ≈ 63oF.

Answer:

F. Yes, by the SAS Congruence Theorem

Explanation:

In △ABC and △EDC:

Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.

△ABC ≅ △EDC

Answer:

a = - 5/3

Step-by-step explanation:

Answer:

I have simplified it to −

2 ^ 3 − 3 ^2 +  

Step-by-step explanation:

[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]

[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]

[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]

Hope It's Help

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

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Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2

Answer:

(-3, 4)

Step-by-step explanation:

5(7x - 2y = -29)

35x - 10y = -145

9x + 10y = 13

44x = -132

x = -3

7(-3) - 2y = -29

-21 - 2y = -29

-2y = -8

y = 4

Answer:

Having trouble using logarithmic differentiation!

Answer:

linear

Step-by-step explanation:

Answer:

so this is what it should be let me know if this Is wrong

Answer:

let x stand for number of weeks

135+15x>=480

x>=23

Step-by-step explanation:

subtract 135 on both sides

15x>=345

divide by 15 on both sides

x>=23 is your solution

Answer:10

Step-by-step explanation:

10

Answer:

18x+7

Step-by-step explanation:

3(2x + 5) + 4(3x - 2)

6x+15 + 12x - 8.........distribute

18x+7..........................combine like terms

18x+7

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]3(2x + 5) + 4(3x - 2)[/tex]

You have to distribute:

[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]

[tex]=6x+15+12x+-8[/tex]

You must combine like terms:

[tex]=6x+15+12x+-8[/tex]

[tex]=(6x+12x)+(15+-8)[/tex]

[tex]=18x+7[/tex]

ANSWER:

[tex]=18x+7[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.

Answer:

Decimals are used to express the whole number and fraction together.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

Answer:

20 feet

Step-by-step explanation:

Using Pythagoras rule:

25^2 - 15^2

625 - 225

400

√400 = 20 feet

Answer:

where is the graph??

Step-by-step explanation:

i have no picture soooo like

Answer:

If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent.  SSS

Step-by-step explanation:

or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent.  SAS

Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

Answer:

Nope

Step-by-step explanation:

If you do the line test you would see that two dots touch the line and that means it is not a function.

Answer:

- 8

Step-by-step explanation:

Evaluate g(- 64) then substitute the value obtained into f(x)

g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then

f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

Answer:

A

Step-by-step explanation:

using pythagoras theorem

h²=p²+b²

Answer:

50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y

Answer:

h(t) = -3 + 1.5t

Step-by-step explanation:

Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.

h(t) = -3 + 1.5t

Answer:

116

Step-by-step explanation:

First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:

(14x+4)+(5x-1)+(2x+9)=180

x=8

Then to find angle A put 8 in place of x. 14(8)+4=116

Answer:

[tex]116 \degree[/tex]

Step-by-step explanation:

Interior angles of a triangle is added up to 180°

Therefore,

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]

Now you can solve this equation and find the value of x

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]

Now you can Find the value of <A

[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

look at the picture i have sent

Answer:

answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

B

Step-by-step explanation: