After sitting on a shelf for a while, a can of soda at room temperature (73 F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 35 F.


The can of soda reaches the temperature of 53 F after 35 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 70 minutes.

An ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows

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Answer:

yd^3

Step-by-step explanation:

Answer:

120yd^2

Step-by-step explanation:

A=BH

A= 15×8

A=120

symbol = yd^2

final answer= 120yd^2.

Answer:

2/5

Step-by-step explanation:

[tex]a.(x - 4)(x - 9) = x {}^{2} - 9x - 4x - 36 = x {}^{2} - 3x - 36[/tex]

Answer:

11.1

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} =c^{2} \\AB^{2} +BC^{2} =AC^{2} \\AB^{2} +19^{2} =22^{2} \\\\AB^{2}=22^{2}-19^{2\\AB=\sqrt{123} \\AB=11.1[/tex]

Answer:

hexagon

Step-by-step explanation:

i g

Answer:

68 in

Step-by-step explanation:

Find area of the rectangle - 6 x 10 = 60

Find area of the triangle (Formula - 1/2(base)(height)) - 1/2(4)(6) = 8

Add them - 60 + 8 = 68

Answer:

x=26

y=11

Step-by-step explanation:

y is equal to the one on the opposite side, so y=11

since 24 and the other side are equal, and the other side is x-2, you do 24+2=26

Answer:

the correct answers are A B C E

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Work Shown:

a = 20.3

b = unknown

c = 30.7

Apply the pythagorean theorem to find b

a^2 + b^2 = c^2

(20.3)^2 + b^2 = (30.7)^2

412.09 + b^2 = 942.49

b^2 = 942.49-412.09

b^2 = 530.4

b = sqrt(530.4)

b = 23.0304146727757  value is approximate

b = 23.0

I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

Answer:

0.17

Step-by-step explanation:

hello please follow me

Answer:

D

Explanation:

2% = 1.02

4,320 * 1.02 = 4,406

Answer:

40%

Step-by-step explanation:

I added all the cookie numbers together to get 30 then I found the percentage of 12 in 30 which is equal to 40 percent

Answer:

c. 1/x½

x- 12 = 1/x½

hope it helps

Step-by-step explanation:

-

Answer:

b

Step-by-step explanation:

There's only 1 orange and 1 yellow

Then there are 8 sections

therefore, 2/8 or 1/4

Answer:

parallel I think

Step-by-step explanation:

move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

⇒(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

⇒(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

⇒(x + p) (x + p) = x² + 2px + p²

Answer:

[tex]A. \: 288\pi( {cm}^{3} )[/tex]

Step-by-step explanation:

Hint:

Simplify:

[tex]4\pi \times 72[/tex]

[tex]288\pi( {cm}^{2} )[/tex]

Answer:

b.39

Step-by-step explanation:

312 divided by 8 is 39

Answer:

312 divided by 8 = 39, B is your answer

Step-by-step explanation:

You need to spread the books equally amongst the 8 shelves there are. Which means you divide.

Answer:

-2

HOPE THIS HELPS

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Step-by-step explanation:

-6/3=-2

Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.

Answer:

y= -4x+4

Step-by-step explanation:

there you go!!!

Answer:

m= -4 would be the equation

Step-by-step explanation:

Answer: I can help you but I don’t see anything

Step-by-step explanation:

Answer:

Blue

Hello there I hope you are having an great day :) If you select a marble without looking which colour are you less likely to pick, All together there is 10 marbles.

Orange : 2/10

Black : 2/10

Green : 5/10

Blue: 1/10

The less Colour is Blue as there is only 1 Marble so it probably the less likely to be picked.

Hopefully that helps you :)

Answer: True

Step-by-step explanation:

2 with the exponent of 1/2 is 1.41. SQRT for 2 is also the same.

2 with the exponent of -1 is 0.5. Fraction of 1/2 is the same.

Step-by-step explanation:

tan‐¹ –3 I guess

Correct me if I am wrong

Answer:

-3

Step-by-step explanation:

in y=mx+b, m is the slope. There for -3 is the slope.  

Answer:

7pi/20 radians

Step-by-step explanation:

63         pi

------ x---------- =  63pi/180

1           180

63pi/180 simplified is 7pi/20 radians.