A cake recipe says to bake the cake until the center is 180°F. then let the cake cool to 100°F. The table shows temperature readings for the cake.
a. Given a room temperature of 69°F, what is an
exponential model for this data set?
b. How long does it take the cake to cool to the desired
temperature?

Answer:

x=10.247

y=52.02

z=37.98

Step-by-step explanation:

For x you use Pythagorean theorem which, in this situation would be 13^2=8^2+x^2 rearranging this we can figure out x by taking the square root of 13^2-8^2.

For y you can use any trig function but I chose to use cos since that uses info we're given, to find y you just do the inverse cos or cos^-1 of 8/13 to find the angle

For z you can use any trig function but I chose to use sin since that uses info we're given, to find z you just do the inverse sin or sin^-1 of 8/13 to find the angle

Answer:

7. Jamal and Steve finished the same amount of homework

8. 8/12 and 4/6

Hope this helps =]

Answer:

Multiply what?

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

First let's find the perimeter: 2(l+w) = 2 (100 + 60) = 2 (160) = 320m

Now let's divide 6400 by 320 = 20 metres

The constant width of the path is 20 m.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Length of park = 100 m

Breadth of park = 60 m

As, the area including the path = 6400 m²

Area of path + Area of width = 6400 m²

100 x 60 + Area of width = 6400

Area of width = 400 m²

Area of width = 20 x 20 m²

Thus, the width of path is 20 m.

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Answer:

Step-by-step explanation:

Solution:

= − 5

Answer:

4

Step-by-step explanation:

Hello,

36 / 9 = 4

Answer:

y=31°

x=90

step

y=180-59-90

=31

x=90

Answer:

6.3

Step-by-step explanation:

square root of (14.9k^2 - 13.5k^2)

Answer:

B=11

Step-by-step explanation:

b=10 a=8

b=? a=9

Either you can cross multiple 10x9=90/8 (11.25, round down to 11), or you can look that 9 is 8+1, so of we do the same process to b then we would find our awnser. 10+1=11.

When a is 9 then, the value of b will be;

⇒ b = 45/4

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

'b' is directly proportional to a.

And, b is 10 when a is 8.

Now,

Since, 'b' is directly proportional to a.

Hence, We get;

⇒ b = ka

Where, k is constant of proportionality.

Here, b is 10 when a is 8.

So, Put b = 10 and a = 8;

⇒ b = ak

⇒ 10 = k × 8

⇒ k = 10 / 8

⇒ k = 5/4

So, When a is 9 and k is 5/4, then;

⇒ b = ak

⇒ b = 9 × 5/4

⇒ b = 45/4

Thus, The value of b = 45/4

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Answer:

D

Step-by-step explanation:

{(-5, -4), (-5, -2), (-5, 0)}

Answer:

3,644 km²

Step-by-step explanation:

y = 4900(1 - .0575)^5

y = 4900(0.9425)^5

y = 3644.21

Answer:

The car is traveling 55 miles per hour

Step-by-step explanation:

Total miles divided by hours

110/2

55

Answer:

55 miles per hour

Step-by-step explanation:

110/2=55

Answer:

0.9554

Step-by-step explanation:

d = 4

r = d/2

r = 4/2

r = 2

V = 12

V = pi r^2 h

V = 3.14 * 2^2 * h

12 = 3.14 * 4 * h

12 = 12.56 * h

h = 12 / 12.56

h = 0.9554

Answer:

Your answer would be 8x+2

Step-by-step explanation:

4x+3x+x+2

Combine the like terms

Which gives you 8x+2

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

SOLUTION

FIND equation 3 from 2

x+2y=10

x=10-2y...........3

Substitute equation 3 from first (not from the equation where you got equation 3)

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

Find the value of x from the third equation

x=10-2 (1)

x=8

Answer:

add a point 4 units to the left

Step-by-step explanation:

Answer:

Add a point 5.5 units right of 1

Step-by-step explanation:

I used a ruler, and found out that the distance between 0 and 1 is 1cm.  The distance between 0 and x is 2.5cm.  Since x is to the left of 0, x = 2.5.

4 - -2.5 = 4 + 2.5 = 6.5, or 6.5 units right of 0, which is the same as 5.5 units right of 1.

Answer:

X= 139

Step-by-step explanation:

1. Suplementary angle = 180 degrees

2. Set up the Equation  

  41 + x = 180

3. Solve

 41 + x = 180

-41           -41

       x = 139

Answer:

Factor

−

1

out of

−

3

x

2

+

4

x

−

7

.

−

(

3

x

2

−

4

x

+

7

)

Step-by-step explanation:

Answer:

(0,3) & (-3,15)  -4

(-4,-3) & (-8,-4)  1/4

(3,10) & (1,7)  3/2

(8,6) & (12,5)  -1/4

(-1,-4) & (2,-6)  -2/3

(7,-4) & (11,0)  1

(6,-1) & (7,3)  4

(5,-2) & (11,2)  2/3

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

g(x)=∛(x-2) -Substitute g(x)=0

0=∛(x-2) -Swap the sides of the equation

∛(x-2)=0

∛(x-2)=0 -Set the radicand equal to 0

x-2=0

x-2=0 -Move the constant to the right hand side and change its sign

x=2

I Hope this helps! If you are good at geometry I really need help. Please let me know! :)))

Answer:

x= 1 /4 y+ 1 /2

Step-by-step explanation:

Answer:

Step-by-step explanation:

182

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Hey! So look at 18 on the left-hand side. Then, look at the inches. Also, note that A is the exact same as the graph! Therefor, your answer is A!

Have a great day!

Brainliest please!

Hope this helps friend!

Answer:

$11,00 x ( 100% + 20%) = $13.2 /h

Step-by-step explanation:

Answer:

45.8

Step-by-step explanation:

I think that is the correct answer

Answer:  $44,600

Step-by-step explanation:  Subtract the withheld earnings from the gross amount to get the net amount.

55,000-4,200-5,200-1,000= 44,600