Answer:
D or -1
Step-by-step explanation:
It says that f(x) is equal to -3.
f(x) is the same as y-values, and x is the same as the x-values on a coordinate grid because x is the independent variable, meaning y is the dependent variable, where f(x) depends on the value of x to find y.
So if y is -3, it can be found on the graph on the 4th line, so x = -1 when y = -3
86.34 minutes was used to cool the soup to 80 °F
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How can we calculate this using Newton's Law of Cooling?</h3>
Newton's Law of Cooling can be computed as :

The initial temperature is been represent by T0 which is ( 100 F)
The temperature of surrounding is been given as (69 F)
The final temperature is been given as T
t = time
we were told that the temperature of the soup move to 95 F, using 15 minutes.
Hence, T = 95 F
t = 15 min
Then we can input the values into the above equation as :

if we simplify this , we have

Then 
Then we can find the value of k as :
k= -0.012
Then we have the new equation as


Then at T=80F
we have,

t=86.34
Then if we simplify , we have t=86.34 which implies that 86.34 minutes was used to cool the soup to 80 °F
Learn more about Newton's Law of Cooling at:
brainly.com/question/17051432
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Answer:
D
it is equivalent to the expression
To turn
into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by
to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by
. Thus, you have
or
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore,
.
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction:
. If you divide both sides by 9, you get
. When simplified, you get that
.
Answer:
.
Answer:
4.4
Step-by-step explanation:
hope this helps