Answer:p = -1.25
Step-by-step explanation:
Simplifying
3 + 17p = -32 + -11p
Solving
3 + 17p = -32 + -11p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '11p' to each side of the equation.
3 + 17p + 11p = -32 + -11p + 11p
Combine like terms: 17p + 11p = 28p
3 + 28p = -32 + -11p + 11p
Combine like terms: -11p + 11p = 0
3 + 28p = -32 + 0
3 + 28p = -32
Add '-3' to each side of the equation.
3 + -3 + 28p = -32 + -3
Combine like terms: 3 + -3 = 0
0 + 28p = -32 + -3
28p = -32 + -3
Combine like terms: -32 + -3 = -35
28p = -35
Divide each side by '28'.
p = -1.25
Simplifying
p = -1.25
Answer:
It depends on the person, I personally work better plugging in numbers and practicing with numbers I like. I say just try different ways and see what works best for you.
Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
__
Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.
Answer:
3⁸ or 6561
Step-by-step explanation:
First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.
There are no parentheses, so let's solve the exponents.
3² • 9³
3² = 9
9³ = 729
Your expression is:
9 • 729
Now let's multiply.
= 6561
This number can also be expressed with exponents.
Since 9 = 3², 9³ = 3²⁽³⁾
Now your expression is:
3² • 3²⁽³⁾
First, solve the exponents by multiplying.
3² • 3⁶
When you multiply two expressions with exponents that have the same base (3), you add the exponents.
3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸
3⁸ also equals 6561.
Your answer is 3⁸ or 6561.
Hope this helps!
Y =0.5x +2 The y-intercept is found by the coordinates (0,2) and the change is 0.5
