12, Find the prime factorization of 60
60 = 2 × 2 × 3 × 5
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
Answer:
4) M=5
Step-by-step explanation:
When multiplying exponents, you add them. When raising an exponent to another power, you multiply them.
(x^5*x²)³=(x^7)³=x^21
Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
That's
Slope of the through points
(15, -6) and (-3, 13) is
<h3>
</h3>
Since the lines are parallel their slope are also the same
So slope of parallel line = - 19/18
Equation of the line using point (4,2) and slope -19/18 is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Answer:
The refrigerator was at around 13 ∘C
Step-by-step explanation:
Newton's Law of Cooling:
The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.
T ⇒ temperature
t ⇒ time
Tenv ⇒refrigerator temperature
⇒ rate of change of he temperature
-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)
We have 3 points:
time (minutes) - Temperature (∘ C)
0 (when the pan was put in the refrigerator) - 46
15 (after 15 minutes) - 27
30 (15 minutes after the first 15 minutes) - 19
= -h (27 - Tenv)
= -h (19 - Tenv)
Now we have a system of two equations and two variables
The refrigerator was at around 13 ∘C
Answer:
$5
Step-by-step explanation:
We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,
⇒ Form the equation
→ 2n + 3 = 13
⇒ Minus 3 from both sides to isolate 2n
→ 2n = 10
⇒ Divide both sides by 2 to find the cost of one notepad
→ n = 5
The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.