This is an equation that calculates potential energy and converts the value into its commercial unit.
<u>Step-by-step explanation:</u>
Step 1:
Given equation is 2 kg × 9.81 m/s² × 40 m. From the units, find the corresponding measurements. kg is the unit of mass (m), 9.81 m/s² is the acceleration due to gravity (g) and m is the unit of length or height (h).
This shows that this equation is to find potential energy. It is then converted into the commercial unit of energy (Joules).
⇒ Potential Energy = mgh = 2 kg × 9.81 m/s² × 40 m
= 784.8 kg m²/s²
= 784.8 N-m (Since unit of force, 1 N=kg m/s²)
= 784.8 J (1 Newton-m = 1 Joule)
Answer: x = 6
Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.
Next, you should combine your like terms. So, -14.76 = -88.56.
Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./
Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6
The possibility that the first spin lands on gray is 1/4, and the second spin lands on blue is 3/4
Answer:
D) 39
Step-by-step explanation:
There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.
First step, find g(8):
g(x) = 3x - 2
When x = 8,
g(8) = 3(8) - 2
Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:
g(8) = (3 * 8) - 2
g(8) = (24) - 2
g(8) = 22
Next step, find g(-5):
g(x) = 3x - 2
g(-5) = 3(-5) - 2
g(-5) = (3 * -5) - 2
g(-5) = (-15) - 2
g(-5) = -17
Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:
22 - (-17) = 22 + 17 = 39
D) 39 is your answer.
~
Answer:
-10
Step-by-step explanation:
We can figure out that the number line is by four.
How?
There is one line between 10 and 2. Sooo:
10 - 2 = 8
8 / 2 = 4
If we check it (10 - 4 - 4 = 2) it checks out!
Using this information we can figure out what the blue dot is.
2 (given) - 4 (incriments of number line) - 4 - 4 = - 10
There is our answer, -10!
