Hello from MrBillDoesMath!
Answer: 1 17/24
Steps:
Evaluate (5x-6y+20x)/ 4yz when x = 5, y = 3, z = 14
(5(5) - 6(3) + 20(14)) / 4 (3)(14) (Substitute in values)
= (25 - 18 +280) / 4 (3) (14) (Evaluate products)
= (287) / 4 (3) (14) (Evaluate expressions)
= 287/ 168 (4 (3)(14) = 168)
= (168 + 119 ) /168 287 = 168 + 119
= (168)/168 + 119/168
= 1 + 119/168
= 1 119/168
BUT 119 = 17 * 7 (surprise!) and 168 = 12 * 7 * 2 so answer
= 1 (17*7)/(12*7*2)
= 1 (17)/(12*2) (Cancel 7's)
= 1 (17/24)
Regards, MrB
Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large (100000000000) or small (0.00000000001) to be written in a conventional manner.
The use of this notation is based on powers of 104
Example:
Big numbers:

Small numbers:

However, in areas such as physics and chemistry, scientific notation is important to make approximations such as:
mass of a proton
mass of an electron and others.
Answer:
D. (0, 3)
Step-by-step explanation:
Answer:
g(x)=4x-48
Step-by-step explanation:
f(x)=0.25x + 12
substitute
f(x) with y
y=0.25x + 12
then replace x with y and y with x
x=0.25y + 12
swap equation
0.25y + 12 = x
0.25y = x - 12
divide both sides by 0.25
Y=4x-48
2 important fact to know about vertical angles:
• they’re always opposite of each other
• they’re always congruent (equal to each other)
Your answer will be:
C - ∠BEA and ∠DEF