Write a proportion and solve for x ....
12 / x = 4 / 117
Cross multiply ...
12 * 117 = 1404
x * 4 = 4 x
4 x = 1404
x = 351
Answer:
whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:
Step-by-step explanation:
I think the answer to your first question should be:
30a²b - 30ab²
Your second answer is good
whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:
for example, 6a²b³c x 2abc = 6(2)(a²)(a)(b³)(b)(c)(c)
= 12a³b⁴c²
1 hour equals 70 miles so 70 times 4 equals 280 and half of 70 is 35 since you traveled 4.5 hours and 280+35 equals 315
Answer:
f'(1)=150ln(1.5)
Step-by-step explanation:
I'm not sure why you would need a table since the limit definition of a derivative (from what I'm remembering) gives you the exact formula anyway... so hopefully this at least helps point you in the right direction.
My work is in the attachment but I do want to address the elephant on the blackboard real quick.
You'll see that I got to the point where I isolated the h's and just stated the limit equaled the natural log of something out of nowhere. This is because, as far as I know, the way to show that is true is through the use of limits going to infinity. And I'm assuming that you haven't even begun to talk about infinite limits yet, so I'm gonna ask you to just trust that that is true. (Also the proof is a little long and could be a question on it's own tbh. There are actually other methods to take this derivative but they involve knowing other derivatives and that kinda spoils a question of this caliber.)
Answer:
20 units
Step-by-step explanation:
This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.
Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.
Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.
Perimeter of each L-shape region = the addition of the length of each side of the shape
Perimeter of each L-shape region = 8 + 5 + 5 + 2
= 20 units