Answer:
<u>∗ = 0.4x³</u>
Step-by-step explanation:
(15y + ∗)² = 225y²+12x³y+0.16x⁶
<u>Note:</u>
225y² = 15y * 15y = (15y)²
12x³y = 2 * 15y * 0.4x³
0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²
So, by factoring the right hand side:
225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²
By comparing the left hand side with (15y + 0.4x³)²
<u>So, ∗ should be replaced with the monomial 0.4x³</u>
Answer:
Option 4
Step-by-step explanation:
The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.
Anyways:
Volume = Base Area × Height
•Base Area -> Circle = π×radius²
•Height is given as 7in.
Volume = π×(6.2in)² × 7in = 845.33975...
Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.
Option A is correct.
Step-by-step explanation:
We need to identify which statement is true in matrix addition.
In matrix addition we just add the corresponding elements.
In the options given only Option A is correct i.e, (n+4)-7 = 18
All other options have error in them.
In Option B there should be -12 instead of +12
In Option C there should be -11 instead of 11
In Option D we are not adding corresponding entries.
So, Option A is correct.
Keywords: Matrix addition
Learn More about Matrix Addition at:
#learnwithBrainly
Answer:12 inches
Step-by-step explanation:
Answer:
D) e
Step-by-step explanation:
ln e^e
We know that ln x^a is the same as a ln x
e ln (e)
we know that ln e =1
e (1)
e