Answer:
It can be filled 15 times
Step-by-step explanation:
If 5 casks hold 120 gallons each,
5x120= 600
To find how many times a 40gallon barrel can be filled,
= 600/40
= 15
This means a 40 gallon barrel will be filled 15 times.
Answer:
4^(-2)
Step-by-step explanation:
4^6 * 4^-8
Since the bases are the same, and we are multiplying, we can add the exponents
4^(6-8)
4^(-2)
Let x be the first angle
y be the second angle
z be the third angle.
for the second angle, complementary angles are angles sum are 90 degrees
y = 2 ( 90 - x )
y = 180 - 2x
2x + y = 180
for the third angle, supplementary angles are angles sum are 180 degrees
z = 0.5( 180 - x )
z = 90 - 0.5x
0.5x + z = 90
then the sum of a triangle is 180
x + y + z = 180
so x = 60
y = 60
z = 60
(1 - 3i)(5 + 5i)(4 - 1i)
= (5 + 5i - 15i - 15i²)(4 - 1i)
= (5 - 10i - 15i²)(4 - 1i)
= 20 - 40i - 60i² - 5i + 10i² + 15i³
= 20 - 45i - 50i² + 15i³
Answer:
16 x¹⁰ + 88 x⁵ + 121
step-by-step explanation:-
( 4 x⁵ + 11)²
- use ( a + b)² = a² + 2ab + b² to expand the expression
( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²
calculate we get
16 x¹⁰ + 88 x⁵ + 121
