Answer:
He can walk 0.25 blocks in 1 minute
Step-by-step explanation:
If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.
7.5/30 = 0.25
Answer:
<em>the answer is c</em>
( 2 x + 3 y ) ( 2 x − 3 y ) is the factored form of the expression
Step-by-step explanation:
- 4 x 2 − 9 y 2 can be also written as ( 2 x ) 2 − ( 3 y ) 2
- Now, as per identity: a 2 − b 2 = ( a + b ) ( a − b )
- So , in case of our expression a = 2 x , b = 3 y ( 2 x ) 2 − ( 3 y ) 2 = ( 2 x + 3 y ) ( 2 x − 3 y )
(12z^2 + 25z + 12)/(3z^2 - 2z - 8)
You have to factor it. You know how to factor it right?
(12z^2 + 16z + 9z + 12)/(3z^2 - 6z + 4z - 8)
(4z(3z + 4) + 3(3z + 4))/(3z(z - 2) + 4(z - 2))
((4z + 3)(3z + 4))/((3z + 4)(z - 2))
(4z + 3)/(z - 2)
Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
Answer:
D. 5
Step-by-step explanation:
From the information given:
The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:
where; the two points are:
(-1 , f( -1) ) & ( 1, f(1) )
For f(1); we have:
f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2
f(1) = 1 + 3 - 5 + 2 -2
f(1) = - 1
For f( -1); we have:
(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2
= 1 - 3 - 5 -2 - 2
= -11
∴
= 5
