1/3( 4 - 5x - 1)
= (1/3)(4 + - 5x + - 1)
= (1/3)( 4) + (1/3)(- 5x) + (1/3)( - 1)
= 4/3 + - 5x/3 + - 1/3
= - 5x/3 + 1 (Decimal: - 1.666667x + 1)
Hope that helps!!!!
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction
Step 1
4n-9=2(5+2n) Equation/Question
Step 2
4n-9=2(5+2n) Remove parenthesis
4n-9=4n+10
Step 3
4n-9=4n+10 Subtract 4n to sides
-9=10
Step 4
-9=10 Add 9
0=19
Answer
No solutions
Hope this helps
Answer:
Each shelf holds 30 inches of filling.
Step-by-step explanation:
Divide 180 inches of filling by the six shelves and you get 30 inches of filling per shelf
You are welcome
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
72 cups (US Gallons)
1 gallon = 19.215 cups.
