3/7. if you make them equivalent fractions it would be 30/70 or 14/70. 30/70 is bigger.
Answer:
25 is the area because5 times 5 equals 25
Step-by-step explanation:
hope this helps
Answer:
132 days to 125.4 days percent of change
Step-by-step explanation:
p= N-O/O x 100% where p is the percent change, is the New value and O is
the Old value. We are given the Old value (132) and the New value (125.4) which we can substitute into the formula to calculate the percent change:
p= 125.4-132/132 x 100%
p= -6.6/132 x 100%
p= (-660/132%)
p= -5%
Y = -2x - 3
First make a table, then start inserting the x's you choose and figure out the y's.
x y
----------------------
-2 -2(-2) -3
4 - 3
1
-----------------------
-1 -2(-1) - 3
2 - 3
-1
------------------------
0 -2(0) - 3
0 - 3
-3
-------------------------
1 -2(1) - 3
-2 - 3
-5
--------------------------
2 -2(2) - 3
-4 - 3
-7
--------------------------
Now you can plot the points into a graph.
(-2, 1), (-1, -1), (0, -3), (1, -5), (2, -7)
Answer:
4096π / 5
Step-by-step explanation:
∫∫∫ (x² + y² + z²) dV
In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.
E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)
∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ
Evaluate the first integral.
∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ
∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ
Evaluate the second integral.
¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ
¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ
²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ
Evaluate the third integral.
²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ
²⁰⁴⁸/₅ π (-cos π + cos 0)
²⁰⁴⁸/₅ π (1 + 1)
⁴⁰⁹⁶/₅ π