Answer:
34.98yd^3
Step-by-step explanation:
Volume of a sphere V=4/3πr3
Where V = 2240yd^3
π = 3.14
2240 = 4/3×3.14×r^3
2240 = 4.1866r^3
r^3 = 2240/4.1866
r^3 = 534.784
r = ( 534.784 )^1/3
r = 8.1169
Since each dimension is to be multiplied by 1/4
Hence, 1/4×8.1169
r = 2.029.
New volume will be
V = 4/3×3.14×2.029^3
V = 4/3×3.14×8.3558
V = 34.98yd^3.
X≤7
x>3
As a result, the answer will be
3 less than x and less than or equal 7. Hope it help!
Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Let garret’s age be x
x + 2 + (x + 3) + 2 = 39
2x + 7 = 39
2x = 32
x = 32/2
x = 16
Garrett’s age after two years = 16 + 2 = 18