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.
Answer:
8.
Denote the equation : y = ax + b
Use the first 2 values of x and y in table:
3a + b = 21
5a + b = 35
Subtract the 2 equations:
=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0
=> The solution is y = 7x
9.
Denote the equation : y = ax + b
Use the first 2 values of x and y in table:
5a + b = 17
10a + b = 22
Subtract the 2 equations:
=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12
=> The solution is y = x + 12
Hope this helps!
:)
Answer:
(-2,1)
Step-by-step explanation:
Since this is an upwards opening parabola, the minimum point is at the vertex
We can find the x coordinate of the vertex by
y = 2x^2 +8x +9
where a=2 b =8 and c =9
x = -b/2a
x = -8/(2*2)
= -8/4 = -2
The x coordinate is -2
Now substitute this in to find the y coordinate
y = 2(-2)^2 +8(-2)+9
= 2*4 -16+9
8-16+9
=1
The vertex = (-2,1), which is the minimum point
Answer:
The answer to this question is A
Step-by-step explanation:
Answer:
The domain (or input values) of a continuous line is all real numbers
The range (or output values) of a continuous line is all real numbers
f(2) =4
Step-by-step explanation:
The domain (or input values) of a continuous line is all real numbers
x can be positive and negative
The range (or output values) of a continuous line is all real numbers
y can be positive and negative
f(2) is the value of y at x =2
f(2) =4
g(2) = 1/2(2) +3
