The answer is most likely to be B
Answer:
<h2>
6.4 cm</h2>
Step-by-step explanation:
Volume of cartoon = 5 cm × 8 cm × 15 cm
= 600 cm³
Volume of milk = 5 cm × 8 cm × 12 cm
= 480 cm³
Space = 600 cm³ - 480 cm³ = 120 cm³
Let depth be ' h '
15 × 5 × h = 480
Multiply the numbers
75h = 480
Divide both sides of the equation by 75
75 h / 75 = 480 / 75
Calculate
h = 6.4 cm
therefore, The depth of the milk is 6.4 cm
Hope this helps...
Best regards!!
The inverse of the function is k(x) = 
You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.
k(x) = 10x + 5 ----> Switch the x and k(x)
x = 10k(x) + 5 ----> Subtract 5 from both sides
x - 5 = 10k(x) ----> Divide both sides by 10.
= k(x) ----> Now switch the order for formatting
k(x) = 
And this is your new inverse function.
Answer:
The value of a=4
Step-by-step explanation:
Given the matrix

- A matrix is singular if its determinent is zero.
so solving the matrix B by taking its determinant to get the value a

as according to determinant formula


Therefore, the value of a=4
Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² =
( take the square root of both sides )
x + 2 = ±
= ±
= ±
( subtract 2 from both sides )
x = - 2 ± 1.5
, thus
x = - 2 - 1.5
≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5
≈ 0.12 ( to 2 dec. places )