Answer:
96
Step-by-step explanation:
64 x 1.4 = 96
V = 115999.674 cm3
The surface area of the parallelogram based prism is 1548 units squared.
<h3>Surface area of a parallelogram based prism.</h3>
The prism has 2 parallelogram base and 4 rectangular faces.
Therefore,
surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces
Therefore,
surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)
surface area of the prism = 2(204) + 2(247) + 2(323)
surface area of the prism = 408 + 494 + 646
surface area of the prism = 1548 units²
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Answer:
f¯¹(x) = 23/ (6x + 3)
Step-by-step explanation:
f(x) = (23 – 3x)/6x
The inverse, f¯¹, for the above function can be obtained as follow:
f(x) = (23 – 3x)/6x
Let y be equal to f(x)
Therefore, f(x) = (23 – 3x)/6x will be written as:
y = (23 – 3x)/6x
Next, interchange x and y.
This is illustrated below:
y = (23 – 3x)/6x
x = (23 – 3y)/6y
Next, make y the subject of the above expression. This is illustrated below:
x = (23 – 3y)/6y
Cross multiply
6xy = 23 – 3y
Collect like terms
6xy + 3y = 23
Factorise
y(6x + 3) = 23
Divide both side by (6x + 3)
y = 23/ (6x + 3)
Finally, replace y with f¯¹(x)
y = 23/ (6x + 3)
f¯¹(x) = 23/ (6x + 3)
Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is
f¯¹(x) = 23/ (6x + 3)
Answer:
57
Step-by-step explanation:
14.25 / 0.25 is the same as 14.25 * 4.
Both will equal 57