Answer:
0.59375
Step-by-step explanation:
3f(x) - f(1/x) = x^2
x = 2: 3f(2) - f(1/2) = 2^2
x = 1/2: 3f(1/2) - f(2) = (1/2)^2
Let a = f(1/2) and b = f(2):
3b - a = 4; 3a - b = 1/4
3b - 4 = a
3(3b-4) - b = 1/4
8b = 12 + 1/4
b = 1.53125
3 * 1.53125 - 4 = a
a = 0.59375
Answer:
I THINK it's B, could be wrong.
Step-by-step explanation:
Answer:
Yes, the bill is absolutely accurate
Step-by-step explanation:
Cost of materials= $ 678.12
Final bill amount(given)=$1206.12
Rate= $32 per hour for 16.5 hrs
Total amount for 32 hrs = time * rate = 16.5* 32=$528
Therefore, by the problem ,
<em>Cost of materials+ Total amount for 32 hrs = Final bill amount</em>
= 678.12+ 528
=1206.12
<u>Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount</u>
Answer:
Part 1) The scale factor is 
Part 2) The dimensions of the enlarged prism are
a.Length=(8)(2)=16 ft
b.Width=(2)(2)=4 ft
c.Height=(6)(2)=12 ft
Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}
Step-by-step explanation:
we now that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
Part 1)
Find the scale factor
we know that
If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to 
Part 2)
we know that
To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor
so
Length=(8)(2)=16 ft
Width=(2)(2)=4 ft
Height=(6)(2)=12 ft
Part 3) Find the surface area of the smaller rectangular prism
we know that
The surface area of the rectangular prism is equal to the area of its six rectangular faces
SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}