Step-by-step explanation:
The formula to find the circumference is
C=d×(3.14)
Therefore you must work backwards to find the radius.
If the circumference is x then divide both sides of the equation by pie to get the diameter. Then once you have the diameter you divide that number by two to get the radius.
In 14 pounds of a 50% mixture we have 0.5*14=7pounds of cement
lets think that we need x pounds of mix of an 80% cement so in that mix we will have 0.8x pounds of cement. If we'll mix both we wiil have (14+x)pounds of mix and we have (0.8x+7) cement on it.
in mixture mix there are 60% of (x+14)pounds of cement so it is 0.6(x+14) of cement
make equation (sum of mix)
0.6(x+14)=0.8x+7
0.6x+8.4=0.8x+7
0.2x=1.4
x=7
Answer: engineer need 7pounds of 80% mix
P.s. look at the picture it more easy for understanding!
Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
Write the fractions in ascending order: 1/4, 2/8 (same as 1/4), 3/4 and 4/8 (same as 1/2). 3/4 is greater than 1/4, greater than 2/8 and greater than 4/8, so Audrey, at 4/8, at the most.
Answer:
- 1/2
Step-by-step explanation: