Answer:
62 cubic yards
Step-by-step explanation:
<em>This is conversion from feet to yards.</em>
<u>Step 1: Write the ratio of yards to feet.</u>
Yard : Feet
1 : 3
<u>Step 2: Find out the volume of mould</u>
1 : 3
x : 186
<em>Cross multiply</em>
3x = 186
x = 62 yards
Therefore, 62 cubic yards of concrete is needed in order to fill the mould.
!!
Given that the first mass of the duck is 0.05 kg and it gains weight at a rate of 0.042 kg/week, the equation that would represent this scenario is,
y = 0.05 + 0.042x
where y is weight and x is the number of weeks. To determine the number of weeks in which the duck's mass becomes 0.890,
0.890 = 0.05 + 0.042x
The value of x from the equation is 20.
Answer:
The domain of the function will be {x I x ≠ 13}.
Step-by-step explanation:
The two functions f(x) and g(x) are given to be
f(x) = x + 7 and
Now, we have to find the composite function (fog)(x).
Here, (fog)(x) = f{g(x)}
⇒ 
Therefore, the denominator of the function can not be zero and the domain of the function will be {x I x ≠ 13}. (Answer)
With a line parallel to a side through a triangle we get similar triangles so a proportion.
AC : BC = AQ : PQ
AC = BC AQ / PQ
AC = 12.6 (7.2) / 8.4
AC = 10.8 cm
Answer: 10.8 cm
