Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
Abigail and Spencer are correct, Lauren is incorrect.
Answer:
147
Step-by-step explanation:
Given:
Progesterone = 3.8 g
Glycerin = 7 mL
2% methylcellulose solution 50 mL
Cherry syrup ad = 90 mL
Now,
The total volume of the solution = 7 + 50 + 90 = 147 mL
Also,
2% methylcellulose solution 50 mL is concluded as:
the volume of methylcellulose in the solution is 2% of the total volume of the solution
thus,
volume of methylcellulose = 0.02 × 50 mL = 1 mL
Therefore,
Ratio strength of methylcellulose in the finished product
=
or
= 
Hence, the answer according to the question is 147
Answer:
Eliminating method
Step-by-step explanation:
For the given situation i.e.
3x + y = 1
And,
4x + y = 2
Here we use the elimination to determine the value of x and y
So,
3x + y = 1
4x + y = 2
- - -
-x = -1
x = 1
Now put the value of x in any of the above equation
So,
3 + y = 1
y = -2
Multiply and simplify (3 + i)(4 + 2i)
(3 + i)(4 + 2i) = (3*4) + (3*2i) + (4*i) + (2i*i) = 12 + 6i + 4i + 2i^2
i^2 = -1
12 + 6i + 4i + 2i^2 = 12 + 6i + 4i -2 = 10 + 10i
Use the imaginary number i to rewrite the expression:
-
