Answer:
30
Step-by-step explanation:
We require to calculate the volume of 1 brick
V = lbh ( l is length, b is breadth and h is height ), that is
V = 14 × 8 × 5 = 560 cm³
Now divide the volume of concrete available by the volume of 1 brick.
number of bricks made =
= 30
This is a geometric progression problem. We can the general formula that can tell us how many flowers would be planted each month.
Let's write the terms that we know and see if we can find the pattern:

The patern here is obvious. Let's write it down:

This formula gives us a number of flowers planted in the n-th month.
a.
b.
The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.
c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

Now, calculating the coefficient b (y-intercept), we have:

So the equation is:

d.
The maximum value of stress is 560, and occurs at strain = 0.07.
Quadratic is in the form
ax^2+bx+c=0
so distribute and stuff and simplify
remember
a(b+c)=ab+ac
(x+2)^2+5(x+2)-6=0
remember order of opertaions
(x+2)(x+2)+5(x+2)-6=0
x^2+4x+4+5x+10-6=0
add like terms
x^2+9x+8=0
Answer: 1406
Step-by-step explanation:
Given Table :
Admissions Probability
1,040 0.3
1,320 0.2
1,660 0.5
Now, the expected number of admissions for the fall semester is given by :-

Hence, the expected number of admissions for the fall semester = 1406