Answer:
The value of the expression is -116
Step-by-step explanation:
Given

Required
Solve when b = -4 and c = 1

Substitute -4 for b and 1 for c




<em>The value of the expression is -116</em>
Answer:
The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms
Degree of polynomial: degree of a polynomial is the term with highest of exponent.
Degree of binomial -gh⁴i + 3g⁵ = 6
1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)
2nd term(3g⁵) = (power of g = 5)
the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.
Answer:

Step-by-step explanation:
We have a geometric sequence with:
,
, and 
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:

Then:

Now we solve for 


89.95 x 0.05 (5%)
=4.4975
The final cost of the DVD player is 89.95-4.4975
=85.4525
≈ $85.45
Answer: The answer is 314.28 cm² (approx.).
Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.
We need to find the area 'A' of the circular cross-section of the pipe.
Given, diameter of the circular section is

So, the radius of the circular cross-section will be

Therefore, cross-sectional area of the pipe is

Thus, the answer is 314.28 cm² (approx.).