A crew is building 13 miles of road. they complete half a mile every week. what is the equation for figuring out how long it wil
2 answers:
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Answer:
152
Step-by-step explanation:
We know that the total surface area of a cuboid is the sum of the surface area of all six of its faces.
We also know that each opposing side has the same surface area. Thus the total surface area is equal to:
(
)
Answer:
Step-by-step explanation:
The range of the sine and cosine functions is .
This means that the maximum value the basic sine and cone functions is 1 and the minimum value is -1.
This means that the two functions are bounded above and below.
The correct answer is B.
Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)
=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)