Answer:
Step-by-step explanation:
Two Decimal places
.9(29.3) = 26.37
18(5.75)= 103.50
Three Decimal places
3.21(2.4) = 7.704
50.7(14.06)= 712.842
Four Decimal places
4.2(.938)= 3.9396
.48(12.19)= 5.8512
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)
Answer:
15 kg
Step-by-step explanation:
Radius of a solid sphere : mass of a solid sphere
3 cm : 9 kg
Find the mass of a sphere of the same material of radius 5 cm
Radius of a solid sphere : mass of a solid sphere
5 cm : x kg
Equate both ratios to find x
3 cm : 9 kg = 5 cm : x kg
3/9 = 5/x
3 * x = 9 * 5
3x = 45
x = 45/3
x = 15 kg
The mass of a sphere of the same material of radius 5 cm is 15 kg
Answer: A is 36.82%. B is 35.5%
Step-by-step explanation: For manufacturer A 22/19 chian discount simply means 22% discount followed by 19% discount.
Therefore we have 100-22= 78 and 100-19=81.
The final price would be 0.78*0.81=0.6318
Therefore discount would be
1 - 0.6318=0.3682
Hence, percentage discount would be 0.3682*100%=36.82%.
For manufacturer B 25/14 chian discount means 25% discount followed by 14% discount. So we have 100-25=75% and 100-14= 86%
Final price would be 0.86*.75=0.645.
Discount= 1 - 0.645= 0.355.
Percentage discount would be 0.355*100%=35.5%.
