Here are all of the answers:
1. yes, it is evenly divisible by 17 equally: 4,165 / 17 = 245
2. 194,610 / 26 = 7,485
3. 750 bananas divided equally by 50 students is 15 bananas per student:
750 / 50 = 15
4. 2400 / 15 = 160
5. 94,104 is not divisible by 12 evenly: 94,104 / 12 = 6,273.6
6. 44,237 / 31 = 1,427
7. 35 roses divided equally among 5 rows equals 7 roses per row: 35 / 5 = 7
8. 16,606 / 19 = 874
9. 83,525 is evenly divisible by 13: 83,525 / 13 = 6,425
10. $3,600 worth of toys divided by $18 per toy equals 200 toys: $3,600 / $18 = 200
1) cf= 24 hours/1 day, 1 hour/60 minutes
30 x 1/60 = .5
10 x 24/1 = 240
240 + .5 = 240.5 hours
2) cf = 24 hours/1 day, 60 minutes/1 hour, 12 inches/1 foot
a) 0.6 x 12/1 = 7.2 inches
b) 7.2 x 1/24 = 0.3 inches per hour
I hope this helped, have a nice day
Kindly proofread the question!!!
The leading term is x^6, not x5.
Answer: The additional roots are -2, +2, each with multiplicity 2.
Step-by-step explanation:
x^6 - 16x^2 = 4x^4 - 64
x^6 - 4x^4 - 16x^2 + 64 = 0
(x+2i)(x-2i) = (x^2+4) is a factor.
(x-2)(x+2)(x-2)(x+2)(x^2+4) = 0
Polynomial long division by x^2+4
x^6 - 4x^4 - 16x^2 + 64 = 0
First term of quotient is x^4
Subtract x^6+4x^4
Remainder is -8x^4 -16x^2+64
Second quotient term is -8x^2
Subtract -8x^4-32x^2
Remainder is 16x^2+64
Third quotient term is 16
Subtract 16x^2+64
Remainder is zero
Quotient is x^4 - 8x^2 + 16
(x^2-4)^2 = x^4 + 2(1)(-4)x^2 + 16
(x-2)(x+2)(x-2)(x+2)(x^2+4) = 0
The answer is 5 yd.
Take the side (16 yd) and subtract it with what you already know (11 yd)