Hello!
Let's solve this with a proportion.
We multiply 2.5 by 12 to find x.
2.5(12)=30
The worm can travel
30 meters in 12 minutes.
I hope this helps!
Answer:
The maximum value of N-M will be 792
Step-by-step explanation:
For N - M to be maximum
N must be very large and M must be very small
largest 3 numbers occur in 900's and smallest 3 digit numbers occur in 100's
so we need such an N which starts with 9 and ends with 1 so that on reversing it produces a number starting with 1.
If N = 901 , M will be 109
N - M = 792
This is the largest possible value of N - M
All other values of N-M will give a smaller value than 792.
The answer is 3ba I hope this is right
Answer:
if its a 9 by9
Step-by-step explanation:
you need AT LEAST 36 feet
Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
