6) Copy and complete each sequence below.A)1,3,6,10,___,____b)8,7,5,2,____,____c)1,4,9,16,____,_____d) What is the pattern for c
Free_Kalibri [48]
Answer:
A) 15,21
B) -2,-7
C) 25,36
D) These numbers are square roots of 1,2,3,4,....
Hope this will help:)
Answer:
The vector joining the ship to the rock is t= 7 i + 5 j
The direction is 0.9505 radians east of north.
Step-by-step explanation:
The position vector of the ship:
r= 1 i + 0 j
The position vector of the ship:
s= 6 i + 5 j
The vector joining the ship to the rock is:
t = r + s
t = (1 i + 0 j) + (6 i + 5 j)
t = 7 i + 5 j
The bearing of the rock to the ship is:
Θ= 
= 0.9505 radians
Answer:
It takes 147 hours for the snow to reach 62 inches.
Step-by-step explanation:
Given:
Height of the snow at the beginning = 84 inches
Rate at which the snow melts = f 0.15 inches per hour
To Find:
The time taken for the snow to reach 62 inches = ?
Solution:
Let the time taken to reach 62 inches be x
Then according to the question,
Total height of the snow - (rate of melting)(x) = 62 inches
On substituting the values,
84 - (0.15)(x) = 62
84 - 0.15x = 62
- 0.15x = 62 - 84
- 0.15x = -22
0.15x = 22
x = \frac{22}{0.15}
x= 146.6
x = 147
The same as the diagonal of a square.
Hope this helped!
Since we have a cubic root, we're interested in factoring cubes inside the root, so that we can take them out. If we factor 648, we have
So, we have
![3x\sqrt[3]{648 x^4 y^8} = \sqrt[3]{3\times 6^3\cdot x^3\cdot x \cdot y^6\cdot y^2}=3x\cdot 6\cdot x\cdot y^2\sqrt[3]{3\cdot x\cdot y^2}](https://tex.z-dn.net/?f=3x%5Csqrt%5B3%5D%7B648%20x%5E4%20y%5E8%7D%20%3D%20%5Csqrt%5B3%5D%7B3%5Ctimes%206%5E3%5Ccdot%20x%5E3%5Ccdot%20x%20%5Ccdot%20y%5E6%5Ccdot%20y%5E2%7D%3D3x%5Ccdot%206%5Ccdot%20x%5Ccdot%20y%5E2%5Csqrt%5B3%5D%7B3%5Ccdot%20x%5Ccdot%20y%5E2%7D)
And the result simplifies to
![18x^2y^2\sqrt[3]{3xy^2}](https://tex.z-dn.net/?f=18x%5E2y%5E2%5Csqrt%5B3%5D%7B3xy%5E2%7D)
