Equation for n-th term of geometric sequence:
a(n)=a(1)*r^(n-1)
For 4th term,
a(4)=a(1)r^(4-1)
1/2=4*r^3
∛(1/8) = ∛(r^3)
r=1/2
For 10th term,
a(n)=a(1)*r^(n-1)
a(10)=4*(1/2)^(10-1)
a(10) =4/(2^9) =( 2^2)/(2^9)= 1/(2^7) = 1/128
This problem can be solve using the formula
P = ( a / t) x 100
Where p is the percentage
A is the allocated money on something
T is the total money
<span>A.
</span>Shoes
P = ( 36 / 60) x 100
P = 60 %
<span>B.
</span>Shirt
P = ((60 – 36) / 60) x 100
<span>P = 40%</span>
Answer: ![676units^{2}](https://tex.z-dn.net/?f=676units%5E%7B2%7D)
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the area of a square, which is:
![A=s^{2}](https://tex.z-dn.net/?f=A%3Ds%5E%7B2%7D)
Where s is the lenght of a side of the square.
2. By definition, the sides of the square have equal lenghts. You can calculate the lenght of a side by calculating the distance between two vertices of the aquare:
![s_{AB}=\sqrt{(2-(-8))^{2}+(-5-19)^{2}}=26units](https://tex.z-dn.net/?f=s_%7BAB%7D%3D%5Csqrt%7B%282-%28-8%29%29%5E%7B2%7D%2B%28-5-19%29%5E%7B2%7D%7D%3D26units)
Where
is the lenght of the side AB.
3. The area is:
![A=(26units)^{2}=676units^{2}](https://tex.z-dn.net/?f=A%3D%2826units%29%5E%7B2%7D%3D676units%5E%7B2%7D)
Answer:
70h + t
It can also be 700h + 10t
Step-by-step explanation:
height = h
time = t
700 feet (height)
10 minutes (time)
70h + 1t