Answer:
Step-by-step explanation:
A_{n+1}=14*A_{n}
A_{1}=8
A_{1+1}=14×8=112
A_{2}=112
A_{3}=14*A_{2}=14×112=1568
A_{4}=14*A_{3}=14×1568=21952
A_{5}=14*A_{4}=14×21952=307328
Answer:
25 ≥ 0.90b + 2m
Step-by-step explanation:
Given:
Cost of each banana = $0.90
Cost of each mango = $2
Total amount = $25
Find:
Inequality
Computation:
Assume;
Number of banana = b
Number of mango = m
Total amount ≥ Cost of total banana + Cost of total mango
25 ≥ 0.90b + 2m
Answer:
The distance between the parallel sides is 20cm.
Step-by-step explanation:
Area of a trapezoid:

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.
3 of the 4 variables in this equation are already given:
A = 800
a = 48
b = 32
Just plug those in and solve for h:

Hey! So, here's a tip. When writing exponents, an easier way is to write a^b, rather than a to the b power. Besides that, here is your answer!
So-------
9^3=729
3^2=9
6^3=216
15^2=225
Now that we have that figured out, we can add them together, wish is simple. 729 + 9 + 216 + 225= 1,179.
Therefore, your final answer will be 1,174.
If you have any questions on this, I'm happy to help you. :)
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r =
= 10