Well,
it says The quatient of x and seven is 5 more than three times x
The quotient = x/7
three times x = 3x
x/7 = 3x + 5 This is the answer
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
Answer:
14.13 ft²
Step-by-step explanation:
The area of a semicircle is

We were given the radius of the semicircle to be: r=3 feet.
We were also asked to use π as 3.14.
We substitute into the formula to get:

This is the same as:

Or


The area of the semicircle is 14.13 ft²
Answer:
n is -32
Step-by-step explanation:

Answer:
the volume is 40 cm
Step-by-step explanation:
to find the volume all you need is length times width times height and you multiply it and that is your answer