Answer:
Could you state the question in the correct order?? Like is N supposed to be there?
Answer:
y + b > 15
Step-by-step explanation:
given data
positive integers = x, y, a, b
x divided by y then remainder = 6
a divided by b then remainder = 9
to find out
possible value for y + b
solution
we know that here when x divided by y then remainder is 6
its mean y is greater than 6 and when a divided by b then remainder is 9
so its mean b is greater than 9
and we know remainder is less than divisor
so here y + b must be greater than = 6 + 9
y + b > 15
if the sphere has a diameter of 5, then its radius is half that, or 2.5.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%282.5%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B62.5%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20V%5Capprox%2065.44984694978736%5Cimplies%20V%3D%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B65.45%7D)
Answer:
x = -4
Step-by-step explanation:
Step 1: Define
j(x) = 3x + 1
j(x) = -11
Step 2: Substitute and solve for <em>x</em>
-11 = 3x + 1
-12 = 3x
x = -4
Answer:
18360
Step-by-step explanation:
A = P (1 + r/n)^(nt) where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years
A = 17000 (1 + .08/1)^(1*1)
A = 17000( 1.08)^1
A = 18360
