Answer:
n = 8.15
Step-by-step explanation:
3/8 is 4 & 3/5 % of what number?
Rewrite this as: 3/8 is (4 3/5)% of what number?
Convert 4 3/5% into a decimal: 0.046
Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.
Dividing both sides by 0.046, we get n = 8.15
Answer:
<u><em>(x+2)^2 + (y-6)^2 = 41</em></u>
Step-by-step explanation:
The equation for a circle is (x-h)^2+(y-k)^2=r^2
So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:
(x+2)^2+(y-6)^2=r^2
Next, we need to find the radius, and one of the points is already known, being (-6, 1)
With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.
To find a:
-2 to -6 = change of 4
To find b:
6 to 1 = change of 5
Next, write out the equation for this:
4^2+5^2=c^2
16+25=c^2
41=c^2
c = √41
The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.
(x+2)^2 + (y-6)^2 = 41
Hope that helps.
Answer:
(h o g)(5) = 20
Step-by-step explanation:
(h o g)(5) = h(g(5)) <em>This is two ways of writing the expression</em>
g(x) = 
h(x) = 3x + 5 <em>g(x) and h(x) are your "plug-ins" for the expression</em>
g(5) = 
= 
= 5 <em>This is how you would solve for plugging in 5 to g(x)</em>
<em>Whatever you get for g(5) {the answer to it} is what you will be plugging into h(x); x being equal to g(5).</em>
h(5) = 3(5) + 5 = 15 + 5 = 20
Here is a step-by-step method for solving them:
1. Substitute y = uv, and
dy/dx = u
dv/dx + v
du/dx
into
dy/dx + P(x)y = Q(x)
2. Factor the parts involving v
3. Put the v term equal to zero (this gives a differential equation in u and x which can be solved in the next step)
4. Solve using separation of variables to find u
5. Substitute u back into the equation we got at step 2
6. Solve that to find v
7. Finally, substitute u and v into y = uv to get our solution!
I'm so sorry if the explanation is confusing but I hope it's helps you to solve ^ ^
Answer:
Step-by-step explanation:
4x - 12 - 5x ≥ -1
-x - 12 ≥ -1
-x ≥ 11
x ≤ -11
