To solve for the system of equations, I will write the equation down as I rewrite the written form.
a number, n, (n) is added to 15 less than 3 times itself (+3n -15). The result is (=) 101. (101)
Now let's write only what's in the parenthesis.
n + 3n -15 = 101.
The correctly written form in your answers is:
3n - 15 + n = 101, your first answer.
As usual, draw a diagram. You can easily see that if you are x away from the wall,
<span>the angle of elevation of the bottom of the screen (A) is </span>
<span>cotA = x/3 </span>
<span>A = arccot(x/3) </span>
<span>angle B to the top is </span>
<span>cotB = x/10 </span>
<span>B = arccot(x/10) </span>
<span>So, since θ = B-A </span>
<span>dθ/dt = dB/dt - dA/dt </span>
<span>= -3/(x^2+9) + 10/(x^2+100) </span>
<span>= 7(x^2-30)/((x^2+9)(x^2+100)) </span>
<span>so, at x=30 </span>
<span>dθ/dt = 203/30300</span>
(5.5x + 6.2y) + (4.3x + 8.3z) + (1.6z - 5.ly)
Combine Like Terms
9.8x + 1.1y + 14.5z
So the perimeter is
9.8x + 1.1y + 14.5z
Answer:
$1.65
Step-by-step explanation:
The total purchase can be described by ...
4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog
8h = 13.20 . . . . . . . . . . . subtract 5.00
h = 1.65 . . . . . divide by 8
The price of a hot dog was $1.65.
There have to be at least 4 ducks recovered
