Complement angles, sum is equal 90
Give one angle = 70 to find other: 90 - 70 = 20
Answer
Complement of angle with the measure of 70 degrees is 20 degrees
F''(x) = 6x + 8
∫f''(x) = f'(x) = 3x^2 + 8x + c1
∫f'(x) = f(x) = x^3 + 4x^2 + c1x + c2
At point (0, -2),
c2 = -2
3x - y = 2
y = 3x - 3
f'(0) = 3
c1 = 3
Therefore, the required function is
f(x) = x^3 + 4x^2 + 3x - 2
Answer:
(a) 40
(b) 15% per week, to the nearest percent.
Step-by-step explanation:
Given:
old production,
P(w) = 230(1.1^w)
(a) At week 0, w=0, so
P(0) = 230(1.1^0) = 230
Difference (old - new) = 230-190 = 40
(b) about 15% per week
(c) from the 4th week on
approximate growth rate of new factory
N(w) = 190(R^w)
we know
w=0, N(0) = 190
w=7, N(7) = 505
so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.
(c)
The old production tabulated:
w P(w) New
0 230 190
1 253 220
2 278 252
3 306 290
4 337 337
5 370 380
6 407 440
7 448 505
So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.
Answer:
250gr
Step-by-step explanation:
The amount of sugar syrup that I would get by making 30% sugar syrup using 75g sugar is going to be given by the weight of the sugar added to the weight of water. Therefore, we have the following equation:
Now, we need to find x:
75 + x = 250
x = 250 - 75
x = 175
The amount of sugar syrp is 175gr + 75 grm = 250gr.
Hello,
| 2 k|
|4 -9 |=6
==>2*(-9)-4*k=0
==>k=-9/2
