Answer:
y = 1/2x - 7
Step-by-step explanation:
y = mx + b
m (slope) = 1/2
x = 4
y = -5
<em>substitute</em>
-5 = 1/2 * 4 + b
-5 = 2 + b
-5 -2 = b
-7 = b
y = mx + b
y = 1/2x -7
Answer:
A) 10.38hours
B) 617.95 is the concerntration of CO
Step-by-step explanation:
A) when x=600
T= 0.0002x^2 - 0.316x + 127.9
T= 0.0002(600)^2 -0.316(600) + 127.9
T= 10.38secs
B) to find the concerntration, use Almighty formular
X=-b+-sqrt(b^2-4ac)/2a
0.0002x^2-0.316x-127.9=9
0.0002x^2 - 0.316x + 118.9=0
X= 0.316 +- sqrt(0.316^2) -4(0.0002×118.9)/(2×0.0002)
X= 0.316+(0.68817/0.0004)=962.05 or
X=-0.316 -0.68817/0.0004 =617.95
Therefore X is within the domain of 617.95 is the concerntration
Answer:
D
Step-by-step explanation:
We can test each pair making each ratio into its simplest form.
For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.
For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.
For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.
For D, 4/10=2/5, and 12/30=2/5. They are equivalent.
Answer:
The volume of the box is 3/4 cubic meters.
Step-by-step explanation:
We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.
5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.
5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.
15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.
Answer:
Answer: a5 = 2500
Step-by-step explanation:
For a geometric sequence:
First term = a0
Second term = a1 = a0*r
Third term = a2 = a0*r^2
Fourth term = a3 = a0*r^3
....
nth term = a(n-1) = a0*r^(n-1)
Given: a1 = 4 = a0*r
Also: r = 5
So, a0*5 = 4 => a0 = (4/5)
a5 = a(6-1) = Sixth term = a0*r^5 = (4/5)*5^5 = 2500
Hope this helps
correct me if im wrong☺
