Answer:
11. (x-2)/(x+8)
12. 9+t
13. h = 2A/b
Step-by-step explanation:
11. Since x is used to represent the number, 2 less than a number is x-2. 8 more than a number is x+8. The quotient of the first and second of these is the first one divided by the second one:
... (x -2)/(x +8) . . . . . parentheses are required unless the expression is typeset:
12. Apparently, we're to assume the salesman keeps on driving. If he had any sense (or a good union), he would stop after 9 hours. t hours added to 9 is ...
... 9 + t
13. Divide by the coefficient of h.
... h = A/((1/2)b) = 2A/b
Answer:
what grade is this
Step-by-step explanation:
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u>
The breadth of rectangular carpet is 1.8 m.
<u>S</u><u>t</u><u>e</u><u>p</u><u>-</u><u>b</u><u>y</u><u>-</u><u>s</u><u>t</u><u>e</u><u>p</u><u> </u><u>e</u><u>x</u><u>p</u><u>l</u><u>a</u><u>n</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>
We have,
- The area of rectangular carpet that is 23.4 m²
- The length of carpet is 13 m.
We know that,
= Area of rectangle = Length × Breadth
= 23.4 = 13 × Breadth
= 23.4/13 = Breadth
= 234/130 = Breadth
= 1.8 m = Breadth
<h2>__________________________</h2>
