Circumference formula is 2pir so 2(3.14)(22) is 138.16
Step-by-step explanation:
Perimeter = 2 * (Side A + Side B)
= 2 * (3x + 2 + x - 5)
= 2 * (4x - 3)
= 8x - 6.
We have 8x - 6 = 50, so 8x = 56 and x = 7.
Length of rectangle = 3(7) + 2 = 23.
Width of rectangle = (7) - 5 = 2.
Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
Answer:
5 tables
Step-by-step explanation:
3 = 24
1 = 24 ÷ 3 = 8
40 chairs = 40 ÷ 8 = 5
Hope this helps!