Given that the number of bridges has been modeled by the function:
<span>y=149(x+1.5)^2+489,505
To find the year in which, y=505000 we shall proceed as follows:
From:
</span>y=149(x+1.5)^2+489,505
substituting y=505000 we shall have:
505000=149(x+1.5)^2+489,505
simplifying the above we get:
0=149(x+1.5)^2-15495
expanding the above we get:
0=149x^2+447x+335.25-15495
simplifying
0=149x^2+447x-15159.8
solving the quadratic equation by quadratic formula we get:
x~8.69771 or x~-11.6977
hence we take positve number:
x~8.69771~8.7 years~9 years
thus the year in which the number will be 505000 will be:
2000+9=2009
<span>12^3 = 1728
and
14^3 = 2744
First, let's reduce the range of numbers to check. The cube root of 1000 is 10 and the cube root of 3000 is 14.4225. So we need to look at the numbers 11, 12, 13, and 14. Not looking at 10 since the question states "BETWEEN 1000 and 3000". Now the only way you're going to get an odd number when multiplying 2 numbers is if both numbers are odd. And since we're looking for perfect cubes, that would imply that we're cubing an even number. So the answers will be
12^3 = 1728
and
14^3 = 2744</span>
Answer:
The solution to that inequality is (-2,2).
Step-by-step explanation:
Given the inequality |x|<2, we have two possibilities
1) x<2 or
2) -x<2 ⇒ x> -2.
Then the intersection between solutions is (-2, 2).
A = P(1 + r)^t is the interest formula
A = 1000(1 + .02)^t
A = 1000(1.02)^t
I'm not sure which of your two answers A or C have the t raised to a power but you need to choose the one with the t raised to a power.
Answer: 72° or any muliple of it: 72°, 144°, 216°, 288°, 360°, ...
It can be either clockwise or counterclockwise.
Explanation:
Thi is because a regular pentagon has 5 congruent sides.
Then you determine the angle of rotation by dividing 360° (a complete turn) by the number of sides (5)
360° / 5 = 72°.
Then every 72° the segments of the image will overlap those of the preimage.
