Step-by-step explanation:
45% of number = 180
=> 100% of number = 180 * (100/45) = 400.
Hence the number is 400.
Answer:
D. H = 2.1t + 12
Step-by-step explanation:
Let us assume the t be the time in minutes
And h be the water level
Now before reaching to the equation that need to be used
before this, determine the inches per minute i.e.
= 54 inches - 12 inches
= 42 inches in 20 minutes.
Now for per minute, it would be
= 42 inches ÷ 20 minutes
= 2.1 inches per minute
After this, multiply the inches per minute with the minutes t and add the sale to the beginning value i.e. 12
So the equation is
H = 2.1t + 12
hence, the last option is correct
This equation is an example of a Limacon with inner loop. By using the symmetry tests where:
POLAR AXIS/HORIZONTAL:
replace a) θ by -θ, b) r by -r and θ by π-<span>θ
VERTICAL AXIS:
replace a) </span>θ by π-θ, b) r by -r and θ by -<span>θ
POLE:
replace a) </span>θ by π+<span>θ, b) r by -r
If any of these rules, after replacing it in the equation, results to the original equation (making it the equivalent) then it is symmetrical to that axis.
In this case, it is only symmetrical about the polar/horizontal axis. </span>
Answer:
-5/12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
The solution to the given expression is -x³ + 9x + 6
Step-by-step explanation:
(9x - 4x² + 9) + (-x³ + 4x² - 3)
Since there is a positive sign in front of the second parentheses, then the terms inside will stay the same.
9x - 4x² + 9 - x³ + 4x² - 3
Group terms together that are alike. Also known as like terms.
-x³ + (-4x² + 4x²) + 9x + (9 - 3)'
Combine like terms.
-x³ + 9x + 6
