The graph of this equation is a line with slope -2/3 and y-intercept -12.
\({10 \choose 7} q^7 (2x)^3 = \boxed{960q^7x^3}\)
The coefficient is 960.
The maximum area can be achieved by attaching a square of side length 16 meters. (This is possible because 16(3) = 48.)
The answer is 16^2 = 256 m^2.
\(\frac{\frac{1}{x}-1}{x-1}=\frac{1-x}{x} \cdot \frac{1}{x-1} = \boxed{-\frac{1}{x}}\)
The formula for the area of a circle is \(\pi r^2 = \pi(5^2) = \boxed{25\pi}\)
f(x) is equal to 25 regardless of the value of x.
The area of the yellow region is:
\(\pi (7.53)^2 - (\frac{7.53}{\sqrt{2}})^2 = \boxed{149.78}\)
Without dimensions I cannot answer the question. However, know that if a parallelogram has sides a and b, then the area is ab.
Suppose you have two numbers: 10^(-2) and 10^(-4). Convert the larger number to the smaller number in scientific notation first.
The angle is \(\sin^{-1}(\frac{21}{25})= \boxed{57.14^{\circ}}\)
The length of the other side is \(\sqrt{40^2- 30^2} \approx 26.457\) feet.
The perimeter is \(2(26.457) + 2(30) = \boxed{112.915}\) feet.
If coffee consumption is cut by 25%, then the patient consumes 75% of the coffee he originally did. So, this is \(4(8)(\frac{75}{100}) = \boxed{24}\) ounces a day.
We want to find the average number of points Michael scores every game, which is \(\frac{98}{15} = \boxed{6.533}\)
The origin is (0, 0). In point slope form, the line equation is:
\(y-y_0 = m(x-x_0)\)
\(y - 0 = -1(x - 0)\)
\(\boxed{y = -x}\)
Thanks
The angle of descent is \(\tan^{-1}(\frac{1500}{9000}) = \boxed{9.46^{\circ}}\)
I am assuming that this problem is asking for -2.5 multiplied by 2.
Multiplication is repeated addition, so you can add -2.5 two times: -2.5 + (-2.5) = -5.
The submarine is diving 40 feet, so its elevation decreases by 40.
The answer is \(-28-40 = \boxed{-68}.\), which is answer choice D.
Hello, this should help:
https://courses.lumenlearning.com/boundless-algebra/chapter/the-real-number-e/#:~:text=The%20number%20e%20%2C%20sometimes%20called,as%20ln(x)%20%E2%81%A1%20.
If the diagonals of a kite have length x and y, then the area of the kite is xy/2.
This should help:
https://www.chegg.com/homework-help/definitions/distance-formula-63#:~:text=The%20distance%20formula%20is%20used,%2C%20d%2C%20between%20two%20points.&text=The%20distance%20formula%20is%20derived,distance%20between%20the%20two%20points.
Because the asymptotes are at x = 1 and x = 2, the factors in the denominator is (x-1)(x-2) = x^2 - 3x + 2.
So, a = -3 and b = 2, which has a sum of -1.
As n approaches infinity, n^4 is significantly bigger than n^2. So, we can simplify this as \(\frac{2n^4}{6n^4} = \boxed{\frac{1}{3}}.\)
y varies directly as x, so the fraction x/y is constant. We get
\(\frac{x}{y} = \frac{-6}{10} = \frac{6}{y}\)
So, y = -10.
Simplify:
\(2.2x - 3.1y = -3.2\)
\(0.4x + y = 8.8\)
Solving, we get \((x, y) = \boxed{(7, 6)}.\)
