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Questions in mathematics

[Done] [tex]$9 p^4 \cdot\left(-8 p^2\right)=[/tex]

[Done] Which of the statements about the following quadratic equation is true? [tex]6 x^2-8=4 x^2+7 x[/tex] A. The discriminant is greater than zero, so there are two real roots. B. The discriminant is greater than zero, so there are two complex roots. C. The discriminant is less than zero, so there are two real roots. D. The discriminant is less than zero, so there are two complex roots.

[Done] The mass of Earth is written as $5.9737 \times 10^{24}$ kilograms. If this number was written in standard notation, how many zeroes would it have? A. 18 B. 20 C. 22 D. 24

[Done] Determine the products of each of the multiplicative expressions below. 1. $17 \times 2$ 2. $3 \times 17$ 3. $17 \times 4$ 4. $17 \times 6$ 5. $8 \times 17$ 6. $18 \times 17$

[Done] $(4(-1)+2)^2-6 \div 2

[Done] Let $z=8\left(\cos \left(\frac{\pi}{3}\right)+i \sin \left(\frac{\pi}{3}\right)\right)$ and $w=3\left(\cos \left(\frac{\pi}{6}\right)+i \sin \left(\frac{\pi}{6}\right)\right)$. Which statement describes the geometric construction of the product $z w$ on the complex plane? A. Stretch $z$ by a factor of 3 and rotate $\frac{\pi}{2}$ radians counterclockwise. B. Stretch $z$ by a factor of 3 and rotate $\frac{\pi}{6}$ radians counterclockwise. C. Stretch $z$ by a factor of 24 and rotate $\frac{\pi}{2}$ radians counterclockwise. D. Stretch $z$ by a factor of 24 and rotate $\frac{\pi}{6}$ radians counterclockwise.

[Done] Evaluate the integral. (No decimals. If necessary, enter your answer as a reduced fraction.) [tex]$\int_0^2\left(\frac{4}{7} x^3+\frac{9}{2} x^2-\frac{4}{7} x\right) d x=[/tex]

[Done] Decreasing half of a number by 19.7 results in -4.1. What is the number? Use the given equation to find the number: [tex]$\frac{1}{2} x-19.7=-4.1$[/tex]

[Done] A type of feed claims to boost the growth rate of cows. The feed is tested on two twin newborn cows. Bessie receives the experimental feed, and Bertha receives regular corn feed. Their weights are recorded below. \begin{tabular}{|c|c|l|c|c|c|c|}\hline Month & April & & May & June & July & Aug \\hline Bessie & 150 kg & & 210 kg & 260 kg & 320 kg & 400 kg \\hline Bertha & 150 kg & & 250 kg & 290 kg & 340 kg & 400 kg \\hline\end{tabular} Graph the data. Make sure you follow the TAILS rules of graphing! a. Both cows ended at the same weight, but did the experimental feed change the way they gained weight at all?

[Done] [tex]$\frac{9}{5} \times \frac{1}{2}$[/tex]