Questions in mathematics

Questions in mathematics

[Free] Select the correct answer. Terrance kicks a soccer ball at his game. Solve the given equation to find the times, [tex]$t$[/tex], when the ball lands back on the ground, in seconds. [tex]$-16 t^2+40 t=0$[/tex] How many seconds is Terrance's ball in the air?

[Free] What is the probability that a card drawn randomly from a standard deck of 52 cards is a black five? Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places, if necessary.

[Free] 3. Multiply the following and verify the result for x = 2, y = 1, and z = 3. (a) 6yz × (x²y² + 2yz) (b) 9x²(2x³ - 5x²) (c) (3/2)x(10y²x - 100yx²)

[Free] ∫ (3x² + 14x + 13) / (x + 4) dx

[Free] Determine where the following reasoning is flawed: [tex]$7 \sqrt{(x-1)^2 + 2x - 1} = 7 \sqrt{(x^2 - 2x + 1) + 2x - 1} = 7 \sqrt{x^2} = x$[/tex] A. In the last root, you can choose the value of the unknown so that its square is negative. B. The last equality is stating that the square root of a positive number can be a negative number. C. Within the expressions found in the first two square roots, there are negative terms. D. In the first equality, the expansion of the perfect square trinomial inside the root has a negative coefficient.

[Free] Perform the indicated operations on the following polynomials. Subtract $6 a^3-2 a^2+4$ from $5 a^3-4 a+7$ $\square$ a $\square$ + $\square$ $\square$

[Free] [\frac{6}{7}+\frac{3}{8}-\frac{1}{2}] \frac{4}{3}

[Free] What is the multiplicative rate of change for the exponential function [tex]f(x)=2\left(\frac{5}{2}\right)^{-x}[/tex] ? A. 0.4 B. 0.6 C. 1.5 D. 2.5

[Free] Find the simplified product. [tex]$\frac{b-5}{2 b} \cdot \frac{b^2+3 b}{b-5}$[/tex]

[Free] What is $27 n^4+9 n^3$ in factored form?