Consider a population that grows according to the recursive rule P_(n)=P_(n-1)+70 with initial population P_(0)=60. Then P_(1)=square P_(2)=square Find an explicit formula for the population. Your formula should involve ven (use lowercasen) P_(n)=square Use your explicit formula to find P_(100) P_(100)=square
Find the distance between the pair of points. N(-4,-11),P(-4,-3) d=square (Simplify your answer. Type an exact answer, using radicals as needed.)
Divide the fractions below and leave your answers as mixed numbers or reduced fractions. (5)/(6)div (1)/(9)=square (1)/(3)div (3)/(6)=square (8)/(9)div (11)/(12)=square (7)/(10)div (11)/(15)=square
Solve for y. (y)/(2)=(y)/(5)-3 Simplify your answer as much as possible. y= square
Calculate the answer to the appropriate number of significant figures: 848.1801+97.2=square
6x-5(2x+9)leqslant 2x+3 A) xgeqslant 8 the police station B) xleqslant 8 the park C) xleqslant 3 the airport D) xgeqslant -8 the zoo E) xleqslant -8 the library
Solve the equation. (1)/(3)b+4=(7)/(9) The solution set is square (Select "all real numbers" if applicable.)
20. Determine at least one real solution for x that satisfies the equation shown below: (2x)/(x+3)-3/(x+1)=-1
What is the solution to this equation? 3(4x+6)=9x+12 A. x=10 B. x=-2 C. x=-10 D. x=2
Find the product and simplify. (x^2-2x-4)(x^2-3x-5)= square
Apply the distributive property to the expression. $100(0.07a+0.02b)=\square $
51. Find the volume of a pyramid with a square base, where the perimeter of the base is 15.8 ft and the height of the pyramid is 20.4 ft. Round your answer to the nearest tenth of a cubic foot.
4) $v^{1}=$ A) 0 B) 1 OC) v OD) $1/v$
What is the range of the function graphed above? $-\infty \lt y\leqslant 2$ $-\frac {3}{2}\leqslant y\lt \infty $ $-\infty \lt y\lt \infty $ $\{ 2\} $
2. You are inscribing a regular pentagon in a cIrcle. You need to know the angle measure between the vertices. You divide $360^{\circ }$ by what number? 3 s 6
Which equation represents a line that has a slope of $-\frac {1}{2}$ and passes through point $(4,-5)$ $y=-\frac {1}{2}x+\frac {3}{2}$ $y=-\frac {1}{2}x+\frac {13}{2}$ $y=-\frac {1}{2}x-7$ $y=-\frac {1}{2}x-3$
Smartphones: A poll agency reports that $38\% $ of teenagers aged $12-17$ own smartphones. A random sample of 120 teenagers is drawn. Round your answers to at least four decimal places as needed Part: 0/6 Part 1 of 6 (a) Find the mean $\mu _{\hat {p}}$ The mean $\mu _{\hat {p}}$ is 45.6000 Part: 1/6 Part 2 of 6 (b) Find the standard deviation $\sigma _{\hat {p}}$ The standard deviation $\sigma _{\hat {p}}$ is $\square $
1. If $x+3=7$ then x equals: A. 3 B. 4 C. 5 D. 10
Find the angle $\beta $ between $0^{\circ }$ and $180^{\circ }$ that satisfies the following equation. $21^{2}=20^{2}+29^{2}-(2)(20)(29)cos\beta $ $\beta \approx \square ^{\circ }$ (Round to one decimal place as needed.)
Solve the equation given by completing the square. $5x^{2}+20x-25=0$ [Hint: Divide by 5 first] $x=\square $