4. Use Structure Explain why the product of two binomials in the form (a+b)(a-b) is a binomial instead of a trinomial.
1) It takes Kali eight minutes to sweep a porch.Shawna can sweep the same porch in 11 minutes.If they worked together how long would it take them?
7. Given overline (DF) with D(-1,11) and F(-9,-5) . if E partitions DF such that the ratio of DE to DF is 5:8 find the coordinates of E.
Make the following calculations using your calculator. 1.3times 10^3+2.5times 10^2 2.6times 10^4-1.7times 10^3 (1.5times 10^2)(2.3times 10^-5) (4.4times 10^5)/(2.0times 10^-2)
Change the following numbers in scientific notation to decimal notation. 5.93times 10^-5 3times 10^4 1.5times 10^3
8) Working alone, Eduardo can harvest a field in 14 hours. One day his friend Amy helped him and it only took 7.47 hours. How long would it take Amy to do it alone?
Simplify the radical below. -2sqrt [4](6)-2sqrt [4](5)+3sqrt [4](6) square
9. Represent and Connect Annalise withdraws 22.50 each day from her account for a week. How can you represent the change in the account for the week?
6) Nicole can pick forty bushels of apples in 15 hours.Carlos can pick the same amount in 11 hours.How long would it take them if they worked together?
8. (-(1)/(2)+1(1)/(8))cdot (2(2)/(3)-3(1)/(3))cdot 7.5
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 $
