Questions in mathematics

Questions in mathematics

[Free] Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The function, [tex]f(x)[/tex], describes the height of a dome on top of a building, where [tex]f(x)[/tex] is the height from the base of the dome and [tex]x[/tex] is the horizontal distance from where the dome meets the building. [tex]f(x)=2 \sqrt{-x^2+10 x}[/tex] The domain of the function is $\square \leq x \leq$ $\square$ .

[Free] What is the place value of each digit in the number 4.28356?

[Free] Given $2 x^2=-8, x$ is

[Free] A sphere and a cylinder have the same radius and height. The volume of the cylinder is $54 m^3$. Amie found the volume of the sphere. Her work is shown below. $V=\frac{2}{3}+54$

[Free] A farmer has 100 m of fencing to enclose a rectangular pen. Which quadratic equation gives the area ($A$) of the pen, given its width $(w)$? A. $A(w)=w^2-50 w$ B. $A(w)=w^2-100 w$ C. $A(w)=50 w-w^2$ D. $A(w)=100 w-w^2

[Free] Which of the following represents $\sum_{n=1}^{104} 6$? A. $(1 \times 6)+(104 \times 6)=630$ B. $(1 \times 6) \times(104 \times 6)=3,744$ C. $6(104)=624$ D. $6(104-1)=618$

[Free] What is the median of the following string of values? $16,95,3,37,97,13,27,42,64,1^4$ A. 32 B. 37 C. 27 D. 42

[Free] Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents $c$, the total cost, when $x$ tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased). A. $c(x)=5.50+20.50 x$ B. $c(x)=5.50 x+20.50$ C. $c(x)=5.50+21.60 x$ D. $c(x)=5.50 x+21.60

[Free] Select the correct answer from each drop-down menu. Lionel uses two functions to model the costs of having a problem diagnosed and repaired by two appliance repair companies. He models the cost, in dollars, of having Phirs Appliances handle the repair job, requiring $x$ hours of labor, with function [tex]p : p(x)=68 x+81[/tex]. He models the cost of having Quality Electric handle the same repair with function [tex]q : q(x)=51 x+90[/tex]. The function represents the amount, in dollars, Lionel will save by having Quality Electric handle an [tex]x[/tex]-hour repair instead of Phir's Appliances. Lionel will save If he uses Quality Electric for a repair needing 2 hours of labor.

[Free] Evaluate $r s+14 s$ when $r=6$ and $s=\frac{1}{4}$.