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Questions in Grade College

[Jawaban] What is the slope of the line that passes through the points $(4,0)$ and $(-1,1)$?

[Jawaban] Dayshawn can choose two of his four t-shirts to take on a weekend trip. If the [tex]$t$-shirts[/tex] are labeled [tex]$A, B, C$[/tex], and [tex]$D$[/tex], which choice represents the sample space, [tex]$S$[/tex], for the event? [tex]$S={A B C D}$[/tex] [tex]$S={A B C D, D C B A}$[/tex] [tex]$S={A B, A C, A D, B C, B D, C D}$[/tex] [tex]$S={A B, B A, A C, C A, A D, D A, B C, C B, B D, D B, C D, D C}$[/tex]

[Jawaban] A circle has its center at $(-2,5)$ and a radius of 4 units. What is the equation of the circle? $(x+2)^2+(y-5)^2=16$ $(x+2)^2+(y+5)^2=16$ $(x+2)^2+(y-5)^2=4$ $(x-2)^2+(y+5)^2=4

[Jawaban] Find an equation for the line with the given information: (a) It passes through the point (5, -7) and is parallel to the line [tex]2x + y - 10 = 0[/tex]. (b) It has x-intercept 6 and y-intercept 4.

[Jawaban] Select the best answer for the question. 14. A force of 350 N causes a body to move with an acceleration of [tex]$10 m / s ^2$[/tex]. What's the mass of the body? A. [tex]$3,500 kg$[/tex] B. 35 kg C. 98 kg D. [tex]$3,430 kg$[/tex]

[Jawaban] Find the $x$ and $y$ intercepts of this linear equation. $-3 x+4 y=12$ x-intercept (____, ____) y-intercept (____, ____)

[Jawaban] An isosceles triangle has two sides of equal length, [tex]$a$[/tex], and a base, [tex]$b$[/tex]. The perimeter of the triangle is 15.7 inches, so the equation to solve is [tex]$2 a+b=15.7$[/tex]. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of [tex]$b$[/tex]? Select two options. -2 in. 0 in. 0.5 in. 2 in. 7.9 in.

[Jawaban] Express $\log _b \frac{p^3 q^{7}}{m^4 b^7}$ in terms of sums and differences of logarithms. Choose the correct answer below. A. $\log _b \frac{p^3 q^7}{m^4 b^7}=3 \log _b p+7 \log _b q-4 \log _b m-7$ B. $\log _b \frac{p^3 q^7}{m^4 b^7}=\log _b 3+7 \log _b p q-\log _b 4+\log _b m+\log _b 7$ C. $\log _b \frac{p^3 q^7}{m^4 b^7}=\log _b 3 p+\log _b 7 q-\log _b 4 m-7$ D. $\log _b \frac{p^3 q^7}{m^4 b^7}=3 \log _b p q+7-4 \log _b m-7 \log _b b$

[Jawaban] If $P(x, y)$ is the point on the unit circle determined by real number $\theta$, then $\tan \theta$ = A. $\frac{1}{x}$ B. $\frac{1}{y}$ C. $\frac{y}{x}$ D. $\frac{x}{y}$

[Jawaban] A PFAS anchorage point for a 6' (1.8 m) lanyard must be able to hold: A. 5,000 pounds (2,268 kg) B. 1,000 pounds (453.6 kg) C. 250 pounds (113.4 kg) D. 500 pounds (226.8 kg)