Use a truth table to determine whether the two statements are equivalent.~(~q) and q
A. Yes
B. No
Answer: A
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Find the sample space for the experiment.There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with the number 5 on it. You pick a ball from the hat at random and then you roll a die.
A. {1 2 5 1, 1 2 5 2, 1 2 5 3, 1 2 5 4, 1 2 5 5, 1 2 5 6} B. {1 1, 1 2, 1 3, 1 4, 1 5, 1 6, 2 1, 2 2, 2 3, 2 4, 2 5, 2 6, 5 1, 5 2, 5 3, 5 4, 5 5, 5 6, 3 1, 4 1, 6 1, 3 2, 4 2, 6 2, 3 5, 4 5, 6 5} C. {1 1, 1 2, 1 5, 2 1, 2 2, 2 5, 5 1, 5 2, 5 5} D. {1 1, 1 2, 1 3, 1 4, 1 5, 1 6, 2 1, 2 2, 2 3, 2 4, 2 5, 2 6, 5 1, 5 2, 5 3, 5 4, 5 5, 5 6}
Complete the square for the binomial. Then factor the resulting perfect square trinomial.x2 + 
x
A. x2 + 
x + 
= 
2
B. x2 + 
x + 
= 
2
C. x2 + 
x + 
= 
2
D. x2 + 
x + 
= 
2
State the degree and leading coefficient of the polynomial function.f(x) = -13x4 - 6x3 - 7x2 + 9
A. Degree: 10; leading coefficient: -13 B. Degree: 4; leading coefficient: -13 C. Degree: 3; leading coefficient: -13 D. Degree: -13; leading coefficient: -7
Solve the problem.Julia, who is 1.80 m tall, wishes to find the height of a tree with a shadow 30.76 m long. She walks 21.03 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth.
A. 3.03 m B. 2.63 m C. 5.69 m D. 1.80 m