Find the inverse of the function. f(x) = 2×3 – 4 (5 points)

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 – (x – 6)2 (5 points)

Determine the size modification factor, ψs, for a rectangular beam with b = 18 in. and d = 20 in., three uncoated No. 8 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 60 stirrups located every 6 in. along the span. Assume 6,000-psi lightweight concrete and a clear cover of 1.5 in.

BIO 101 CRN 20220 hybrid class meets on campus.

f(x) = 3x + 5, g(x) = 6×2 Find (fg)(x). (5 points)

Find a cubic function with the given zeros. (5 points)-2, 5, -6 

For this question, you may not write on The Time Machine by H. G. Wells. Character growth refers to a character’s ability to change and adapt, based upon circumstances and events in a story. A dynamic character is one who changes in the course of a narrative, due to experiences and interactions with others.The character may change beliefs, attitudes, behaviors, etc. This may be demonstrated through relationships with other characters, or action taken by the character.  It is important to note that “growth” is not always positive. Sometimes, characters change for the worst! The deterioration of a character’s mental state or social interactions may represent the dynamism of that character. (You will need to decide if a character is changing, or if that character’s original value system and attitude are simply on display–unchanged–due to the story’s events.)  For your mini essay, choose one character from a story (it can be a short story, novel, play, or film) that we have discussed this semester. Explain why you think that the character is a dynamic character who demonstrates growth. For this question, you may not write on The Time Machine by H. G. Wells. What actions, thoughts, or shifts in relationships reveal this growth? What seems to have changed? You do not need to quote directly from the literary work, but you must identify specific evidence that supports your assessment of the character’s growth. * Write 300-500 words. You should divide your essay into paragraphs (about 2) and include an introduction and conclusion to the entire mini essay. (The introduction and conclusion need only be one sentence each.) * You will earn points based upon your specificity (reference details from the work you are writing about) and your original thoughts.  *  Do not spend time summarizing the literary work. Instead, keep your focus upon your analysis and supporting your ideas. 

Use ACI 318-14 Table 25.4.2.2 to determine the development length for the straight tension bars (no hooks) in a rectangular beam with b = 17 in. and d = 23 in., three epoxy-coated No. 6 Grade 60 bars placed in the bottom of the beam, and No. 4 Grade 60 stirrups located every 12 in. along the span. Assume 7,000-psi lightweight concrete and a clear cover of 1.75 in.

ACI 318 provides rules for designing hanger reinforcement.

Write the expression as the sine, cosine, or tangent of an angle. sin 48° cos 15° – cos 48° sin 15° (6 points)