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Questions in Grade College

[Jawaban] Decide which is the correct factored form of the polynomial [tex]$6 y^2+41 y-56$[/tex]. Choose the correct factored form. A. [tex]$(2 y+8)(3 y-7)$[/tex]

[Jawaban] What is a chemical change? Provide two examples.

[Jawaban] A math student has a plan to solve the following system by the elimination method. To eliminate the $x$-terms, he wants to multiply the top equation by 7. What should he multiply the second equation by so that when he adds the equations, the $x$ terms are eliminated? [tex] \begin{array}{l} -3 x-7 y=-56 \\ -7 x+10 y=1 \end{array} [/tex]

[Jawaban] A square steel bar is 50 mm on a side and 250 mm long. It is loaded by an axial tensile force of 200 kN. If E = 200 GPa and v = 0.3, determine the change of volume per unit volume. Options: 1) 0.000823 2) 0.0234 3) 0.0002 4) 0.00016

[Jawaban] In a scenario where a thin metallic strip on a vernier caliper descends from the upper edge to the lower edge and makes constant contact with the surface of a beaker, the main scale displays a reading of 6.4 cm with a vernier constant of 1.1 mm, and the fourth vernier scale division aligns precisely with a main scale division. Determine the precise depth of the beaker, assuming there is no zero error.

[Jawaban] What changes would you make to turn this formal proof into a paragraph proof? Given: Angles A and 15 are complementary. Prove: [tex]A=75[/tex] degrees. Proof: Statements & Reason Angles [tex]A[/tex] and 15 are complementary & Given [tex]m \angle A+15=90[/tex] & Definition of complementary angles [tex]m \angle A=75[/tex]. & By subtraction A. Leave out all symbols and write out the words. B. Leave out the reasons and just write the statements. C. Write the reasons first and then the statements. D. Write the statements and reasons in sentence format.

[Jawaban] Find the value of the expression: [tex]$27 a^0 c^3 \text { for } a=\frac{2}{3}, c=-\frac{1}{3}$[/tex]

[Jawaban] You are a loan officer trying to decide which clients deserve your consideration out of several loan applicants. | Name | Experian | Equifax | | :------ | :------- | :------ | | Kellin | 720 | 780 | | Natasha | 699 | 680 | | Edward | 789 | 650 | | Lisa | 10 | 670 | Based on each applicant's median credit score, who deserves your consideration? A. Kellin B. Natasha C. Edward D. Lisa

[Jawaban] In an emergency situation, what should a doctor do to preserve the life of an adult who is unconscious and may lack capacity? A. Assess their capacity again to see if they can understand the treatment that is needed. B. Proceed with the life-saving treatment as this is allowed under common law for someone who lacks capacity. C. Speak to a relative of the individual and ask them to consent to the treatment going ahead. D. Do nothing until an assessment of capacity has been completed, even if this endangers the life of the individual.

[Jawaban] A bag contains one blue, one yellow, and two red marbles. A second bag contains one red, one blue, and two yellow marbles. A random marble from each bag is removed. What is the probability of removing a red and a yellow? Give your answer as a fraction.