1. A part-time faculty in a certain university teaches 12 hours a week and makes P4,992. At this rate of pay, how much would the faculty make for teaching 17 hours a week?

Q: 1. Use the diagram below to derive the Law of Sines in the case of an obtuse triangle. C A b T C 27…

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Q: A city had a population 50,000 of people in the year 2010. The table models the population, y, after…

A: A city had a population 50,000 of people in the year 2010. The table models the population, y, after…

Q: Which measurement will have units of ft³? the area of a square with side lengths of 3 feet the…

A: The units has to be ft3

Q: approximately 82.6 million Americans will be at least 65. The bar graph shows the estimated number…

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Q: PRACTICE Cynthia is an engineer at a manufacturing plant. Her boss asks her to use rectangular metal…

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Q: But what is the interpretation?

A: Given, radius is given by where t is in seconds after the pebble strikes the water.

Q: 1. Suppose B and A are 3x3 matrices where A is the inverse of B. Find the possible values of q,…

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Q: Name the subset(s) of real numbers to which each number belongs. 10. 8.1TT 13. 12

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Solve the inequality. Graph each solution on a number line . -x^2-49>0

A: To solve the following inequality. To graph the solution on a number line.

Q: Marlene used a calculator to evaluate an expression and got a result of 7. Which expression did she…

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Q: How can the logarithmic expression be written? Select True or False for each statement. Statement…

A: To determine whether each of the following statement is true or false.

Q: 1 -3 -1 HA=[2] [2 If A = and AB = - 3 4 b₁ = b₂: = - 11 9 -2 86 determine the first and second…

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Q: The city is issuing bonds to raise money for a building project. You obtain a $4900 bond that pays…

A: Principal (Initial Investment) = $4,900Annual Interest Rate = 2% (or 0.02 as a decimal)Time (in…

Q: Problem 6. Determine if the following series converge or diverge. If they converge give the value of…

A: To determine whether the following series converge or diverge. If they converge, then to give the…

Q: + - 1 19 14 19 14 + 32 = 3 Fite your answer in lowest terms. (Type an integer or a simplified…

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Q: 4.1 There are 30 people sitting at a round table. Some of them are liars, the others tell the truth.…

A: Step 1:-Understanding the Problem30 individuals are seated around a round table. Some tell the…

Q: Khalid makes a wall shelf shaped like a right rectangular prism with the dimensions shown. 5 in. (4…

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Q: Fit a quadratic function of the form f(t) = co + c₁t+c₂t² to the data points (0,9), (1, 10), (2,…

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Q: 4 ft 2 ft 4 ft 10 ft 6 ft 2 ft 4 ft 4 ft The perimeter of the shape is feet.

A: We have to find the perimeter of the given shape.First let's define the perimeter.The perimeter of a…

Q: A principal amount of 300$ is placed in a savings account with an annual rate of 4.75% simple…

A: Principal amount P =$300rate R=4.75%=0.0475Time, t=7 years

Q: Evaluate the following expression. 4²-2(-13)(1) 2

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Q: A principal amount of 800$ is placed in a savings account with an annual interest rate of 1.1%…

A: To calculate the interest earned when a principal amount is compounded continuously, you can use the…

Q: If a matrix A is 6x6 and the product AB is 6x3, what is the size of B? The size of B isx.

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Q: []). H Exercise 5.1.5 Suppose {u₁,..., uk} is a set of vectors from R". Show that 0 € span {u₁,...,…

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Q: A farmer Alex over at the field and see is 36 head and 94 feet. Some are pigs and some Marquis how…

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Q: 8. Which of the following set are the intervals of the root partition? A. x4 x>-3 -3>x>-1-1> x2…

A: Given that :Following intervals are provided as :A.  , , B. C. D. To find : Set that are intervals…

Q: Translate the sentence into an inequality. A number x divided by 8 is greater than -23. O

A: A number x is divide by 8 is greater than -23.

Q: 213 1 2 3 Without performing any computations determine T(1, 0, 0), 7(0, 1, 0) and 7(0, 0, 1).…

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Q: 2. Let û, û be two unit vectors. If possible, compute the following Otherwise, explain why more…

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Q: Find the standard matrix of the linear transformation. +-1 T x - 2y + z x +y = 3z -

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Q: The median home value in Maine and Idaho (adjusted for inflation) are shown below: Year Maine Idaho…

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Q: Which number line is divided into tenths? O O 0 0 ←++ 0 0 Mark this and return + H▬▬▬▬ 1 10 1 11…

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Q: Determine which of these sequences show Euler circuits. W U Z X Y a) b) Z→X-W-V-U-Z→Y→X→V-Z c)…

A: The given graph is

Q: Find the orthogonal projection of v = projection = 1110 2 onto the plane -₁ + x₂ + 3x3 = 0

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Q: On a separate piece of paper, graph the piecewise function G 1 x² f(x) = = 23 Based on your graph,…

A: we have given function

Q: David beings the summer with a savings of $54.00 more than Fatima . David's job pays 8.25 an hour.…

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Q: A truck driver receivies a $15,000 sign-on bonus after a new company. The truck driver places the…

A: A truck driver receivies a $15,000 sign-on bonus after a new company. The truck driver places the…

Q: Arjun is building a frame for his father's painting. Which measurement will tell him the minimum…

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Q: Which of the following equations is linear? A y=x¹ +6 By=1-3x² C y = 5x + 9xº D None of the above

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Q: For f (X) = 3x2 - X +5, 2f (-3)-f(4)=

A: To find the value of 2f(−3)−f(4) for the function f(x)=3x2−x+5, we will find first f(−3),f(4) .

Q: 6. Lili can make yarn ankle bracelets and wrist bracelets. She has 600 yards of yarn available. It…

A: Total yards of yarn available = 600 yardsWrist bracelet requires = 6 yards of yarnAnkle bracelet…

Q: For F (X) = -2X +7, find the value of F (-1)+F(4)

A: The function is F(x)=−2x+7We have to find the value of F(−1)+F(4)So, find the value of the function…

Q: The graph of y=x+ 21 is shifted to the left. O True O False

A: y=|x+2|

Q: Find a possible formula for P(x) desribed below. Write your answer in factored form. The polynomial…

A: To find a possible formula for  described below.The polynomial of degree 3, , has a root of…

Q: Evaluate the following expression. 2 (5 [26-(8+8)]- 13}-8 2 {5 [26-(8+8)]- 13}-8= (Simplify your…

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Q: 10. Let T: R² → R² be a lincar transformation that maps u = H V = [3] into [3¹]. (a) Find the image…

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Q: Write an equation for the quadratic graphed below x-intercepts: (-2,0) and (1,0). y-intercept: (0,2)…

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Q: With regard to the Cartesian Coordinate system (choose all that are true) + in the Y axis is usually…

A: we have to find all true statements.

Q: Is 56.745 a rational number? Justify your answer.

A: To determine whether 56.745 is a rational number.

Q: Problem 1. Find the formula for the general term an of the following sequences, assuming that the…

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