Activity 1: Use the fundamental law of proportion to solve the missing variable. Write your answer and solution beside each item. 8 4 1. 2 k 39 9 2. 14 8100 %3D 28 2 r-1

Q: 6. Put the following in the simplest form: b+2/5x 6-y 0x (9+b)-y

A: Frist strat this above problem simply fy and then put the value b=3 and more simplyfied

Q: A person is loading a heavy new washing machine into the back of a truck and is using a ramp to get…

A: We have to find the resultant vector and it's magnitude.

Q: Form a polynomial Zeros: -1,0,6 Degree: 3

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Q: Classify this polynomial. 8y cubic quadratic linear none of these

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Q: Find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions. f(x) = 10x - 7 g(x)…

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Q: 10. y = 5x2 + tan(x) 10x-sec2(x)) y' : 2/5x²+cot(x) a. o b. y' = 10x+sec²(x)) 5x²+tan(x)…

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Q: 7. (1) Write as a single logarithm: log3 a + 3 log3 b – 4 log3 c (2) Sarah expanded the following…

A: 1 (1/2)log3a +3log3b -4log3c here  log3a  + log3b3 - log3c4 log3ab3/c4   2 ln(a/e4b) ln(a1/2/e4b)…

Q: Use the two given functions to write y as a function of x. x+6 y = 4m - 6, m = 4

A: We can write y as a function of x in the following steps.

Q: Wite the factored fom of the polynomial function with real coe-fficients, a lead cofficier ot l, $…

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Q: x+4 Let f(x) = - 5x– 4, h(x) = - 5 Evaluate (f o h)(21). ... The composite function (f o h)…

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Q: Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in 3…

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Q: 1.", The difference of the squares of two consecutive even integers is 92. What are these numbers?…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: When factoring 6x4 – x2 – 2 by substitution, Let u = ____________.

A: Given that the polynomial is 6x4-x2-2. It is required to factor the polynomial 6x4-x2-2 using…

Q: Find the equation of the line that is parallel to the line 4r+y 6 and that passes through the point…

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Q: The ratio of boys to girls in the checkers club at Anastasia's schoolis equal to 2:3 The number of…

A: The ratio of boys to girls in the checkers club at Anastasia's schoolis equal to 2:3 The number of…

Q: Graph the inequality. y + 5x > 0.

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Q: The magnitude M of an earthquake is related to the energy E that it releases. The formula is M =…

A: This is a problem related to the logarithmic function. Based on the general concepts we will solve…

Q: 8. Formulate a linear equation given: o Slope and y-intercept m = -2, b = 3 Slope and a point 2 m =…

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Q: Graph the equation by plotting the points. x^2-y = 9

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Q: (Proof) For any integer n, n² + n is even.

A: We know the product of consecutive integers in a even integer.

Q: 22. x2 + 32x + 256 = 1 81

A: We can solve the given problem as follows:

Q: b, = (n+ 2)² for n > 0. un,

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Q: f(x) = 2x5 – 3eár

A: Given query is to find the derivative of the expression.

Q: Find the equation of a hyperbola satisfying the given conditions. Vertices at (0, 7) and (0,-7);…

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Q: Find the least-squares solution x' of the system 1 -2 -6' -1 X= 10 3 4 x* =

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Q: Find the inverse of the following function and graph both f and f on the same coordinate plane. f(x)…

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Q: determine

A: We will find the derivative using product rule and chain rule.

Q: 1_1, 3 Solve: a-2 %3D 5a 2a

A: We have to find value of a .

Q: At the optimal solution from part a), analyze the bank’s constraints (number of new branches, number…

A: answer of given question is in next step

Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric description…

A: Dimension of a set is the number of linearly independent vectors in that set. Dimension of a…

Q: An antique clock is expected to be worth $350.00 after 2 years and $530.00 after 5 years. a) Find…

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Q: The Thompson family is buying a car that can travel 70 miles on two gallons of gas. Assume that the…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Members of the Math Club in MDSF developed a game named MATH Bingo, in this game there are 100 chips…

A: Given information:  There are 100 chips in the box numbered 1-100.Event A = Picking a odd…

Q: 23. Challenge Problem: Calculate the diameter size for the five holes to drill in the 1.5-cm thick…

A: topic - mensuration

Q: Convert the equation f(t) = 331e-0.04t to the form f(t) = ab a = b = Give answers accurate to three…

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Q: Dylan invested $700 in an account paying an interest rate of 1 % compounded quarterly. Sebastian…

A: Given: Dylan:Invested amount=$700Interest rate=134%Number of conversions=compounded…

Q: cm Find the area of the shape to the left. 12 cm 8 cm

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Q: 2. In the midyear of 2020, a country's population is 109,581,078 with a growth rate of approximately…

A: Current population (in mid 2020) of a country is 109,581,078 Growth rate is 1.35% then to find the…

Q: Find the degree of this polynomial. 10t4 Submit

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Q: The figure to the right shows two parallel lines intersected by a transversal. Let x= 103° Find the…

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Q: 3:07 ll A bartleby.com 2. graph the ratloan Punenang graph the rationai functiong X-2 scribed Image…

A: Given query is to graph the indicated function.

Q: f(x)=bx+4  b is constant. If f(1)=3 what is the value of f(-3)

A: f(1)=3 is given  put the values and we get b value 3 = b(1) +4 b = -1 now put in euqation f(x) = 4 -…

Q: Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and…

A: a )     let the exponential growth function be           y=abx          where a is the initial value…

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /8x +2 Suppose that g(x) = 8x + 2. h(x) =D

A: We can solve this as follows:

Q: Applications of Trigonometry (Monday, Apr. 4, 2022) 2.) At what angle will this archer have to aim…

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Q: 5. V2z + 3 = 1– Vz + 1 |

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Q: Find the least-squares solution x* of the system 0 1 3 X = 0 0

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Q: Write the first six terms of the arithmetic sequence shown below. an = an - 1-9, a, = 28 .. a1

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Q: Quadratic function given the vertex of (0,-3) and point (-2,7)

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Q: A ship is traveling a straight course sights a lighthouse at an angle of 32.8° to its heading as…

A: topic - trigonometric ratios