39. Evaluate the logarithm. Round decimal answers to three decimal places. log, 3

Q: Problem #4: Let A = 6 -1 -1 6 -1 -1 -1 6 (a) Find a matrix P that orthogonally diagonalizes A. (b)…

A: For find a matrix P that orthogonally diagonalizes A, we will first find the eigenvalues and…

Q: Find the least common multiple of [105, 385], [2,20] and [21, 15]. Find the prime factorization of…

A: 1)i) [105,385]ii) [2,20]iii) [21,15]According to bartleby guidelines we solve only one question…

Q: * -2 Ay AY 2 4 x a) x-intercept: c) Domain: a) x-intercepts: c) Domain: e) Where is the function…

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Q: x²-3x-18

A: Let P(x)=x2−3x−18

Q: Write the sum using sigma notation: —2 – 4 – 8 + ... – 256 - Σ i=1

A:

Q: Find the general solution of the given system.using matrices dx/dt = -5/2x + 4y dy/dt = 3/4x-3y

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Q: In a race in which seven automobiles are entered and there are no ties, in how many ways can the…

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Q: Determine (a) the area and (b) the perimeter of the quadrilateral. a. The area of the quadrilateral…

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Q: Find the prime factorization of the following: a) 989 b) 9555 c) 8000

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Q: 1 Question 1: Let R be a relation on the set of real numbers defined as follows: For any two real…

A: Given: R is a relation on the set of real numbers defined as,for any two real numbers x and y , ((x,…

Q: An author receives a $7,600 advance payment for a book publishing deal and wants to place the money…

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Q: System A System B -8x+9y=-13 [A1] 7x=-28 [B1] 5x-3y=-5 [A2] 5x-3y=-5 [B2] Answer the questions…

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Q: 12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to…

A: Question No. 12:A 30-mg sample of radiaoactive isotope decays to 27 mg in 12.5 h. (a) To calculate…

Q: A store is monitoring the sale price of an item. The table models the daily price, y, in dollars,…

A: The objective of the question is to identify the type of function that best models the given data…

Q: Use the FOIL method to multiply the binomials. (3x+2)(5x + 1) (3x+2)(5x+1)= (Simplify your answer.)

A: We need to evaluate :

Q: + (0.05-+) = 1 X10

A:

Q: Current Attempt in Progress A pair of points on the graph of an exponential function is given. Find…

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Q: 4x+12y=-32 - 3x - 14y= 14 Solve the system by completing the steps below to produce a reduced…

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Q: Use the Fundamental Counting Principle to solve. An ice cream store sells 2 drinks, in 3 sizes, and…

A: An ice cream store sells(i) 2 drinks(ii) in 3 sizes(iii) in 5 flavorsfind how many ways can a…

Q: If you knew that f(-4)=8,then what (x,y) coordinate point must lie on the graph of y=f(x)?Explain

A: Given .

Q: A = 1 10 0-4 1 0 05 ) Compute the characteristic polynomial of A. det(A - AI)

A: Given,

Q: How many years would it take an investment of $11,000 to triple if it's value is given by V =…

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Q: For the investment described below, V is the investment amount in dollars, t is the elapsed number…

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. 4 g(x) = 4x h(x) =…

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Q: Skis are listed by a manufacturer for $870, less trade discounts of 30% and 17%. What further rate…

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Q: Find the product and simplify 2 X-X-6 3 4x X 2 2x + 2x 2 X +5X+6

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Q: For each system, choose the best description of its solution. If applicable, give the solution. (a)…

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Q: Find a possible formula for the exponential function described. The value V of an investment in year…

A: The investment is initially worth  and it grows by  each year.The aim is to find an exponential…

Q: tiply using the rule for the square of a binomial. (x-12)² (x-12)² =

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Q: 1. Find the quadrant of each point and the angle each of the points make with the positive x- axis…

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Q: Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn…

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Q: 6. This figure is made from part of a circle and part of a square. 2 2 3 3 5 5 a. What is the…

A: So, Perimeter=19 units

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

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Q: Given the following Venn diagram, find n(BUA° ). A 65 B C 15 E 50 D 45 27 13 3 15 5 12 15 B 15 U

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Q: √x-1 3√x √x

A: A=x−13xx

Q: A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 5 pounds of…

A: A store is having a sale on trail mix and jelly beans.For 3 pounds of trail mix and 5 pounds of…

Q: Graph the system below and write its solution. y=-=√x+2 -x-4y=-4 Note that you can also answer "No…

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Q: How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice…

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Q: 4x²-16x + 16

A: Given that the expression we have to find the difference of square formula

Q: Write the equation in exponential form. log, 36 = b 36b = 6 b36 = 6 Ob6 = 36 6b = 36

A: log(base B) A = C ( logarithmic form)ie BC = A (exponential form)Example:(1): log( base 7)49 =…

Q: On the following grid graph all three equations, label each graph. 7x - 3y = 21 a. b. y=-3x-4 c. x=8…

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Q: Working on a 90% confidence interval, if we took repeated sample 250 times, how many confidence…

A: Percentage of Confidence interval =90% =0.9 Non-Confidence interval =(100-90)%=10%=0.1 Number of…

Q: 3. 25x²-9

A: The given expression is .The aim is to find the difference of square.The formula used:.

Q: find the apr: I=390,p=2000,y=1.5

A: I=390,p=2000,y=1.5

Q: Calculate the least square regression equation for the data. Include the slope and y intercept.…

A: I have appended the formula used in solution procedure

Q: The net price of an item after trade discounts of 40.00%, 12.50%, and 5.50% is $3,460.00. a.…

A: The net price of an item after trade discounts of 40.00%, 12.50%, and 5.50% is $3,460.00.Let the…

Q: The functions s and t are defined as follows. s(x) = -2x+2 2 t(x) = x² + 1 Find the value of s (t…

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Q: Evaluate the following expressions. Your answer must be an angle in radians and in the interval…

A: The given expression is So in the answer box, enter only  because  is already provided.

Q: A student bought some maths books and some computing books at store for K230. Maths cost K15 and…

A: The objective of this question is to find out how many maths books and how many computing books the…