(a) Calculate log1000 + 5log10. (b) Simplify a4b6c5 b²c3 and give the answer with positive indices.

Q: f(x)=2(x-4)² +2 Parent: Transformations:

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Q: m²+3m+2 m²+5m+6 m²+5m+4 m²+10m+24

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Q: Given a function described as the equation y=4x-4, what is y when x is 1,2,and 3?

A: We will find the values of  y when x is 1,2,and 3 for y=4x-4 in the following step.

Q: Graph the solution of the system of inequalities. -x + y ≤ 3 x + 2y ≤ 10 3x + y ≤ 15 x ≥ 0, y 20 10…

A: First inequality -x+y≤3 Second inequality x+2y≤10

Q: Richard purchases a bag of gummy worms that contains 6 red worms, 4 yellow worms, and 2 green worms.…

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Q: Given that -1 +5i is a complex root of the cubic polynomial x³+ 22x - 52, determine the other two…

A: Solution is here

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple…

A: Given :P= ​$10,000​r= 9​%t= 180 days

Q: Consider the following inequality: Step 1 of 2: Write the solution using interval notation. 2x-23-8

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Q: -10-8-6-4-2 2 4 6 8 10 -10 Chose the values for A, B, and C, for the standard form of the equation…

A: Explanation of the answer is as follows

Q: Let 1 2 40 - 20 1 A = -61 0 – 1 0 and P = 0 1 0 0 0 100 Given that P diagonalizes A, then compute…

A: Here we find the matrix.

Q: Find an equation for the line below. 8 6

A: The given data is: To find the equation of the line.

Q: Multiplying Multi-Digit Decimals what you know about decimals and place value. Fill in each box.…

A: Concept: What is decimal value: A decimal number is made up of two parts: a whole number and a…

Q: Consider the definite integral 300x 1+ ex dx Determine the exact value of the integral (up to 5…

A: Given is the integral ∫010300x1+exdx. In order to solve the given integral first use by parts of…

Q: Determine whether the statement is true or false. To estimate the value of p, the population…

A: Meaning of the notations: p= Population proportion of success n=Population size p^=Point estimate…

Q: 10) Solve the problem. Write out your check and write your answer in complete sentence form…

A: We have to find the speed of boat in still water.

Q: if x 2 4 5 -1 -2 -3 -4 -51 Clear All Draw: Note: Be sure to include closed or open dots, but only…

A: Given data÷

Q: Determine the x-intercept(s) of the graph visually. Then find the x-intercept(s) algebraically to…

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Q: Identifying Rational Numbers Which expressions represent rational numbers? Select all the apply.…

A: The expression are simplify then check rational number Or not

Q: d) Determine the value of x when g(x) = 12 e) Determine g¹(x)

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Q: When a single card is drawn from an ordinary 52 card deck find the probability of getting a black 7

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Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

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Q: @ Find Laplace transform of the function (1) f(t) = (cast + ²) 8 ((-7) 2 following

A: We have to find the Laplace transform of the given function.

Q: The matrix has three distinct real eigenvalues if and only if 4 <k< -1 0 46:3 A = -8 0 0 0

A: Concept: Let A be an n×n matrix and let X∈CnX∈Cn be a nonzero vector for which AX=λX for some scalar…

Q: Consider the following inequality: -3z ≥ 24 Step 1 of 2: Solve the linear inequality for the given…

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Q: A chain saw requires 6 hours of assembly and a wood chipper 2 hours. A maximum of 36 hours of…

A: The simplest use linesr programming..

Q: Identify a23 and a₁1, if possible. 9 5 [814] 6-7 - Select the correct choice below and, if…

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Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: Find the matrix inverse of B = 3 -7 == 1 1 -4 13 1 1 B B-1 B-1 = = 13 -13 [1 4 01 1 1 1 1 1 7 1 -8 4…

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Q: Each of the following four factories produces three products at the daily quantities and unit costs…

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Q: The matrix below is the final matrix form for a system of two linear equations in the variables x₁…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: This graph shows the relationship between a tooth on a circular blade with respect to time in…

A: The given graph shows a periodic function ht for the height of the cutting tooth in inches and time…

Q: How would you do a check to this problem, using the original wording

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Q: (3- Simplify x (x-1) and type in your answer below. 1-22 Do not type any spaces or extra characters.

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Q: An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

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Q: A cube has an edge of 5 feet. The edge is increasing at the rate of 3 feet per minute. Express the…

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Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple…

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Q: A rectangular field is  0.35  kilometers long and  0.3  kilometers wide. What is the area of the…

A: Area of the rectangular field

Q: In this problem you will solve the nonhomogeneous system 0 - 12 + e a fundamental matrix for the…

A: Since this is a multiple question having more than 3 parts, as per policy, we shall solve only the…

Q: Evaluate the expression. 2 tan2120° +3 sin ²150° - cos ²90° 2 tan2120° +3 sin 2150° - cos 290° =…

A: Given :2tan2120°+3sin2150°-cos290°

Q: Q9 Solution of + (x + 2) y² = 0 using separation variable is 1 1 y +2x+c y = 2x- 2 22 +c 1 +2x+c…

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Q: When money is borrowed, a fee is charged for the money borrowed.  This fee is rent paid for the use…

A: From given statement

Q: Use graphical methods to solve the following linear programming problem. Minimize: z= 3x + y subject…

A: Explanation of the answer is as follows

Q: 3z + 4 < 16

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Q: The matrix below is the final matrix form for a system of two linear equations in the variables x₁…

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Q: ind the z-score for the value 89, when the mean is 55 and the standard deviation is 4. A 7-8 25

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Q: 9. Let A= a c+b] -a c-b Under what condition will these eigenvalues be real numbers?

A: Here we have to determine the condition that eigenvalues be real numbers. We have, A=ac+bc-b-a

Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Given, [-4,1] U [5,∞)

Q: How would you solve -3<x2+2x-3<0 graphically

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Q: Finding the Domain and Range of a Graph Determine the Domain and Range for the graph below. Write…

A: Range means we need to see y axis where graph is Varries with respect to Domain. Domain means we…

Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…

A: