Four times a certain number plus one-third is equalled to three times the number plus twenty. Find the numbe

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

A:

Q: Use the correct compound interest formula: nt r A = P(1 + )"t n A = Pert Find the accumulated value…

A:

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: 4 Find the root of function f(x)=√x+1² = x² +1 by applying Regula Falsi Method 3 times. Start with a…

A:

Q: Use synthetic division to evaluate f(x)=x^3-3x+12 when x=-5

A:

Q: Solve the system of two equations in two variables. 1) 9x + 4y = -63 3x - 2y = -21

A:

Q: At noon, to begin a study, a petri dish had 3000 bacteria cells. The number of cells in the petri…

A: Exponential functions can be given as follows:where,P = Initial Number = 3000 bacteria cellsr =…

Q: The set B = {3 + 2x², 6 − 2x + 4x², 4x − 13 – 10x²} is a basis for P₂. Find the coordinates of p(x)…

A: The objective of the question is to find the coordinates of the polynomial p(x) = 18x - 54 - 40x^2…

Q: Solve the following quadratic systems: y = x2- 5x + 7 and y = 2x + 1 y = 2x2- x - 2 and y =…

A:

Q: 6. 2x²-32 difference of Squares with GCF

A:

Q: A principal amount of $830 is placed in a savings account with an annual interest rate of 3.72%…

A: The objective of this question is to calculate the total account balance after 23 years when a…

Q: Condense the log expression fully. Write the logarithmic expression as a single logarithm with…

A: Let assume,.We know that,

Q: A 1. X Y 5. Y X B 1. Y+Z 2. 3+ Y 3. (2nd) - X 6. (1st) + (4th) 7.(6th) + (5th) 2. (1st)/X 4. (3rd)/X…

A: Step 1: x × y = xyStep 2: 3 + yStep 3: (2nd) - x = (3 + y) - x = 3 +y - xStep 4: (3rd ) / x = (3 + y…

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN ANSWER FOR BETTER…

A: f(x)=

Q: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is…

A: Continuous growth rate of 5 percent per year,Population in the year 2000 was 17800Let the growth…

Q: is a basis of the space of upper-triangular 2 x 2 matrices. The set Find the coordinates of M = [M]B…

A:

Q: Give a 3 x 3 elementary matrix E which will carry out the row operation (-6) R₂→ R₂. E= Test that E…

A:

Q: What is the probability of being dealt a black ace when using a standard deck of 52​ cards?

A: The objective of this question is to calculate the probability of drawing a black ace from a…

Q: Solve the inequality algebraically. 2 x² (2+x)(x+6) (x+7)(x-1) 20 List the intervals and sign in…

A: The given inequality is

Q: Let A be the matrix below and define a transformation T:R³ R³ by T(U)=AU. For the vector B below,…

A: Linear Transformation.

Q: Use the graph shown to find the following. (a) The domain and range of the function (b) The…

A: a) domain:domain is the set of values of x for which the function is defined.  Range: range is the…

Q: = Sketch the region D = {(x, y) | 0 < x < 1, 0 < y < a2} and then evaluate the integral SSD y√x² -…

A:

Q: Find the sum: 8+4+0+...+ −4 Answer:

A:

Q: What is the correct way to notate the blue region indicated by this Venn Diagram? U A B Enter a, b,…

A: Venn diagram give, tell about the shaded region.

Q: Find the domain of the following rational function. 3x(x-3) 6x²-41x-7 F(x)= Select the correct…

A:

Q: A man covered a distance of 200 kms partly by train and partly by bus. Had he covered the entire…

A: Let's denote the distance covered by the man by train as Dt​ and the distance covered by bus as Db​.…

Q: 32 cars are in a race. In how many different ways can cars finish in order in the top 2 positions?

A: The objective of the question is to find out the number of different ways in which cars can finish…

Q: Current Attempt in Progress Write an expression representing the quantity described: The investment…

A: The investment value is  drops by an eighth  times in a row.The aim is to find the expression…

Q: Determine if the graph of the exponential function represents Growth or Decay. -10 -5 5 10x…

A: An exponential function is a nonlinear function of the form y = abx, where a ≠ 0, b ≠ 1, and b &gt;…

Q: The function A(t) = 7e-0.4t can be used to determine the milligrams A(t) of a certain drug in a…

A:

Q: A sphere with a surface area of 48π cm2 is dilated with a scale factor of k = 3/4. What is the new…

A: The objective of this question is to find the new surface area of a sphere after it has been dilated…

Q: (i) Using the facts that √ and 1/x are, respectively, increasing and decreasing functions of a real…

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: This table details the average time taken to complete the welding process for different vehicles.…

A:

Q: Solve the system by the method of your choice. If the system does not have a unique solution, then…

A: GivenSubstitute the value of equation (1) in equation (2)which is false

Q: K Let f(x)=x² + 5x and g(x) = 9-x. (9) (1) (8). Find (x) and (x) = (Simplify your answer.)

A:

Q: Suppose a random sample of n = 22 measurements is selected from a population with mean μ = 53 and…

A: A random sample of n = 22 measurements is selected from a population with mean μ = 53 and standard…

Q: Current Attempt in Progress Solve 2(1.33) = 3.75 based on the table below, which gives values of the…

A: Given,

Q: Solve (3^(3x - 1) = 10^x) algebraically.

A: The given equation is

Q: 2. 3x²-2x-8 Factor by grouping

A: We have given a polynomial in one variable: 3x2-2x-8 To find the factors by grouping method, first…

Q: Solve the inequality algebraically. (x-7)(x+9) X so The solution is (Simplify your answer. Type your…

A:

Q: If determine the values of # and y for which A² = A. H= y = Check Answer

A:

Q: solve log (x+5) - log (x + 1) = log 3 + log x algebraically

A: The objective of the question is to solve the given logarithmic equation for the variable x.

Q: Find all the zeros of the following function. f(x)=x^4+3x^2-4

A:

Q: First term is Common difference is

A: Given that the arithmetic sequence 9th terms is -38 and 17th terms is -62 we have to find first…

Q: It turns out that there are none zero integer (whole numbers with no decimal points) solutions…

A: This is question of algebra Here Right angle triangle is given and use Pythagorean theorem.We have…

Q: (Delta*pi_{1})/(Delta*Q_{1}) = 0 -> 340 - 4Q_{1} - 2Q_{2} = 0 or 4Q_{1} = 340 - 2Q_{2}. What is…

A: My pleasure, I’ve been growing my expertise in solving system of linear equations problems. Let's…

Q: The height y (in feet) of a punted football is approximated by where x is the horizontal distance…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Find the value of the annuity and the interest. Round to the nearest dollar. Periodic Deposit: $100…

A:

Q: convert 6.66666667 to mixed number

A: Given that the number6.66666667 we have to find mixed number

Q: -2 -1 and W₂ = 1 For each of the following vectors, determine whether it is orthogonal to W₁ and/or…

A: