Simplify the expression using rules of exponents -3 S -4 (3x *y ² ) ( 24x³y²") ³

Q: Sid needs 0.5 meters of canvas material to make a carry-all bag for his wheelchair. If canvas is…

A:

Q: The population P in 1991 for a state is given along with R, its annual percentage rate of continuous…

A: P = 36 million , r = 1.1%= 0.011

Q: Practice: Expand the following Logarithms 1) Expand log (²) 2) Expand log (√x) 3) Expand In V√x² 4)…

A:

Q: Use Cramer's Rule to solve this system of linear equations: x+y+z=7 x=y+z=0 -3x + 4y + z = 2

A:

Q: Find the values of the six trigonometric functions for angle θ.

A:

Q: Find an equation for the hyperbola described. Graph the equation. Center at (0,0); focus at…

A:

Q: 5x + y = 2z 5x + z -3 -4

A:

Q: The exponential functions f(x) and h(x) are given by the tables shown below. Use the data values in…

A:

Q: Let M be a hermitian matrix. Fill in its missing entries. M 5 -9 + 5i 7 -4+6i -7-7i 7

A: The given matrix is;  [5   -9+5i              7        -4+6i   -7-7i  7] Find the missing tems.

Q: -6 -5 -4 -3 -2 -1 O 5 3 ON 1 1 Է: رما -4- in 1-6+ 1 4 5 6 4 The graph above is a transformation of…

A: We have, Center (h, k) = (3, -2) Point on the parabola: (2, -3)

Q: If log₁ log, a = log, b= log₁ c = x express log, d in terms of x.

A:

Q: 2. You have decided you will spend $3400 on housing every month. Your monthly income is $6540. What…

A:

Q: f Type an equation for the line described. Type your answer in the form g(x) = mx + b. If a value is…

A:

Q: Part II: Writing & Solving Equations 1. Sofia paid a total of $365 for her accommodation in Bali,…

A:

Q: Use a numerical example to explain the relationship between exponents and logarithm

A:

Q: Write the vertex form of a parabola that satisfies the conditions given. Then write the equation in…

A: The vertex form of a parabola is given by y=a(x-h)2+k where (h,k) is vertex. This vertex form is the…

Q: 1. If f(x) = x/(x − 1) and g(x) = 3/(x² − 1). Find the value of x for which (f + g)(x) = 1

A: Solving the problem

Q: Question 9 of 42 What is the product of the rational expressions below? 1.9 OA B. 72-7 O D. 722-7

A: We need to find the product of given rational expressions. 7xx+2.x-1x-2

Q: (ii) Use Cramer's rule to solve for %2 in the system of equations Hz = c where: -12 (3) C = Finally,…

A:

Q: Question: Using The Digits 1-6, At Most One Time Each, Crrate An Exponential Function Of Base E…

A: The exponential function fx=eax-b

Q: 1. Find the surface area of the sphere below to the nearest tenth of a square foot. A. 102.1 ft² B.…

A: To find the surface area of the following sphere to nearest tenth  of a square foot.

Q: building in a city has a rectangular base. The length of the base measures 70 feet less than twice…

A:

Q: Use the definition of Ax to write the vector equation as a matrix equation. X1 7 2 - 8 -5 + X2 - 3 9…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Decide which of the two given prices is the better deal and explain why. You can buy shampoo in a…

A:

Q: Question 9 What is the tenth term of the given geometric sequence: -1, 4, -16, 64, ... ? A…

A: nth term of geometric sequence is given as an = arn-1 where a is the first term r is the common…

Q: Given, Ayt=yt - Yt-1, calculate a. A²yt = AAyt b. A²yt+1 A²yt+2 C.

A: Given, , to calculate the following:Note: Since the student has posted many sub-parts of the…

Q: A ball is thrown in the air. The path of the ball is represented by the equation het St. Graph the…

A: we have given h(t) =-t2 +8tlets plot the graph of above function

Q: The weather forecast for today shows that there is a 35% chance that it will rain and a 10% chance…

A: The probability that the daily high temperature will be between 65°F and 70°F is obtained below as…

Q: 2. Andre has already saved 3/7 the cost of a of amount new car and he has calculated that he will be…

A:

Q: To go on a summer trip, Shen borrows $600. He makes no payments until the end of 3 year interest at…

A:

Q: ve the equation: log30 (X2-X)=1

A: log30x2-x=1

Q: Find the sum of the infinite geometric series. 1+1/4+1/16+1/64+1/256+1/1024+1/4096

A: We know that the sum of the geometry series is  a/(1-r)

Q: The graph of f(x) = has been transformed to create the graph of g(x) = b -10 -8 -6 -4 -2 What is the…

A:

Q: 5. Given the functions f(x) = cos x and g(x) = 2x + 5. Determine the value of g(f(π))

A:

Q: In a class of students, the following data table summarizes how many students play an instrument or…

A:

Q: < The Family Arts Center charges $23 for adults, $16 for senior citizens, and $5 for children under…

A: We have to find the number of students attended that show.

Q: Ninety-eight people who grew up in either City A or City B were surveyed to determine whether they…

A:

Q: Solve the following equation: 2 -3x - 24x-49 = 0 answer rounded to the nearest hundred

A:

Q: Steps: 1) Set up an inequality showing argument is greater than zero. 2) Solve for x. 3) Write the…

A:

Q: Find a value for the constant a so that f(x) = ax² models the data. If you are uncertain about your…

A: given f(x)=ax2

Q: 10) Peter borrows $6250 at a rate of 10% compounded semiannually. Find how much Peter owes at the…

A: Peter borrows $6250 at a rate of 10% compounded semi-annually. To find how much Peter owes at the…

Q: Identify at least two hidden assumptions in the following argument. I recommend giving to the…

A: The statement says that "I recommend giving to charity A" and the reason it gives is "charity A…

Q: Find the slope and the y-intercept of the graph of the linear equation. Then write the equation of…

A:

Q: The quadratic equation ax² +bx+c=0 has roots tan a and tan ß. (a) Show that tan(a+ß) b c-a

A: Given: Quadratic equation ax2+bx+c=0 has roots tanα and tanβ. We are required to: Prove…

Q: What is the sum of the geometric series 0.14 + 0.014 + 0.0014...?

A: 0.14+0.014+0.0014....

Q: One hundred people are given a survey about healthy New Year's Resolutions for 2020. They are asked…

A:

Q: Write the vertex form of a parabola that satisfies the following conditions. Assume a = ± 1. Opens…

A: We have, a = ± 1 Opens upward vertex (3,4)

Q: In a high school with 1,500 students, which would be the best way to select a random sample of…

A: We have to collect the data about teenagers' preferences in music.

Q: 2. A hollow glass sphere has a radius of 6 inches. If 25% of the sphere is filled with water, which…

A: A hollow glass sphere has a radius of 6 inches. If 25% of the sphere is filled with water.

Q: Question 2 The quadratic equation ax² +bx+c=0 has roots tan a and tan ß.

A: