Find a unit vector in the direction of the given vector. -4 -32 4 A unit vector in the direction of the given vector is (Type an exact answer, using radicals as needed.)

Q: 1 Find the exponential function f(x) = a* that passes through the point - 3, 216 and has a y- -…

A:

Q: Solve the following system of equations by graphing them. x- 4y = - 16 3x +y = 4

A:

Q: (b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the…

A:

Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Given problem:- Write the first five terms of the geometric sequence whose first term is 2, and…

Q: Solution: Solution: (- * Graph the system and estimate the solution. Then solve for the exact…

A: 3.A. Given equations, 5x-y=-2....(i) x-y=-5.....(ii)

Q: 1. 12x* – 8x 2. 51ax – 68bx + 85cx

A: We can find the factorization is the following steps.

Q: A'x A -7 2 -754 A- 2-16 1- 11 4 6

A:

Q: 6) Determine if the mapping diagram represents a function. domain range 2 1 6. 4 → 11 * 16 No Yes

A:

Q: The number of bacteria in a culture decreases according to a continuous exponential decay model. The…

A:

Q: Use the power rule for logarithms to expand the expression. Write your answer in simplified form.…

A: Given problem:-

Q: At 6am the temperature in tempest Ohio was 31 degrees Fahrenheit. By 4 pm the temperature had risen…

A:

Q: Use the angle in the unit circle to find the exact value of each of the six trigonometric functions.…

A:

Q: Why 9(5-x)+y(5-x) is not a factored form of 45-9x+5y-xy ?

A:

Q: Question 1. Prove the following statements using mathematical induction: • Vn 2 0: 20 + 2' + 22 +…

A:

Q: Information is given about AABC. Determine if the information gives one triangle, two triangles, or…

A:

Q: Bethany needs to borrow $11,000. She can borrow the money at 5.5% simple interest for 6 yr or she…

A:

Q: A survey was done on a college campus to determine how many students owned a cell phone. Of the 140…

A:

Q: A realtor has 20 residentials lisiting under contract, The following table shows the number of days…

A: A realtor has 20 residentials lisiting under contract, The following table shows the number of days…

Q: Solve:  A) log (x + 9) – log x = 1 B) log x + log (x – 3) = 1

A:

Q: Rewrite the logarithm using the natural base. logs (97) = Preview Use a calculator to evaluate the…

A: Given : log8(97).

Q: A radioactive element has a half-life of 136 yea What is its continuous rate of decay? Number %…

A: Decay constant =ln 2t12t12 =136 yearsDecay constant =ln 2136                            =0.51%

Q: Find t for the following terminal points, 0 < t < 27 (a) P(0, 1), t = V2 v2 t (b) P %3D 2 (c) P( –…

A:

Q: Write down the expansion of : 4 1 3x 2 by the binomial theorem.

A:

Q: In how many way, can a man arrange 15 flower types into 5 bouquets 12512254512 O 168168000 O…

A: Solve question

Q: Find the discriminant and determine how many solutions the function has. 42 + 8k +4 = 0 The value of…

A:

Q: A deposit of $4,000 is made in a college savings fund that pays 5.0% interest, compounded…

A: We need to find the amount received after 20 years.

Q: The parent function fx)= JX is canapressed vertically by a factor 1. of 2 and then transferreed 2…

A:

Q: 1) Use the matrix approach to solve the following system of equations x + 2y = 4 За — 7у — —1. Yes,…

A: Firstly , we write the given system of equation in augmented form and after that we apply row…

Q: Solve and check. a) v3x – 5 = 2 b) Vx + 3+4 = 5

A: See the answer below

Q: Bill and Kim Johnson are purchasing a house for $316,000. Their bank requires them to pay a 10% down…

A:

Q: Solution of 2 y" = 1+y'² is

A: The given differential equation is y''=1+y'2 ......................................... (1)

Q: Find the range of the function x + 1 f : R → R,f(x) = 2х — 3

A: the range of a function is defined for y for which  y=f-1(x) Here f(x)=(x+1)/(2x-3) y=f-1(x) =&gt;…

Q: Rewrite the logarithm using the natural base. log3 (47) Preview Use a calculator to evaluate the…

A:

Q: From a barrel of colored marbles, you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple…

A:

Q: If $22,000 is invested for 27 years and earns 11.5% interest, compounded semi-annually, the…

A:

Q: 2. つ

A:

Q: of of and dy 6. For the function f(x.y) = sin ° (6x - 5y), find of df dy II

A: In partial derivative when take the derivative with respect to one variable consider other variables…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A:

Q: Given three data points (1, 6). (3, 28), and (10, 231), it is found that the function y= 2x +3x + 1…

A:

Q: 3 A coin weighs ounces. Karen picked up 6 of these coins. 4 What is the total weight of the coins…

A:

Q: EXERCISES 5: Find equations for the (a) tangent plane and (b) normal line at the point Po on the…

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

Q: Kayla and Whitney both leave the bookstore at the same time, but in opposite directions. If Kayla…

A: Given problem:- Kayla and Whitney both leave the bookstore at the same time, but in opposite…

Q: A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above…

A:

Q: Samantha is having lunch at a sandwich shop. She can choose white bread or pumpernickel bread. Her…

A: Two types of bread white bread and pumpernickel bread.

Q: Find the value of the constant a if V(x, y) = 3ax +3xy satisfies dx %3D + a = (Type an integer or a…

A:

Q: 796 - 283

A:

Q: the

A: We wil find the tax rate.

Q: A company makes three types of hammers-good, better, and best. The cost of making each type of…

A:

Q: Note: Enter DNE for any slope that does not exist. Consider the following two lines: Line 1: x = 7…

A: Find your answer below

Q: Solve the system using the substitution method. X- 3y = 11 2y- 8x = - 22 imind

A: