In Utah, it is illegal for a person to drive if their blood alcohol level (BAC) is higher than 0.05. For a typical male, their liver can decrease BAC by 0.015 per hour. If a typical male has a BAC of 0.08 at 6pm and consumes no more alcohol, what is his predicted BAC at 7:30pm? When do you predict a typical male in part a. will have a BAC of 0? If Peter had a BAC of 0.08 at 7pm, do you think he will be legal to drive at exactly 9:00pm? Explain your answer in 1-2 sentences

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away ...

A: Given that Here AC=25 ft is the length of ladder. y is length of wall and x is the length of base B...

Q: Let Mı5(IR) = {A/A and 15th order square matrix with real elements} and consider the linear operator...

A:

Q: (*- z) if 0 <I < 27, f(x) = %3D f(r + 27) otherwise. ) Find its Fourier series.

A:

Q: Write (1-az2-bz) as a product of linear factors

A: To write 1-az2-bz  as a product of linear factors, we first find the roots of 1-az2 -bz = 0 i.e., -a...

Q: Let a relatively prime positive integers. If there exist integers s and t with as + ht t - 11 then

A: if gcd (a,b) =d then there exists integers m and n such that d = a m + b  n  and d is the smallest s...

Q: 3. One solution contains 34% alcohol, and another solution contains 80% alcohol. How many liters of ...

A:

Q: Let R be the region in the plane enclosed by y = x, y = 0, and x = 1. Find the volume of the solid f...

A: Solution:-

Q: (10) (2 1 1) %3D If A = 3 2 3, find A-1 by Gauss-Jordan method.

A: To find- If A = 211323149, find A-1 by Gauss-Jordan method.

Q: 1. Solve the initial value problem for the linear system of first-order ODES for x(t) and y(t): x' +...

A:

Q: Let C denote the unit circle centered at the origin in C. Then r 1 |1+z +z** dz , 2ni z²l dz , where...

A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get ...

Q: Multiple Choice rezic ez)

A:

Q: Use a software program or a graphing utility with matrix capabilities to find |A|, |A'I, |A²1, 12A|,...

A:

Q: 1. Solve for the determinants of matrix A i19769 13i -2 A = -13 < 180° (1+ 21)? 3 +i In(3 + 7i) el 6...

A: First we have to find all the values of the elements of the given matrix. We know that i=-1Then, i2=...

Q: Find the simple interest on a loan of 12,500 that is borrowed at 9% for 7 months.How much would it c...

A: This question related to simple interest and solution is given below.

Q: d. 39)87 652

A: Long division method Consider the first digit from the left according to the divisor, check the num...

Q: Determine the size of the matrix. 2 1 -4 -1 5.

A: Solution 

Q: 7. For A = show that the mapping ada : M2 (R) → M2 (R) defined by ad A (B) AB – BÃ is a linear trans...

A: First we will find the value of AB-BA 

Q: Consider the linear transformation T : IR4 → IR3 given by: T (x, y, z, w) = (x + 8 · y, 5 · x + 0 ·...

A:

Q: 31. In an oblique spherical triangle ABC, a = 30°, b = 15°, and c = 37°, find A. A) 37.2° в) 33.4° C...

A:

Q: Given the following balance table. Determine the decay rate. Input just the number without the perce...

A:

Q: f (t) = u(t) + (1 – t) · u(t – 1) +(t – 2) · u(t – 2) -

A:

Q: Required information NOTE This is a mut-part question Once an answer is submtted you will be unable ...

A:

Q: is years product 450.Hbw0ld bre A man older tha his wife th8 is age th of

A: Introduction: The age problem is a real-life application of mathematics. Based on the given informat...

Q: 4. Using the DIFFERENTIAL EQUATION METHODS, solve for the particular solution of the differential eq...

A: Given differential equation is y'''+3y''+30y−64y=0....1 and y0=0, y'0=−1, y'''0=33 We have to find t...

Q: Prove that there do not exist three consecutive integer values of nn for which 43n+1443n+14 is a per...

A:

Q: Find these terms of the sequence (a where an=2-3)"5"

A:

Q: 6. Homework. Find the inverse of 356 (mod 678119). Hint: Solve for z in 356r 1 (mod 678119), where r...

A:

Q: Rewrite the following linear programming problem using slack variables, and determine the initial si...

A: The given linear programming problem is                                            Maximize P=3x1+5x...

Q: 1 sin ax = S(D) S(-D) sin ax f(ai)f (– ai) 40. f(ai) f(-ai) # 0.

A:

Q: Directions: Write the letter of the correct answer. 1. What ratio is equivalent to 15:45? А. 3:7 В. ...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: Given the the parametric curve x(t) = t°e5t ly(t) = cos(13t) dy (a) Find an expression for dy (b) Fi...

A:

Q: t(n) = 7t(n-1) - 6 What is the smaller root (the root with smaller value) of the characteristic po...

A:

Q: In class we examined a model of Bertrand competition in which all consumers had the same RP, i.e. $3...

A:

Q: Prove that if {u, v} is linearly independent, then so too is {u+ v, u - v}.

A:

Q: If f is a function defined from R to R, is given by f(x) = 5x - 3 then f -(x) is given by %3D -- 20 ...

A:

Q: lve each equation for the other variable. (Hint: This will involve rewriting each equation in zarith...

A: We will use properties of log here.

Q: 11. 4x – 7x, = b, X1 + 2x2 = b; (i) bị = 0, bz =1 (iii) b = -1, by = 3 (ii) bị = -4, bz = 6 (iv) bị ...

A:

Q: Majority Criterion and Borda Method A group of teachers are planning a conference. They are members ...

A: There are a  total of 192 votes and for a majority, it requires 82 or more (more than half of 192) v...

Q: Cir cubafel 3. Put the following in order from least to greatest. 2.49, 2 4/100, 2.07, 2½, 2 1/3 or ...

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k Σ 2ln k k=2 ...

A:

Q: Theorem. Let M, N, and P be R-modules over a commutative ring 3.2 R. Then (i) MORN = NORM as R-modul...

A: note the theorem and I have used the notation of a function as an machine which operates  on an orde...

Q: A stall owner sells two types of durians: ordinary durian and premium durian, priced at $20/kg and $...

A:

Q: the transformation described geometrically above (reflecting across y = -2x and stretching by a fact...

A: Please check the solution in next step. I have given graphical representation also

Q: 1. Solve the initial value problem for the linear system of first-order ODES for x(t) and y(t): Sa' ...

A:

Q: Let (X,dX) and (Y,dY) be metric spaces. If the sequence (fn) of functions from X to Y converges unif...

A:

Q: 2 Find an orthogonal basis for the space spanned by 4 and

A:

Q: Required informetion NOTE This a a mupart question Cnce an answer s suomited you wbe unabie to retun...

A:

Q: Let T : R? + R? be the linear transformation which reflects across the line y = -2x and then -3х — 4...

A:

Q: 2 Find the equation of the line L passing through P(1,1,1), intersecting the line +t0 and perpendicu...

A: We have to find the equation of line which passing through P(1,1,1), intersecting the line x=1+2t, y...

Q: Problem 1: Direct Methods of Solution of Linear Systems of Equations Consider the following linear s...

A: