Consider the following and determine in each case whether the statement is a paradox or fallacy. Justify your reasoning.

Q: Find the basis of the subspace of R4 that consists of all vectors perpendicular to both:

A: We want to find the basis of the subspace of R4 that consists of all vectors perpendicular to both

Q: 2 2x + 13x - 12 3 5x + 20x

A: Find the factors of the denominator.

Q: You need a 85% alcohol solution. On hand, you have a 110 mL of a 65% alcohol mixture. You also have…

A:

Q: Sarah lees $22.40 for text messaging in the month of March. If her text messaging plan costs $14 for…

A: To find out the number of text messages that she sent that month.

Q: वर १ b. =19

A: a=09b=110

Q: Look at the number line showing a solution to an absolute-value inequality. 主 十 0 1 2 3 4 5 6 7 8 9…

A: The detailed analysis is given

Q: How much should you invest now at 5 1/4% simple annual interest in order to earn $100 interest in 9…

A: Topic- Simple interest NOTE:AS per bartleby guidelines, we supposed to answer only first question,…

Q: e decibel level for the intensity of a sound is a logarithmic scale defined by D = 10 log10 (I) +…

A: Topic:- algebra

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: When two lines are parallel to each other than their slopes are equal.  If a equation passes through…

Q: Exercise 1: a) 25 b) 623 1 3 X = + x 10 Solve the equation for x Solve the inequality for x. Write…

A: Solve for the x

Q: Find the orthogonal projection of v = -11 -3 13 onto the subspace V of R³ spanned by 03 4 and 0

A:

Q: Given the following 3 by 3 simultaneous system of equations: x+y+2z = 3 - 2x - 2y - 4z = -6 2x+2y +…

A:

Q: Solve the system of equations. X 1 X 2 + 3x3 = -8 2x1 + x3 = 0 X 1 + 5x 2 + x3 = 40 (0, -8,-8) (8,…

A:

Q: Please solve it step by step by simplification and factoring.

A:

Q: Niccis sister is seven years less than twice Niccis age a a the sum of niccis age and her sister’s…

A:

Q: On a number line, the distance of a number x from -3 is 5 units. Which equation and which number…

A: Basic inequality problem

Q: Alo and Katie have a new grandson. How much money should they invest now so that he will have…

A: We need to find out the principal amount that they should invest to get the $41000 amount after 18…

Q: store owner has a total value of 56 bills in 20 dollars and 50 dollar denominations in his safety…

A:

Q: Chayla and Lena pool in their resources to buy several lottery tickets. They win $320,000! They…

A: Let Chayla share=$CLet Lena share =$L

Q: A quadratic function is a function of the form y-ax+bx+c where a, b, and care constants. Given any 3…

A: A quadratic function is a function of the form y=ax2+bx+c, where, a, b, and c are constants. Given…

Q: A fruit grower can use two types of fertilizer in her orange grove, brand A or brand B. The amounts…

A:

Q: Write the decimal as a fraction. 0.83 = F 10 x 0.83 = F x 10 8.33= [?]F

A: Multiply by 10 on both side,

Q: Determine the values of a for which the following system of linear equations has no solutions, a…

A: We have to find values of 'a' for the given sustem of equation for the above mentioned conditions.

Q: The sum of three consecutive even integers is 426. Find the three integers.

A: The sum of three consecutive even integers is 426. Find the three integers

Q: For a given week, Jenny's Coffee House has available 700 ounces of A grade coffee and 600 ounces of…

A: Given that   Availability of coffee: 700 ounces of A-grade coffee and 600 ounces of B-grade coffee.…

Q: Use the graph to determine the following. a. the function's domain b. the function's range c. the…

A:

Q: Victor has certain number of eggs in his basket. He sold half of those eggs plus half of an egg.…

A: Victor has certain number of eggs in his basket. He sold half of those eggs plus half of an egg. He…

Q: If k is a real number, then the vectors (1, k), (k, k + 20) are linearly independent precisely when…

A: If k is a real number, then the vectors (1, k), (k, k + 20) are linearly independent. Then find a…

Q: Old MacDonald has 100 chickens and goats in the barnyard. Altogether, there are 266 feet. How many…

A:

Q: Solve by Substitution: 2y=6x+10  3x-y=5

A: see below the answer and calculation

Q: A system of equations is given in which each question is written in slope-intercept form. Determine…

A:

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 1 -5 3 4 0 0-5 -4…

A: To determine whether the matrix is in echelon form, reduced echelon form, or…

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = square root of…

A:

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined.…

A:

Q: Determine and y such that 0 [xy 139+223-412,3] = 2x y -5

A: To determine the values of x and y.

Q: Factorize : a) 10x2 - 3x - 4 = 0 b) 10x2 - 3x - 4

A: Given query is to factor the expression.

Q: For ​f(x)=2x−5 and ​g(x)=x2−2​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

A:

Q: 10. At noon, the temperature in Iqaluit was -5°C. At midnight, it was -15°C. What was the average…

A: Topic:- algebra

Q: Madelyn Logan is an office furniture dealer who earns a $21,000 base salary. She also earns a 5%…

A: We need to find out that how much she should sell in order to earn $48000.

Q: If the 45 degree offset distance at point B is 46 inches, the "travel" distance (center to center)…

A:

Q: Question 3 In (x+9) + In 6 = 6. The solution is: O A. 8 OB. e6+54 6 OC. e6-54 6 O D.-8

A: lnx+9+ln6=6

Q: Refer to the figure. Find the indicated values to the nearest hundredth of a centimeter or hundredth…

A: We use :- Cosine law and sine law of triangle to find out missing sides lengths and angles to…

Q: Specify the number of ways to perform the task described. Give your answers using P(n,r) or C(n,r)…

A:

Q: Write an absolute value inequality equation

A: see below the answer and explanation

Q: Evaluate the following expression, accurate to 2 significant digits. Show at least two intermediate…

A: This is a Mathematical operations problem

Q: √3+√75= √3+√√25.3=

A: Solve the given

Q: x=27 X=?

A: Given, 3X = 27

Q: Use the negative exponent rules to simplify. Write the answer with only positive exponents. 2d -5 2d…

A: Given Expression:- -2dc2-5

Q: Find the transpose of the matrix. 84 -4 0 -7 7 4 8 0-4 7 -7 4 0 7 -4 -7 8 8 -4 -7 [849] 0 7 -7 7 H…

A:

Q: 82 Using the change-of-base formula, you can evaluate log by performin OA. In OB. 82 6 log 82 6 OC.…

A: Given:- log682