R Sphere

Q: . If S varies inversely as the square root of T andS = 4 when T = 4, what is S when T = 16?

A: Given, If S varies inversely as the square root of T andS = 4 when T = 4

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=5−16xf(x)=5-16x, and the line perp...

A:

Q: Find the average rate of change from 2 to 3 for each function f. Be sure to simplify. f(x) = 3x - 4x...

A: Given: fx=3x-4x2 The value of x changes from 2 to 3 . 

Q: Solutions of a squared equation that are not solutions of the original equation are called solutions...

A: A solution to the squared equation that is not a solution to the original equation is called an extr...

Q: m 6. V2 = 2- a

A: Law of exponent states that: amn=amn Now we have to simplify 253. Simplifying 253. 253=2513=253

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given: The equation y=sin12x-π3.

Q: Algebra Question

A: 8inch

Q: 4. The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find t...

A: Givena)100201010013 b)101201110000 c)100201010003 To find x,y and z from above augumented matrices.

Q: 3. Write each of the following in completely factored form. These will involve slightly more difficu...

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Q: Solve

A: The given parabola opens ups and it's a vertical parabola. Therefore, the general form of the parabo...

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution us...

A: Consider the given equation. x2- 4x+2=0 The quadratic formula is defined as. x=-b±b2-4ac2a

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are n...

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If repetit...

Q: Find the indicated root, or state that the expression is not a real number: V81 b. - V81 V-81 d. V-3...

A: (a) 814=344=344=3

Q: Find the smallest positive integer j for which the statement is true. Use the extended principle of ...

A: Mathematical induction states that that if a statement is true for an integer n=k, then the statemen...

Q: The half-life of radium-226 is 1590 years. Suppose we start with a sample of radium-226 whose mass i...

A: Given: The half life of radium is 1590 years. Mass of the sample= 50 mg  

Q: Use Cramer's rule to solve the system: S5x + 4y = 12 ( 3х - бу — 24.

A: To use Cramer's rule to solve the system:5x+4y=123x-6y=24

Q: snip

A: To find the conjugate transpose A* making the transpose of a matrix and then taking the complex conj...

Q: Find all real solutions of the equation by factoring. 6x(x - 1) = 21 - x

A: We have to find all real solutions of the equation by factorizing: 6xx-1=21-x Solving given equation...

Q: simplify each expression. Express final results without using zero or negative integers as exponents...

A: To simplify the expression: (x2y-6)-1 Solution: (x2y-6)-1 On simplifying further we get: (x2y-6)-1=(...

Q: change each radical to simplest radical form. 3/∛3

A: We have to change the given radical in simplest radical form: 333 We know the exponents rule, am=a1m...

Q: solve each quadratic equation using the method that seems most appropriate to you. 2x2 - 3x + 4 = 0

A: Given: 2x2-3x+4=0 To Find: To solve the given equation

Q: find each of the products and express the answers in the standard form of a complex number. (5 - 3i ...

A: The value of the given expression can be found by the square formula of difference. Apply the formu...

Q: Solve

A: Here we will use the formulas of  Volume of cylinder = \frac{\pi }{4}π​/4 × (Diameter)²×height Volum...

Q: A line has the general linear equation 3x – 5y = 15. (a) Find the x- and y-intercepts of the graph o...

A: Given equation is 3x-5y=15. (a) To find the x-intercept and y-intercept of the graph of the line. So...

Q: Factor the expression completely. 3x2 (8x - 3) + x3 . 8

A: To factor the expression: 3x28x-3+x3·8 3x28x-3+x3·8=3x28x+3x2-3+8x3                               =2...

Q: Find distance

A:

Q: 51-52 - Families of Polar Equations These exercises involve families of polar equations. -51. Graph ...

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Q: a. Graph y = x3 + 11x2 - 16x + 40 using thewindow [ -10, 10] by [0, 100] .b. Is the graph complete?c...

A: The domain of the function is defined by the numbers that can be entered into the function such that...

Q: solve each equation. Don’t forget to check each of your potential solutions. √(3y + 5) - 2 = 0

A: Solve the equation 3y+5-2=0.

Q: 10. Use Simplex method to find the inverse of the following matrices: 4 1 2 (ii) 0 1 0 8 4 5

A: 412010845

Q: In Exercises 7-24, solve each compound inequality. Use graphs to show the solution set to each of th...

A: 7. x>3 and x>68. x>2 and x>49. x≤5 and x≤1 Note: we are answered with first three parts,...

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the identity: cot(-x)cos(-x)+sin(-x)=-cscx Solution: We know, cot(-x)=-cotx    ...(1)cos(-...

Q: 3/2) Let a kind of bacteria grow in such a way that at time t sec. there are t bacteria. Find the ra...

A: Take the derivative of the given function of growth of bacteria and then put the time t (first conve...

Q: Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Sta...

A: To graph: The function f(x)=x-13+2 using the techniques of shifting, compressing, stretching, and/or...

Q: Find the equation of the straight line perpendicular to the line 5x- 2y=7 and passing through point ...

A: Given, A line perpendicular to 5x-2y = 7   and passing through the point of intersection of the line...

Q: Find the decimal representation for each of the numbers in the given question. 19/11.

A: We have to find the decimal representation of 19/11.

Q: write a multiplicative comparison work problem for 7 x 4, also draw a strip diagram and explain how ...

A: Our objective is to write a multiplicative comparison work problem for 7 x 4, also draw a strip diag...

Q: solve each of the quadratic equations by factoring and applying the property, ab = 0 if and only if ...

A: We have to solve the quadratic equation: 6y2-24y=0 Taking 6y outside, we get 6y2-24y=06yy-4=0 We hav...

Q: Algebra Question

A: We have to find the angle of y

Q: Longevity of halibut In fishery science, a cohort is the col- lection of fish that results from one ...

A: Checking the original number after 10 years by substituting t=10 in the formula given,  To find the ...

Q: Line d passes through points (10,10) and (3,2) . Line e passes through points (10,6) and (2,13) . Ar...

A:

Q: 21-24 - Elementary Row Operations Perform the indicated elementary row operation. -1 1 2 -5 2 -3 2 3...

A: 21                         .  A = -112031141-2-1-1   -112004741-2-1-1      R2 = R2 + 3R1-112004740-1...

Q: solve each inequality. 2x2 - 18 ≥ 0

A: Given inequality is: 2x2-18≥0 We have to solve this inequality for x.

Q: Find all real solutions of the equation. 3x3 - 6x2 = 0

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The sol...

Q: Let a kind of bacteria grow in such a way that at time t sec. there are t" Find the rate of growth a...

A:

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.5, 25, 125, 625....

A: First calculate the common ratio of the series by dividing the next term by the previous term : r=an...

Q: Solve

A: Given that: f(1)=6f(n)=f(n-1)-3;n≥2 Therefore, f(2)=f(1)-3       =6-3       =3f(3)=f(2)-3       =3-3...

Q: (a) How do Gaussian elimination and Gauss-Jordan elimination differ?(b) Use Gauss-Jordan elimination...

A: (a) Gaussian Elimination helps to put a matrix in row echelon form, while Gauss-Jordan Elimination p...

Q: Algebra Question

A: In the question it is asked to calculate the value of x for the triangles given in figure.

Q: In Exercises 5-8, use the Leading Coefficient Test to determine the end behavior of the graph of the...

A: Consider the polynomial: 5.  fx=−x3+x2+2xLeading Coefficient = −1 NegativeDegree = 3 Odd If the grap...