A high-protein diet supplement that costs R6.75 per kg is mixed with a vitamin supplement that costs R3.25 per kg. How many kilograms of each should be used to make 5 kg of a mixture that costs R4.65 per kg?

Q: IfT: R? → R³ is a linear transformation such that 13 16 T 26 and T then the standard matrix of T is ...

A:

Q: The terminal side of an angle in standard position lies in quadrant III of the coordinate grid. This...

A: Given             Terminal side of an angle lies in III rd  quadrant .  

Q: {x|x is a natural number and 20<x<24}

A: x | x is a natural number and 20&lt;x&lt;24

Q: nus: 12. David competed in a 65-km dirt bike race. For the second half of the race he rode his bIke ...

A:

Q: For each table, determine whether it shows a direct variation. If it does, write its direct variatio...

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Q: 1. Circle which of the following are isometric transformations? (there may be more than 1 answer) Pr...

A: Isometric  transformations are consisted of rotation, reflection and translation. It is a shape pres...

Q: A triangular parcel of land with vertices at R, S and T was to be enclosed by a fence, but it was  d...

A:

Q: Determine which property of determinants the equation illustrates. 2 5 2 2 -6 3 -7 -6 -7 3 1 4 1 1 1...

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Q: Prove or disprove. a) det(A + B) = det(4) + det(B) b) det(ABA') = det B %3D D) 12 p2

A:  

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: 35-36. Find the solution set for the constraints in the figure below. 3x + 2y s5; 2x + 5y s6; 3x -y ...

A: x≥0, y≥03x+2y≤5x=0, y=52y=0, x=53(The highest point on y axis)Hence,3x+2y≤5 covers region combined o...

Q: Find the general solution of the following differential equation: d?x dx +8– + 9x = 0 dr? dt

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Q: a picture and surrounding border are fitted within a wooden frame as shown. The picture measures 8.5...

A: It is given that: The picture measures 8.5 inches by 11 inches. The base and height of the border an...

Q: The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions. 3...

A:

Q: The scatter plot gives the average atmospheric concentration of a gas and the average global tempera...

A: (a) Here, the lines is passing through two points (329,57.04) &amp; (383,57.94). So, the equation of...

Q: Evaluate In (3 + 4j) O 1.95 + 0.112 j O 1.46 + 0.102j O 1.61 + 0.927 j

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Q: phune for Ri bought At what porice he thuuld shell so as te gain keban a mobile phone fan A 1200 207...

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Q: Find all minors and cofactors of the matrix. -3 1 2 5 6 4 1 -3 2 (a) Find all minors of the matrix. ...

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Q: The scatter plot gives the average atmospheric concentration of a gas and the average global tempera...

A: topic- point slope form of equation

Q: Suppose that y varies directly with x, and y= 16 when x=-2.

A: Given that y varies directly with x.

Q: The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged...

A:

Q: A wheelchair ramp is 9 feet long and sits 214 feet high. How long will a similar ramp be if it is 1....

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Q: Use Laplace transforms to solve the differential equation de +4-+ 40 = sin (8t) dt d? given that 0 a...

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Q: nol 2eoior3 Find all values of x that make the rational expression undefined. If more than one value...

A: Given : Q19 to Q22 are some functions in terms of x. To find : Values of x where functions are undef...

Q: The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first c...

A: topic - basic math

Q: Find the absolute maximum and minimum for the given graph. Give your answer as an ordered pair. 5 -4...

A: Topic = Functions

Q: The Bluestripe Snapper is an invasive species in the Hawaiian Islands. A certain population of Blues...

A: topic exponential calculation 

Q: If (x + yi)( 2 - 4i) = 14 - 8i, find x O 3 O 5

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Q: If A is a symmetric matrix, then At = A Diagonal Matrix TAI

A: A is a symmetric matrix

Q: The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged...

A:

Q: Exact differential equation 2(у + 1)e?dx + 2(e* — 2у)dy %3D 0

A: Please see the below picture for detailed solution. 

Q: Is \left(1,3\right)(1,3) a solution to this system of equations? ​ ​ 4x+5y=19\newline x+5y=164x+5y=1...

A: Yes (1,3) is the solution of system of equation

Q: For Exercises 17 and 18, the students were asked to solve the given equation using the square root p...

A:

Q: 11) 3".Zn

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Q: The terminal velocity of a skydiver is reached typically about 10-12 seconds into a dive. The square...

A: To find out the equation that models the situation. 

Q: Which of the following equations is a quadratic equation? O 14x (x2 + 1) = 15 O (x2 + 5) (x² - 5x + ...

A: topic -  quadratic equation 

Q: Exercises 35-42: Write the given ex- pression in the form f (x) = a (x – h)² + k. Identify - the ver...

A:

Q: If (x + yiX3 - 2i)= 16 - 2i, find the value of x

A: To find the value of x  we compare  both side's value of real parts 

Q: Consider the Venn Diagram below. A В 6 2 4 9 n(A) = n(B)= n(AN B)= n(AU B)= n(A)= n(B)= |

A:   we need to find following from the Venn Diagram n(A) = ?n(B)= ?n(A∩B)= ?n(A∪B)= ?n(A¯)=  ?n(B¯)= ?...

Q: Given the following functions: f(x) = x² -3 and g(x) x-3, ind S

A: Follow the procedure given below.

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I...

A:

Q: Suppose that y varies directly with x, and y=6 when x 15. (a) Write a direct variation equation that...

A: A detailed solution is given below

Q: Without graphing, answer the questions about the following system. X-Y=5 9x = 4y + 50 Is the system ...

A: Please see the below picture for detailed solution. 

Q: Find a matrix K such that AKB = C given that 1 4 66 40 -60 3 A -2 3 33 8 -12 1 -2 -24 -8 12 i K = II...

A: Given A=14-231-2 , B=30002-3, C=6640-60338-12-24-812Given,AKB=CTherefore K must be order 2x2Let K=ab...

Q: Write a system of inequalities that has a solution of a line. Then show its graph

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Q: Using the polar formula prove that?

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Q: In certain soil conditions, the number of surviving larvae in the hatch of an insect called a "clove...

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Q: The number of social interactions of ten minutes or longer over a one-week period for a group of col...

A: Solving question

Q: Find the determinant of the triangular matrix. 5 6 -3 0 0 0 0 0 0 0 7 7 5 0 -1

A:

Q: Solve for x , y and z from the given matrix equation. I (x - 2) y (2x - 3)]=[ (y + z)2 (x-1)] 9, 2,7...

A: Solve for x y, z.