- Liz Bliss spends 18 hours on a project and estimates that she has completed 2 3 of the project How many hours does she expect the project to take Liz Bliss spends 18 hours on a project and estimates that she has completed 2/3 of the project. How many hours does she expect the project to take?
- Madison Duke needed start up money for her bakery She borrowed $ 1200 for 30 months and paid $360 simple interest on the loan What interest rate did she pay Madison Duke needed start-up money for her bakery. She borrowed $ 1,200 for 30 months and paid $360 simple interest on the loan. What interest rate did she pay?
- Margaret Hillman invested $5000 at 1 8% compounded quarterly for one year Find the future value and the interest earned for the year Margaret Hillman invested $5,000 at 1.8% compounded quarterly for one year. Find the future value and the interest earned for the year?
- What amount must be remitted if invoices dated July 25 for $929 August 10 for $763 and August 29 for $864 all with terms 3 20 n 40 are paid together on August What amount must be remitted if invoices dated July 25 for $929, August 10 for $763, and August 29 for $864, all with terms 3/20, n/40, are paid together on August 30?
- What is the future value of an annuity due of $5645 paid every six months for three years at 6% annual interest compounded semiannually What is the interest What is the future value of an annuity What is the future value of an annuity due of $5,645 paid every six months for three years at 6% annual interest compounded semiannually? What is the interest? What is...
- Cam Fitzer a whitecollar exempt employee started working for Villan Company on Thursday of this week He worked 9 hours on both Thursday and Friday His annual salary is $77000 and he is paid Cam Fitzer, a white-collar exempt employee, started working for Villan Company on Thursday of this week. He worked 9 hours on both Thursday and Friday. His annual salary ...
- Kohls sells casual shirts for 9 and polo shirts for $1800 Total sales were $1080 and customers bought 4 times as many casual as polo shirts How many casual shirts did Kohls sell Kohl’s sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts ...
- TBP and TCQ are tangent of a circle from TAngel ABP 65 and Angel ACQ is 40 Find the value of BAC And BTC angle TBP and TCQ are tangent of a circle from T.Angel ABP = 65 ° and Angel ACQ is 40°. Find the value of BAC And BTC angle .
- Rewrite the following pairs of equations in the form of a matrix equation Rewrite the following pairs of equations in the form of a matrix equation, AX = B, and 149,CRAMERS RULE to solve Vim system. a. 5xy= 7 3x — 4y = 18 b. 3x 3y = 18 x y = 7A
- Write the trignometric form of the complex number 5 12i Write the standard form of the complex number Write the trignometric form of the complex number 5 12i . Write the standard form of the complex number 4(cos i sin 4n 3 3 •A
- A dept of $800 is payable in 7 years and 5 months Determine the accumulated value of the dept at 10 8 % pa Compounded annually A dept of $800 is payable in 7 years and 5 months. Determine the accumulated value of the dept at 10.8 % p.a. Compounded annually.3. >
- In a pentagon ABCDE AB AE BC ED and ABC AED Prove that In a pentagon ABCDE, AB=AE,BC=ED and ?ABC=?AED. Prove that : AC=AD >
- The diagonals AC and BD intersect at point O If OB OD and AB DC show that Area The diagonals AC and BD intersect at point O. If OB = OD and AB//DC, show that : Area(?DCB)=Area(?ACB). >
- In a triangle ABC a b c denote the lengths of the sides BC CA AB If D is the midpoint of the side BC and AD is perpendicular to AC then In a triangle ABC, a, b ,c denote the lengths of the sides BC, CA, AB.If D is the midpoint of the side BC and AD is perpendicular to AC, then A) 3b2 = a2-c2 B) 3a2 = b2-3...
- Given PA is a tangent to the circle C is the center O Prove APB CPA Given: PA is a tangent to the circle C is the center O Prove: ? APB ~ ? CPA >
- Three listening stations located at 3300 0 3300 1100 and 3300 0 monitor an explosion If the last two stations detect the explosion 1 second and 4 seconds after the first respectively Three listening stations located at (3300, 0), (3300, 1100), and (-3300,0) monitor an explosion. If the last two stations detect the explosion 1 second and 4 seconds afte...
- There a park in the shape of a rhombus one of the side is 5 units in length There are two gates exactly at the mid points of two adjacent walls of the parkThere is a straight path connecting two There a park in the shape of a rhombus one of the side is 5 units in length .There are two gates exactly at the mid points of two adjacent walls of the park.There is a st...
- There are two concentric circles such that the area of the outer circle is four times the area of the inner circle Let A B and C be three distinct points on the perimeter of the outer circle such There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimet...
- Let S1 be a square of side a Another square S2 is formed by joining the mid points of the sides of S1 The same process is applied to S2 to form yet another square S3 and so on If Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1 . The same process is applied to S2 to form yet another square S3 ,...
- In the following figure the diameter of the circle is 3 cm AB and MN are two diameters such that MN is perpendicular to AB In addition CG is perpendicular to AB such that In the following figure, the diameter of the circle is 3 cm. AB and MN are two diameters such that MN is perpendicular to AB. In addition, CG is perpendicular to AB such ...
- the cow is tethered to the corner of the shell if the length of the rope is 5 and the shed haas length is 4 and width is 3 what is the maximum area accessible to the cow the cow is tethered to the corner of the shell. if the length of the rope is 5 and the shed haas length is 4 and width is 3, what is the maximum area accessible to the cow?
- The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find angle T in degrees The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find angle T in degrees.
- Find the axis of parabola Find the axis of parabola y^2-2y8x-23=0 >
- Find asymptotes of 36y 2 25x 2 900 Find asymptotes of 36y^2-25x^2900=0 >
- Trace the curve find the vertices foci eccentricity of the ellipse Trace the curve, find the vertices, foci, eccentricity of the ellipse 16x^29y^232x-36y=92 >
- Prove that the line 5x 12y 9 touches the curve x 2 9y 2 9 Prove that the line 5x12y = 9 touches the curve x^2-9y^2 =9 >
- In ABC AE BC and CD AB AE 6 and CE 7 BE EC 3 4 Find the length of AB In ?ABC, AE ? BC and CD ? AB, AE = 6 and CE = 7. BE : EC = 3 : 4. Find the length of AB.
- If mid point of the line joining 34 and k7 is xy and 2x2y1 0 find k If mid point of the line joining (3,4) and (k,7) is (x,y) and 2x2y1 =0 find k >
- Consider the following two lines Consider the following two lines: L1 : x =(y - 1)/2=(z - 1)/3 L2 : 6(x - 1) = 3y 1 = z. (a) Show that L1 and L2 are skew.
- Find the angle between the planes x2y3z 0 and 3x 2y z 0 Find the angle between the planes x2y3z=0 and 3x2yz=0.
- Let D be a point between B and C on the side BC ofABC such that Let D be a point between B and C on the side BC of?ABC such that BD=15, CD = 5, and ?ADB = 60 = (1/2)?CAB. Find the length of AC. >
- Find the coordinates of the point where the line through the points 345 and 2 3 crosses the plane determined by the points Find the coordinates of the point where the line through the points (3,-4,-5) and (2,-3,1) crosses the plane determined by the points (1,2,3) (4,2,-3) and (0,4,3) >
- A varaible plane which remains at a constant distance 3p from the origin cuts the coordinate axes at A B C Show that the locus of the centroid of triangle ABC is A varaible plane which remains at a constant distance 3p from the origin cuts the coordinate axes at A, B, C. Show that the locus of the centroid of triangle ABC is 1/x^2...
- Let a 2i j 2k and b i j Let c be a vector such that c a 3 axb xc 3 and the angle between c and a x b be 30 degrees Then a c is equal to Let a= 2ij-2k and b = ij. Let c be a vector such that |c-a| = 3, |(axb)xc| =3 and the angle between c and a x b be 30 degrees. Then a.c is equal to: >
- Let a 2ij2k and b ij Let c be a vector such that ca 3 axb xc 3 and the angle between c and a x b be 30 degrees Then a c is equal to Let a= 2ij-2k and b = ij. Let c be a vector such that |c-a| = 3, |(axb)xc| =3 and the angle between c and a x b be 30 degrees. Then a.c is equal to: >
- If the image of point 123 in the plane 2x 3y 4z 22 0 measured parallel to the line If the image of point (1,-2,3) in the plane, 2x3y-4z22 =0 measured parallel to the line x/1 = y/4 = z/5 is Q, then find the length of PQ. >
- Given that AB 4 BC 4 CD 6 and ADC 53 find the indicated angle and lengths ABE and AD Given that AB = 4, BC = 4, CD = 6 and ?ADC = 53, find the indicated angle and lengths - ?ABE and AD
- The line parallel to y 05x 3 that passes through 7 2 The line parallel to y=0.5x 3 that passes through (-7, 2).
- A right angle triangle ABC has sides 3cm 4cm 5cm A square having maximum area draw within the triangle find the diagonal of the square A right angle triangle ABC has sides 3cm, 4cm, 5cm. A square having maximum area draw within the triangle , find the diagonal of the square? >
- Two gear wheels with radii of 25 cm and 60 cm have interlocking teeth How many radians does the smaller wheel turn when the larger wheel turns Two gear wheels with radii of 25 cm and 60 cm have interlocking teeth. How many radians does the smaller wheel turn when the larger wheel turns 4.0 rev?
- The two legs of a right triangle measure 6 and 8 inches respectively What is the area of the circle that contains all 3 vertices of the triangle The two legs of a right triangle measure 6 and 8 inches respectively. What is the area of the circle that contains all 3 vertices of the triangle?
- Grocer stock markets and a lot more fun and addicting and I dont think that I have a great way of the year Grocer stock markets and a lot more fun and addicting and I dont think that I have a great way of the year
- For the points P and Q find a the distance d P Q and b the coordinates of the midpoint of the segment For the points P and Q, find (a) the distance d (P, Q) and (b) the coordinates of the midpoint of the segment PQ. d= (P,Q) >
- If A is an idempotent matrix show that the eigen values of A are 0 and If A is an idempotent matrix, show that the eigen values of A are 0 and 1 >
- If A is square matrix and det AAt I then detAAt 1 or If A is square matrix and det (AA^t)=I , then det(AA^t) -1 or 1.
- Prove that the matrix A is its own inverse Prove that the matrix A is its own inverse -1 2 -2 4 -3 4 4 -4 5 >
- Find the rank of the matrix Find the rank of the matrix 1 2 3 -1 2 4 6 -2 3 6 9 -3 >
- Determine whether or not the set B is a basis for the space spanned by the set Determine whether or not the set B is a basis for the space spanned by the set A
- Let B b1b2 bn be a basis for a vector space VProve that every v in V can be express as a linear combination of the bis in only one way Let B=(b1,b2,....bn) be a basis for a vector space V.Prove that every v in V can be express as a linear combination of the bis in only one way. >
- If then for what value of a is A an identity matrix If , then for what value of a is A an identity matrix? >