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Q: The sum of 5th and 9th terms of an AP is 72 and the sum of 7th and 12th terms is 97.find the AP

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Q: Written as a simplified polynomial in standard form, what is the result when (2x + 1)² is subtracted...

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Q: Winston deposited $3,294 in a bank account with interest rate2.6%. How much interest was earned in 5...

A: Simple interest: Deposit amount is . Interest rate is. Find the interest that earned in 5 years. I...

Q: Find the end behavior of f(X) = – 7x6 + 5x3-10x2 + 6X + 13 None of these. O f(X) falls left, falls r...

A: Consider the equation is, fx=-7x6+5x3-10x4+6x+13 Consider that the degree of the polynomial is 6 tha...

Q: Solve the question mentioned in the photo below. Solve with detailed explanation.

A: identification of any function can be done by looking at the plot of that function.   in the above i...

Q: Factor completely

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Q: How many hours will regina and joseph have to work in order to make the same amount of money in one ...

A: Regina's hourly earning is 6.50h+16. Phil's hourly earning is 3(2.5h+5). Joseph's hourly earning is ...

Q: What is the equation for line h?

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Q: A couple plans to save for their child's college education. What principal must be deposited by the ...

A: First, identify the the values of time (t), interest rate (r) and number of times interest is compou...

Q: Finite Mathematics

A: The total number of ways selecting 2 cards is, C252=52!2!52-2!=52×51×50!2!×50!=1275

Q: Express as a trinomial

A: The monomial expression consists of only one term. The binomial expression consists of only two term...

Q: Verify that y=-2 is the correct solution to the equation using substitution. Compare and contrast Jo...

A: John and Maria solved the same equation using 2 different methods. We need to verify y=-2 is the sol...

Q: Write the following set as set builder1) A = { 0, 3, 6, 9, 12, …} 2) B = { 1, 2, 4, 8, ……. }3) C = {...

A: Given: We are given 4 sets in roaster form. 1) A=0,3,6,9,12,... 2) B=1,2,4,8,... 3) C=-4,-3,-2,-1,0,...

Q: Solve 2x + 3y = 11 and 2x -  4y = - 25And hence find the value of m for which y = mx + 3

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Q: 3-49 a Solve each of the following systems algebraically. What do the solutions tell you about the ...

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Q: A ball is thrown into the air with an initial upward velocity of 48ft/s. It height hh in feet after ...

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Q: I have tried this 15 times, and I cant get it!!

A: The system is                   -5x1+4x2=-1-4x1+3x2=1 Using the inverse matrix, we have to find a so...

Q: explanation of the whole procees, struggling with the steps

A: Explanation of the solution is given below...

Q: solve the equation and show solution on a graph 3x+2y=1 2x-y=10

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Q: Suppose that $2000 is loaned at a rate of 12%, compounded quarterly. Assuming that no payments are m...

A: A=P1+rnnt r is the rate t is the time P is the principal. A is the amount after t years.  

Q: When ordering tickets online, a college theater charges a $5 handling fee no matter how large the or...

A: 6. When we order tickets online,a college theatre charges a $5 handling fee no matter how large the ...

Q: 3. Once an antibiotic is introduced to bacteria, the number of bacteria decreases exponentially. For...

A: Consider the given function of bacteria decay exponentially  At=1,0000002-t10

Q: Did you get it in the orange box. Please solve using the substitution method.

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Q: 1. Jim got 30 questions correct out of a total of 35. What was the percentage he got correct? 2 Jack...

A: 1. Given Data: The total number of questions is: N=35 The total number of questions that Jim got co...

Q: Find the volume in the first octant bounded by the cone z2 = x2 − y2 and the plane x = 4.

A: The given conic curve is, z2=x2-y2 Boundary limits are as follows, Limit of x: 0 to 4Limit of y: 0 t...

Q: Vrite a few sentences to explain why the following set of vectors is NOT a basis for R5. (1,0, 2, 0,...

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Q: Question 17/26 17 Select whether each equation has no solution, one solution, or infinitely many sol...

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Q: In a rectangle ABCD , E is middle point of AD . If AD = 40 m and AB = 48 m then find EB

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Q: Verify that each of the following statements is a false statement byfinding a counterexample for eac...

A: Here given n2>n for real number n Now put n=0 Thus statement becomes  0<0 which is impossible....

Q: Written as a simplified polynomial in standard form, what is the result when (3x + 1)² is subtracted...

A: We know that, a+b2=a2+b2+2ab

Q: Find the maximum number of zeros that f(X) = – 7X6 + 5X³– 10X² + 6X + 13 may have. None of these. 07

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Q: Write the equation of the graph shown below in factored form. 10

A: Graph touch the x axis at -1,2,3 So the zeroes are x=-1,2,3

Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   ...

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that equatio...

Q: Did you get it. Solve the system of equations. Please graph also.

A: Given: system of linear equation  4x+3y=-2                            .........1y-4x=-6             ...

Q: Same price? 5. Your house is 2 km due north of a stream that runs east-west. Your aunt's house is lo...

A: The given data can be represented in the below figure.                   The shortest distance of th...

Q: Linear Algebra.

A: Given information: Consider AB=AC and B and C are n×p matrices and A is invertible.  Calculation: Po...

Q: Factor the following expression completely: 423 – 36z2 + 56z = -

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Q: The population P of a bacteria culture is modeled by *picture* , where t is the time in hours. If th...

A: The population P of a bacteria culture is modeled by P=4100ekt , where t is the time in hours. The p...

Q: Solve the following equation: (р+ 4) (р — 3) 3D 8 - p = ||

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Q: If the room measured 15 ft by 20 ft by 10 ft, approximately how many basketballs did the students pu...

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Q: 4. Consider the following equations: 1=1 2+3+4=1+8 5+6+7+8+9 =8+27 10+11+12+13+14+15+16%3D27+64 Form...

A: Consider the following four equations: (1) 1=1 (2) 2+3+4=1+8 (3) 5+6+7+8+9=8+27 (4) 10+11+12+13+14+1...

Q: Distribute and simplify

A: Explanation is given below....

Q: The graph shows the relationship between the number of cookies a presenter at a convention had left ...

A: The graph represents straight line having points 6,0 and 0,180. The standard equation of straight li...

Q: n(n – 3) what is 18"term of the sequence defined by a, %3D n +4

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Q: Linear Algebra.

A: Matrix: Let A be a matrix  B is the inverse of the matrix. A=B-1 AB=I

Q: Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we ca...

A: Consider the given: a) Height of the cylinder = 8 inches Area of the cylinder,Ar = 2πr2+16πrArea of...

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.