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PLEASE HELP AND SHOW ALL WORK7.04Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.(4 points each.)1. 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = quantity four times quantity four n plus one times quantity eight n plus seven divided all divided by six2. 12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by twoFor the given statement Pn, write the statements P1, Pk, and Pk+1.(2 points)2 + 4 + 6 + . . . + 2n = n(n+1)
General
7 months ago
PLEASE HELP6.02BRespond to the following prompt in a word processing document. Describe, in detail, when to use the law of cosines, the law of sines, and the law of sines with the ambiguous case. Provide general guidelines, in your own words, for each law that can be applied to any triangle situation with which you are presented. To aid in your explanation, you may refer to specific problems from the text.Your response must include:A discussion ofThe law of cosinesThe law of sinesThe ambiguous case (law of sines)General guidelines in your own words that can be applied to any triangle.
General
7 months ago
Find the value of x. Round the length to the nearest tenth. Diagram is not drawn to scale.A.7.2ftB.6.9ftC.13.9ftD.9.7ft
General
7 months ago
WILL GIVE A BRAINLEST!!!!!! Solve and check : c-4/c-2=c-2/c+2 - 1/2-c The solution is c = How many extraneous solutions are there?
General
7 months ago
WILL GIVE A BRAINLEST!!!!!!Solve and check : c-4/c-2=c-2/c+2 - 1/2-cThe solution is c =How many extraneous solutions are there?
General
7 months ago
As cars passed a checkpoint, the following speeds were clocked and recorded. Speed (mph): 55 62 61 54 68 72 59 61 70 What are the minimum, first quartile, median, third quartile, and maximum of the data set? Show your work.
General
7 months ago
Consider the function f(x) = x2 + 12x + 11. x-intercepts: 0 = x2 + 12x + 11 0 = (x + 1)(x+ 11) y-intercept: f(0) = (0)2 + 12(0) + 11 What are the intercepts of the function? The x-intercepts are . The y-intercept is .
General
7 months ago
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation
General
7 months ago
If g(x) is the inverse of f(x) and f(x) = 4x+12 what is g(x)?
General
7 months ago
Determine the rigid transformations that will map ΔABC to ΔXYZ.a. Translate vertex B to vertex Z; reflect ΔABC across side AB.b. Translate vertex X to vertex C; rotate ΔXYZ to align the sides and angles.c. Reflect ΔABC across side AB; translate vertex C to vertex X.d. Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.
General
7 months ago
Mr. Keller bought a car for $20,000. A study shows that a car will depreciate (go DOWN in value) by 15% each year. How much is Mr. Keller’s car worth after 5 years? A) Formula used: B)Substitute values: C) Final answer D) Does this final answer make sense compared to the original cost of the car? Why? E) DESCRIBE (using a complete sentence or two) how you can solve this problem graphically. Please answer all
General
7 months ago
pleaseeeeeee answer!!!!!!!!!!!!There are eight planets in our solar system. Venus is the hottest planet, with an average temperature of 460°C. The average temperatures of some other planets are given in the table. Venus 460°C Earth 14°C Mars -60°C Neptune -214°C The net change in temperature from Neptune to Mars is _______°C. The net change in temperature from Earth to Neptune is ________°C. The net change in temperature from Venus to Earth is _________°C.
General
7 months ago
Meg constructed triangle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:Which could be the measures of angle POS and angle POQ? Measure of angle POS is 25 degrees, measure of angle POQ is 40 degrees Measure of angle POS is 25 degrees, measure of angle POQ is 30 degrees Measure of angle POS is 20 degrees, measure of angle POQ is 40 degrees Measure of angle POS is 20 degrees, measure of angle POQ is 30 degrees
General
7 months ago
match each expression to its equivalent standard form
General
7 months ago
What is the value of x? Enter your answer in the box. x = . Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 99.2 feet, G D equals 62 feet, D H equals left parenthesis x plus 2 right parenthesis feet, and E H equals 112 feet.
General
7 months ago
Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down? B. Is the vertex a minimum or a maximum? C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.
General
7 months ago
which competly describes the polygon
General
7 months ago
This figure is made up of a quadrilateral and a semicircle.What is the area of this figure?Use 3.14 for pi. Round your final answer to the nearest tenth.15.7 units²17.9 units²25.7 units²31.4 units²
General
7 months ago
Which of the following statements is true about the quadratic function shown below? y=3(x+1/3)^2+2/3 The vertex of its graph is ( 1/3, 2/3 ) The maximum value is 2/3 when x = -1/3 The minimum value is 2/3 when x = - 1/3
General
7 months ago
Find the value of y for which line a is parallel to line b385276142
General
7 months ago
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