Use induction to prove (1*2)+(2*3)+(3*4)+...+(n-1)*n= n(n-1)(n+1)/3 for all n >= 2.

QUESTION 1 A correlation can be positive or negative. When I correlate the time spent studying and learners’ test scores, I get a correlation of .89. Did I get a positive or negative correlation? A. ‍Positive Correlation B. ‍Negative Correlation...

1 of 5 Approximately how much of the nation's housing built before 1978 contains some lead-based paint? 14% 25% 60% 75%...

The most recent financial statements for Hopington Tours Inc. follow. Sales for 2018 are projected to grow by 25%. Interest expense will remain constant; the tax rate and the dividend payout rate will also remain constant. Costs, other expenses, current assets, and accounts payable increase spontane...

3. Show that the sequence of functions 72 k23k defined on , l converges uniformly to some f....

Corn, one of the major “energy crops”, can produce about 2000 liter of Ethanol biofuel per acre per year. If your car need about 100 liter of ethanol fuel per week for your work commute, about how much land do you need to grow your own fuel? Select one: a. 0.5 acre b. 20 acre c. 2.6 acre...

The T gene is necessary for the tail to develop in mice. What do you expect would happen to a mouse with a mutation that causes the T gene to be non-functional? The mouse would have no tail The mouse would have extra tails The mouse would be normal The mouse would grow a tail in the incorrect locati...

The data below were collected for the following reaction at 500 ∘C: CH3CN(g)→CH3NC(g) Time (h) [CH3CN] (M) 0.0 1.000 5.0 0.794 10.0 0.631 15.0 0.501 20.0 0.398 25.0 0.316 Determine the order of the reaction at this temperature. What is the half-life for this reaction (at the initial conce...

(8 points) In 2015, the average cost of attendance at public 2-year colleges and technical schools across the United States was $12,260. A researcher wants to know if the 2-year colleges in Michigan are less expensive. 1. A QQ-plot of the cost of attendance at public 2-year colleges and technical sc...

A new truck has tires with a diameter of 32.0 inches. The tires have a tread-life warranty of 63,000 miles. (a) How many radians will the tires rotate through within the full warranty length? X Your answer cannot be understood or graded. More Information cad (b) How many revolutions is this equivale...

Need help with A. and B. Decision Making by Individuals and Firms-End of Chapter Problem 8. The Centers for Disease Control and Prevention (CDC) recommended against vaccinating the whole population against the smallpox virus because the vaccination has undesirable, and sometimes fatal, side effec...

Once again, you can easily use induction to prove the very cool fact that the sum of the first n perfect cubes is equal to the square of the nth triangular number, but can you do it with a picture, instead? 2.4.8 Once again, you can easily use induction to prove the very cool fact that the sum o...

..1 T-Mobile Wi-Fi ? 9:50 PM 76% GOAL Calculate a time constant and relate it to current in an RL circuit. PROBLEM A 12.6-V battery is in a circuit with a 30.0-mH inductor and a 0.150-? resistor. The switch is closed at t = 0. (a) Find the time constant of the circuit. (b) Find the current after one...

Starting at macroeconomic equilibrium at full employment, show the effect of completely expected expansionary monetary policy using an aggregate demand–aggregate supply (AD–AS) model and discuss....

How do you find the slope of a curve at a point?...

Topic: Organic Chemistry Please make all drawings very clear. Please show all work and side products along with brief explanations. Thank you. 6. As you have seen in lecture, acid halides react with alcohols to form esters. a. Provide a complete curved-arrow mechanism for the following transformat...

The piston-cylinder device contains 0.2kg of water, at an initially volume V-0.012m' and pressure of 1000k Pa. Stops in the piston restrict the enclosed volume to V,-0.03398 m' as shown in the figure. The water isnow heated to 1200 C. (Hint: We identify3states) /eve 2 a) What is the initial ...

HITS DISPENSING WITHOUT PRESCRIPTION 24. m e The provider orders iron dextran 40 mg IM daily for anemia. The medication is supplied in How many milliliters will the nurse administer?...

2 Mechanical equilibrium 200N 200 N 250N Ws? (10 pts) The sketch shows a painter's staging in mechanical equilibrium. The person in the middle weighs 250N, and the tensions in each rope are 200N. What is the weight of the staging (the horizontal platform)?...

Can u pla help me with a client education and interpretation of findings of eletrocardiogram...