Numerade

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Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. $$\log_2(x-3)+\log_2(x-2)-\log_2x=1$$

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All material objects (bodies) emit electromagnetic waves with a characteristic spectrum. Letx be a spectral variable i.e., x is one of (, f, ) (wavelength, frequency, or energy). Considera region of the electromagnetic spectrum between x and x + dx. Then we define the radiationdistribution function dudx as the fraction of a bodys total energy per unit volume du radiated inthe region dx:du =dudx|dx|.The form of the radiation distribution function depends on the spectral variable we choose(but the energy per unit volume does not). Plancks law gives dudx for a blackbody. In terms ofwavelength we haveu :=dud =8hc51ehckT 1.(a) (1.5 pt) Derive uf .(b) (1.5 pt) Derive u.Hint: Energy, frequency, and wavelength are related by = hf = hc/ so an increment of thewavelength d > 0 corresponds to a decrement of frequency df < 0. From the definition,ud = uf |df| = uf df.If you are not using this, youre missing something important!

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7. The 2 kg block was worked on from A to B. Friction is 10N from B to C. Calculate the speed at C, if it starts from rest. Distance from A to B is 3m. $F_{ap} = 30N$

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Annie prefers to consume the same amount of stuff each period, about $126 worth. They will have to save to achieve their goal.

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Question 2.1 (Assessment objectives...) Provide a brief explanation self-actualisation and the way role support workers can help a person achieve it.

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12. The compulsory course of PDSB allows the PAB to master effective techniques for safe movement of residents. According to which fundamental human need must serve the skill acquired by the PAB after the PDSB training..........

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4. The following information is available for two samples selected from independent normally distributed populations. Population A: $n_1 = 41$, $S_1 = 15.2$ Population B: $n_2 = 21$, $S_2 = 8.4$ a. At the 0.05 level of significance, is there evidence of a difference between $\sigma_1^2$ and $\sigma_2^2$? b. Suppose that you want to perform a one-tail test. At the 0.05 level of significance, what is the upper-tail critical value of F to determine whether there is evidence that $\sigma_1^2 > \sigma_2^2$? What is your statistical decision?

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Polygon B is a scaled copy of polygon A. Polygon A Polygon B What is the value of c ? Submit

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Calculate the money multiplier m, given the following: c = .65 e = .002 r = .10 Note: As always, round intermediate calculations to the nearest two decimal places, such as the result in your denominator, etc. Question 19 1 pts Given your calculation of the money multiplier m from the previous question, calculate the change in the money supply if the Fed engages in a $65 billion open market purchase of treasury securities. Note: Round all intermediate calculations to the nearest two decimal places, but express your answer as a whole number with no decimals, no comma, and no dollar sign. Example: $156.658.086,924.89 would be entered 156658086925 as your answer.

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1) Write a program to find the sum of all natural numbers up to given number. #include <stdio.h> // Write your function prototype here!! int main(){ int num; printf("Enter a positive integer: "); scanf("%d", &num); printf("Sum = %d",addNumbers(num)); return 0; } // Write your function here!!

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eric g.