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A sample of methane gas at a pressure of 848 mm Hg and a temperature of 38 \deg C, occupies a volume of 6.40 liters. If the gas is heated at constant pressure to a temperature of 85 \deg C, the volume of the gas sample will be

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A chemist prepares a solution of zinc nitrate ($Zn(NO_3)_2$) by measuring out $1.8 \times 10^2$ µmol of zinc nitrate into a 250. mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in µmol/L of the chemist's zinc nitrate solution. Round your answer to 2 significant digits.

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What is the chromosomal basis for the following disease? 1. Colorblindness A) X-linked dominant B) X-linked recessive C) Autosomal recessive D) Autosomal dominant

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A Si solar cell shows the following characteristics under normal sunlight. Answer the followings:

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A bar of length 4L, with L=1 m and mass m=12 Kg is pinned at the midpoint. A spring of constant k is attached at one end of the bar and a damper of constant c is attached at point Q as shown. If an initial rotation is given to the bar, use the response shown in the graph to find the constant c of the damper.

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The company's problems can be solved through one of two mutually exclusive alternatives. The company's discount rate is 12%. You have also been told that alternative 1 has an internal interest rate of 22% and that alternative 2 has an internal interest rate of 28%. You have also been told that option 1 and option 2 have the same net present value at the interest rate of 16%. Assess the following statements from the company's situation: 1. Since alternative 2 has the highest internal rate of return, the internal rate of return rule states that alternative 2 must be chosen. Both options must be implemented because the IRR is greater than the discount rate in both cases. Since the discount rate is lower than the interest rate that gives the same net present value for the two projects, alternative 1 must be chosen. Which of the following answer alternatives is correct, from the perspective of the current decision situation? Choose an alternative: Only statement 3 is correct. Both statements 1 and 3 may be correct, but more information is needed for the right decision to be made. Only statement 1 is correct. Only statement 2 is correct.

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A thin cylinder of 300 mm internal diameter and 12 mm thickness is subjected to an internal pressure P while the headers are subjected to an external pressure 0.5P. Determine the value of P at which yielding will occur in the cylinder according to both Tresca and von Mises failure criteria. Let the yield stress of the thin cylinder be 270 MPa [21.6 MPa 23.6 MPa]. 1.6 MPa.

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3a)Here is a list of numbers.5 6 13 5 5 8 4 2 2, work out the mean.

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A radioactivity detector is said to have the efficiency of 17%. Its background count of the instrument indicates 100 376 counts per 1000 minutes. If a count per minute shows a reading of 11 100 cpm at 0.3 minutes. (i) Calculate the plausible number of disintegrations per minute of the sample at that time using this detector. (ii) What do you understand by the term radioactivity detector?

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(15 points) Show that $P_1: \mathbb{R}^n \to \mathbb{R}^n$ defined by $P_1(u) = \text{proj}_{e_1}(u)$ is a linear transformation. ($P_1(u)$ is the projection of u onto the first coordinate, that is, the vector in $\mathbb{R}^n$ with the first component of u and the rest of the components zeros.) Additionally, explain why this would work no matter which component we took in the linear transformation. (10 points) Find a basis of the kernel of the linear transformation in the previous problem. Use the underlying spaces that $P_1: \mathbb{R}^4 \to \mathbb{R}^4$.

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breanna m.