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Let av = be given 2 −1 1 vector. Set it to that ` line the matrix of the perpendicular projection, which is parallel to the vector av, and passes through the origin.

calculate the solubility of Mg(OH)2 in a 0.0167M solution of Ba(NO3)2 using activities and molar concentration

By adjusting the target audience to the consumption of a new product on the market, a marketing consultancy estimated that, when benchmarking with the competition and acceptance surveys, likely demand would follow expression y=20750.(1,12)^x , where y=projected sales and x=consumers (in thousands). When placing the product on the market, In fact, the level of sales was excellent, reaching the 1700000 units. How many consumers are at this level of sales? (Consider ln(81,93)=4.40 and ln(1,12)=0.11)

The current value of a bill maturing in 40 days is €12,561.50. Calculate the nominal value of this effect knowing that it was discounted at the rate of 2.75%.

consider the parabola of equation y=(a-3)x^2-2(a+1)x+a-1 with a E R. Determine for which values of a this parabola: 1) does not intersect the x axis at any point; 2) has the vertex with a negative abscissa; 3) has the concavity facing downwards; 4) passes through point P (-2; 4).

Suppose e1, . . . , en is a basis of a complex vector space V . Let en+1 = −e1 − · · · − en. Prove that any vector v of V can be expressed in a unique way as a linear combination v = a1e1 + · · · + anen + an+1en+1 with coefficients a1, . . . , an, an+1 ∈ C satisfying a1 + · · · + an + an+1 = 0

Reijo has invested €8,000 in an investment fund with an average return of 6% per year. Reijo sells the fund shares after 6 years, and a 30% tax is normally paid on the capital gain. How many percent is the real return on Reijo's investment when the consumer price index has risen from 104.1 to 116.6 at the same time?

Calculate the work required so that a block of mass 5 kg initially at rest and placed on a horizontal frictionless surface, tied by a rope 20 cm long fixed at the other end, begins to rotate until it reaches a speed angular of 2 rps. Do you need to add more work to maintain this speed? Justify your answer by applying the principle of conservation of energy.

It is intended to create a savings of L 100,000.00 in 2 years with semiannual deposits that earn 15% compounded semiannually. Point out the total in the background in the second half. to. The semiannual contribution is L 22,356.75 and the total in the fund in the second semester is L 46,390.26 b. The semiannual contribution is L 22,336.35 and the total in the fund in the second semester is L 46,090.06 c. The semiannual contribution is L 22,355.55 and the total in the fund in the second semester is L 46,999.96

we collect around 1000 seeds per sunflower. A sunflower seed weighs about 0.05 grams. approximately 25 liters of oil are extracted from 100 kilograms of sunflower seeds. Lénaïc uses 3 tablespoons of his salad sauce (for 6 people). The content of 6 tablespoons of oil is approximately equal to 1 deciliter. How many sunflowers do you need to plant to produce the oil needed to make salad dressing? can I have the explanation with the answer?