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stephen gregory

stephen g.

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The NCAA estimates that the yearly value of a full athletic scholarship at instate public universities is $19,000. Assume the scholarship value is normally distributed with a standard deviation of $2,100

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1. Explain how to get the formula of the orthogonal projection $p$ of a vector $b$ in $\mathbb{R}^3$ onto a one-dimensional space defined by vector $a$: $p = \frac{a^T b}{a^T a} a$.

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If a sample of carbon tetrachloride contains 11.7 g of chlorine, how many grams of carbon does it contain?

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Multiple Choice Question Assume bacteria are growing in a sugar solution where the concentration of salt is lower in the solution than in the cellular cytoplasm. By which mechanism will water enter the cells? ? Active transport ? Osmosis ? Simple diffusion ? Facilitated diffusion

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Assuming that the planet Earth can be considered as a uniform sphere (mass 5.97x10^24 kg, radius 6.37x10^6 m) rotating around the sun forming a circular path (center-to-center radius 0.15x10^12 m), determine the amount of angular momentum of the planet Earth around the sun (ignore rotation about its own axis). Write your answer to two decimal places in units of [10^40 kg.m2/s].

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Today, Wilma purchased a cottage and a boat worth a combined present value of $390,000. To purchase the cottage, Wilma agreed to pay $60,000 down and $2,100 at the end of each month for 20 years. To buy the boat, Wilma was required to pay $6,000 down and $X at the end of each month for 4 years. Determine X if interest is 12% with monthly compounding

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An electron has a mass of one in certain units and under a force field, it moves with the velocity (-xy, zy, xz). What is the force acting on the electron? Write the vector with parentheses and without leaving spaces.

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Use the information below to answer questions 8 and 9: A 230 V, 50 Hz ideal transformer has 500 primary turns and 30 secondary turns. The primary voltage is 3000 V, 50 Hz supply. 8. Find the primary current in amps. A 10.0 B 30.0 C 60.0 D 1000.0 9. Find the secondary emf in volts. A 50,000.0 B 25,000.0 C 180.0 D 900

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(#5) [4 pts.] Here is the parametric curve associated with $r(t) = \langle t, -t^2 + 4t \rangle$. We already know that $v(t) = \langle 1, -2t + 4 \rangle$. Using this information, determine the principal unit normal vector at $t = 1$. N(1) = ??? Hint: You should know a good trick for finding orthogonal vectors in 2D without using the long formula.

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