The italicized portion of each sentence below contains some flaw. Select the answer that best corrects the flaw.

Monk Pond is much more shallower than Goodman's Lake.

F. lesser in depth then

G. much less deeper than

H. much more shallow than

J. much less deep than

Near a buoy, the depth of a lake at the point with coordinates $(x, y)$ is $z = 200 + 0.02x^2 - 0.001y^3,$ where $x, y,$ and $z$ are measured in meters. A fisherman in a small boat starts at the point (80, 60) and moves toward the buoy, which is located at (0, 0). Is the water under the boat getting deeper or shallower when he departs? Explain.

Find the matrix that projects every point in the plane onto the line x + 2y = 0.

At ordinary body temperature $\left(37^{\circ} \mathrm{C}\right)$ the solubility of $\mathrm{N}_2$ in water in contact with air at ordinary atmospheric pressure $(1.0 \mathrm{~atm})$ is $0.015 \mathrm{~g} / \mathrm{L}$. Air is approximately $78 \mathrm{~mol} \% \mathrm{~N}_2$. Calculate the number of moles of $\mathrm{N}_2$ dissolved per liter of blood, which is essentially an aqueous solution. At a depth of $100 \mathrm{ft}$ in water, the pressure is $4.0 \mathrm{~atm}$. What is the solubility of $\mathrm{N}_2$ from air in blood at this pressure? If a scuba diver suddenly surfaces from this depth, how many milliliters of $\mathrm{N}_2$ gas, in the form of tiny bubbles, are released into the bloodstream from each liter of blood?

The function $T$ given by $T(d)=10 d+20$ can be used to determine the temperature $T$, in degrees Celsius, at a depth $d$, in kilometers, inside the earth. $\\$ a) Find$T(5), T(20)$, and$T(1000)$.$ $b) The radius of the earth is about$5600 $$ \mathrm{~km}$. Use this fact to determine the domain of the function. $$

Give the first five terms of the following:

$\bold{i}$. The arithmetic sequence whose first two terms are $1, 7$ $\bold{ii}$. The geometric sequence whose first two terms are $2, 8$

Determine the common difference and common ratio for the sequences

Escribe una oración con la siguiente palabra.

Arpa.

Who was the first ruler of the Akkadian empire?

Why do legislators vote for spending projects in districts that are not their own?

Castor oil is poured into the funnel so that the level of $200 \mathrm{~mm}$ is maintained. It flows through the stem at a steady rate and accumulates in the cylindrical container. If it takes $5$ seconds to fill the container to a depth of $h=80 \mathrm{~mm}$, find the viscosity of the oil. Take $\rho_o=960 \mathrm{~kg} / \mathrm{m}^3$.

Write the first six terms of the geometric sequence with the first term, $a_{1}$, and common ratio, r. $a_{1}=2, r=3$

In a study of frost penetration it was found that the temperature T at time t (measured in days) at a depth x (measured in feet) can be modeled by the function T(x,t)=T0+T1e^-λx sin(wt-λx) where w = 2π/365 and λ is a positive constant. Find ∂T/∂t. What is its physical significance?

The volume of a bubble that starts at the bottom of a lake at 4.55 °C increases by a factor of 10 as it rises to the surface where the temperature is 18.45 °C and the air pressure is 0.965 atm. Assuming that the density of the lake water is $1.00\;\mathrm{g/cm^3}$, determine the depth of the lake. (Hint: You will need to use Equation 10.1.)

You have set aside $20$ hours to work on two class projects. You want to maximize your grade (measured in points) which depends on how you divide your time between the two projects. What is the constraint?