The italicized words in each numbered item appear in the Odyssey. Using your knowledge of these words, identify the word in each group that does not belong. Then, explain your response. plundered, robbed, donated

A tetrahedron has an equilateral triangle base with 20-cm-long edges and three equilateral triangle sides. The base is parallel to the ground, and a vertical uniform electric field of strength 200 N/C passes upward through the tetrahedron. a. What is the electric flux through the base? b. What is the electric flux through each of the three sides?

The following table lists hypothetical values.

Fill in column (4) by calculating real GDP using the GDP deflator with a base year of 2016 from column (3). Fill in column (7) by calculating real GDP using the GDP deflator with a base year of 2018 from column (6).

A parallelogram has a base of $12 \frac{1}{4}$ kilometers and a height of 6 kilometers. Find the area of the parallelogram, then explain how the area would change if the base were multiplied by 4.

Annie and Sashi are backpacking in the Sierra Nevada. They walk 8 km from their base camp at a bearing of $42^{\circ}$. After lunch, they change direction to a bearing of $137^{\circ}$ and walk another 5 km. a. How far are Annie and Sashi from their base camp? b. At what bearing must Sashi and Annie travel to return to their base camp?

Oxygen reacts with other elements to form oxides. Three examples are: calcium oxide, phosphorus pentoxide, and copper(II) oxide.

a. Which of these is:

i. an insoluble base?

ii. a soluble base?

iii. an acidic oxide?

b. When the soluble base is dissolved in water, the solution changes the colour of litmus paper. What colour change will you see?

c. Name the gas given off when the soluble base is heated with ammonium chloride.

d. i. Write a word equation for the reaction between the insoluble base and sulfuric acid.

ii. What is this type of reaction called?

e. Name another acidic oxide.

Find the centroid of a right circular cone with height h and base radius a. (Place the cone so that its base is in the xy-plane with center the origin and its axis along the positive z-axis.)

The italicized words in each numbered item appear in the Odyssey. Using your knowledge of these words, identify the word in each group that does not belong. Then, explain your response. dispatched, hesitated, completed

A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. a. How fast is the top of the ladder sliding down the wall then? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then?

Dawn is trying to find the dimensions of a parallelogram. She knows that the base is one unit less than twice the height of the shape. The area is 91 square units. How long are the base and height?

Use differentials to estimate the change in the volume of a cone with a circular base if the height of the cone is increased from 10 cm to 10.01 cm while the radius of the base stays fixed at 2 cm.

The costume department of a theatre company is making cone-shaped hats for a play set in medieval times. Each hat will be covered with satin over its entire lateral surface area inside and out. The slant height of each hat will remain constant at 20 inches, but the radius of the base will vary to accommodate different head sizes. Using $3.14$ for $\pi$, the lateral area of the hat can be expressed as a function.

Sketch a graph that shows the lateral area of the hat $y$, square inches, as a function of the radius of its base $x$, in inches.

$y$-Intercept: No lateral area when the radius of its base is 0 inches. Linear or Nonlinear: The graph of the function is linear. Positive: for radius of a base greater than 0 Increasing: for radius of a base greater than 0 End Behavior: As the radius of the base increases, the lateral area increases.

Gardening A gardener is designing a new garden in the shape of a trapezoid. She wants the shorter base to be twice the height and the longer base to be 4 feet longer than the shorter base. If she has enough topsoil to create a 60 ft² garden, what dimensions should she use for the garden? Solve your equation. Are the solutions reasonable?

Choose the answer that best describes the action or situation.
___________ A situation in which a knowledge of minutiae would be most helpful
a. trivia competition
b. movie marathon
c. college application
d. resting comfortably