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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The figure shown is a trirectangular tetrahedron, a three-dimensional figure with four triangular faces, three of which are right triangles.A chemistry professor uses trirectangular tetrahedrons to create large-scale models of various carbon-based molecules. The base of one of these tetrahedrons is an isosceles right triangle whose legs each have length 14 inches (in).The height of this tetrahedron is 15 in.Which of the following is closest to the volume of this tetrahedron, in pints? (Note:1 pint = 0.5 quarts; use 1 quart = 57.75 in³. The volume of a trirectangular tetrahedron is equal to , where is the area of its base and is its height.)

A14,148.75B16.97C490.00D101.82

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

As part of a science experiment on evaporation, Ella measured the height of water in a glass over a period of time.The function f

gives the estimated height, in centimeters (cm), of the water in the glass

days after the start of the experiment.Which of the following is the best interpretation of 32 in this context?

AThe estimated height, in cm, of the water at the end of the experimentBThe estimated height, in cm, of the water at the start of the experimentCThe estimated number of days for all the water to evaporateDThe estimated change in the height, in cm, of the water each day

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

Which of the following points

represents the solution to the given system of equations in the

-plane?

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The given equation relates the positive numbers

, and

. Which equation correctly expresses

in terms of

and

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The ratio 72 to

is equivalent to the ratio 2 to 18. What is the value of

A18B162C4D648

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

Which value is a solution to the given equation?

B4C70D74

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

A shipment consists of 5-pound boxes and 10-pound boxes with a total weight of 360 pounds. There are 23 10-pound boxes in the shipment. How many 5-pound boxes are in the shipment?

A23B10C5D26

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The given equation relates the numbers

, and

. Which equation correctly expresses

in terms of

and

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The length of a rectangle is 45 inches and the width is

inches. The perimeter is at most 150 inches. Which inequality represents this situation?

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

What is the range of the data set shown?

A33B20C14D100

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The function

gives the number of bacteria in a population

minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

A1.200B2C600D90,000

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

A teacher is creating an assignment worth 56 points. The assignment will consist of questions worth 1 point and questions worth 2 points.Which equation represents this situation, where

represents the number of 1-point questions and

represents the number of 2-point questions?

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

An exponential function

is defined by

, where

is a positive constant. If

and

, what is the value of

A12B11C4D3

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

In the figure shown, line is parallel to line , and line intersects both lines.What is the value of ?

A144B54C108D234

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

What is the

-intercept of the graph of

in the

-plane?

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

Parallelogram

is similar to parallelogram

,such that

, and

correspond to

, and

, respectively. The measure of angle

and

. What is the measure of angle

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

Rectangle

has an area of 370 square centimeters. The length of the rectangle is 10 centimeters. What is the width, in centimeters,of the rectangle?

A37B94C185D10

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

In triangle and triangle ,the measures of angles and are each ,and the lengths of and are each 16 centimeters.Which of the following additional pieces of information is(are) sufficient to prove that triangle is congruent to triangle ?

I.The measures of angles and are each .

II. $\frac {AB} {AC}=\frac {XY} {XZ}$

I is sufficient, but II is not.

BI is sufficient, and II is sufficientCII is sufficient, but I is not.DNeither I nor II is sufficient.

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The graph of the function C shows the estimated number of chirps a field cricket makes per minute as a function of the temperature x, in degrees Fahrenheit (°F), where y=C(x). According to the graph, what is the estimated number of chirps, to the nearest whole number, a field cricket makes per minute when the temperature is 44°F?

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The function g is defined by $g(x)=\frac {1} {3}(x+15)+24$ .What is the value of g(12)?

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The function C gives the estimated total cost C(x), in dollars, to produce x units of a certain product, where $600\leq x\leq 2,000$ .According to the equation, what is the estimated total cost, in dollars, to produce 700 units of this product?
$C(x)=950+5(x-600)$

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Chapter 19 · 2025.12 : B-C(analysis included) · MATH 2

The table shows three values of x and their corresponding values of f(x), where f(x)= $\frac {kx+63} {x+5}$ and k is a constant.What is the value of k?

$x$	$f(x)$
-33	6
-9	0
23	8

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MATH 2 · 22 questions