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Chapter 110 · 2023.06 : B · MODULE4

The speed of a white-throated needletail, a type of bird, in flight was measured to be 49 miles per hour. What was the white-throated needletail's measured speed, in kilometers per hour? (Use 1 mile = 1.6 kilometers.)

A30.6B

47.4

C50.6D78.4

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Chapter 110 · 2023.06 : B · MODULE4

Which expression is equivalent to $(3{x}^{3}-{x}^{2}+4)(5{x}^{2}+8x)$ ?

A $15{x}^{5}+{19x}^{4}-8{x}^{3}-20x+32$ B ${15x}^{5}+{19x}^{4}-{8x}^{3}-20{x}^{2}+32$ C ${15x}^{5}+19{x}^{4}-8{x}^{3}-20{x}^{2}+32x$ D $15{x}^{5}+{29x}^{4}-8{x}^{3}-20{x}^{2}+32x$

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Chapter 110 · 2023.06 : B · MODULE4

If 5(x + 1) = 25, what is the value of x + 1?

A4
B5C19D20

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Chapter 110 · 2023.06 : B · MODULE4

The graph shows the estimated concentration of a certain strain of bacteria, y, in millions of cells per mL of nutrient medium, over time x, in minutes since the initial measurement. According to the graph, which of the following is closest to the number of minutes it took for the estimated concentration of the bacteria to increase from 20 million cells per mL of nutrient medium to 30 million cells per mL of nutrient medium?

A15B20C30D35

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Chapter 110 · 2023.06 : B · MODULE4

If ${(x+3)}^{2}=30$ ,what is the value of ${x}^{2}+6x$ ?

A21B30C39D60

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Chapter 110 · 2023.06 : B · MODULE4

y= 5X

y=2x+2

How many solutions does the given system of equations have?

AExactly onevBExactly twoCInfinitely manyDZero

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Chapter 110 · 2023.06 : B · MODULE4

f(x)=|71-2x|

The function f is defined by the given equation. For which of the following values of k does f(k) = 3k?

A71/5B71/2C213/5D71

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Chapter 110 · 2023.06 : B · MODULE4

g(x) = 2(16x - 17)

What is the y-coordinate of the y-intercept of the graph ofy = g(x) - 3 in the xy-plane?

A-37B-34C-20D-17

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Chapter 110 · 2023.06 : B · MODULE4

There is a linear relationship between x and y. The table shows three values of x and their corresponding value of y in terms of a constant n. What is the slope of the line that represents this relationship in the xy-plane?

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Chapter 110 · 2023.06 : B · MODULE4

18x2+24x+c=0

In the given equation, c is a constant. The equation has exactly one solution. What is the value of c?

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Chapter 110 · 2023.06 : B · MODULE4

(×-3)-8(y+9)=129

(x-3)+8(y+9)=432

The solution to the given system of equations is (x, y). What is the value of 8(x - 3)?

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Chapter 110 · 2023.06 : B · MODULE4

The volume of a right rectangular prism with a square base is 2,448 cubic centimeters. If the area of the square base is 144 square centimeters, what is the area, in square centimeters, of one of the four lateral faces of the prism?

A17B204C540D816

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Chapter 110 · 2023.06 : B · MODULE4

y = 5(x-2)2

y = 10(x-2)

A solution to the given system of equations is (x, y). What is one possible value of x + y?

A-20B4C20D24

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Chapter 110 · 2023.06 : B · MODULE4

The graph of the quadratic function y = f(x) in the xy-plane intersects the x-axis when x = 39 and when × = p, where p is a constant. The maximum value of y = f(x) occurs at the point (14, m), where m is a constant. What is the value of p?

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Chapter 110 · 2023.06 : B · MODULE4

$\frac {x+1} {{5x}^{2}}=\frac {k} {x}$

In the given equation, k is a constant. The solution to the given equation is 1/174 What is the value of k?

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Chapter 110 · 2023.06 : B · MODULE4

The area of a triangle is equal to x² square centimeters.The length of the base of the triangle is 2x + 6 centimeters, and the height of the triangle is x - 2 centimeters. What is the value of x?

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Chapter 110 · 2023.06 : B · MODULE4

The function g is a quadratic function. In the xy-plane, the graph of y = g(x) has a vertex at (-1, -4) and passes through the points (-2, -43) and (1, -160). What is the value of g (0) - g (2) ?

A-121B0C117D312

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Chapter 110 · 2023.06 : B · MODULE4

Triangle ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 62°. What is the measure of angle F?

A28°B62C90°D118°

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Chapter 110 · 2023.06 : B · MODULE4

A business consultant charge $408 for the first hour and $204 for each additional hour of work. Which of the following functions gives the charge C(h), in dollars, for h hours of work, where h is a positive integer?

AC(h) = 204h +204BC(h) = 204h +408CC(h) = 408h +204DC(h) = 408h +612

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Chapter 110 · 2023.06 : B · MODULE4

An acceptable noise criterion rating for the background noise in a laundry room is 50. For a noise criterion rating of 50, the equation y = 22(0.997)^x-60 + 47 gives the estimated sound pressure level, y, in decibels, as a function of the octave band center frequency , x , in hertz , where x ≥ 60. Which of the following is the best interpretation of 47 in this context?

A47 is 22 less than the estimated sound pressure level , in decibels, at an octave band center frequency of 60 hertz.B47 is 22 less than the estimated sound pressure level, in decibels, at an octave band
center frequency of 0 hertz.C47 is the estimated sound pressure level, in decibels , at an octave band center frequency
of 60 hertzD47 is the estimated sound pressure level, in decibels, at an octave band center frequency of 0 hertz.

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Chapter 110 · 2023.06 : B · MODULE4

3x +5y = 8

9x + 15y = 24

For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?

A $(r,\, -\frac {5r} {3}+\frac {8} {3})$ B $(r\, ,\, \frac {3r} {5}+\frac {8} {5})$ C $(-\frac {5r} {3}+\frac {8} {3}\, ,r)$ D $(\frac {r} {3}+8\, ,\, -\frac {r} {3}+24)$

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Chapter 110 · 2023.06 : B · MODULE4

In the figure, parallel lines a and b are intersected by lines c, d, and e. If z = 49, y = 136, and v < z, which statement about x and w must be true?

Ax < wBx > wCx = wDx + w = 90

MODULE4 · 22 questions