A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?
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- t m n Note: Figure not drawn to scale. In the figure, lines m and n are parallel. If x = 6k+1 3 and y = 8k−2 9, what is the value of z?
−3x+ 21px = 84 In the given equation, p is a constant. The equation has no solution. What is the value of p?
f(x) (x−10) (x+13) = The function f is defined by the given equation. For f(x) what value of x does reach its minimum?
The function f(x) = 1/9 (x −7)^2 +3 gives a metal ball’s height above the ground f(x), in inches, x seconds after it started moving on a track, where 0 ≤ x ≤ 1 0. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?
A fish swam a distance of 5,104 yards. How far did (1 the fish swim, in miles? mile = 1,760 yards)
In triangle JKL, cos(K) = 24/51 and angle J is a right angle. What is the value of cos(L)?
−x^2 + bx−67 6 = 0 In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b?
y 10 8 - 6 -1--l. -,.. - X -1 0 -8 -6 -4 -2-^"-',-- -2-,-4-,--6--8- 10:2 4 6 I 18 10 1 If a new graph of three linear equations is created using the system of equations shown and the (x, y) equation x +4y = −16, how many solutions will the resulting system of three equations have?
- f(x) 5,470(0.64)^x 12 = The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p%of its value the preceding year, what is the value of p?
- Data Set A • • • • • • • • • • • • • • • 22 23 24 25 26 The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?
The equation x^2 +( y −1)^2 = 49 represents circle A. Circle B is obtained by shifting circle A down 2 units in the xy-plane. Which of the following equations represents circle B? ( −2)^2 +( −1)^2 = 49
Two identical rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a cm 2 square, and the surface area of each prism is K. If the prisms are glued together along a square base, 2 K cm the resulting prism has a surface area of 92/47. What is the side length, in cm, of each square base?
210 is p% greater than 30. What is the value of p? OP
Which expression is equivalent to 12x^3 −5x^3?
x+y = 18 5y = x What is the solution (x,y) to the given system of equations?
(8, 2) The point in the xy-plane is a solution to which of the following systems of inequalities?
x−5_I = 10 1 What is one possible solution to the given equation?
() f x = 7x+1 The function gives the total number of people on a company retreat with xmanagers. What is the total number of people on a company retreat with 7 managers?
h(x) = x^2 −3 Which table gives three values of xand their h(x) corresponding values of for the given function h?
The function f is defined by f(x) = 270(0.1)^x. What is the value of f(0)?
The following text is from the 1913 story “The King’s Coin” by Emily Pauline Johnson, a Kanienkahagen (Mohawk) writer also known as Tekahionwake. Fox-Foot, a young Ojibwe man, is guiding a group of fur traders who are traveling by canoe and suspects that they are being followed. At supper time, Fox-Foot would fire to be built, no landing to be made, no trace of their passing to be left. They ate canned (allow no)/meat and marmalade, drank again of the stream and pushed on, until just at dusk they reached the edge of a long, still lake, with shores of granite and dense fir forest. As used in the text, what does the word “trace” most nearly mean?
Changes to vegetation cover and other human activities influence carbon and nitrogen levels in soil, though how deep these effects extend is unclear. Hypothesizing that differences in land use lead to differences in carbon and nitrogen levels that are not restricted to the topsoil layer (0–30 cm deep), Chukwuebuka Okolo and colleagues sampled soils across multiple land-use types (e.g., grazing land, cropland, forest) within each of several Ethiopian locations. They found, though, that across land-use types, carbon and nitrogen decreased to comparably low levels beyond depths of 30 cm. Which choice best describes the overall structure of the text?
Recently, scientists looked at data collected by NASA’s InSight lander to learn more about seismic activity on Mars, known as marsquakes. The data show that the marsquakes all started from the same location on the planet. This discovery was surprising to scientists, as they expected that the marsquakes would originate from all over the planet because of the cooling of the planet’s surface. Now, scientists believe that there could be areas of active magma flows deep beneath the planet’s surface that trigger the marsquakes. According to the text, what was surprising to scientists studying the seismic activity data from NASA’s InSight lander?
The ancient writing system used in the Maya kingdoms of southern Mexico and Central America had a symbol for the number zero. The earliest known example of the symbol dates to more than 2,000 years ago. At that time, almost none of the writing systems elsewhere in the world possessed a zero symbol. And the use of zero in Mexico and Central America may be even more ancient. Some historians suggest that Maya mathematicians inherited it from the Olmec civilization, which flourished in the region 2,400–3,600 years ago. According to the text, what do some historians suggest about Maya civilization?