Question

rooflop solar panel installations in five cities the number of rooftops with solar - panel installations in 5 cities is shown in the graph above. if the total number of installations is 27,500, what is an appropriate label for the vertical axis of the graph? a) number of installations (in tens) b) number of installations (in hundreds) c) number of installations (in thousands) d) number of installations (in tens of thousands) for what value of n is |n - 1|+1 equal to 0? a) 0 b) 1 c) 2 d) there is no such value of n. questions 9 and 10 refer to the following information. a = 1,052+1.08t the speed of a sound wave in air depends on the air temperature. the formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees fahrenheit (°f). which of the following expresses the air temperature in terms of the speed of a sound wave? a) t=\frac{a - 1,052}{1.08} b) t=\frac{a + 1,052}{1.08} c) t=\frac{1,052 - a}{1.08} d) t=\frac{1.08}{a + 1,052} at which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second? a) - 46°f b) - 48°f c) - 49°f d) - 50°f which of the following numbers is not a solution of the inequality 3x - 5≥4x - 3? a) - 1 b) - 2 c) - 3 d) - 5 number of seeds in each of 12 apples based on the histogram above, of the following, which is closest to the average (arithmetic mean) number of seeds per apple? a) 4 b) 5 c) 6 d) 7

Explanation:

Question 7

Step1: Estimate scale

The total number of installations is 27,500 and we have 5 - city data on the graph. If we assume the vertical - axis label is in hundreds, the sum of the values on the graph could reasonably add up to 27,500. For example, if the values on the graph are in hundreds, and we sum up the heights of the bars for the 5 cities, we can get a total close to 275 (since 275×100 = 27,500).

Step1: Analyze absolute - value property

The absolute - value of a number \(|x|\) is always non - negative, i.e., \(|x|\geq0\) for all real numbers \(x\). For the expression \(|n - 1|+1\), since \(|n - 1|\geq0\), then \(|n - 1|+1\geq1\).

Step2: Determine solution

So, there is no real number \(n\) such that \(|n - 1|+1 = 0\).

Step1: Isolate \(t\)

We start with the equation \(a = 1.052+1.08t\). First, subtract 1.052 from both sides: \(a−1.052=1.08t\).

Step2: Solve for \(t\)

Then divide both sides by 1.08 to get \(t=\frac{a - 1.052}{1.08}\).

Answer:

B. Number of installations (in hundreds)

Question 8