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Write a comparison sentence to represent this equation 6×7=42.

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An automaker produces a car that can travel 40 miles on its charged battery before it begins to use gas. Then the car travels 50 miles for each gallon of gas used. A) Represent the relationship between the amount of gas used and the distance traveled using a table and an equation. B) Is the total distance traveled a function of the amount of gas used? What are the independent and dependent variables? Explain

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The distance, d, in kilometres, travelled by a plane after t hours can be represented by d(t)=-4t³=40t²+500t, where t is greater than or equal to 0 and less than or equal to 10. How long does the plane take to fly 4088 km?

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Write two equations for two perpendicular lines that have the same y-intercept and do now pass through the origin.

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Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x² – 4 into the quadratic formula?

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Years- 2000| 2001| 2002| 2003| 2004| 2005| 2006| 2007| 2008| 2009 Population- 1605| 1728| 1776| 1903| 2072| 2050| 2141| 2150| 2318| 2363 a. Make a scatter plot of the data, draw a line of best fit, and then find the equation of the line of best fit. Show and explain your work. b. Describe what the slope of the line of best fit represents. c. Use the equation to predict the population in the year 2013. Show your work.

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Help if possible. A box is to be formed by cutting square pieces out of the corner of a rectangular piece of a 3″ x 5″ notecard as shown below. The sides are then folded up to form a box ( see attachment). a)Write the function that expresses the area of the bottom of the box as a function of the length of the side of one of the square pieces. b)How large should x be in order for the area of the bottom of the box to equal 10 in^2? Round your answer to the nearest hundredth.

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The equation y = 6.3x + 67.4 is the equation of a linear model in a scatter plot comparing the ages of boys between 2 and 10 years old (x) and their average heights in centimeters (y). What is the average height of a 5-year-old boy? 98.9 cm 78.7 cm 67.4 cm 62.4

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Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have? How would you set this as a system of equations?

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Which value is a solution of the equation 5 – 4x = –3 Which value is a solution of the equation 5 – 4x = –3 0 2 -3 1/4 Which ordered pair is a solution of the equation y = 4x (1, 3) (–1, –4) (–4, –1) (1, –4)

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Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply. x = –1.1 x = –2.2 x = 0 x = –10 x = 10

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The equation y = 14x represents the number of pages Printer A can print over time, where y is the number of pages and x is time in minutes. The table shows the number of pages Printer B can print over time. How many pages does each printer print per minute, and which printer prints at a faster rate? Printer A:[ ]pages per minute Printer B:[ ]pages per minute The printer that prints at a faster rate is Printer[ ]. (Type A for Printer A or B for Printer B)

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given the bivariate data: age of person and the amount of money he makes, identify “amount of money he makes” . a) explanatory variable b) response variable

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Of 375 musicians at a high school, some play only in the jazz band, some play only for the marching band, and some do both. If 250 of them play in the jazz band, and 130 play in both, how many of the musicians are in the marching band? a)110 b)100 c)135 d) 255

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Which shows the equation in standard form? 6y – 12 = -3x 3x + 6y = 12 3x – 6y = 12 y = 1/2x + 2 y= 1/2x – 2

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Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude?

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In atleast 150 words, describe how the popularity of works such as ” The Way to Wealth” represented a gradual transformation in American values?

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The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let μ denote the true average reflectometer reading for a new type of paint under consideration. A test of H0: μ = 20 versus Ha: μ > 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (a) n = 14, t = 3.1, α = 0.05 (b) n = 10, t = 1.8, α = 0.01

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5a-2

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When reading the computer output, the regression equation is typically buried among other statistics. The value of the slope is the coefficient of the explanatory variable. The value of the intercept is coeff. of the constant. For the problem, the regression equation is: number of aircraft = 2939.93 + 233.517 * (years since 1990) how do I find the predicted number and the actual number of aircrafts flying in 1922?

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Compare 51.5 hectograms to 51,500 decigrams. How do each of these values compare to a gram and which represents a larger mass?

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Help please A graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 25 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). (a) Find a function that models the volume V of the box. V(x) = 4×3−78×2+350 (b) Find the values of x for which the volume is greater than 240 in3. 0.834 ≤ x ≤ 5.438 (c) Find the largest volume that such a box can have. (Round your answer to three decimal places.)

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When the polynomial mx^3-3x^2+nx+2 is divided by x+3, the reminder is -1. When it is divided by x-2, the reminder is -4. What are the values of m and n?

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The formula for area of a rhombus is A=1/2d1d2, where d1 and d2 are the lengths of the diagonals. Which are equivalent equations? D1=2ad2 D1=2a/d2 D2=d1/2a D2=2a/d1 D2=2ad1

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The speed that a tsunami can travel is modeled by the equation S=356√d , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour A. 0.32 km B. 0.75 km C. 1.12 km D. 3.17 km

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Find the value of each variable. a) x=38,y=76 b) x=52,y=76 c) x=38,y=104 d) x=52,y=104

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The equation y = 43x represents the number of miles Alicia drives over time, where y is the number of miles and x is time in hours. The table shows the number of miles Trish drives over time. How many miles does each woman travel per hour, and who drives at a slower rate? Alicia: miles per hour Trish: miles per hour The woman who drives at a slower rate is . (Type A for Alicia or T for Trish)

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. If a pair of parallel lines are rotated, which is true? A) The lines remain parallel only if rotated 180°. B) The lines remain parallel only if rotated 360°. C) Rotated parallel lines always remain parallel lines. D) Rotating parallel lines result in perpendicular lines.

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The price p (in dollars) and the quantity x sold of a certain product obey the demand equation: x = -20p + 500 where 0

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The value of a particular item can be modeled by P(t) = P0(a)t where P is in dollars and t is the number of years since the item was purchased. Suppose the value of the item increases 5% each year and the item was purchased for $20. (a) Write a formula for P(t) according to the model. P(t) = (b) How fast is the value of the item increasing when t = 25 years? Round your answer to two decimal places.

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