Truck 1 is 40 km east of Truck 2 and starts to move west at 40 km/h, At the same time, Truck 2 Starts moving north 70 km/h. State the closest distance in km the trucks will be from eachother and at which time in hours, will that distance happen? (Optimization: need equation with one variable, drawing of problem with labelled variables, the critical #’s, the domain/boundary’s if possible, test values using orig equation, and therefore sentence. Didnt use any fancy math methods)

Q: The scatter plot shows the time spent texting, x, and the time spent exercising, y, by each of 24…

A: The approximate best fit line passes through (0,9) and (10,1) So we need to find equation for this…

Q: Find y if the line through (5, 2) and (-3, y) has a slope of -(7/8).

A: Here we have to find the value of y if the line through (5, 2) and (-3, y) has a slope of -(7/8).

Q: Rewrite the equation with the variables separated. hh' = 6t²dt O hdh = 6t dt dh 6t2dt h O 6hdh =…

A:

Q: The curve defined by the function f(x) = ax^3 + bx^2 + 29x - 20 intersects the x-axis at three…

A: The curve defined by the function f(x) = ax^3 + bx^2 + 29x - 20 intersects the x-axis at three…

Q: An rectangular metal box without a top is to be made with panels that are 0.5 inch thick. The inside…

A: let b = width l = length h = height Given each panel has 0.5 inch thicknessso db = dl = dh = 0.5 in

Q: The strength of the linear relationship between two variables may be measured by the Select one:…

A: The correlation coefficient is used to measure the strength of the relationship between the two…

Q: The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each…

A:

Q: A simple curve that often makes a good model for the variable costs of a company, as a function of…

A: Given : a curve that makes a good model for the variable costs of the company and has the form -…

Q: a ticket to the school dance increases by 20% from the original price, p. James and Matt want to…

A: James uses the expression 1.20p The new price is 1.20 times the old price.

Q: (x1,y1)=(4, 2),(x2,y2)=(3, 0),  (x3,y3)= (1, 7) and(x4,y4)=(8,2). Trace these points on graph, also…

A: Let A(4,2) , B(3,0) , C(1,7) , D(8,2)

Q: With a slope of 1/4 and through the point (2,3)

A:

Q: m=--. Find the equation of line passing through point (1, 2) with slope 4

A: Equation of the line with the slope m and passing through the point (x1,y1) is:

Q: The equation for line A is y =z + 4. Suppose line A is parallel to line B and point (-3, 1) lies on…

A:

Q: The sum of two numbers is 8. Find the numbers if the sum of their cubes is to be minimal. The

A:

Q: (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the…

A: The scatter plot shows the time spent watching TV, 'x'  doing homework, 'y' by each of the 24…

Q: Find the missing y value of a line with slope 1/2 and contain the points (6, y) and (4, 10

A: The given points are (6, y) and (4, 10) The slope is 12

Q: In this problem, you are asked to find the best-fit quadratic y = q(x) = ax + br + c through the…

A: Given: General quadratic equation is y=qx=ax2+bx+c The equation is passing through the points -2,2,…

Q: A researcher for a tire company has collected data about the stopping distance in feet for different…

A: The data values are in the range of 59 to 74. As a result, the bottom limit of the range is supplied…

Q: Recall that after identifying the unknowns in the problem, we set up equations describing the…

A: Consider the 2 given tables. Let x be the number of servings of Designer Whey and y be the number of…

Q: 7. Use linear approximation to approximate the value of 63 without the need for a calculator.

A: We can use linear approximation to approximate the value of ³√63.   First, let's choose a point…

Q: Data is collected on the relationship between time spent playing video games and time spent with…

A:

Q: If 2sinθ+6=−3–√+6, where 0≤θ<2π, what are the values of θ? Enter your answer(s) in radians. If…

A: The objective is to find the values of θ.

Q: Passing through the origin (0, 0), there are two lines tangent to the curve y =x + 1, one with…

A: Let (x, y) be the point of tangency on the given parabola. Hence, the tangent passes through the…