A geologist measures the temperature T (in C) of the soil at various depths below the surface and finds that at a depth of x cm, the temperature is given by T =0.08x - 4. (a) What is the temperature at a depth of 1 m (100 cm)?(b) Sketch a graph of the linear equation.(c) What do the slope, the x-intercept, and T-intercept of the graph represent?
A geologist measures the temperature T (in C) of the soil at various depths below the surface and finds that at a depth of x cm, the temperature is given by T =0.08x - 4.
(a) What is the temperature at a depth of 1 m (100 cm)?
(b) Sketch a graph of the linear equation.
(c) What do the slope, the x-intercept, and T-intercept of the graph represent?
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: A geologist measures the temperature T (in C) of the soil at various depths below the surface and…
A: Given: A geologist measures the temperature as a function of depth 'x' cm: Tx=0.08x-4
Q: A geologist measures the temperature T (in °C) of the soil at various depths below the surface and…
A: T = 0.09x − 6. x is in cm and T is in °C
Q: 2) Find an equation for the slope of the graph of y=x²+2x at any point.
A: Click to see the answer
Q: Suppose that notebooks may be bought in bulk. If you can avail the first 100 notebooks at P15 each,…
A: Suppose we bought x note books and price of x note books is ₱y. Then we can write equation…
Q: Suppose that notebooks may be bought in bulk. If you can avail the first 100 notebooks at P15 each,…
A: Suppose we bought xx note books and price of xx note books isy₱y. Then we can write equation…
Q: The graph of linear equation x+2y = 2, cuts the y-axis at:
A: Given linear equation is x+2y=2.
Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…
A: Given that a line passes through (x1, y1) and has a slope m
Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…
A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…
Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…
A: We have to find the point-slope equation of a non-vertical line with slope m that passes through the…
Q: Step 3 Substitute the slope and the point (0, 710) into the point-slope form y-Y1 m(x-x1), to write…
A: Click to see the answer
Q: Biologists have noticed that the chirping rate of crickets of a certain species is related to…
A: Click to see the answer
Q: Biologists have noticed that the chirping rate of crickets of a certain species is related to…
A: Click to see the answer
Q: (b) Estimate the slope of the graph at points (x1, Y1) and (x2, y2). (x1, Y1) (X2, Y2) 4- x1, y1) -4…
A: Click to see the answer
Q: Given the points (0,1) and (2,0) how would you find the slope intercept form?
A: Click to see the answer
Q: Biologists have noticed that the chirping rate of crickets ofa certain species is related to…
A: a.) Let us start by assuming T is the temperature and N is the number of chirps per minute. Now a…
Q: A researcher monitoring the power from the solar panels on a Mars lander has developed a linear…
A: Click to see the answer
Q: Find the equation of the line in standard form with slope m = which passes through the point (1,).…
A: Topic - equation of line
Q: A cleaning company has a fixed monthly cost of $700. Variable cost of $8 per service call. (A)…
A: Given:
Q: Find the slope of the graph of y = (3x - 1)3 - 4(3x - 1)2 at x = 0.
A: Slope of a graph at a point is determined by the value of the first derivative at that point. For…
Q: Suppose the number of people y (in hundreds) employed as asteroid miners can be estimated by the…
A: We have to graph this line
Q: 1. Determine the equation of the line whose slope is -4 and the line crosses the y-axis at (0,-2/3).
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 1. Determine the equation of the line whose slope is -4 and the line crosses the y-axis at (0,…
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: Find an equation of the graph that passes through the point and has the given slope. (Enter your…
A: Equation of straight line is given by y = mx + c where m is the slope and c is the y intercept.
Q: A hot air balloon is hovering 84 meters above the ground and begins to ascend at a rate of 9 meters…
A: Click to see the answer
Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5181 and 80 golf clubs per…
A: Given query is to find the the linear equation for the cost of the golf clubs per day.
Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis
A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…
Q: 6. Find the slope and y-intercept of the equation of the line. y = -3x + 8
A: Answer is Slope is -3 and 8 is the y-intercept of the equation.
Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis
A: Click to see the answer
Q: A study of the mail survey response rate patterns of people aged 60-90 found a prediction equation…
A: According to the provided information, The linear equation is: Y=90.2 - 0.6 X Where, 90.2 is the…
Q: Summarize the effects of m and b on the graph of a linear equation.
A: Click to see the answer
Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $4643 and 60 golf clubs per…
A: 50 golf clubs per day at a total daily cost of $464360 golf clubs per day at a total daily cost of…
Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)
A: Click to see the answer
Q: Find the equation of the line perpendicular to the graph of y = x - 6 that has an x intercept of 2.
A: Click to see the answer
Q: Find the equation of the line perpendicular to y = 3x + 4 with an x-intercept numerically equal to…
A: Click to see the answer
Q: Entomologists have discovered that a linear relationship exists between the rate of chirping of…
A: Let the equation giving linar relationship between air temperature x and number of chirps per min y…
Q: find an equation of the graph that passes through the point and has the given slope (0,4) y'=x/6y
A: Click to see the answer
Q: Find the equation of the line parallel to the line y= 4x+3 and passes through the point (0,2)
A: This question is based on equation of line.
Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5169 and 60 golf clubs per…
A: This question is related to line. We will sovle this question by comparing standard form of lines.…
Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5411 and 80 golf clubs per…
A: Given: A plant can manufacture 50 golf clubs per day at a total daily cost of $5411 and 80 golf…
Q: Determine the slope of the graph of 3(x2 + y2)2 = 100xy at the point (3, 1).
A: Given: 3x2+y22=100xy we know that slopem at given pointx1,y1 is given by m=dydx|x1,y1 so, we…
Q: A baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $12, the…
A: Click to see the answer
Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…
A: Solve
Q: What is the formula for finding the slope? What is the formula for finding the y - intercept? What…
A: 1) Formula of a slope: Slope m of a line if two points x1,y1 and x2,y2 are given is, m=y2-y1x2-x1…
Q: Find the point(s) on the graph of y = (x^2 + 3x − 1)/x where the slope is 5
A: Click to see the answer
Q: A reporter collected data on y, the current market value, in dollars, of a certain car for various…
A: The general equation of line is y=mx+c where m is the slope of the line and c is the y-intercept.
Q: (d) In 2006, 60.1 percent of registered voters actually voted. In 2008, 61.6 percent of registered…
A: Click to see the answer
Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $8 the…
A: Click to see the answer
Q: What is the equation of the line perpendicular to the y = -1/2x + 5 that passes through the point…
A: An equation of a straight line is an equation of the form ax+by=c. An equation of a line can be…
Q: A baseball team plays in a stadium that holds 70,00 spectators. With the ticket price at $9 the…
A: Let x be the ticket price and y be the attendance.It is given that attendance is linearly related to…
Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $8 the…
A: Click to see the answer
