05/08/23

Can someone explain?
The cost, in dollars, of producing x feet of track lighting is given by the following function of C(x) = 0.0003x3 − 0.002x2 + 0.1x + 2,400. What is the marginal cost, the instantaneous rate of... more
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05/08/23

How many students should you sample?
The SAT scores are distributed with a mean of 1500 any standard deviation of 289. You’re interested in estimating the average SAT score a First your students at your college if you would like to... more
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05/07/23

A paddle boat can move at a speed of 6 ​km/h in still water. The boat is paddled 18 km downstream in a river in the same time it takes to go 9 km upstream. What is the speed of the​ river
A paddle boat can move at a speed of 6 ​km/h in still water. The boat is paddled 18 km downstream in a river in the same time it takes to go 9 km upstream. What is the speed of the​ river
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05/07/23

What is f(5)x if f(x)= 3ln(x)?
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05/07/23

What is d squared y over dx squared of the equation y = ln(x3) − sin(2x)?
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05/07/23

Plz show step to step.

If f(x) is a twice-differentiable function such that f(2) = 2 and dy/dx=6 times the square root of the quantity x squared + 3 times y squared end quantity, then what is the value of d squared y... more
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05/07/23

Write an equation whose graph is a line perpendicular to the graph of y=4 and which passes through the point (2,5).
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05/07/23

Use the functions f(x)=−x2+4 and g(x)=4x+4 to answer parts​ (a)-(g).
Use the functions f(x)=−x2+4 and g(x)=4x+4 to answer parts​ (a)-(g). ​(a) Solve f(x)=0. ​(d) Solve f(x)>0. ​(g) Solve f(x)≥4. ​(b) Solve g(x)=0. ​(e) Solve g(x)≤0. ​(c) Solve... more
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05/07/23

solve the initial value problem
f’(x) = 1/(x^3) + 1/(1+x^2)f(1) = 33I got up to the antiderivative of -1/(2x^2) + tan^-1 (x) + c
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05/07/23

Create an equation for the value of a car in x years. The car's value is $165,000 and depreciates 10% each year from its initial value .

I think I got the wrong answer but I am unsure
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05/07/23

How to find the slope of a tangent line when the X and Ys are multiplied together on the same side?

I have an exam tomorrow and this is one of the problems on the sample questions sheet. I've tried taking d/dx of each variable after putting them on different sides as well as factoring but neither... more
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05/07/23

How do I do this:
645. Find the size of the acute angle formed by the intersecting lines 3x + 2y = 12 and x − 2y = −2, to the nearest tenth of a degree. Do not use the cosine function and only use the sine or... more
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05/07/23

How do I tell whether the point is below or above the line?
640.Show that P = (3.2,6.3) is not on the line 4x−y = 7. Explain how you can tell whether P is above or below the line.
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05/07/23

For what values of x does the following series converge?
∑n=1∞xn/√n
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05/07/23

Calculus of Variations - Lagrange Equation
My instructor has given the question in the image and the sample answer has also been given by him. Image of the question and the instructor's answer:... more
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05/07/23

Find the integral of a fraction

Find , in which  is some arbitrary constant.
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05/06/23

Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?
the answer pls
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05/06/23

Find the probability

At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 29 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their... more
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05/05/23

Given f(x)=-4x^2+3x-11, find f(-4)
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05/05/23

Can someone explain step by step how to solve?
A cruise ship is traveling south, approximately 22mph when it hit a gulf stream flowing east of 4mphA)what is the vector component for the cruise ship?(show work B)what is the vector component for... more
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05/04/23

confidence interval
A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 52 specimens and counts the number of seeds in each. Use her sample results (mean = 47.3, standard... more
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05/02/23

Algebra 1 Question
What is the solution to the equation -2x - 10 = 2/3(x+1)?A. 4B.2C. -4
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05/02/23

2 .f(x)=(54((x^2)-1))/((x^2)+27)
Find increasing/decreasing, concavity, all critical points/maximum and minimum /saddle/IPs, and the graph
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05/02/23

the growth colony of bacteria is given by the differential equation dy/dt = -y which of the following could be an approperiate model for the number t
the growth colony of bacteria is given by the differential equation dy/dt = -y which of the following could be an appropriate model for the number of bactera at time ta) y=3e^tb) y=-1/2y^2c) y=-1d)... more
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05/01/23

two bus lines/arrival times

A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51 randomly selected runs,... more
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