03/23/21

Write an equation of the line that passes through (4,1) and is perpendicular to the line -2x+y=12

the equation of the line is y=?x+?

03/22/21

A manufacturer can produce 4860 cell phones when x dollars is spent on labor and y dollars is spent on capital. The equation that relates x and y is (90x^3/4)(y^1/4)=4860.

a. Find a formula in terms of x and y for dy/dx.b. Find the value of dy/dx at the point (81,16).

Calculus 1 Question concerning Concavity

Give an example showing that a function can be concave up on its entire domain and yet never achieve a minimum value.

03/22/21

Suppose $5,000 was invested with a APR of 4% compounded monthly for a period of 20 years.

What difference would there be in the final value of the investment if the interest was invested continuously instead of monthly?

03/22/21

Write the polynomial function of the nth degree

N=3 x=-1x=4+i

03/22/21

Rewrite 74 = 2,401 as a logarithmic equation.

Rewrite 74 = 2,401 as a logarithmic equation.

03/22/21

Geometry of Solids Riddle

There are two cubes, each with integer-length sides with this relationship: their combined volumes has the same numerical value as their combined lengths. Find the length of the sides of each cube. more

03/22/21

Prove that 0.5(y2−x2)≤y(y−x) and 0.5(y2−x2)≥x(y−x)

Let 0≤a<b and consider the function h(x)=x on [a,b]. Prove that for any 0≤x≤y we have 0.5(y2−x2)≤y(y−x) and 0.5(y2−x2)≥x(y−x)

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers.

Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?A. B. C. D. 

03/22/21

Find the probability

Find the probability . A bag contains three red marbles and three blue marbles . You randomly pick a marble and then return it to the bag before picking another marble. The first marble is red and... more

03/22/21

what is the value of cos(a-b)

if cos A= 60/61 and tan B= 12/35. What is the value of cos(a-b)?

03/22/21

Prove indirectly using paragraph form:

If x = 2, then 3x – 5 ≠ 10

Please help me a algebra polynomial exercise.

A rectangular park is 6x + 2 ft long and 3x + 7 ft wide. In the middle of the park is a square turtle pond that is 8 ft wide. What expression represents the area of the park not occupied by the... more

03/21/21

Please help! !

A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population growth of the new specifies is modeled by P(x) = 6(b)^x, where x is the time in weeks... more

03/21/21

How far in feet has each of the midsections been raised?

A drawbridge that is 78 ft in length is raised at its midpoint so that the uppermost points are 6 ft apart.How far in feet has each of the midsections been raised?

03/21/21

please help me with is algebra 2 question.

solve. Leave your answer(s) as fractions or or round two decimal places.(3x+2) to the 2/3 power= 4 i know the answer is 2 but could it be 2 and -2. Because it is plus or minus??? please help

Graph the vectors.

u = 2i - 4jv = 9i + 3jTop Left: A, Top Right: B, Bottom Left: C, Bottom Right: D Find the degree measure of the angle 𝜃 between the vectors. (Round your answer to two decimal places.)𝜃 =... more

Find two vectors in opposite directions that are orthogonal to the vector u. (There are many correct answers.)

u = <-1,1>terminal point in Quadrant I v = terminal point in Quadrant IIIv =

Find the value of k so that the vectors u and v are orthogonal.

u = 30i + 6jv = 5i - kjk = ______

Use the dot product to find the magnitude of u.

u = <4,-4>||u|| = ______

Find the dot product of u and v.

u = 6i + 3jv = -2i + 3ju · v = _______

03/21/21

I really need help with this question. Can someone please help me?

Find the distance from point P(-6, -1) to the line x = 13.

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