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Question 1163494: Miss Sofia spent ¼ of her monthly income at a shopping mall, 1/3 at an open market and 2/5 of the remaining amount at mechanic workshop. If she had GH¢ 225,000 left. Find
(a) Her monthly income
(b) The amount spent at the open market.
Note: GH¢ stands for Ghana Cedis
Click here to see answer by Boreal(15235)

Question 1163472: Two points X and Y, 7 metres apart are on the same horizontal ground. The angles of elevation of a point P from X and Y are 50° and 70° respectively. Q is a point on XY produced such that ∠YQP = 90°.
(i) Illustrate the information in a diagram.
(ii) Calculate, correct to two decimal places, the length
(α) XP
(β) YQ
Click here to see answer by solver91311(24713)

Question 1163544: Provide an algebraic example of a function so that f ' (2) = 0 but f '' (2) > 0
Click here to see answer by ikleyn(52751)

Question 1163540: Consider the cubic function . Determine the values of a, b, c, and d so that all of the following conditions are met.
a. f '(-1) = 1, f '(0) = -2
b. 𝑇ℎ𝑒𝑟𝑒 𝑖𝑠 𝑎 𝑝𝑜𝑖𝑛𝑡 𝑜𝑓 𝑖𝑛𝑓𝑙𝑒𝑐𝑡𝑖𝑜𝑛 𝑎𝑡 (1,0)
c. 𝑇ℎ𝑒 𝑦 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛 𝑦 = 𝑓(𝑥) 𝑖𝑠 (0, −3)
Find the constants 𝑎, 𝑏, 𝑐, d
Thank you.
Click here to see answer by ikleyn(52751)

Question 1163542: .
a. Determine all values of x where f ' (x) = 0
b. Determine the intervals of increase and decrease for the above function
c. Determine local max(s) and local min(s) f possible.
Thank you.
Click here to see answer by solver91311(24713)

Question 1163582: Given the following diagram for a continuous function. Answer true or false for the following statements
When x = 2, f(x) = 6, f '(x) = 2, f ''(x) = -8
When x = 4, f(x) = 12, f '(x) = 0, f ''(x) = -1
When x = 6, f(x) = 15, f '(x) = 3, f ''(x) = 0
When x = 8, f(x) = 20, f '(x) = 4, f ''(x) = 5
When x = 10, f(x) = 25, f '(x) = 2, f ''(x) = 6
a. 𝑓(𝑥) has a local min at x = 8
b. 𝑓(𝑥) has a local max at x= 4
c. 𝑓(𝑥) has a point of inflection at x = 6
d. 𝑓(𝑥)is increasing on the interval [2, 10]
e. 𝑓(𝑥) has a POI on the interval 6 < x < 10
Determine whether each statement is true or false.
Thank you.
Click here to see answer by solver91311(24713)

Question 1163543: Provide a sketch of any function that has the following properties
a. x intercepts at: (-3,0), (0,0), (4,0)
b. Concave up on the intervals (−∞, 0)𝑈(1,2)
c. Concave down on the intervals(0,1)𝑈(2, ∞)
d. Local min at (-2,-4)
e. Local max at (2,5)
f. Point of inflection at (1,3)
Thank you.
Click here to see answer by greenestamps(13195)

Question 1163627: Classify what subsets -4 belong to. (Natural, Whole, Integers, Rational)

Click here to see answer by solver91311(24713)

Question 1163627: Classify what subsets -4 belong to. (Natural, Whole, Integers, Rational)

Click here to see answer by ikleyn(52751)

Question 1163660: Chris pulls a sled 153m by exerting a constant force of 225N at a constant angle of 65° to the level ground. Find the work done in pulling the sled.

Click here to see answer by solver91311(24713)

Question 1163661: A box weighing 415N is hanging from two chains attached to an overhead beam at
angles of 56° and 49°. Find the magnitude of the tension in each chain algebraically.
Click here to see answer by ikleyn(52751)

Question 1163662: The nose of a plane is pointing west with an airspeed of 350 km/h. The plane’s
resultant ground velocity is 315km/h [S75°W]. Determine the speed and direction of the wind. Include a labeled diagram with your solution.
Click here to see answer by solver91311(24713)

Question 1163664: . Determine the value(s) of k such that the angle between the vector
a = (1, 1, k) and b = (1, 0, 1) is 45°.
There are little arrows above vectors a and b.. Thank you.
Click here to see answer by ikleyn(52751)

Question 1163622: 5.An educational startup that helps MBA aspirants write their essays is targeting individuals who have taken GMAT in 2012 and have expressed interest in applying to FT top 20 b-schools. There are 40000 such individuals with an average GMAT score of 720 and a standard deviation of 120. The scores are distributed between 650 and 790 with a very long and thin tail towards the higher end resulting in substantial skewness. Which of the following is likely to be true for randomly chosen samples of aspirants?
A.The standard deviation of the scores within any sample will be 120.
B.The standard deviation of the mean of across several samples will be 120.
C.The mean score in any sample will be 720.
D.The average of the mean across several samples will be 720.
E.The standard deviation of the mean across several samples will be 0.60
Click here to see answer by Boreal(15235)

Question 1163663: Determine the value(s) of x such that the area of the parallelogram formed
by the vectors a = (x + 1, 1, −2) and b = (x, 3, 0) is 41.
There are little arrows above vectors a and b. I just dont know how to type them in. Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 1163685: Three numbers whose product is 64 are 2, 4,
and 8 because 2 x 4 x 8 = 64.
a. Find three numbers whose product is 2.4.
b. Find another set of three numbers whose
product is 2.4.
c. Find three numbers whose sum is 2.4.
d. Find another set of three numbers whose
sum is 2.4.

Click here to see answer by Edwin McCravy(20054)

Question 1163715: If a.b = 6, what is b.a equal to from the following choices?
a. 8
b. −8
c. 4
d. 2
Note that a.b and b.a are corresponding to the dot product. Thank you.
Click here to see answer by ikleyn(52751)

Question 1163719: Given u = (2, 4, −3), v = (3, −1, 7), and i,j, k being the standard basis vector, find and provide solutions:
a. v − u + 3k
b. u.v
c. u*v
Note: u.v is dot product and u*v is cross product.
Click here to see answer by Alan3354(69443)

Question 1163714: AB is the vector from the point (1,2) to the point (3,4).What the magnitude of this vector from the following choices.
a.
b. 2
c. 8
d. 2
Click here to see answer by Alan3354(69443)

Question 1163716: For which a value will the vector (1, a, a + 1) be perpendicular to the vector
(−3, 1, a)?
a. −1
b. -3
c. 3
d. 0
Thank you.
Click here to see answer by ikleyn(52751)

Question 1163718: A force of magnitude 5 N acts on an object. A second force of magnitude 7 N acts at 50° to the other force. What is the magnitude of the resultant of these two forces? Choose from the following optons.
a. 8.60 N
b. 10.91 N
c. 11.60 N
d. 12.00 N
Thank you.
Click here to see answer by solver91311(24713)

Question 1163759: Differentiate the following with respect of x
a) e^sinx
b)e^cos3x
c)5e^2x
Click here to see answer by ikleyn(52751)

Question 1163771: 1)Find d/dx sin(a+x),first by using the chain rule and secondly by using the addition formula to expand sin(a+x)before differentiation. Verify that get the same answer by both methods.
2)Find d/dx cos(3/2 pai-x).Check your answer by simplifying cos(3/2 phi-x) before you differentiation, and sin(3/2 pai -x) after you differentiation.
3)Show that d/dx (2cos^2 x),d/dx(-2sin^2 x) and d/dx cos2x are all the same.Explain why.
Click here to see answer by Alan3354(69443)

Question 1163787: Find the square root of 36+7√5

Click here to see answer by Edwin McCravy(20054)

Question 1163786: Find the square root of 36-7√5

Click here to see answer by Edwin McCravy(20054)

Question 1163879: Find the 7th of the Fibonacci sequence -1/3, 2/3
Click here to see answer by solver91311(24713)

Question 1163950: Your business is debuting a new product to be sold at $14.99 per unit. Your business produces this product at a cost of $8.50 per unit. Your goal is to make $150,000 in profit from this product in the next year. How could you model this situation with an equation and a graph to “sell”
Click here to see answer by ikleyn(52751)

Question 1163979: Let f(x) = sin (ax+b) and let g(x) =cos(ax+b) where a and b are
constants. Gues a formular for f^n(x) and for g^n(x) general n (positive
integer )
Click here to see answer by solver91311(24713)

Question 1163998: A point with coordinates (x,y) moves along the curve in such a way that
the rate of increase of x has the constant value 0.03 units per second. Find
the rate of increase of y at the instant when x = 1.
Click here to see answer by ikleyn(52751)

Question 1163999: The function f : x ı→ a + b cos x, is defined for 0 ≤ x ≤ 2π. Given that
f(0) = 10 and that f (2/3π)= 1 , find
(i) the values of a and b,
(ii)the range of f,
(iii) the exact value of f(5/6π)

Click here to see answer by ikleyn(52751)

Question 1163978: There is a Covid - 19 Pandemic in the world. This appeared in Ghana
and affected 5 people. Corvid - 19 affects 2 people a day. How long
does it take for there to be 1,000,000 covid - 19 affected people in
Ghana also how many covid - 19 people will there be on day 8 ?

Click here to see answer by Alan3354(69443)

Question 1164024: Paper cups are sold in packages of 6, and napkins are sold in packages of 8. Ted wants to buy the same number of each. What is the least number of cups and napkins he needs to buy?

Click here to see answer by ankor@dixie-net.com(22740)

Question 1164072: Your friend claims you can use the change - of - base to write the
expression (In x) as a common logarithm. Is your friend correct?
Explain your reasoning.
Click here to see answer by ikleyn(52751)

Question 1164122: The position function a particle is given by s(t)= 3t^2 -t^3,t ≥0
When does the particle reach a velocity of 0m/s?
When does the particle have acceleration of 0m/s^2?
Click here to see answer by solver91311(24713)

Question 1164140: The difference of two unit fractions is one third of their sum. Find ratio of the larger fraction to smaller fraction ....A fraction sum ..
Click here to see answer by math_helper(2461)

Question 1164222: A beam of electrons is accelerated through a potential difference of 10kV before entering a region having uniform electric and magnetic fields that are perpendicular to each other and perpendicular to the direction in which the electron is moving. If the magnetic field in this region has a value of
0.010T,calculate the magnitude of the electric field is required if the particles are to be undeflected as they pass through the region.
Click here to see answer by solver91311(24713)

Question 1164295: stion 4
a) The function f : x ı→ a + b cos x, is defined for 0 ≤ x ≤ 2π. Given that
f(0) = 10 and that = f(2(π)/3)=
1 , find
(i) the values of a and b,

Click here to see answer by solver91311(24713)

Question 1164219: An electron is moving with a speed of 3.5×10^5 m/s when it enounters a magnetic field of 0.60T.The direction of the magnetic field makes an angle of 60◦ with respect to the velocity of the electron. What is the magnitude of the magnetic force on the electron?
Click here to see answer by ikleyn(52751)

Question 1164332: Suppose that y=5x+1 and it is required that y be within 0.004 units of 9. For what values of x will this be true
Click here to see answer by ikleyn(52751)

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