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Question 1205623: Given the function f(x) = 1/x and g(x) = 1/x-1 , determine the equation for h(x) =f(x)÷ g(x). And state the domain of h(x)
Click here to see answer by math_tutor2020(3816)

Question 1205607: Let f(x) = (9x^2 + 4)/(2x+1)(x-2)^2
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^3 and higher powers to be neglected, f(x) = 1-x+ 5x.
Click here to see answer by Edwin McCravy(20054)

Question 1205649: 2. Marissa then pulls the pocket back 18 inches and launches Marble A in the same direction and at the same angle as before. Will the marble travel farther than before? Explain why or why not. (this is already answered. Just answer the one below please!)
3. Next, Marissa puts Marble B in the slingshot. She pulls the pocket back 18 inches, keeping the direction and angle the same as before, and releases it. Will Marble B travel farther than Marble A did in the previous launch? Explain why or why not. Also Marble B is bigger than Marble A.
Click here to see answer by ikleyn(52747)

Question 1205606: Let f(x) = [(6+7x)/(2-x)(1+x^2)]
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^4 and higher powers to be neglected, f(x) = 3 + 5x - (1/2 x^2) - (15/4 x^3)
Click here to see answer by ikleyn(52747)

Question 1205605: Let f(x) = (6+7x)/(2-x)(1+x^2)
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^4 and higher powers to be neglected,
f(x) = 3 + 5x - (1/2 x^2) - (15/4 x^3)

Click here to see answer by ikleyn(52747)

Question 1205603: Let f(x) = (6+7x)/(2-x)(1+x^2)
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^4 and higher powers to be neglected,
f(x) = 3 + 5x - (1/2 x^2) - (15/4 x^3)

Click here to see answer by ikleyn(52747)

Question 1205602: Let f(x) = [(6+7x)/(2-x)(1+x^2)]
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^4 and higher powers to be neglected,
f(x) = 3 + 5x - (1/2 x^2) - (15/4 x^3)
Click here to see answer by ikleyn(52747)

Question 1205662: If l=wh/a(w+p)make w subject of the formula
Click here to see answer by MathLover1(20849)

Question 1205667: at a baseball game, my family purchased 10 hot dogs at the end of the game 3 1/4 hot dogs were left
Click here to see answer by ikleyn(52747)

Question 1205671: By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made (see the accompanying figure). If the cardboard is l = 16 in. long and w = 9 in. wide, find the dimensions of the resulting box if it is to have a total surface area of 128 in.2

Click here to see answer by Theo(13342)

Question 1205708: $90,000 is divided between Mary, Bob and Karl, so that Karl's share is ⅜ of Bob's and Bob's share is twice that of Mary. How much does Karl receive?
Click here to see answer by josgarithmetic(39613)

Question 1205709: A group of market women sell at least one of the following items of food stuffs. Yam,corn,and plantain.18 of them sell corn,17 sell yam and 19 sell plantain.8 sell plantain and corn and 12 sell yam and plantain and 5 sell all the food stuffs.Draw a venn diagram to illustrate the information above.Find the total number of women in the group.Find the total number of women who sell one of the food stuffs.
Click here to see answer by ikleyn(52747)

Question 1205769: a.) How many 6 letter arrangements are possible if TT must be grouped together using the lerters MATTER
b.) How many 6 letter arrangments are possible if MTTR must be together using the letters MATTER
Click here to see answer by math_helper(2461)

Question 1205828: Given: y=2x-3
Find the y-intercept.
Find the x-intercept.
Find The Slope.
Graph your equation.
Draw a line parallel to your given line.
What is the equation of the line you drew?
Explain how you know the line you drew is parallel to your given line.
Draw a line perpendicular to your given line.
What is the question of the line you drew?
Explain how you know the line you drew is perpendicular to your given line.
Click here to see answer by MathLover1(20849)

Question 1205830: What is the percent that the length of pregnancy will be between 283 and 223 days.
A) 84% B) 68% C) 97% D) 76%
Click here to see answer by ikleyn(52747)

Question 1205839: Given the equation 4x-2y=12
What is the slope of this line?
What is the y-intercept?
What is the x-intercept?
Any line parallel to this line will have a slope of.
Any line perpendicular to this line will have a slope of.
Determine if the ordered pair (1,-1) is a solution for the equation x-y=0.
Find the equation of the line containing the points (2,6) and (5,4).
Find the equation of the line passing through (7,8) and has an undfined slope.
Click here to see answer by Theo(13342)

Question 1205849: Evaluate
5^(-3log₅2) × 2^(2log₂3)
Click here to see answer by MathLover1(20849)

Question 1205849: Evaluate
5^(-3log₅2) × 2^(2log₂3)
Click here to see answer by Theo(13342)

Question 1205849: Evaluate
5^(-3log₅2) × 2^(2log₂3)
Click here to see answer by Edwin McCravy(20054)

Question 1205857: Find x,
(7 + √x)^⅓ + (7 - √x)^⅓ = 2
Click here to see answer by ikleyn(52747)

Question 1205876: Write this number in scientific notation. Use an asterisk (*) for a multiplication symbol. 26,100
Click here to see answer by josgarithmetic(39613)

Question 1205958: Concentrated acid costing 90 c per litre is diluted with water in the ratio 1:5 by volume. The diluted acid is sold at 24 c per litre. What is the percentage profit?
Click here to see answer by mananth(16946)

Question 1205960: Use the data entry method in your scientific calculator to enter the following measurements.
(6, 11), (8, 7), and (7, 9).
Recall the proper memories to find the correlation coefficient, r.
r =
Recall the proper memories to find the y-intercept, a, of the line.
a =
Recall the proper memories to find the slope, b, of the line.
b =

Click here to see answer by Edwin McCravy(20054)

Question 1205981: x^logy . y^logx = 36
Find logy . logx
Click here to see answer by MathLover1(20849)

Question 1205962: Use the given set of bivariate data.
x 1 2 3 4 5 6
y 5.7 4.7 4.6 3.8 3.3 2.8
Calculate the covariance
sxy.
sxy
=
Calculate the correlation coefficient r. (Round your answer to four decimal places.)
r =
Calculate the equation of the regression line. (Round your numeric values to three decimal places.)
y =

Click here to see answer by ikleyn(52747)

Question 1205961: Use the given set of bivariate data.
(3, 7) (5, 9) (2, 7) (1, 6) (4, 8) (4, 7)
Calculate the covariance
sxy.
(Round your answer to five decimal places.)
sxy
=
Calculate the correlation coefficient r. (Round your answer to four decimal places.)
r =
Calculate the equation of the regression line. (Round your numeric values to three decimal places.)
y =

Click here to see answer by ikleyn(52747)

Question 1206031: Use the data entry method in your scientific calculator to enter the following measurements.
x 1 2 3 4 5 6
y 5.5 4.4 4.3 3.6 3.0 2.5
Recall the proper memories to find the correlation coefficient, r. (Round your answer to four decimal places.)
r =
Recall the proper memories to find the y-intercept, a, of the line. (Round your answer to three decimal places.)
a =
Recall the proper memories to find the slope, b, of the line. (Round your answer to three decimal places.)
b =

Click here to see answer by Theo(13342)

Question 1206168: Two cold tablets are unintentionally put in a box containing three aspirin tablets, that appear to be identical. One tablet is selected at random from the box and swallowed by the first patient. The second patient selects another tablet at random and swallows it.
Find the probability of event A, that the first patient swallowed a cold tablet. (Enter your probability as a fraction.)
P(A) =
Find the probability of event B, that exactly one of the two patients swallowed a cold tablet. (Enter your probability as a fraction.)
P(B) =

Find the probability of event C, that neither patient swallowed a cold tablet. (Enter your probability as a fraction.)
P(C) =

Click here to see answer by ikleyn(52747)

Question 1206167: An experiment is conducted at a local supermarket, where shoppers are asked to taste two soft-drink samples—one Pepsi and one Coke—and state their preference. Suppose that six shoppers are chosen at random and asked to participate in the experiment, and that there is actually no difference in the taste of the two brands. (Enter your probabilities as fractions.)
(a)
What is the probability that all six shoppers choose Pepsi?

(b)
What is the probability that exactly one of the six shoppers chooses Pepsi?
Click here to see answer by ikleyn(52747)

Question 1206212: A monkey is given 12 blocks: 3 shaped like squares, 3 like rectangles, 3 like triangles, and 3 like circles. If it draws three of each kind in order—say, 3 triangles, then 3 squares, and so on—would you suspect that the monkey associates identically shaped figures? Calculate the probability of this event. (Round your answer to six decimal places.)
Click here to see answer by ikleyn(52747)

Question 1206228: There are 120 students who took a english exam. Two students earned the same mark as dan, and 45 students earned a higher mark than dan, what was dans percentile rank ?
Click here to see answer by math_tutor2020(3816)

Question 1206227: An airplane starting from airport A,flies 300km east, then 350km 30°west of North, and then 150km north to arrive at airport B. Assuming that there was no wind on that day,
a) determine in what direction should the pilot fly to travel directly from A to B?
b) How far will the pilot fly to travel directly from A to B?
Click here to see answer by Theo(13342)

Question 1206213: Five cards are selected from a 52-card deck for a poker hand.
(a) How many simple events are in the sample space?

simple events
(b) A royal flush is a hand that contains the A, K, Q, J, and 10, all in the same suit. How many ways are there to get a royal flush?
ways
(c) What is the probability of being dealt a royal flush? (Enter your probability as a fraction.)
Click here to see answer by math_tutor2020(3816)

Question 1206245: The failure rate for a guided missile control system is 8 in 1,000. Suppose that a duplicate but completely independent control system is installed in each missile so that, if the first fails, the second can take over. The reliability of a missile is the probability that it does not fail. What is the reliability of the modified missile?

Click here to see answer by ikleyn(52747)

Question 1206244: Suppose that
P(A) = 0.3
and
P(A ∩ B) = 0.06.
Find
P(B|A).
Click here to see answer by Theo(13342)

Question 1206244: Suppose that
P(A) = 0.3
and
P(A ∩ B) = 0.06.
Find
P(B|A).
Click here to see answer by ikleyn(52747)

Question 1206244: Suppose that
P(A) = 0.3
and
P(A ∩ B) = 0.06.
Find
P(B|A).
Click here to see answer by greenestamps(13195)

Question 1206247: Which of the following graph(s) could you use to study the following situations ? (List all posible graphs that apply from : bar graph, pie chart, histogram, stem and leaf plot, dot plot)
A.) What make of cars do students drive ?
B.) How old are students cars ?
C.) How does the price of the canadian dollar change (relative to the U.S. dollar over the year)?
D.) What are the number of medals won by each country participating in the olymipcs ?
E.) Compare the number of forest fires between manitoba and Saskatchewan ?
Click here to see answer by ikleyn(52747)

Question 1206265: A company is considering implementing an investment opportunity in Dodoma. To identify this
opportunity, the company had spent Tshs. 60 million in Research and development. It plans to
carry out the project, which will involve spending Tshs. 800 million to pay for the acquisition of
plant and machinery. The plant and machinery will be acquired from Dar es Salaam and will have
to be shipped to Dodoma at a cost of Tshs 50 million while installation and commissioning cost is
estimated at Tshs. 150 million. The company will also incur a net working capital investment of
Tshs. 200 million, initially.
The project will have a useful life of five (5) years, at the end of which the plant and equipment
will be sold off and it is estimated to fetch Tshs. 300 million. If the project is successfully launched,
it will contribute an additional annual cash flow of Tshs. 1,200 million. The company will also
spend annually Tshs. 800 million in operating costs other than depreciation, interest and tax.
Furthermore, the project will need an injection of Tshs. 150 million as additional working capital
at the end of year 2.
The effective tax rate is 30 percent and it is not expected to change over the project’s life. Plant
and machinery will be depreciated at a rate of 25 percent using a written down value method.
(a)
Using the Net Present Value appraisal method, evaluate the plausibility of the project.
Investors in a similar project demands a return on investment of 15 percent (b) At what
rate would you change your position on the project and why?
(c)
What values would you post in the company’s books of accounts for plant and machinery
each year beginning from year zero (0)
Click here to see answer by ikleyn(52747)

Question 1206348: Two chords and a diameter form a triangle inside a circle. The radius is 5cm and one chord is 2cm longer than the other. Find the perimeter and area of the triangle
Click here to see answer by ikleyn(52747)

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