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ere are 1000 mosquitoes initially and 1800 after 1 day, what is the size of the colony after 3 days? How long is it until there are 10,000 mosquitoes?...
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8. Use Greens Theorem to evaluate the line integral positively oriented square with vertices (1, 1). (10p) 9. (a) What does it mean that F Is
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Two cards are drawn at random from a standard 52 card deck without replacement. Find the probability that the second card drawn is a spade, given...
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A retail outlet is offered a discount of 2 1/2% for payment in cash for an invoice of $840. If it accepted the offer, how much was the cash payment?
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A company's bad debt is $7875 which is 2 1/2% of sales. What were the company's sales?
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A truck requires 9 litres of gasoline for 72 kilometers.
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Find the unknown term in the following proportions- n: 9=28:63 and 3/4:t= 5/8:
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In $\triangle PQR$, we have $\angle P = 30^\circ$, $\angle RQP = 60^\circ$, and $\angle R=90^\circ$. Point $X$ is on $\overline{PR}$ such that $\overline{QX}$ bisects $\angle PQR$. If $PQ = 12$, then
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Ellie wants to give her granddaughter a present of $500 saved in a bank account. If Ellie puts $350 in the account which earns an 8% annual interest rate, how long must she wait before the account is
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Population in a country is growing at 2% per year. 10,184,000 people lived there in 1999, how many people will there be in 2002?
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A box with a square base has length plus girth of 108 in. (Girth is the distance quot;aroundquot; the box.) What is the length of the box if its
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In the rhombus ABCD, DAE = 30 degrees. Which is ABC?
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Suppose that you work at the Peacock Blue store for 40 hours over 5 days at a rate of $9.75/hour. You then quit your job. Deductions are FICA (7.65%), federal withholding (12%), and state withholding
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Given z = 3 + 5i and w = -5 + i, evaluate z - w. Evaluate |x| + |y| given that x = -6 and y = 3.
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Write the expression (3 - 4i) + (5 + 9i) in the standard form a + bi.
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down 1. 15x - 11y = 278 7x - 8y = 81 Answer: ( ____ , ? ) down 2. 3x - 10y = 347 3x + y = -38 Answer: ( ?
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whats (x2 +2x +7) + (4x2+x-3) use a vertical format to add or subtract
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graph with full details pi= 8/ 2+5sinx, (2 vertials, center, 2 foci, 2 direction, a,b,c)
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An automobile model is known to sustain no visible damage 25% of the time in 10-mph crash tests. a modified bumper design has been proposed in an effort to increase this percentage. let p denote the p
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Why did i get charged when i emailed to cancel weeks ago? Now what am i going to do about this months overdraft fee?
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An adult female lion requires about 6kg of meat per day and has a gut capacity of about 30kg;which means that, with a full gut at the end of the day,...
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A certain transverse wave is described by y(x,t)=bcos[2π(xl−tτ)], where b = 6.80 mm , l = 30.0 cm , and τ = 3.90×10−2 s .
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17. Let f (x) = 16x 3 + x 3 . Where is f (x) increasing, decreasing, concave up, and concave down?
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= 1500 SD = 200 The scatter diagram is football shaped and r = 0.55 (a) ( 7 points) What is the equation of the regression line for predicting the
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9) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 107 inches, And a standard deviation of 10...
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0. (a) What proportion of lightbulbs last less than 500 hours? (b) What proportion of lightbulbs last longer than 500 hours?
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If one travels at 450 miles per hour and the other at 550 miles per hour, how long will it take for them to be 4000 miles apart?
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Measure the slope and equation of this new line. Investigate: Drag the original line in 3 ways. Drag the perpendicular line by the point on the...
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There are 8 parents and 43 students going on a school trip. Two groups are made, a large one with thirty students and five parents, and a small group...
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Express the point given in cartesian coordinates in spherical coordinates (ρ,θ,ϕ)(ρ,θ,ϕ). note: you really only have to do the work for one, if you use a little geometry and your knowledge of th
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Find a homomorphism S 4 Z 2 which is onto, where Z is the set of all integers.
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What is the mean of casper's average winnings x on his 150,000 bets? give your answer in dollars to 2 decimal places?
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Consider an urn containing 6 white marbles and 4 black marbles. At each step a marble is selected at random from the urn and placed back.
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1. Prove that if Th is of weakly acute type (every angle of every
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3y = 13 and 4x + y = 5. 7. A 12 metre long ag pole has a shadow that is 18 metres in length. How tall is the nearby tree that casts a shadow of 36
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Enrollment projections (in millions) for all U. Let x = 0 correspond to 2000. Fill in the values of x in the table, and then calculate the least...
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A safety light is designed so that the times between flashes are normally distributed with a mean of 2.50s and a standard deviation of 0.40s. a. Find the probability that an individual time is greater
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Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while inside a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He
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If the reserve rate is 4% and a bank, receives a deposit of $12,000, how much of the $12,000 is the Bank free to loan out?
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The sum of two numbers is 68. Five times the smaller number is 16 more than the larger. Find the two numbers.
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Reggie Jackson hit five home runs in the 1977 World Series, which lasted six games. By contrast, Lou Gehrig hot four homeruns in the 1982 World Series, a four-game series. On the average, which baseba
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Jennifer has a taco stand. she has found that her daily costs can be modeled by c(x)=x^2-40x+610, where c(x) is the cost, in dollars, to sell x units of taco. if she wants to keep her daily costs at $
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Identifica que representa cada una de las siguientes ecuaciones: un punto, una circunferencia o el conjunto vació. 1.x2+y2-8x+4y-29=0 2.x2+y2+4y-5=0 3.x2+y2-4x+6y+13=0 4.x2+y2-4x+2y-20=0 5.x2+y2+8x-
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Advanced linear algebra question. For lecture 39, Trefethen and Bau book, can you help me to solve exercise 39.1,and 39.2?
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A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = −16t2 + 16t + 32 Which of the following is a reasonable
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Suppose that it rains in Spain an average of once every14days, and when it does, hurricanes have a9%chance of happening in Hartford.
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The volume of a cone varies jointly as the square of its radius and its height.
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Dr. Black is standing 20 feet from a streetlamp. The lamp is making his shadow 5 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 30. To t
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CD is the perpendicular director of abuse. G is the midpoint of ab. Points e and f lie on CD. Which pair of line segments must be congruent
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Use implicit differentiation to find the slope of the tangent line to the curve: y/x+4y=x^3+4, at the point (1,-15/19).
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