1)Um agricultor estava perdendo a sua plantação em virtude da ação de uma praga. Ao consultar um especialista, foi orientado para que pulverizasse, uma vez ao dia, uma determinada quantidade
de um certo produto, todos os dias, da seguinte maneira:
primeiro dia: 1,0 litro, segundo dia: 1,2 litro, terceiro dia: 1,4 litro e assim sucessivamente.
Sabendo-se que o tratamento durou 30 dias quantos litros desse produto foi utilizado?

2)Uma pessoa tomou a decisão de todos os dias fazer uma caminhada e se programou da seguinte
forma: no primeiro dia, caminharia 1.500 m e, em cada dia subsequente, 700 m a mais do que no dia
anterior.
Passados alguns dias, ela resolveu rever sua programação, tendo em vista que, ao continuar com a
programação inicial, no 20 dia ela deveria caminhar _ e, após essa caminhada, teria feito
uma média diária de _.
Assinale a alternativa cujos valores preenchem, correta e respectivamente, as lacunas acima.
a) 14,8 km — 8,15 km
b) 13,3 km — 7,4 km
c) 14,8 km — 7,4 km
d) 13,3 km — 6,65 km
e) 15,5 km — 7,75 km

3) Um pai resolve depositar todos os meses uma certa quantia na caderneta de poupança de sua
filha. Pretende começar com R$5,00 e aumentar R$ 5,00 por mês, ou seja, depositar R$ 10,00 no
segundo mês, R$ 15,00 no terceiro mês e assim por diante. Após efetuar o décimo quinto
depósito, a quantia total depositada por ele será de:
a) R$ 150,00
b) R$ 250,00
c) R$ 400,00
d) R$ 520,00
e) R$ 600,00

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4) Achar três números em P. G. crescente, sendo 31 a soma e 125 o produto.

5) Determine o número de termos de uma P. G. na qual a1 = 4, q = 2 e Sn = 2044.

6)Calcular a soma dos termos da P. G.

The table below shows the height of a ball  x  seconds after being kicked.  what values, rounded to the nearest whole number, complete the quadratic regression equation that models the data? f(x)  =  x2  +  x  +  0based on the regression equation and rounded to the nearest whole number, what is the estimated height after 0.25 seconds?   feet

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.