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777dan777 [17]
3 years ago
12

Every positive integer is smaller than every negative integer true or false

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
The answer is false. Good luck with other questions!
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The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

7 0
2 years ago
Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity
iris [78.8K]

Answer:

(a) 7.5 seconds

(b) The horizontal distance the package  travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

The initial vertical velocity of the object v₀_y = 0 m/s

The time it takes the package to strike the ground is found as follows;

0 = -16·t² + 0×t + 900

900 = 16·t²

t² = 900/16 = 62.25

t = √62.25 = 7.5 seconds

(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have

158 miles/hour = 231.7126 ft/s

The horizontal distance the package  covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package  travel during its descent = 1737.8 ft.

4 0
2 years ago
Un camio pot portar una carrega maxima de 5 t.En un afabrica ha caregat 6 contenidors de 3 q i 85kg cada un.Quants quilos mes hi
scoray [572]

Answer:

ripppppppppp

Step-by-step explanation:

ripppppppppppp

7 0
2 years ago
Determine the value of x, using the following transversal. The value of x is
madam [21]

Answer:

  • x = -10

Step-by-step explanation:

  • x + 75 + x + 125 = 180 as supplementary (same side interior angles)
  • 2x + 200 = 180
  • 2x = -20
  • x = -10
3 0
2 years ago
Read 2 more answers
Pls help ple help pls help
stich3 [128]
P-24=15

because if argentina has 15 more than south africa then you need to subtract 24-15=p which is pretty much the same things as p-24=15

and if you need to know how many provinces south africa has then 9 provinces should be your answer
3 0
2 years ago
Read 2 more answers
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