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hjlf
2 years ago
9

PLZ HELP WITH THIS!!!! IM TIMED AND NEED CORRECT ANSWERS

Mathematics
1 answer:
Georgia [21]2 years ago
4 0

1.   Using the formula for nth term ( = a1 * r^(n-1)

the 5th term = (-2)*(1/4)^4

= -2/256  = -1/128  (answer)

2.   The 4 terms between 1 and  32 are found as follows:-

a1 = 1 and  a6 = 32   so  32/1 = a6/a1

 therefore 32/1 = a1r^5 / a1

so r^5 = 32 and r = 2

so 4 terms are a1r,  a1r^2, a1^r^3 and a1r^4

= 2, 4, 8, 16   (answer)

3.   You need the sum of 10 terms where a1 = -2 and r = 3

S10  = -2 * (3^10 - 1) / (3 - 1)

= -59058

4.  Sum to infinity  = a1 / (1 - r)

a1 = 1 and r = 1/2

so the answer is  1 /  (1 - 1/2)

= 1 / 1/2

= 2   (answer)

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Answer:

Step-by-step explanation:

If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8).  BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).

V_o-V_i  That's volume outer - volume inner.  To find the outer volume:

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V_o=4800\pi  and do the same for the inner volume:

V_i=\pi (2.5^2)(300) and

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If you need your answer in decimal form, then the volume is

9189.16 cm³

4 0
3 years ago
Ron's property tax is $615.33 and is due April 5. He does not pay until July 19. The country adds a penalty of 8.4% simple inter
dolphi86 [110]
Number of days that attracted penalty is from April 5 to July 19 which is 105 days.

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The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu
Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A  goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off  is (1-p)

Thus the probability that detector A goes off and detector B does not go off is  product of the individual probabilities

P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615

Probability that detector B goes off is '0.615'

5 0
3 years ago
If g(x)=1-3/4x find the values of g(0), and -5·g(4)-1
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Answer:

What is the math qouestion, what are we trying to find out?

Step-by-step explanation:

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3 years ago
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Tpy6a [65]
2^3:
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