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irina1246 [14]
3 years ago
14

What is the sum of the geometric series 20 + 21 + 22 + 23 + 24 + … + 29? 1,023 511 2,407 1,012 NextReset

Mathematics
2 answers:
docker41 [41]3 years ago
6 0
511 is the correct answer

Annette [7]3 years ago
5 0

Answer:

1023

Step-by-step explanation:

2^0+2^1+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9

1+2+8+16+32+64+128+256+512=1023

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Lucia has 3.5 hours left in her workday as a car mechanic. Lucia needs 1/2 of an hour to complete one oil change.
MatroZZZ [7]

Answer: So Lucía has 3.5 hours left, and need 1/2 of an hour (or 0.5 hours) to do one oil change.

a) If you divide the total time she has by the time she needs for each oil change, then you got the total number of oil changes that she can do in that time; this is:

3.5/0.5 = 7

So she can do 7 oil changes in 3.5 hours.

b) If she can complete two car inspections in the same amount of time it takes her to complete one oil change, then she can do two car inspections in 0.5 hours.

2*car inspections = 0.5 hours

car inspection = (0.5/2) hours

then one car inspection will take 0.5/2 = 0.25 hours.

c) Two ways to solve this:

1) Do the same that we did in a), this is: 3.5/0.25 = 14

she can do 14 car inspections.

2) If in 3.5 hours, she can do 7 oil changes, and in the time she does an oil change, she can do two car inspections, then in 3.5 hours she can do 7*2 car inspections, and 7*2 = 14

5 0
3 years ago
Read 2 more answers
PLEASE QUICK HELP!!!
Fantom [35]

Answer:

4.5 / B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Directions:Simplify the following monomials.SHOW ALL STEPS!
Mandarinka [93]

Answer:

<u>7. Ans</u>;

\frac{6 {a}^{5}  {b}^{7} }{ - 2 {a}^{3} {b}^{7}  }   =  \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} )  }{ - 2 {a}^{3}  {b}^{7} }  =  - 3 {a}^{2}

___o____o___

<u>8. Ans</u>;

\frac{ - 20 {x}^{3}  {y}^{2} }{ - 5 {x}^{3}y }  =  \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y }  = 4y

___o___o___

<u>9. Ans</u>;

\frac{ - 16 a {b}^{4}  }{4 {b}^{3} }  =  \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} }  =  - 4ab

____o____o____

<u>10. Ans;</u>

\frac{21 {m}^{8}  {n}^{5} }{27 {m}^{5} {n}^{4}  }  =  \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n)  }{3 {m}^{5} {n}^{4}(9)  }  =  \frac{7 {m}^{3}n }{9}

___o___o___

<u>11. Ans;</u>

\frac{ - 15 {x}^{5}  {y}^{4} }{45x {y}^{3} }  =  \frac{ 15x {y}^{3} ( -  {x}^{4} y)}{15x {y}^{3}(3) }  =  -  \frac{ {x}^{4}y }{3}

___o___o___

<u>12.Ans;</u>

\frac{7 {p}^{2}  {q}^{2} }{14 {p}^{2} {q}^{2}  }  =  \frac{7 {p}^{2} {q}^{2}  }{7 {p}^{2} {q}^{2} (2) }  =  \frac{1}{2}  = 0.5

I hope I helped you^_^

7 0
3 years ago
Read 2 more answers
A tree is 7 ft tall when it is planted and this type of tree grows two feet per year. How tall will the tree be in 6 years? How
s344n2d4d5 [400]

2x+7=?

X=6

2(6)+7=

12+7=19

In six years, the tree will be 19ft

2x+7=44

Minus seven on both sides

2x=37

Divide two from both sides

X=18.5

Thus, it will take 18 and a half years for the tree to reach 44ft

4 0
3 years ago
-5 1/2 + 7 3/4 value of the expression
Irina18 [472]

Answer:

2 1/4

Step-by-step explanation:

-11/2+7 3/4

-11/2 + 31/4

= 9/4

= 2 1/4

4 0
3 years ago
Read 2 more answers
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