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kherson [118]
3 years ago
15

Find an explicit rule for the nth term of the sequence. 7, 21, 63, 189, ...

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

7 \times  {3}^{n - 1}

Step-by-step explanation:

using form:

a \times  {r}^{n - 1}

where a: starting number

where r: common ratio (in this case each next term is 3 times previous term)

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Equation: A number decreased by 5 is equal to 10 (seperate eqaution) The sum of a number and 12 is the same as twice the number.
kirza4 [7]

Answer:

1. 15

2. 12

Explanation:

1. n-5=10

n=10+5

n=15

2. n+12=2n

12=2n-n

12=n

3 0
3 years ago
How many more hostel rooms have 4 to 7 guests than 20 to 23 guests?
Ksenya-84 [330]

Answer:

4

Step-by-step explanation:

4 0
3 years ago
Mr. Williams can grade 50 essays in 7 hours. His assistant, Mr. Wilfred, can do the same job in 14 hours. His other assistant, M
Elza [17]

Answer:

13.44 or 13 11/25 hours

Step-by-step explanation:

First use this format: number of essays/hours

- they are asking if all three work together, how many hours would it take, so this means addition:

50/7 + 50/14 + 25/6 = 200/x

Second, solve:

- least common multiple: 42

300/42 + 150/42 + 175/6 = 200/x

625/42 = 200/x

- cross-multiply

625x = 8,400

x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)

5 0
3 years ago
Richard buys a carton of oranges and measures the weight of 1 orange in the carton Which measure gives the most precise weight?
Rama09 [41]

Answer:

0.8 lbs

Step-by-step explanation:

Ounces are typically used to measure liquid, so I would discourage choosing the top two. And, hopefully you know by now that an orange does not weigh 8 pounds.

5 0
3 years ago
Read 2 more answers
Find the area of the shaded region.
Papessa [141]

Answer:

21.46 cm²

Step-by-step explanation:

because the question want only for the SHADED REGION but NOT AREA OF THE SQUARE

(if we just multiply 10x10. you will get the area of a square which is hundered)

To find the shaded region:

1. area of a circle is πr² (we have 4 circle there)

2. Find the area of all circle

# how do we know the radius?

- half of 10 is 5

- 5 is the diameter of each circle

- the radius is half of 5 which is 2.5

- π(2.5)² = 25/4π (area of 1 circle)

3. since we have 4 circle then, 25/4π x 4 = 25π

4. the area of the square is 100cm²

5. we want the shaded region so we have to minus the area of the circle

6. 100 - 25π (use your calculator to find the answer)

answer should be 21.46 cm²

(hope this helps)

8 0
3 years ago
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