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Masteriza [31]
3 years ago
14

Find which term in the geometric sequence 1, 3, 9, 27, ... is the first to exceed 7,000.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

10th term

Step-by-step explanation:

3ⁿ⁻¹ > 7000

log₃ 7000 = 8.05

n - 1 > 8

n > 9

10th term

check: 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683

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Please help, answer must be in fraction form if possible
yuradex [85]

Answer:

28.875 or 28 7/8

Step-by-step explanation:

pls mark brainliest!

steps:

(23+1/2) + (15+1/8) - (9+3/4) then solve

46+1 over 2 + 120+1 over 8 - 36+3 over 4

solve

47/2 + 121/8 - 39/4

solve

188+121-78 over 8 = 231/8

convert 231/8= 28 7/8

5 0
2 years ago
What is the slope of (3, 3) and (-6, -3)
Veronika [31]

Answer:

m=2/3

Step by Step Explanation:

x1,y1= 3,-6

x2,y2=3,-3

m={-3-3}           (Fraction Form)

    {-6-3}

Refine:

m={2}{3}

7 0
3 years ago
Read 2 more answers
Which expressions are equivalent to 4(x+1) + 7(x+3)? Select two answers.
Natalija [7]

Answer:

9(x+3) + 2(x+3) or 10(x+2) +(x+5)

Step-by-step explanation:

First you want to distribute the equation.

4(x+1) + 7(x+3) multiplied out is

4x + 4 + 7x + 21

Now we add like terms so it comes out to

11x + 25

Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)

7 0
3 years ago
Y’all know this anything about this?
Andre45 [30]

We are given:

  • Parallelogram CDEF
  • ∠C = 13x - 10
  • ∠D = 5x + 10

To Find: ∠E

Concept Used:

  • Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

7 0
2 years ago
Ignore the erase marks but i have no clue how to do this. please help asap
madam [21]
Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!
7 0
3 years ago
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