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vladimir1956 [14]
2 years ago
13

Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

\frac{512}{6561}

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

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PLSSSS PSL PLS PLS HELP Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. Ho
igomit [66]

Answer:

165 liters of 15% solution

Step-by-step explanation:

15F + 65S = 60(1650)

F + S = 1650

F = 1650-S

15(1650-S) +65S = 99000

50S = 99000-24750= 74250

S = 74250/50 = 7425/5 = 1485 liters of 65% solution

F = 1650-1485 = 165 liters of 15% solution

65 is much closer to 60 than 15 is,  so you know there will be mostly 65% solution with relatively little 15%

Hope this helps, have a nice day/night! :D

8 0
3 years ago
Wait so the sum of interior angles
Amiraneli [1.4K]
<h3>Answer:   1260</h3>

====================================================

Work Shown:

n = number of sides = 9

S = sum of the interior angles of any polygon with n sides

S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

8 0
3 years ago
Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)
CaHeK987 [17]

Answer:

Midpoint is(-25.15,10.2)

Step-by-step explanation:

A line segment refers to line that has two endpoints.

Let (a,b),(c,d) be the endpoints of a line segment.

Midpoint of the line segment is given by (\frac{a+c}{2} ,\frac{b+d}{2})

Take the given points as follows:

(a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)

Midpoint of a line segment =(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})

=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)

7 0
3 years ago
5 is subtracted from three-fifths of x...please someone translate this expression for me.​
Fudgin [204]
3/5x-5
I believe this is the expression that is described.
8 0
4 years ago
Anyone know how to do these?
erastovalidia [21]

Answer:

B. 1/m¹⁸

Step-by-step explanation:

To simplify the equation, we start with the values inside the brackets.

Therefore  m⁻¹m⁵ results to m⁴.

This is because the sign between the m⁻¹ and m⁵ is multiplication, and when multiplying figures that have a similar base, we add the indices.

that is, -1+5=4

then we divide m⁴ by m⁻², that is, m⁴/m⁻²=m⁶

To divide figures that have the same base we subtract the powers.

That is, 4-(-2)=6

the resulting expression from inside the brackets will be (m⁶)³ which results to m⁻¹⁸ which is the same as 1/m¹⁸

3 0
3 years ago
Read 2 more answers
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