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lina2011 [118]
2 years ago
11

Need help with 18 and 20 would be appreciated you need to find the variable

Mathematics
1 answer:
torisob [31]2 years ago
7 0

18: X. is 30 as well. Y. is 15 dont have the answer for z.

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Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.
GarryVolchara [31]

Answer:

a_{n} = 32(\frac{1}{4})^{n-1}

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

a_{n+1} = ra_{n}

In which r is the common ratio.

This can be expanded for the nth term in the following way:

a_{n} = a_{1}r^{n-1}

In which a_{1} is the first term.

This means that for example:

a_{3} = a_{1}r^{3-1}

So

a_{3} = a_{1}r^{2}

2 = a_{1}(\frac{1}{4})^{2}

2 = \frac{a_{1}}{16}

a_{1} = 32

Then

a_{n} = 32(\frac{1}{4})^{n-1}

4 0
3 years ago
On average, Stan drinks 34 of a 8 ounce glass of water in 12 of an hour. How much water does he drink in an hour?
baherus [9]

Answer:22.6

Step-by-step explanation:34x8=272 the divind it to to get 22.6.

Hope this helps.

3 0
3 years ago
Find the equation of the line that passes through the point left (-9,12) and is perpendicular to the line y=3/2x-1/2. Write the
ohaa [14]

Answer:

The answer to your question is: y = -2/3 x + 18

Step-by-step explanation:

Data

Point = (-9, 12)

line   y = 3/2x -1/2     perpendicular

Process

The line must be perpendicular to the line given. Then,

slope is the line given = 3/2, we change it because the lines must be perpendicular ,

New slope         M =  -2/3

New line       y-y1 = m(x - x1)

                     y - 12 = -2/3 (x + 9)             Substitution

                   3( y - 12) = -2(x + 9)

                   3y - 36 = -2x - 18                 Simplify

                   3y = -2x - 18 + 36

                   3y = -2x + 18

                      y = -2/3 x+ 18                      Result

8 0
3 years ago
Scott has 18 3/4 gallons of gas in his tank. If he uses 3/50 gallons of gas per mile he drives how many miles can he drive befor
iVinArrow [24]

Answer:

Step-by-step explanation:

I’m sorry that i can’t fully help and that i answered it wrong twice i also got stuck. I hope someone else helps you and that you get an a

18 3/4 as an improper fraction is 75/4.

75/4 can be re-written as 1875/100 (multiply both sides by 25)

3/50 can be re-written as 6/100 (multiply both sides by 2)

6 0
3 years ago
For which inequality is x = 5 a solution?<br>A x&lt;2<br>B. x&gt;9 <br>C x&lt;18 <br>D. x&gt; 42​
marishachu [46]

Answer:

c

Step-by-step explanation:

because 5 is smaller then 18

7 0
3 years ago
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