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3 years ago

Given a1=64, r=1/2 find the next three terms and the explicit formula.

1 answer:

4 0

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), in this case a=64 and r=1/2 so

a(n)=64(1/2)^(n-1)

So the 2nd, 3rd, and 4th terms are:

32, 16, and 8

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Pls instruct me on this.

Levart [38]

For x = ay - bz:

Add bz to both sides:

ay = x + bz

Divide a on both sides:

y = (x + bz)/a

For xy + yz = 10:

Distribute y from the left side:

y * (x + z) = 10

Divide by x + z:

y = 10/(x + z)

For (ab - ac)/z = x:

Multiply by z on both sides:

ab - ac = xz

Take out a from the left side:

a * (b - c) = xz

Divide by b - c on both sides:

a = xz/(b - c)

8 0

4 years ago

It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?

earnstyle [38]

It takes 42 minutes for 6 people to paint 7 walls

Solution:

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If $M_1$ men can do $W_1$ work in $D_1$ days working $H_1$ hours per day and $M_2$ men can do $W_2$ work in $D_2$ days working $H_2$ hours per day, then

$\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}$

M = Number of men

D = Number of days

H = Number of hours per day

W = Amount of work

Here in this sum,

54 minutes for 4 people to paint 6 walls

$H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls$

Minutes required for 6 people to paint 7 walls

$H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls$

Substituting the values in formula, we get

$\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42$

Thus it takes 42 minutes for 6 people to paint 7 walls

7 0

4 years ago

use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additio

marissa [1.9K]

Answer:

Step-by-step explanation:

What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.

firstly we need to model the inequality (equation) for this scenario.

the constant fee= $3 additional fee for helmet

$3+15n\leq 65\\\\$

We can now solve for n since the above inequality satisfies the condition presented in the problem statement.

$3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62$

Divide both sides by 15 to find n

$n\leq 62/15\\\\n\leq 4hrs -8min$

8 0

3 years ago

Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the pac

grin007 [14]

Add whole numbers: 2 + 6 + 8 = 16
Add fractions:

= 1/3 + 3/4 + 1/2

= (8 + 18 + 12) ÷ 24

= 38/24 or 1 14/24 or simplified to 1 7/12

Total surface area = 16 + 1 7/12 or 17 7/12

5 0

4 years ago

Read 2 more answers

What is the sum of the interior angles of a polygon that has eleven sides? Enter

OLEGan [10]

Answer:

1620

Step-by-step explanation:

180(n)-360=interior angle sum

180(11)-360=1620

n = number of sides

You also can divide it by 11 to know each interior angle.

1620/11=~147.27

6 0

4 years ago