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Phantasy [73]
3 years ago
7

Find the sum of the first 8 terms in the sequence 2 8 32 128

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0

the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)

so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768

2+8+32+128+512+2048+8192+32768=43690 

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A jug has 1 litre of 10% strength cordial. How much pure cordial needs to be added to make the strength 20%?
garik1379 [7]

Answer:

The volume or amount of pure cordial to be added to the solution to make the strength 20% is 125 ml

Step-by-step explanation:

The given parameters, are;

The volume of cordial in the jug = 1 litre

The percentage strength of the cordial = 10%

The proportion of the cordial that contains pure cordial = 0.1

Therefore, the volume of pure cordial in the jug = 0.1 × 1 = 0.1 × 1000 ml = 100 ml

The volume of the solvent = The volume of the solution -  The initial volume of pure cordial

∴ The volume of the solvent = 1000 ml - 100 ml = 900 ml

To increase the concentration of the cordial to 20% is given by the relation;

x/(x+900) = 0.2

Where;

x = The total volume of the pure cordial to be added to the pure solvent

Solving, gives;

x = 0.2×(x+900) = 0.2·x + 180

x -0.2·x = 180

0.8·x = 180

x = 180/0.8 = 225 ml

The total volume of the pure cordial to be added to the pure solvent = x = 225 ml

Therefore, the volume of pure cordial to be added to the initial volume of pure cordial in the solution, which is 100 ml, is therefore given as follows;

The volume or amount of pure cordial to be added = 225 ml - 100 ml = 125 ml.

The volume or amount of pure cordial to be added = 125 ml

8 0
3 years ago
Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe
Tom [10]

Answer:  The correct option is (B) f(q) = 2q + 3.

Step-by-step explanation:  The given equation representing a function is

6q=3s-9~~~~~~~~~~~~(i)

We are to write the equation in function notation with 'q' as independent variable.

From equation (i), we have

6q=3s-9\\\\\Rightarrow 3s=6q+9\\\\\Rightarrow s=2q+3.

So, 's' can be represented as a function of 'q'. Hence, we can write

s=f(q).

Therefore, we have

f(q)=2q+3.

Thus, (B) is the correct option.

7 0
3 years ago
A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s. (a) What is the average velocity of the
Archy [21]

Answer:

<h2>a) Average velocity = 1.25 m/s to the right</h2><h2>b) Average speed = 3.75 m/s</h2>

Step-by-step explanation:

A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s.

Total displacement = 20 - 10 = 10 m to the right

Total time = 5+3 = 8 s

Total distance = 20 + 10 = 30 m

a) We have

         Total displacement = Average velocity x Time

         10 = Average velocity x 8

         Average velocity = 1.25 m/s to the right

b)We have

         Total distance = Average speed x Time

         30 = Average speed x 8

         Average speed = 3.75 m/s

3 0
3 years ago
Blue Ocean Realty Co. pays weekly salaries of $33,300 for a six-day workweek (Monday through Saturday).
navik [9.2K]
That’s a lot of money. that’s literally $5,550 a day
5 0
2 years ago
Brian invests £600 into his bank account.
Savatey [412]

Answer:

It will be £2520

Step-by-step explanation:

  1. 3.2=
  2. \frac{16}{5}
  3. \frac{16}{5}  \times 100 = 320
  4. 320
  5. 320 \times 6 = 1920
  6. 1920 + 600 = 2520
7 0
3 years ago
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