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1 year ago

Write a recursive formula for the sequence 1, 5, 9, 13

Mathematics

1 answer:

11Alexandr11 [23.1K]1 year ago

5 0

Answer:

$\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}$

Explanation:

Sequence: 1, 5, 9, 13

Add(ing) 4 every time

$\bold{a(1) \ = \ 1}$

$\bold{\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}}$

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How do you round 38,288 to the nearest 100

lys-0071 [83]

Consider the number 38,288

Now, we have to round this number to the nearest hundreds place.

The place value to the extreme right of the number is ones, then tens, hundreds, thousands, ten thousands and so on.

So, the digit at hundreds place = 2

Consider the digit to the right of the hundred place which is '8', which is greater than 5.

Therefore, we will add '1' to the digit at hundreds place.

Therefore, the number 38,288 rounded to nearest hundreds is 38,300.

8 0

1 year ago

Read 2 more answers

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

Mean of the sample = 27.83

The variance of the the sample = 106.96

Standard deviation of the sample = 10.34

Step-by-step explanation:

Step(i):-

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

Step(ii):-

Given data

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

Step(iii):-

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

8 0

2 years ago

HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted

diamong [38]

Answer:

166

Step-by-step explanation:

$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)

10.00 divided by 0.06= 166

I hope this helps! :)

3 0

1 year ago

Sonya and Isaac are in motorboats located at the center of a lake. At time t=0, Sonya begins traveling south at a speed of 36 mp

Rashid [163]

Answer:

the speed btn sonya and issac would make a right angled trangle hence easy 2 solve through pythogoras

${36}^{2} + {27}^{2} = 2025$

then find the

$\sqrt[?]{?}$

hence get 45

since it was 12 mins we need 2 multiply by 12

hence

$45 \times 12 = 540$

Therefore it's 540mph

6 0

1 year ago

The speed of a sparrow is x km/h in still air. When the

Semmy [17]

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

x = 5 (answer)

4 0

1 year ago