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2 years ago

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Thirteen people are being honored for their work in reducing pollution. In how many ways can we line up these people for a pictu

re

1 answer:

andreyandreev [35.5K]2 years ago

3 0

In 13! different ways.

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In a country there are 48 000 people in the defence services. They work in the army, navy and air force in the ratio : 2.3. How

KatRina [158]

Based on the ratios given, the number of people in each service is 8000 in the army, 16000 in the navy and 24000 in the air force.

<h3>What is the number of people in each service?</h3>

Given that 48000 people are in the defence services.

The defence services comprises of the army, navy and air force.

The defence services are in the ratio 1:2:3

To determine the number of people in each service:

Total ratio = 1 + 2 + 3 = 6

Number of people in each service = each service ratio/total ratio × 48000

Number in army = 1/6 × 48000 = 8000 persons

Number in Navy = 2/6 × 48000 = 16000 persons

Number in air force = 3/6 × 48000 = 24000 persons

Therefore, the number of people in each service is 8000 in the army, 16000 in the navy and 24000 on the air force.

Learn more about ratio at: brainly.com/question/25927869

8 0

2 years ago

Find CSA of cylinder whose circumference is 11cm and its height is twice itz diameter

e-lub [12.9K]

Answer:

77.03 cm²

Step-by-step explanation:

The appropriate formulas are ...

CSA = Ch . . . . . curved surface area, C=circumference, h=height

where

C = πd

or

d = C/π

__

Here, we have ...

h = 2d = 2C/π

C = 11 cm

so the curved surface area is ...

CSA = (11 cm)(2(11 cm)/π) = 242/π cm² ≈ 77.03 cm²

3 0

3 years ago

Ray Of Light [21]

The answer is C.
In t=2.33p, the constant is 2.33 and it stands for "<span>The tomatoes cost $2.33 per pound"</span>

8 0

3 years ago

Read 2 more answers

Find the general term of {a_n}

Assoli18 [71]

From the given recurrence, it follows that

$a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3$

and so on down to the first term,

$a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k$

(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)

Denote the remaining sum by <em>S</em> ; then

$S = 1 + 2 + 2^2 + \cdots + 2^{n-1}$

Multiply both sides by 2 :

$2S = 2 + 2^2 + 2^3 + \cdots + 2^n$

Subtract 2<em>S</em> from <em>S</em> to get

$S - 2S = 1 - 2^n \implies S = 2^n - 1$

So, we end up with

$a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}$

5 0

2 years ago

Mrs. Hernanadez is covering the top of a kitchen shelf that is26 3/8 inches long and 15 1/2 inches wide. She incorrectly measure

miss Akunina [59]

Answer:

The calculation of Mrs. Hernanadez will affect by 1.375 inches lesser.

Step-by-step explanation:

Given:

Length of the Kitchen shelf = 26 3/8 inches

Width of the Kitchen Shelf = 15 1/2 inches

Incorrect measurement of the length of the kitchen shelf = 25 inches

Solution:

The Actual length of the kitchen shelf is $26\frac{3}{8}$

But she measured as 25 inches

So the error in the measurement will be

=>Correct length of the shelf - Incorrect length of the shelf

=> $26\frac{3}{8}$ - 25

Coverting the mixed fraction to fraction,

=> $\frac{211}{8}$ - 25

=> $26.375$ - 25

=>1.375

5 0

3 years ago