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3 years ago

Find the position function of a particle moving along a coordinate line that satisfies the given conditions. 2sint-cost

Mathematics

1 answer:

dimulka [17.4K]3 years ago

5 0

Answer:

the position of a particle moving at a coordinate say(y) will satisfy the given conditions t=0 (say) if y=2sint-cost

Step-by-step explanation:

Clearly by the above we can see that if y=2sint-cost at t=0, then y=-1 because at t=0 sint vanishes and leaves us with only cost and at t=0 cos0=1

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Find the number of ways to distribute six different toys to three different children such that each child gets at least one toy.

Lisa [10]

Answer:

Step-by-step explanation:

Given that there are six different toys and they are to be distributed to three different children.

The restraint here is each child gets atleast one toy.

Let us consider the situation as this.

Since each child has to get atleast one toy no of ways to distribute

any 3 toys to the three children each. This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways

So 3 toys to each one in 6x5x4 =120 ways

Now remaining 3 toys can be given to any child.

Hence remaining 3 toys can be distributed in 3x3x3 =27 ways

Total no of ways

= 120(27)

= 3240

8 0

2 years ago

The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le

I am Lyosha [343]

Answer:

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

3 0

2 years ago

Read 2 more answers

Two thirds times three eighths

LekaFEV [45]

Answer:

1/4 or 0.25

Step-by-step explanation:

2/3*3/8=6/24=1/4

3 0

2 years ago

Read 2 more answers

If there is a 25% discount, what percent of the original price must a customer pay

steposvetlana [31]

Answer: 75% Of the original price

Step-by-step explanation:

7 0

3 years ago

A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that t

Burka [1]

Answer:

The function $p(n)$ is represented by $p(n) = 103\cdot (0.88)^{n}$ .

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

$p(n) = p_{o}\cdot r^{n}$ (Eq. 1)

Where:

$p_{o}$ - Atmospheric pressure at sea level, measured in kilopascals.

$r$ -Atmospheric pressure decrease rate, dimensionless.

$n$ - Height above sea level, measured in kilometers.

$p(n)$ - Current pressure, measured in kilopascals.

If we know that $p_{o} = 103\,kPa$ and $r = 0.88$ , the function $p(n)$ is represented by:

$p(n) = 103\cdot (0.88)^{n}$

4 0

3 years ago