Ask question

Ask question

All categories

2 years ago

11

[Brainliest Answer] A ball's position, in meters, as it travels every second is represented by the position function s(t)=4.9t^2

+450.
What is the velocity of the ball after 5 seconds?
Include units in your answer.

1 answer:

Vikentia [17]2 years ago

7 0

Should be right
$2200$

You might be interested in

Simplify 3.31 l : 900 ml

Paul [167]

We can take the ratio of two same quantities.

Quantities must have the volume in the same units.

We know 1 liter is equal to 1000 milliliters

We have here 3.31 liters

We need to multiply this by 1000 to convert it to milliliters.

We get

3.31 × 1000 = 3310 milliliters

So

3.31 L : 900 ml

= 3310 : 900

Dividing by 10 we get

= 331 : 9

Now the factors of 9 are 3 × 3.

But 331 is not divisible by 3

Hence this ratio cannot be simplified further.

The simplified answer is 331 : 9

3 0

2 years ago

Read 2 more answers

Herky was given the following system of equations to solve. 3 x minus 2 y = 17. x minus 3 y = 1.

ioda

Answer:

(7, 2 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 17 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

3(1 + 3y) - 2y = 17 ← distribute and simplify left side

3 + 9y - 2y = 17

3 + 7y = 17 ( subtract 3 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 1 + 3(2) = 1 + 6 = 7

Solution is (7, 2 )

5 0

2 years ago

Read 2 more answers

Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t

zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

5 0

2 years ago

Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The

Ivenika [448]

Y = 12x - 40

the x variable represents the number of hours Sam works at the airport
the y value represents the amount in dollars that Sam has after paying Daniel
the 12 is the amount in dollars that Sam earns per hr
the 40 is the amount in dollars Sam owes Daniel

7 0

2 years ago

The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions

jek_recluse [69]

Answer:

$P = 2*(26+4y) + 4y$

And if we solve for y we got:

$202= 52 +8y +4y$

$202= 52 +12 y$

And replacing we got:

$150 = 12y$

And we got:

$y = \frac{150}{12}= 12.5$

And for x we got:

$x = 26 +4*12.5 = 76$

So then the length would be 76 and the width we got 12.5

Step-by-step explanation:

For this case we have a rectangle. The perimeter is given by:

$P= 2x+2y$

Where x represent the length and y the the width. We can set the following conditions:

$x = 26 +4y$

And if we replace the conditions we got:

$P = 2*(26+4y) + 4y$

And if we solve for y we got:

$202= 52 +8y +4y$

$202= 52 +12 y$

And replacing we got:

$150 = 12y$

And we got:

$y = \frac{150}{12}= 12.5$

And for x we got:

$x = 26 +4*12.5 = 76$

So then the length would be 76 and the width we got 12.5

6 0

2 years ago