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3 years ago

Declan ran 500 meters in 5 minutes . calculate the unit rate

Mathematics

2 answers:

Brut [27]3 years ago

7 0

To find the unit rate of a question, divide.

500 / 5 = 100

100 meters per minute.

______

Best Regards,

Wolfyy :)

SIZIF [17.4K]3 years ago

5 0

Answer:

100 meters in 1 minute

Step-by-step explanation:

500/5=100

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What would the new point be If you rotated the point (3,-5) 270 clockwise.

timurjin [86]

Answer:

see below

Step-by-step explanation:

When you rotate a point 270 degrees clockwise (x, -y) becomes (-y, -x) so the answer would be (-5, -3).

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3 years ago

Evaluate <br><br> 0<br> ∫ ( 3^3 - 5^2) dx <br> -2

Jobisdone [24]

3^3 = 27
5^2 = 25
27 - 25 = 2

integral of 2 = 2x

(2x) evaluated from -2 to 0
= (0) - (2(-2)) = -(-4) = 4

If you did not make any mistakes in typing your question
the answer would be 4

4 0

2 years ago

The profit per acre from a grove of orange trees is given by x(190 − x) dollars, where x is the number of orange trees per acre.

nasty-shy [4]

Answer:

$P(x) = 190 x -x^2$

In order to maximize the last equation we can derivate the function in term of x and we got:

$\frac{dP}{dx} = 190 -2x$

And setting this derivate equal to 0 we got:

$\frac{dP}{dx} = 190 -2x=0$

And solving for x we got:

$x = 95$

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

$P(x=95)= 95(190-95)= 95*95 = 9025$

Step-by-step explanation:

For this case we have the following function for the profit:

$P(x) = x(190-x)$

And we can rewrite this expression like this:

$P(x) = 190 x -x^2$

In order to maximize the last equation we can derivate the function in term of x and we got:

$\frac{dP}{dx} = 190 -2x$

And setting this derivate equal to 0 we got:

$\frac{dP}{dx} = 190 -2x=0$

And solving for x we got:

$x = 95$

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

$P(x=95)= 95(190-95)= 95*95 = 9025$

7 0

3 years ago

Read 2 more answers

How can you write 200,000 using a whole number and a power of 10

jeka94

Hey!

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Question Explanation:

In other words you can write 200,00 using a whole number and a power 10 using scientific notation!

In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.

-----------------------------------

Solution:

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

-----------------------------------

Answer:

2 x 10^5

-----------------------------------

Hope This Helped! Good Luck!

5 0

3 years ago

A circular disc has a circumference of 16pi meters. if we multiply the radius of the circular disc is by 10, what is the circumf

Flauer [41]

The circumference of the new disc 160Π that is 10 time of old circumference.

Step-by-step explanation:

Given,

Circumference of circular disc = 16Π (pi = Π)

Let, the radius of the circle be 'r'

Formula

The circumference of a circle with r radius = 2 Π r

According to the problem,

2 Π r = 16Π

or, 2r = 16 ( by eliminating the value of Π from both the side)

or, r = 8

Now, we multiply the radius by 10

so, the new radius is 8 X 10 = 80

Now the circumference = 2 Π X 80

= 160Π

Hence, the new circumference also will be 10 times of the older one.

6 0

3 years ago

Declan ran 500 meters in 5 minutes . calculate the unit rate​

Declan ran 500 meters in 5 minutes . calculate the unit rate