All categories

3 years ago

The underlying part is the place value what is it

Mathematics

1 answer:

nignag [31]3 years ago

4 0

The 0 is in the thousands place.

You might be interested in

This rectangular patio is tiled using 50 cm by 50 cm square tiles. How many tiles are used?

Bad White [126]

Answer:

60 tiles are used

Step-by-step explanation:

1m equals 100 cm.

5m equals 500

3m equals 300

the whole thing is 500 by 300 which when you multiply gives you

150,000. When you multiple 50 by 50 it gives you 2,500. So when you divide 150,000 by 2,500 it gives you a total of 60 tiles. HOPE THIS HELPS

5 0

3 years ago

Read 2 more answers

Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve.

const2013 [10]

Answer:

$T(t) = ( -sin(t^2), cos(t^2) )\\\\N(t) = T'(t) / |T'(t) | = (-cos(t^2) , -sin(t^2))$

$T(t) =r'(t)/|r'(t)| = (2t/ \sqrt{4t^2 + 36} , -6/\sqrt{4t^2 + 36},0)$

$N(t) =T(t)/|T'(t)| = (3/(9 + t^2)^{1/2} , t/(9 + t^2)^{1/2},0)$

Step-by-step explanation:

Remember that for any curve $r(t)$

The tangent vector is given by

$T(t) = \frac{r'(t) }{| r'(t)| }$

And the normal vector is given by

$N(t) = \frac{T'(t)}{|T'(t)|}$

For this case, using the chain rule

$r'(t) = ( -10*2tsin(t^2) , 102t cos(t^2) )\\$

And also remember that

$|r'(t)| = \sqrt{(-10*2tsin(t^2))^2 + ( 10*2t cos(t^2) )^2} \\\\ = \sqrt{400 t^2*( sin(t^2)^2 + cos(t^2) ^2 })\\=\sqrt{400t^2} = 20t$

Therefore

$T(t) = r'(t) / |r'(t) | = ( -10*2tsin(t^2) , 10*2t cos(t^2) )/ 20t\\\\ = ( -10*2tsin(t^2)/ 20t , 10*2t cos(t^2) / 20t )\\= ( -sin(t^2), cos(t^2) )$

Similarly, using the quotient rule and the chain rule

$T'(t) = ( -2t cos(t^2) , -2t sin(t^2))$

And also

$|T'(t)| = \sqrt{ ( -2t cos(t^2))^2 + (-2t sin(t^2))^2} = \sqrt{ 4t^2 ( ( cos(t^2))^2 + ( sin(t^2))^2)} = \sqrt{4t^2} \\ = 2t$

Therefore

$N(t) = T'(t) / |T'(t) | = (-cos(t^2) , -sin(t^2))$

Notice that

1. $|N(t)| = |T(t) | = \sqrt{ cos(t^2)^2 + sin(t^2)^2 } = \sqrt{1} = 1$

2. $N(t)*T(T) = cos(t^2) sin(t^2 ) - cos(t^2) sin(t^2 ) = 0$

Simlarly

$r'(t) = (2t,-6,0) \\$

and

$|r'(t)| = \sqrt{(2t)^2 + 6^2} = \sqrt{4t^2 + 36}$

Therefore

$T(t) =r'(t)/|r'(t)| = (2t/ \sqrt{4t^2 + 36} , -6/\sqrt{4t^2 + 36},0)$

Then

$T'(t) = (9/(9 + t^2)^{3/2} , (3 t)/(9 + t^2)^{3/2},0)$

and also

$|T'(t)| = \sqrt{ ( (9/(9 + t^2)^{3/2} )^2 + ( (3 t)/(9 + t^2)^{3/2})^2 + 0^2 }\\= 3/(t^2 + 9 )$

And since

$N(t) =T(t)/|T'(t)| = (3/(9 + t^2)^{1/2} , t/(9 + t^2)^{1/2},0)$

6 0

3 years ago

The weather satellite shows that hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilome

jenyasd209 [6]

Answer:

1. 3 days.

Step-by-step explanation:

We have been given that the hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilometers per hour.

First of all we will find the number of hours it will take for George to reach Puerto Rico. We can find number of hours taken by hurricane George to reach Puerto Rico by dividing 1728 by 24.

$\text{Time}=\frac{\text{ Distance}}{\text{ Speed}}$

$\text{Time taken by hurricane George to reach Puerto Rico}=\frac{1728}{24}$

$\text{Time taken by hurricane George to reach Puerto Rico}=72$

We can see that George will reach Puerto Rico in 72 hours. Let us convert hours to days by dividing 72 by 24 (number of hours in a day).

$\text{Days taken by hurricane George to reach Puerto Rico}=\frac{72}{24}=3$

Therefore, the hurricane George will reach to Puerto Rico in 3 days, if the hurricane stays on its present course. Our first option is the correct choice.

8 0

3 years ago

Math, help plsssssssssss

Bingel [31]

Answer:

x-intercept= (2, 0)

y-intercept= (0,-6)

3 0

3 years ago

How to simplify 24yz^5/32y^2z

Maurinko [17]

24y*z^5/32y^2*z

24/32 = 3/4
y/y^2 = 1/y
z^5/z = z^4/1

Soo now that they are all simplified the answer is 3z^4/4y

8 0

3 years ago