What is the value of the square root of 2 to the third decimal place?

Mackenzie ran the olympic marathon of 26 1/5 miles in a time of 5 4/5 hours. How far did she run in a 1 hour?

padilas [110]

Answer:

Step-by-step explanation:

v=d/t (average velocity equals distance divided by time)

26.2mi/5.8h=4.5mi/h

So Mackenzie runs approximately 4.5 miles in an hour (rounded to nearest tenth of a mile)

8 0

3 years ago

Please help. I do not know how to answer this question. :\

Zanzabum

Answer:

(6 + m²)(6 + m²) . . . . . . . lower left selection

Step-by-step explanation:

When in doubt, you can multiply out the offered factorizations and see which one gives you the given expression.

___

A lot of math is about pattern matching. The given trinomial has first and last terms that are perfect squares. The first term is the square of 6. The last term is the square of m². The middle term is double the product of these two square roots: 2·(6m²) = 12m².

This pattern matches the special form of the square of a binomial:

(a + b)² = a² + 2ab + b²

This special form is useful to commit to memory (at least while you're in math classes in school).

So, when you see 6² + 2·6·m² + (m²)², you can recognize that it is the square ...

(6 + m²)²

When this is written out in the way the answer choices are written, it looks like ...

(6 + m²)(6 + m²)

8 0

3 years ago

If A={1,2,3}, find the relation in A×S satisfying the condition x+y<5.

Sonja [21]

Answer: This is copied from the internet:

Step-by-step explanation:

Answer:

For function, every element of the domain must have a unique image in co-domain...

(A)Let us redefine each function as a set of ordered pairs

and see if they satisfy the above condition (A) of a function f1={(1,2),(2,3),(3,4)} ; (4,5) cannot be an ordered pair as 5 does not belong to co-domain , Thus the element 4 of domain does not have an image.

f2={(1,4),(2,3),(2,4),(3,2)(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

The uniqueness is violated as the elements have not one but many images.

f3={(2,1),(3,2),(3,1),(4,1),(4,2),(4,3)} Not a function as in f2 uniqueness is violated.

f4={(1,4),(2,3),(3,2)(4,1)} It is a function as each element has a unique image.

5 0

3 years ago

A rectangle with positive are has length represented by the expression 3x^2+5x-8 and width by 2x^2 +6x write an expression in te

Nata [24]

Answer:

$c=10x^2+22x-16\\A=6x^4+28x^3+14x^2-48x$

Step-by-step explanation:

Given

Length is $l=3x^2+5x-8$

Width is $w=2x^2+6x$

Perimeter of the rectangle is the sum of the sides

$\Rightarrow c=2(3x^2+5x-8+2x^2+6x)\\\Rightarrow c=2(5x^2+11x-8)\\\Rightarrow c=10x^2+22x-16$

Area is given by

$\Rightarrow A=(3x^2+5x-8)(2x^2+6x)\\\Rightarrow A=6x^4+18x^3+10x^3+30x^2-16x^2-48x\\\Rightarrow A=6x^4+28x^3+14x^2-48x$

8 0

3 years ago

Maggie's brother is 9 years younger than three times her age. The sum of their ages is 43. How old is Maggie?

bekas [8.4K]

Answer:

Maggie's age is 13 years

Step-by-step explanation:

Let

x ------> Maggie's brother age

y ------> Maggie's age

we know that

x+y=43 ------ > equation A

x=3y-9 ------> equation B

substitute equation B in equation A and solve for y

(3y-9)+y=43

4y=43+9

4y=52

y=13

therefore

Maggie's age is 13 years

5 0

4 years ago