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2 years ago

What is the mean (average) of these five numbers?

Mathematics

1 answer:

IRINA_888 [86]2 years ago

4 0

Answer:

C. 5

Step-by-step explanation:

Mean: Numbers over amount of numbers

(2 + 4 + 5 + 6 + 8)/5

25/5

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Please help me solve this answer it all for me please

mestny [16]

Answer:

The slopes are

$m1=\dfrac{2}{5}, m2=-\dfrac{5}{2}$

Therefore, the equations are equations of <u> Perpendicular Lines .</u>

Step-by-step explanation:

Given:

$y=\dfrac{2}{5}\times x + 1$ ......................Equation ( 1 )

$5x+2y=-4\\\\\therefore y = \dfrac{-5}{2}\times x-2$ ..............Equation ( 2 )

To Find:

Slope of equation 1 = ?

Slope of equation 2 = ?

Solution:

On comparing with slope point form

$y=mx+c$

Where,

m = Slope

c = y-intercept

We get

Step 1.

Slope of equation 1 = m1 = $\dfrac{2}{5}$

Step 2.

Slope of equation 1 = m2 = $-\dfrac{5}{2}$

Step 3.

Product of Slopes = m1 × m2 = $\dfrac{2}{5}\times -\dfrac{5}{2}=-1$

Product of Slopes = m1 × m2 = -1

Which is the condition for Perpendicular Lines

The slopes are

$m1=\dfrac{2}{5},m2=-\dfrac{5}{2}$

Therefore, the equations are equations of <u> Perpendicular Lines . </u>

4 0

3 years ago

T&L - Math 7 - Volume 7.4 -19-20

Mashcka [7]

Answer: You would need 512 cubic centimetres

Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.

If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.

The volume of a cube is given as follows;

V = L x W x H (and the answer is expressed as V³)

Since the length , width and height all measure 8 cm, the volume can simply be expressed as

V = L x L x L

V = L³

V = 8³

V = 512 cm³

Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.

5 0

3 years ago

To simplify the following expression, which operation would you complete second?

Bingel [31]

Divide, the first operation is the parentheses and then division

3 0

2 years ago

What is the minimum angle of rotational symmetry for the quadrilateral shown below?

Liula [17]

Answer:

360

Step-by-step explanation:

bc it is

3 0

2 years ago

For each of the following functions, determine if they are injective. Also determine if theyare surjective. Also determine if th

timurjin [86]

Answer:

Check below

Step-by-step explanation:

1. Definition for intervals

$(a,b)=\left \{ x\in\Re : a$

2. Functions

1) $\Re \rightarrow \Re \\ f(x)=x$

Let's perform graph tests.

That's an one to one, injective function. Look how any horizontal line touches that only once. Also, It's a surjective and a bijective one.

2) $\Re\geq0\rightarrow\Re , f(x)=x+1\\$

Injective, surjective and bijective.

Injective: a horizontal line crosses the graph in one point.

3) $f:\Re\geq 0\rightarrow\Re, f(x) = cos(x)$

The cosine function is not injective, bijective nor surjective.

4) $f:\Re\rightarrow\Re \:f(x)=ex$

Since e, is euler number it's a constant. It's also injective, surjective and bijective.

5) Quite unclear format

$6) \:f:\Re\rightarrow(0,\infty), f(x) =ex$

Despite the Restriction for the CoDomain, the function remains injective, surjective and therefore bijective.

$7) f:\Re\geq 0 \rightarrow \Re\geq0, f(x) =x^{4}$

Not injective nor surjective therefore not bijective too.

$8).f:\{-1,2,-3\}}\rightarrow \{1,4,9\}, f(x) =x^{2}$

$f(-1)=1, f(2)=4, f(-3)=9$

Injective (one to one), Surjective, and Bijective.

$10) f:\Re\geq 0\rightarrow [-1,1], f(x)= cos(x)\\-1=cos(x) \therefore x=\pi,3\pi,5\pi,etc.$

Surjective.

$11.f:R\geq 0[-1,1], f(x) = 0\\$

Surjective

12.f: US Citizens→Z, f(x) = the SSN of x.

General function

13.f: US Zip Codes→US States, f(x) = The state that x belongs to.

Surjective

7 0

2 years ago