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a_sh-v [17]
2 years ago
10

Write 245,800,000 in scientific notation.

Mathematics
1 answer:
Olenka [21]2 years ago
3 0

Answer:

2.485x10^8

Step-by-step explanation:

You might be interested in
3. Cuál de las siguientes fracciones NO es equivalente a 6/11:
Readme [11.4K]

Answer:

C no es equivalente a 6/11.

Step-by-step explanation:

24/42 no es equivalente a 6/11 porque, cuando se simplifica, no es igual a este número. Si usamos el número 6 para simplificar, la respuesta a 24/42 sería 4/7, que no es igual a 6/11.

7 0
3 years ago
Read 2 more answers
In a cohort of 35 graduating students, there are three different prizes to be awarded. If no student can receive more than one p
sweet [91]

We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.

To solve this problem we will use permutations.

_{r}^{n}\textrm{P}={_{3}^{35}\textrm{P}}

We know that formula for permutations is given as

_{r}^{n}\textrm{P}=\frac{n!}{(n-r)!}

On substituting the given values in the formula we get,

{_{3}^{35}\textrm{P}}=\frac{35!}{(35-3)!}=\frac{35!}{32!}

=\frac{35\cdot 34\cdot 33\cdot 32!}{32!}\\
\\
=35\cdot 34\cdot 33=39270

Therefore, there are 39270 ways in which prizes can be awarded.


6 0
3 years ago
Solve.<br> 9x+9&gt; 50.4<br> Enter the answer in the box.<br> X &gt;
coldgirl [10]

<em>Rearrange unknown terms to the left side of the equation</em>

                   \boldsymbol{\sf{  9x > 50.4-9 \ \ \longmapsto \ \ \ [Subtract]}}

<em>Calculate the sum or difference.</em>

                                  \boldsymbol{\sf{9x > 41.4 }}

<em>Convert decimal to fraction.</em>

                                    \boldsymbol{\sf{9x > \dfrac{414}{10}  }}

<em>Reduce the greatest common factor for both sides of the inequality.</em>

<em>                                     </em>\boldsymbol{\sf{x > \dfrac{46}{10}  }}

<em>Reduce the fraction</em>

                         \red{ \boxed{\boldsymbol{\sf{\blue{ Answer \ \ \longmapsto \ \ x > \dfrac{23}{5}  }}}}}

3 0
2 years ago
Read 2 more answers
Find the equation of the directrix of the parabola x2=+/- 12y and y2=+/- 12x
PIT_PIT [208]

Answer:

  1. x^2 = 12 y equation of the directrix y=-3
  2. x^2 = -12 y equation of directrix y= 3
  3. y^2 = 12 x   equation of directrix x=-3
  4. y^2 = -12 x equation of directrix x= 3

Step-by-step explanation:

To find the equation of directrix of the parabola, we need to identify the axis of the parabola i.e, parabola lies in x-axis or y-axis.

We have 4 parts in this question i.e.

  1. x^2 = 12 y
  2. x^2 = -12 y
  3. y^2 = 12 x
  4. y^2 = -12 x

For each part the value of directrix will be different.

For x²  = 12 y

The above equation involves x² , the axis will be y-axis

The formula used to find directrix will be: y = -a

So, we need to find the value of a.

The general form of equation for y-axis parabola having positive co-efficient is:

x² = 4ay  eq(i)

and our equation in question is: x² = 12y eq(ii)

By putting value of x² of eq(i) into eq(ii) and solving:

4ay = 12y

a= 12y/4y

a= 3

Putting value of a in equation of directrix: y = -a => y= -3

The equation of the directrix of the parabola x²= 12y is y = -3

For x²  = -12 y

The above equation involves x² , the axis will be y-axis

The formula used to find directrix will be: y = a

So, we need to find the value of a.

The general form of equation for y-axis parabola having negative co-efficient is:

x² = -4ay  eq(i)

and our equation in question is: x² = -12y eq(ii)

By putting value of x² of eq(i) into eq(ii) and solving:

-4ay = -12y

a= -12y/-4y

a= 3

Putting value of a in equation of directrix: y = a => y= 3

The equation of the directrix of the parabola x²= -12y is y = 3

For y²  = 12 x

The above equation involves y² , the axis will be x-axis

The formula used to find directrix will be: x = -a

So, we need to find the value of a.

The general form of equation for x-axis parabola having positive co-efficient is:

y² = 4ax  eq(i)

and our equation in question is: y² = 12x eq(ii)

By putting value of y² of eq(i) into eq(ii) and solving:

4ax = 12x

a= 12x/4x

a= 3

Putting value of a in equation of directrix: x = -a => x= -3

The equation of the directrix of the parabola y²= 12x is x = -3

For y²  = -12 x

The above equation involves y² , the axis will be x-axis

The formula used to find directrix will be: x = a

So, we need to find the value of a.

The general form of equation for x-axis parabola having negative co-efficient is:

y² = -4ax  eq(i)

and our equation in question is: y² = -12x eq(ii)

By putting value of y² of eq(i) into eq(ii) and solving:

-4ax = -12x

a= -12x/-4x

a= 3

Putting value of a in equation of directrix: x = a => x= 3

The equation of the directrix of the parabola y²= -12x is x = 3

5 0
3 years ago
Identify the slope and the y intercept please
anyanavicka [17]

Answer:

m= 2 / 3  b= -2

Step-by-step explanation:

you have to look at the graph to find the y-intercept

then do this to find the slope

m =  

y2 - y1

x2 - x1

you plug in all the numbers to get

m=

<u>0+4</u>

3+3

(it would be 3 minus, negative 3 which looks like: 3- - 3 becomes 3+3)

m=

<u>4</u>

6

and simplified that would be

m= 2/3

6 0
2 years ago
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