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3 years ago

0.2 Times 10^6 in scientific notatation

1 answer:

6 0

You could move the decimal to the right 6 times
0.2 x 10^6
0200000 or 200,000(remember that if there's only two digits there will be one less zero than the exponent)

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33,210 divide by (-9)=

soldier1979 [14.2K]

The answer is -3690.

3 0

3 years ago

Read 2 more answers

Find the number of possible outcomes in the sample space. The chess club must decide when and where to meet for a practice. The

Lesechka [4]

Solution

- The number of possible outcomes in the sample space is simply gotten by multiplying out all the events together.

- There are 3 possible days: Tuesday, Wednesday, or Thursday. Thus, there are 3 possible outcomes.

- There are 3 possible times: 3PM, 4PM, or 5PM. Thus, there are 3 possible outcomes again.

- There are also 9 possible classrooms available meaning another 9 possible outcomes.

- Thus, the total possible outcomes in the sample space is

$3\times3\times9=81\text{ possible outcomes}$

4 0

1 year ago

PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??

Romashka [77]

Answer:

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

7 0

3 years ago

Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of t

Roman55 [17]

Answer:

7 groups, 3 boys and 8 girls

Step-by-step explanation:

Let total number of groups be $x$

and total hikers in one group be $y$

if number of girls and boys in every group is same, then

$\frac{21}{x} + \frac{56}{x} = y$

$\frac{21 + 56}{x} = y\\x*y = 77$ ....(1)

from (1) $x$ will either be 11 or 7

for $x = 11$ the values won't be real.

For $x = 7\\y = \frac{77}{7} \\y = 11$

so there will be 7 groups with 11 hikers in each groups and every group will have $\frac{21}{7} = 3$ boys and $\frac{56}{7} = 8$ girls

6 0

3 years ago

Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

3 years ago