The table below shows the approximate masses of a dust particle and a grain of pollen. dust particle 0.000000778 g grain of pollen 0.00000000155 g the mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b = the mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b = based on the estimates, the mass of a dust particle is approximately blank times larger than the mass of a grain of pollen.

b = -7

and

b = -9

The dust particle has 400 times more mass than the pollen particle

Step-by-step explanation:

To answer this problem we use scientific notation.

We know that a number like:

0, 002

It can be written as:

Where 3 is the number of times the comma (,) must be run to the right to convert the quantity 0, 002 to 2.

0, 002

0| 0 0 2

0 0| 02 -----------1

0 0 0|2------------2

0 0 0 2| ----------3

Therefore, for the given expression:

Powder particle 0.000000778 g

It can be written as:

 0.0000008 g

b = -7

In the same way

Pollen grain 0.00000000155 g

It can be written as:

0.000000002 g

b = -9

To know how big is the mass of the dust particle with respect to the pollen divide:

The dust particle has 400 times more mass than the pollen particle

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3