What is the solution to (3 x 10^2) (5 x 10^5) written in scientific notation?

(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smalle

leva [86]

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1 ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2 ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

4 0

3 years ago

Solve the equation x^13-2x^12-x^11+2x^10=0 in the real number system

Lemur [1.5K]

Answer:

x= -1, x=1 and x=2

Step-by-step explanation:

The equation is;

$x^{13} -2x^{12} -x^{11} +2x^{10} =0$

Using a graph tool to graph the equation and identify the solution you will have;

x= -1,

x=1

x=2

Check answers

when x=2

$2^{13}-2(2^{12} )-2^{11} +2(2^{10} )\\\\\\2^{13} -2^1(2^{12} )-2^{11} +2^1(2^{10} )\\\\\\2^{13} -2^{13} -2^{11} +2^{11} =0$

7 0

3 years ago

One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39

IrinaVladis [17]

Hey there! :)

Answer:

13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

39 / 3 = 13 packages.

4 0

4 years ago