We have been given an expression $(8.5\times 10^3)(2\times 10^5)$ . We are asked to find the solution to our given expression expressed as scientific notation.

Let us simplify our given expression.

Using exponent property $a^m\cdot a^n=a^{m+n}$ , we will get:

$8.5\times 2\times 10^3\times 10^5$

$17\times 10^{3+5}$

$17\times 10^{8}$

Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:

$1.7\times 10\times 10^{8}$

$1.7\times 10^{1+8}$

$1.7\times 10^{9}$

Therefore, our required solution would be $1.7\times 10^{9}$ .

8 0

3 years ago

9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the scr

Temka [501]

Answer:

12.2

Step-by-step explanation:

use the Pythagorean theorem to determine the diagonal

9.9^2 + 7.2^2 = d^2

d = 12.2

3 0

2 years ago

HELPPP frenss!!! HURRY j

Anastasy [175]

Answer:

(2, -7)

x = 2

y = -7

Step-by-step explanation:

Let's solve this system of equations by elimination.

Start by multiplying the first equation by 2:

$2(4x)+2(3y)=2(-13)\\8x+6y=-26$

Next, multiply the second equation by 3:

$3(-5x)+3(2y)=3(-24)\\-15x+6y=-72$

Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:

$8x+6y-(-15x+6y)=-26-(-72)\\8x+6y+15x-6y=-26+72\\23x=46$

Divide both sides by 23

$x=2$

Substitute 2 for "x" to solve for "y".

$4x+3y=-13\\4(2)+3y=-13\\8+3y=-13$

Subtract 8 from both sides:

$3y=-21$

Divide both sides by 3:

$y=-7$

Therefore the answer is:

$(x, y)=(2, -7)$

Additional Comments:

Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.

3 0

2 years ago