Respuesta :
Answer:
The distance covered is [tex]2.1\times 10^{6}[/tex]
The value of y is 6.
Step-by-step explanation:
Given : A rocket ship is travelling at an average speed of [tex]1.75 \times 10^4[/tex] miles per hour.
To find : How many miles will the rocket ship travel in [tex]1.2 \times 10^2[/tex] hours and find the value of y in the solution expression?
Solution :
The speed is [tex]1.75 \times 10^4[/tex] miles per hour.
The time taken is [tex]1.2 \times 10^2[/tex] hours
The distance covered is [tex]d=s\times t[/tex]
[tex]d=(1.75 \times 10^4)(1.2 \times 10^2)[/tex]
Step 1 - Write the expression:
[tex](1.75 \times 10^4)(1.2 \times 10^2)[/tex]
Step 2 - Rearrange the expression :
[tex](1.75 \times 1.2)(10^4 \times 10^2)[/tex]
Step 3 - Multiply the coefficients :
[tex](2.1)(10^4 \times 10^2)[/tex]
Step 4 - Apply the product of powers :
[tex]2.1\times 10^{4+2}[/tex]
[tex]2.1\times 10^{6}[/tex]
The distance covered is [tex]2.1\times 10^{6}[/tex]
On comparing with [tex]2.1\times 10^{y}[/tex]
The value of y is 6 in the solution.
