Find the simplified form of each expression. give your answer in scientific notation.
(5 x 10^-7) (8 x 10^-4)

a) 4 x 10^13
b)4 x 10^-12
c)40 x 10^-10
d)4 x 10^-10

D)4 x 10^-10

Step-by-step explanation:

The given expression is

(5 x 10^-7) (8 x 10^-4)

Firstly, we would multiply the numbers on the left hand side of the 10. It becomes 5 × 8 = 40

Multiplying the 10's, we would apply the law of indices to the powers of 10. It is expressed as

a^2 × a^3 = a^(2 + 3) = a^6

Therefore,

10^-7 × 10^-4 = 10^(- 7 - 4) = 10^ - 11

The simplified form of each expression in scientific notation would be

40 × 10^ -11

= 4 × 10^ -11 +1

= 4 × 10^ -10

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:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950