Mathematics, 19.11.2020 03:10 ynclankaedon

Plz help me thanks so much

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Answer from: Quest

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sorry if this isnt what you're looking for i dont really understand the question

Answer from: Quest

$7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m$

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

$1 nm = 10^{-9} m\\1 mm = 10^{-3} m$

let's start from the lower value, we have:

$700 nm = 700 \cdot 10^{-9} m = 7.00 \cdot 10^{-7} m$ (we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

$1 mm = 1 \cdot 10^{-3} m$

so, the range of wavelength of infrared radiation is:

$7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m$

Answer from: Quest

let f (x ) is a function and c be a positive real number, the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1, the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

Answer from: Quest

(a) common ratio in the given sequence is, 3

(b) $6.973568802 \times 10^9$ push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

$a_n = a_1r^{n-1}$ , where r is the common ratio between the successive terms and $a_1$ is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term $(a_1) = 6$

then;

$a_n = a_ 1 \cdot r^{n-1}$

$a_{20} = 6 \cdot 3^{20-1}$

simplify:

$a_{20} = 6.973568802 \times 10^9$

therefore, $6.973568802 \times 10^9$ push ups will do kendall do on the 20th week

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