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OlgaM077 [116]
3 years ago
12

simplify the expression. write the answer using scientific notation. (9x10^7)(7x10^9) 1.6x10^17 1.6x10^64 6.3x10^64 6.3x10^17

Mathematics
2 answers:
Daniel [21]3 years ago
5 0
The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \  10\ and\ n\in\mathbb{Z}\\----------------------------\\\\(9\cdot10^7)(7\cdot10^9)=(9\cdot7)(10^7\cdot10^9)=63\cdot10^{7+9}\\\\=63\cdot10^{16}=6.3\cdot10^{16+1}=6.3\cdot10^{17}
kvasek [131]3 years ago
4 0

Answer:

6.3\times10^{17}

Step-by-step explanation:

We have to multiply the expression

(9\times10^7)\times(7\times10^9)

We can rewrite this multiplication as

(9\times7(10^7\times10^9)

Now, use the exponent rule, x^a\cdot x^b=a^{a+b}

63\times10^{7+9}\\\\=63\times10^{16}

Finally, write in scientific notation

6.3\times10^{17}

Last option is correct.

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babunello [35]

Answer:

The wire is approximately 42feet long

Step-by-step explanation:

We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.

The hypotenuse side is the length of the wire we are looking for.

Parameters are given as:

Opposite : 30ft

Adjacent: 30ft

Hypotenuse: x feet

The hypotenuse = \sqrt{opp^2 + adj^2}

Hypotenuse =\sqrt{30^2+ 30^2} \approx 42ft

5 0
3 years ago
The circle graph shows the percent of the 300 votes each candidate received in the
adell [148]

Answer: 126.

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Also, mine was 200 instead of 300 and I got 84. So just plug in your number and boom.

6 0
3 years ago
The area of a rectangular
tankabanditka [31]

Answer:

2x+5

Step-by-step explanation:

Okay so lets first factor 2x^2+15x+25

2*25=50

10+5=15

10*5=15

(x+10/2)(x+5/2)

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3 0
2 years ago
The area of a square is (36d^2 - 360d + 9) in^2.
Ber [7]

Answer:

Step-by-step explanation:

36 d²-36 d+9=9(4d²+4d+1)

=9[4d²+2d+2d+1]

=9[2d(2d+1)+1(2d+1)]

=9(2d+1)(2d+1)

=9(2d+1)²

=[3(2d+1)]²

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when d=2

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8 0
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A deck of 52 cards is shuffled. The first five cards of the deck are red. What is the probability that the last card in the deck
saveliy_v [14]

Answer:

The answer is "\frac{1}{47}".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.  

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}

Thus, \frac{1}{47} here is the necessary chance.

7 0
3 years ago
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