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Firlakuza [10]
3 years ago
12

Write the number in scientific notation. 8,670,000,000

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer: 8.67 x 10^{9}

Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point. In this problem, we can write 8,670,000,000 as 8.670000000. Notice that there is only one digit to the left of the decimal point. Next, we count the number of places the decimal point would need to move to get back to our starting number which is 8,670,000,000. In this case, the decimal point would need to move 9 places to the right in order to get back to our original number. This would make our exponent positive 9 because we would need to move to the right 9 places. Lastly, we can drop any zeroes that are at the end of the decimal. Therefore, 8,670,000,000can be written in scientific notation as 8.67 x 10^{9}.

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I need to know if this H(3,2),J(4,1),K(-2,-4),M(-1,-5) is parallel perpendicular or neither I need to show my work and write my
Shkiper50 [21]

Answer:

Step-by-step explanation:

H(3,2)  & J(4, 1)

Slope = \dfrac{y_{2} -y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{1-2}{4-3}\\\\\\=\dfrac{-1}{1}\\\\= -1

K(-2,-4)  & M(-1 , -5)

Slope =\dfrac{-5-[-4]}{-1-[-2]}\\\\=\dfrac{-5+4}{-1+2}\\\\= \dfrac{-1}{1}\\\\\\= -1

Line HJ and KM have same slopes. So, they are parallel

6 0
3 years ago
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Answer c because .10 x 40 equals 4 plus 2
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What part of a relation is the set of all first components from each ordered pair?
Orlov [11]
The mathematical term for a set<span> of </span>ordered pairs<span> is a </span>relation<span>. A </span>relation<span> is any </span>set <span>of </span>ordered pairs<span>. The </span>set of all<span> first </span>components<span> of the </span>ordered pairs<span> is called the domain of the </span>relation<span>, and the </span>set of all second components<span> is called the range of the </span>relation<span>.

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Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
3 years ago
The quotient of m and 7
pochemuha
The expression would me m / 7 or m and 7 as a fraction. M is on the top
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2 years ago
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