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3 years ago

What is the product of 7.1 * 10^3 and 5.8 * 10^2 expressed in scientific notation?

Mathematics

2 answers:

elena-s [515]3 years ago

7 0

Answer:

411.8 · $10^{4}$

Step-by-step explanation:

7.1 · 10³ × 5.8 · 10²

7.1 × 5.8 = 41.18

10³ + 10² = $10^{5}$

41.18 · $10^{5}$

Scientific notation can only have one digit after the decimal.

411.8 · $10^{4}$

Nonamiya [84]3 years ago

3 0

Answer:

4.118 * 10^6

Step-by-step explanation:

When you multiply exponents, you just add the exponents together, so 10^2 * 10^3 is 10^5. Then you just multiply the 7.1 and the 5.8, which is 41.18. However, scientific notation should have only 1 digit above the decimal spot, so you make the number smaller from 41.18 to 4.118, so you add 1 exponent to the 10^5.

41.18*10^5 = 4,118*10^6

(EDIT, THE GUY WHO COMMENTED IS CORRECT, SCIENTIFIC NOTATION IS WHEN THE DIGIT IS GREATER THAN 1 OR LESS THAN 10, SO IT WOULD BE 4.118*10^6)

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I need help on my math

bekas [8.4K]

The answer is the second choice I believe

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3 years ago

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In 2000, Greenville had a population of 63,205 people. Greenville’s population increased by 2500 people each year. In 2000, Spri

Llana [10]

Answer:

year 6.6025 if there is no typo in your question and numbers are right.

Step-by-step explanation:

G = 63205 + 2500x

S = 50000 + 4500x

since 9% of 50000 = 0.09(50000) = 4500

find when G = S

63205 + 2500x = 50000 + 4500x

subtract both sides by 2500x to move x terms to the right

63205 = 50000 + 2000x

subtract both sides by 50000 to move the number to the left, so we can get like terms on each side

13205 = 2000x

divide both sides by 2000

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3 years ago

Find all roots.<br> 11) x^3 + 6x² + 5x = 0

Dmitrij [34]

Answer:

x=0

x=-1

x=-5

Step-by-step explanation:

To find the roots, we set the equation equal to zero and factor.

x(x²+6x+5)=0 [factor]

x(x+1)(x+5)=0 [set each factor equal to 0]

x=0

x+1=0 [subtract both sides by 1]

x=-1

x+5=0 [subtract both sides by 5]

x=-5

Now, we have found three roots, x=0, x=-1, x=-5.

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3 years ago

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vichka [17]

Answer:

21.92

Step-by-step explanation:

division

87.68 ÷ 4

6 0

2 years ago

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A packing box has the dimensions 3 by 2 by 5 1/2 feet. What is the volume of the box?

dem82 [27]

As already mentioned, the volume for a rectangular prism, namely a box in this case, is just the product of its dimensions, length * width * height.

$\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=3\\
W=2\\
H=5\frac{1}{2}
\end{cases}\implies V=3\cdot 2\cdot 5\frac{1}{2}
\\\\\\
V=3\cdot 2\cdot \cfrac{5\cdot 2+1}{2}\implies V=6\cdot\cfrac{11}{2}\implies V=3\cdot \cfrac{11}{1}
\\\\\\
V=33$

now, as far as another one... hmm is easier if you post in the channel, that way I can include any graphs if needed or tables and such.

so, what happens if you double up the dimensions?

$\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=6\\
W=4\\
H=10
\end{cases}\implies V=6\cdot 4\cdot 10\implies V=240\\\\
-------------------------------\\\\
\begin{cases}
L=6(2)\\
W=4(2)\\
H=10(2)
\end{cases}\implies V=6(2)8(2)10(2)\implies V=(2)(2)(2)6\cdot 8\cdot 10
\\\\\\
V=(8)6\cdot 8\cdot 10\implies V=(8)\stackrel{original~volume}{240}$

notice, how many times the new size is, is 8 times the original.

6 0

3 years ago