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2 years ago

How do i use Scientific notation on these problems? Because I don't know...

Mathematics

1 answer:

saveliy_v [14]2 years ago

8 0

Answer:

Simplify the problems first

Step-by-step explanation:

Before you can convert it to scientific notation, you should simplify it first.

#1 for example:

$(4 \times 10^5)^2\\$

Use PEMDAS to solve the equation:

$(4 \times 10^5)^2\\= 400000^2\\= 160000000000$

So, now we have a super big number. To write it in scientific notation, put a decimal place in the number before the zeroes start. It would be $1.6 \times 10^{11}$ since there are 11 places after the decimal.

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(10.02)

melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

4 0

2 years ago

sergij07 [2.7K]

For this case we have the following arithmetic sequence:

$a_ {n} = 15 + 5 (n-1)$

To write in function form, we apply distributive property to the terms within parentheses:

$f (n) = 15 + 5n-5$

Different signs are subtracted and the major sign is placed.

We simplify:

$f (n) = 5n + 10$

Answer:

$f (n) = 5n + 10$

Option C

4 0

2 years ago

A shipment of 23 television sets contain three defective ones. In how many ways can a vending machine purchase four of these uni

Alex_Xolod [135]

$\frac{x}{y} \frac{x}{y} \frac{x}{y} \frac{x}{y} \frac{x}{y} \neq \sqrt{x} \sqrt[n]{x}$

4 0

2 years ago

Find the vertex of the function given below y=x^2-2x+1

Ymorist [56]

Hey there! :)

Answer:

(1, 0).

Step-by-step explanation:

Convert from standard form to vertex form by completing the square:

y = x² - 2x + 1

Move 1 to the other side:

-1 = x² - 2x

Complete the square. Remember to add to both sides:

-1 + (1) = x² -2x + 1

Simplify:

0 = (x - 1)²

The function in vertex form is:

y = (x - 1)²

Therefore, the vertex is:

(1, 0).

3 0

2 years ago

Help us please 4th grade work

Hoochie [10]

Answer: 10

Step-by-step explanation:

8 0

2 years ago

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