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3 years ago

Simplify the expression. Write the answer using scientific notation. (5 x 10^7) (6 x 10^4)

1 answer:

6 0

The answer is 3.0×10¹².

(5×10⁷)(6×10⁴)
(5×6)(10⁷×10⁴)
30×10⁷⁺⁴
30×10¹¹

Since the constant cannot be greater than 10, move the decimal point to the left.
30×10¹¹
3.0×10¹¹

The decimal was moved by one space, so the constant must be multiplied by 10 the one power. The 10 to the eleventh power still needs to be multiplied as well.

3.0×10¹⁺¹¹
3.0×10¹²

Since two exponents with the same base are being multiplied, it can be simplified by adding the exponents. Therefore, the final answer is 3.0×10¹².

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7) Explain how to divide $53.56 by 10 WITHOUT USING A CALCULATOR

Sophie [7]

Answer: Okay first think back you surely have divided whole numbers by 10 it is the same with decimals for each 0 in the thing you are dividing it by you move the dot one to the left. So if you divide it by 10 it is 5.356 by 100 it would be 0.5356.

Hence the answer is 5.356.

Step-by-step explanation:

Hope it helps

4 0

2 years ago

The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its wei

IrinaVladis [17]

Answer:

3/5 kg

Step-by-step explanation:

The weight of an object on Moon is 6 times smaller than same on Earth.

If it weights 18/5 kg on Earth then its weight on Moon is:

18/5 * 1/6 = 3/5 kg

4 0

2 years ago

Read 2 more answers

A rectangular parking lot has an area of 15,000 feet squared, the length is 20 feet more than the width. Find the dimensions

faust18 [17]

Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet

<h3>Solution:</h3>

Given that

Area of rectangular parking lot = 15000 square feet

Length is 20 feet more than the width.

Need to find the dimensions of rectangular parking lot.

Let assume width of the rectangular parking lot in feet be represented by variable "x"

As Length is 20 feet more than the width,

so length of rectangular parking plot = 20 + width of the rectangular parking plot

=> length of rectangular parking plot = 20 + x = x + 20

The area of rectangle is given as:

$\text {Area of rectangle }=length \times width$

Area of rectangular parking lot = length of rectangular parking plot $\times$ width of the rectangular parking

$\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}$

But it is given that Area of rectangular parking lot = 15000 square feet

$\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}$

Solving the above quadratic equation using quadratic formula

General form of quadratic equation is

${ax^{2}+\mathrm{b} x+\mathrm{c}=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = 20, a = 1 and c = -15000

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}$

$\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}$

As variable x represents width of the rectangular parking lot, it cannot be negative.

=> Width of the rectangular parking lot "x" = 112.882 feet

=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882

Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.

3 0

3 years ago

a rectangular prism has a volume of 729 ft3. the length, width, and height are all the same. what is the length of each sode of

Neporo4naja [7]

So in this case we just want to find the cubic root of this.
Cubic roots:
1: 1
2: 8
3: 27
4: 64
5: 125
6: 216
7: 343
8: 512
9: 729
So each side of the rectangular prism is 9 feet long.

8 0

3 years ago

The ratio of the walking speeds of three people

Blababa [14]

3 : 4 : 5 = 3² : 4² : 5² = 9 : 16 : 25

The answer is B.

Hope this helps.

6 0

3 years ago