All categories

3 years ago

What is the quotient?

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

(A) $4X10^{12}$

Step-by-step explanation:

Given the quotient:

$\dfrac{6*10^8}{1.5*10^{-4}}$

To evaluate, we first separate the given expression as follows.

$=\dfrac{6}{1.5}X\dfrac{10^8}{10^{-4}}$

Next, we apply the division law of indices to the powers of 10.

Division Law of Indices: $\frac{a^x}{a^y}=a^{x-y}$

$=4X10^{8-(-4)}\\=4X10^{8+4}\\=4X10^{12}$

Therefore, our quotient is $4X10^{12}$ .

The correct answer is A.

You might be interested in

<img src="https://tex.z-dn.net/?f=55%20%5Cfrac%7B6%7D%7B9%3F%7D%20%20%5Ctimes%2066%20%5Cfrac%7B5%7D%7B6%7D%20" id="TexFormula1"

JulsSmile [24]

Answer:

Step-by-step explanation:

If you can present a problem in Latex, you can do anything. I don't know what the question mark is for. I'm just ignoring it.

55 2/3 * 66 5/6

One of the ways to get the answer is to use decimals

55.666666667 * 66.833333333 = 3720.38889

Another way to do this problem is to break up one of the numbers

55 2/3 (66 + 5/6) You can do this if you know how to use the distributive property.

55 2/3 * 66 + 55 2/3 * 5/6

( (165 + 2) / 3) * 66 + (165 + 2)/3 * 5/6

167/3 * 66 + 167 / 3 * 5/6

167 * 22 + (167 * 5 / (3 * 6)

3674 + 835 / 18

3674 + 46 7/18

3720 7/18

If none of these seem right and you have choices, please list them.

6 0

3 years ago

Convert 14871mm to centimetres.

PtichkaEL [24]

Answer:
1487.1 centimeters

4 0

2 years ago

Read 2 more answers

A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the

suter [353]

Answer:

$V = 518cm^3$

Step-by-step explanation:

Given

$h = 15cm$

$R = 6cm$

$r =5cm$

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

$V = \pi R^2h$

After the cut-out, the cylinder has a volume of:

$V = \pi [R^2 -r^2]h$

So, we have:

$V = 3.14* [6^2 -5^2]*15$

$V = 3.14* [36 -25]*15$

$V = 3.14* 11*15$

$V = 518cm^3$

6 0

3 years ago

-1/2y=1/2x+5 and y=2x+2

Anettt [7]

I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y. Please tell me if it's really -1/(2y).

(-1/2)y=(1/2)x+5

Multiplying both sides by -2

y = - x - 10

The other equation is

y = 2x + 2

We can equate them to find the meet

y = - x - 10 = 2x + 2

-3x = 12

x = -4

y = 2x + 2 = -6

Check: (-1/2)y=3, (1/2)x+5=3, equal, good

2x+2=2(-4)+2=-6=y, good

Answer: x=-4, y=-6

6 0

3 years ago

A recipe for 8 muffins requires 2 cups of flour how many muffins per cup of flour

Lyrx [107]

Answer:

4 muffins

Step-by-step explanation:

just divide 8 by 2 or see how many times 2 can go into 8.

5 0

3 years ago

Read 2 more answers