How many inches equal 2 and 1 ninth yards?

Simplify the product. Write the answer in standard form. (x2 + 4)(x+3)

Citrus2011 [14]

Answer:

x^3 + 3x^2 + 4x + 12

7 0

3 years ago

On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe

Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3>Answer:</h3>

Difference between Mercury's and Neptune's distance from the sun is $4.443 \times 10^9 \text{ km }$

<h3>Solution:</h3>

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = $4.5 \times 10^9 \text{ km }$

To find: Difference between Mercury's and Neptune's distance from the sun

Let us convert distance of mercury from sun to scientific notation

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

Steps to remember:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

$57, 000, 000 = 5.7 \times 10^7$

Therefore,

Distance of mercury from sun = $5.7 \times 10^7 \text{ km }$

Calculating difference between Mercury's and Neptune's distance from the sun:

difference = Distance of Neptune from sun - Distance of mercury from sun

$\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)$

Let us make both powers same

$\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)$

Taking 10 power 9 common we get,

$\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9$

Thus difference between Mercury's and Neptune's distance from the sun is $4.443 \times 10^9 \text{ km }$

3 0

4 years ago

Existe un número, tal que, el doble del cuadrado del número es 12 unidades mayor, que el quíntuplo (5) del número mismo, ¿cuál e

mrs_skeptik [129]

Answer:

I'm sorry sir or ma'am but can you please put what you said in English?

Step-by-step explanation:

;D

7 0

3 years ago

Two points in a transformation are J'(-3, 8) and J(0, 4). Which of the following translations was used?

FinnZ [79.3K]

Coordinate of real point = J(0, 4)
Then, Coordinate of Image = J'(-3, 8)

So, Factor: x = -3-0 = -3
y = 8-4 = 4

So, Your Final Answer would be: Option C) (x-3, y+4)

Hope this helps!

3 0

4 years ago

Read 2 more answers

The height of a room is 8 feet and 2 inches. If Maria is 64 inches tall, what is the distance from the top of her head to the ce

Natali [406]

Convert 8 feet and 2 inches to inches.

8ft * 12in/ft = 96in + 2 in = 98 in.

Now subtract the ceiling height from her height.

98in - 64in = 34in

6 0

4 years ago

Read 2 more answers