1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nana76 [90]
2 years ago
6

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As

tronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.

Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers
Mathematics
1 answer:
Dimas [21]2 years ago
5 0

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is 1.5 \times 10^8

A number in <em>scientific notation</em> is given by:

a \times 10^b

  • In which a \in [1, 10)
  • To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.  

In this problem, 1 AU = 150,000,000 km.

  • The comma has to move 8 places to the right, hence b = 8

Then, the measure is: 1.5 \times 10^8

For more on scientific notation, you can check brainly.com/question/16394306

You might be interested in
The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6
Arlecino [84]

Answer:

\approx \bold{6544\ in^3/sec}

Step-by-step explanation:

Given:

Rate of change of radius of cylinder:

\dfrac{dr}{dt} = +7\ in/sec

(This is increasing rate so positive)

Rate of change of height of cylinder:

\dfrac{dh}{dt} = -6\ in/sec

(This is decreasing rate so negative)

To find:

Rate of change of volume when r = 20 inches and h = 16 inches.

Solution:

First of all, let us have a look at the formula for Volume:

V = \pi r^2h

Differentiating it w.r.to 't':

\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)

Let us have a look at the formula:

1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))

3.\ \dfrac{dx^n}{dx} = nx^{n-1}

Applying the two formula for the above differentiation:

\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}

Now, putting the values:

\Rightarrow \dfrac{dV}{dt} = \pi \times 16\times 2\times 20 \times 7+\pi\times 20^2\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 22 \times 16\times 2\times 20 +3.14\times 400\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 14080 -7536\\\Rightarrow \dfrac{dV}{dt} \approx \bold{6544\ in^3/sec}

So, the answer is: \approx \bold{6544\ in^3/sec}

3 0
3 years ago
Use decimals to spray is 0.719 in expanded form
miss Akunina [59]
The answer would be 0.+0.7+0.01+0.009 hope it helps
6 0
3 years ago
My friend Coraz bought some hopts for $6 each and some rews for $4 each. The total cost was $120. Write an equation in standard
liq [111]

Answer:

7,8

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Elaine bought 3 4/5 pounds of apples for $1.99 per pound, 3/4 pound of pears for $2.25 per pound, and 3 2/3 pounds bananas for $
stiv31 [10]

Answer:

1.$6.41

2.$1.68

3.$7.56

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Click on the volume of this cube.
musickatia [10]
512, the formula for volume is length x width x height :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re
    7·1 answer
  • A principle evenly distributed 6 teams of copy papy to 8 fifth grade teachers
    10·1 answer
  • Y= 3x+6; (4,7) in slop intercept form
    8·1 answer
  • Complete the statements about the shapes on the graphs
    7·1 answer
  • Please help me solve these questions!!!
    14·1 answer
  • 4. Find the percent of increase from 56 to 70. Round your answer
    12·1 answer
  • Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator
    13·1 answer
  • H(x) = x2 – 5<br> Find h(-7)
    7·1 answer
  • What is the value of this expression?<br><br><br>6.4−2.4÷0.1
    10·2 answers
  • Chris owes $920 on his credit card, which has a credit limit of $1800.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!