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
dlinn [17]
3 years ago
11

Simplify the quotient (4.5 x 10^3)/(9 x 10^7 ). Write your answer in scientific notation. Show your work.

Mathematics
2 answers:
marishachu [46]3 years ago
5 0
To answer the problem above, divide the numerical portion and the exponential portion of the given numbers. 4.5 divided by 9 is 0.5. Furthermore, 10^3 divided by 10^7 is 10^-4. The answer is 
                    
                                            0.5 x 10^-4

This may still be written in a standard form,
 
                                               5 x 10^-5

Thus, the answer is <em>5 x 10^-5</em>. 
                                    
nordsb [41]3 years ago
4 0

Answer:

The required solution is \frac{(4.5 \times 10^3)}{(9 \times 10^7)}=5\times 10^{-5}

Step-by-step explanation:

Given : Quotient  \frac{(4.5 \times 10^3)}{(9 \times 10^7)}

To find : Simplify the quotient and write your answer in scientific notation?

Solution :

The given quotient is \frac{(4.5 \times 10^3)}{(9 \times 10^7)}

We know, \frac{x^a}{x^b}=x^{a-b}

Now, we solve the quotient

=\frac{(4.5 \times 10^{3-7})}{9}

=0.5 \times 10^{-4}

The resultant in the scientific notation is =5 \times 10^{-5}

So, The required solution is \frac{(4.5 \times 10^3)}{(9 \times 10^7)}=5\times 10^{-5}

You might be interested in
Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi
natta225 [31]

Answer:

b. circle; 2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0

Step-by-step explanation:

The given conic has equation;

x^2-5x+y^2=3

We complete the square to obtain;

(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}

This is a circle with center;

(\frac{5}{2},0)

This implies that;

x=\frac{5}{2},y=0

When the circle is rotated through an angle of \theta=\frac{\pi}{3},

The new center is obtained using;

x'=x\cos(\theta)+y\sin(\theta) and y'=-x\sin(\theta)+y\cos(\theta)

We plug in the given angle with x and y values to get;

x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3}) and y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})

This gives us;

x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}

The equation of the rotated circle is;

(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}

Expand;

(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}

Multiply through by 4; to get

4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37

Write in general form;

4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0

Divide through by 2.

2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0

8 0
3 years ago
Literally putting this at 45 points. can someone help me please
sergiy2304 [10]

Answer:

  • 15.4%

Step-by-step explanation:

<u>Volume of a cylinder:</u>

  • V = πr²h

<u>Container A</u>

  • r = 10 ft, h = 11 ft
  • V = π*10²*11 = 1100π ft

<u>Container B</u>

  • r = 7 ft, h = 19 ft
  • V = π*7²*19 = 931π ft²

<u>After pump out the container A has the level of:</u>

  • 1100π - 931π = 169π

<u>Level % in the container A:</u>

  • 169π/1100π×100% = 15.4% rounded to the nearest tenth
4 0
3 years ago
How do I solve for the missing lengths?
Advocard [28]

Answer:

Part 4) ER=3\ units

Part 5) DF=9\sqrt{10}\ units

Part 6) DE=30\ units

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

EF^2=ER^2+RF^2

substitute the given values

(3\sqrt{10})^2=ER^2+9^2

solve for ER

ER^2=(3\sqrt{10})^2-9^2

ER^2=90-81\\ER^2=9\\ER=3\ units

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

DF^2=DR^2+RF^2

substitute the given values

DF^2=27^2+9^2

DF^2=810\\DF=\sqrt{810}\ units

simplify

DF=9\sqrt{10}\ units

Part 6) Find DE

we know that

DE=DR+RE ----> by segment addition postulate

we have

DR=27\ units\\RE=ER=3\ units

substitute

DE=27+3=30\ units

3 0
3 years ago
The ratio of nickles, dimes, and quarters in a jar is 3 : 4 : 7 respectively. If there are total 112 coins in a jar how many of
jasenka [17]

Step-by-step explanation:

Nickels = 112 * 3 / (3 + 4 + 7) = 24.

4 0
3 years ago
Read 2 more answers
I am thinking of a number that is at most 13.
zmey [24]

Answer:

you are thinking the number 10

8 0
3 years ago
Other questions:
  • Brian made a tasty burger. The diameter of the burger was 5 cm. What was the area of the burger?
    15·1 answer
  • Someone lmk what the answer is
    11·1 answer
  • Corey needs 24 boards that ate 47 1/ 2 inches long. How many feet of boards should he buy. Explain
    5·1 answer
  • Add. Simplify the answer to lowest terms before entering the numerator and denominator in their boxes. 47/148+29/148
    14·2 answers
  • A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is tak
    6·1 answer
  • What is the equation of the line shown in this graph?
    12·2 answers
  • Tell whether the function is linear. Then evaluate the function when x=-6 times f(x) = 3x + 4
    6·1 answer
  • Five students are running for Junior class president. They draw straws to see who will go first, second, etc. In how many differ
    9·1 answer
  • A card is drawn from a deck of 52 cards what is the probability that it is a number 2?
    10·1 answer
  • Find the magnitude of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!