All categories

1 year ago

Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?

Mathematics

2 answers:

olasank [31]1 year ago

6 0

Answer:

Step-by-step explanation:

$\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}$

erik [133]1 year ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

dimaraw [331]

Answer:

D) n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3

Step-by-step explanation:

The given polynomial is 8mn^5 -2m^6 +5m^2 n^4 - m^3 n^3 + n^6 - 4m^6 + 9m^2n^4 -mn^5 - 4m^3n^3

Now we have to identify the like terms and simplify.

Like terms are nothing but the terms which have the same variables with same powers.

= (8mn^5 - mn^5) -2m^6 - 4m^6 + 5m^2 n^4 + 9m^2 n^4 - m^3n^3 - 4m^3n^3 +n^6

Now combine the like terms

= 7mn^5 - 6m^6 +14m^2 n^4-5m^3n^3 + n^6

It can be written in standard form

= n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3

The answer is D)

Hope this will helpful.

Thank you.

6 0

1 year ago

Read 2 more answers

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

p(x) and q(x) have different domains and different ranges

7 0

2 years ago

Read 2 more answers

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is d

AVprozaik [17]

Answer:

y=250x+4000
y=400x+400

Step-by-step explanation:

Given that:

x represents the number of months of ownership; and
y represents the total paid for the car after ‘x' months.

First Option (Leasing)

250x - y + 4000 = 0

Expressing the equation in the Slope-Intercept Form y=mx+b, we have:

y=250x+4000

Second Option (Financing)

$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).

First, we determine the slope of the line joining (0,400) and (10,4400)

$Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400$

We have:

y=400x+b

When y=400, x=0

400=400(0)+b

b=400

Therefore, the Slope-Intercept Form of the second option is:

y=400x+400

Significance

In the first option, there is a down payment of $4000 and a monthly payment of $250.
In the second option, there is a down payment of $400 and a monthly payment of $400.

Part B

We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.

i.e