All categories

3 years ago

Arithmetic Operations with Numbers Written Using Scientific Notation (1.2 × 10^15)/(3 × 10^7)

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

After multiplication number will be $3.6\times 10^{21}$

Step-by-step explanation:

We have given numbers $1.2\times 10^{15}\times 3\times 10^7$ which has to multiply using scientific notation

We have to multiply the given number using scientific notation

We know that when two number are multiplied then there exponent power is being added

When we multiply $1.2\times 10^{15}\times 3\times 10^7$ there power will be added and after multiplication number will be $3.6\times 10^{21}$

You might be interested in

The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?

Over [174]

You need to complete the square in x and in y,

$x^{2} + y^{2} + 6x + 4y + 10 = 1$

First, group the x-terms and the y-terms separately.

$x^{2} + 6x + y^{2} + 4y + 10 = 1$

Move the 10 to the right side by subtracting 10 from both sides.

$x^{2} + 6x + y^{2} + 4y = -9$

Now complete the square in x and in y.
The constant you need to add to complete each square is the square of half of the coefficient of the x or y term. Make sure to add the constants to both sides of the equation.

$x^{2} + 6x + 9 + y^{2} + 4y + 4= -9 + 9 + 4$

$(x + 3)^{2} + (y + 2)^{2} = 4$

8 0

3 years ago

1 3/4 = divided by 4

VARVARA [1.3K]

Answer:

7/16

Step-by-step explanation:

1 3/4 = 7/4

(7/4) / 4 = 7/4 * 1/4

7/16

5 0

3 years ago

Read 2 more answers

Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 p

PSYCHO15rus [73]

Answer:

10 liters of orange juice
5 liters of champagne

Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

12c +1.50(15-c) = 5.00(15)

10.5c = 52.50 . . . . . subtract 22.50, simplify

52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

4 0

4 years ago

For the function below, find a formula for the upper sum obtained by dividing the interval [a comma b ][a,b] into n equal subin

Vlad [161]

Answer:

See below

Step-by-step explanation:

We start by dividing the interval [0,4] into n sub-intervals of length 4/n

$[0,\displaystyle\frac{4}{n}],[\displaystyle\frac{4}{n},\displaystyle\frac{2*4}{n}],[\displaystyle\frac{2*4}{n},\displaystyle\frac{3*4}{n}],...,[\displaystyle\frac{(n-1)*4}{n},4]$

Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.

Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)

$\displaystyle\frac{4}{n}f(\displaystyle\frac{1*4}{n})+\displaystyle\frac{4}{n}f(\displaystyle\frac{2*4}{n})+...+\displaystyle\frac{4}{n}f(\displaystyle\frac{n*4}{n})=\\\\=\displaystyle\frac{4}{n}((\displaystyle\frac{1*4}{n})^2+3+(\displaystyle\frac{2*4}{n})^2+3+...+(\displaystyle\frac{n*4}{n})^2+3)=\\\\\displaystyle\frac{4}{n}((1^2+2^2+...+n^2)\displaystyle\frac{4^2}{n^2}+3n)=\\\\\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12$

but

$1^2+2^2+...+n^2=\displaystyle\frac{n(n+1)(2n+1)}{6}$

so the upper sum equals

$\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12=\displaystyle\frac{4^3}{n^3}\displaystyle\frac{n(n+1)(2n+1)}{6}+12=\\\\\displaystyle\frac{4^3}{6}(2+\displaystyle\frac{3}{n}+\displaystyle\frac{1}{n^2})+12$