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2 years ago

What is 6.729 x 10^6 in standard form?

Mathematics

1 answer:

storchak [24]2 years ago

6 0

4.052×106=4052000

Explanation:

The number is written in scientific notation, where we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.

In general notation power of 10 is not used and we multiply the number in single digit by the power of 10 to get it in simple standard decimal notation.

Multiplying by a positive power of 10 means moving decimal to right and in case power is negative (this is when the number is less than 1) it meanss moving decimal to left. This is done by the power of 10.

Here we have

4.052×106= 4.0520000×100000= 4052000.

= 4052000

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Andy has 310 in his account. Each week w he withdraws 30 for his expences which expression could be used if he wanted to find ou

Butoxors [25]

310-30x=y
310-30(8)=y
310-240=y
$60=y

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2 years ago

Here are the first four terms of a sequence.

Nataly_w [17]

Answer:

aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

We can compare this with simple quadratic sequence

1, 4, 9, 16

and find out that doubling each term gives us

2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

The first term:

a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1

The second term

a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1

The third term:

a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

The fourth term:

a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

The nth term as per observation above is:

aₙ = 2n² + n + 1

8 0

2 years ago

You walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 2

eimsori [14]

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

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2 years ago

Find the measure of each interior angle of a regular polygon with 10 sides.

Degger [83]

Answer:

add up c

Step-by-step explanation:

7 0

2 years ago

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

3 years ago