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3 years ago

The area of Australia is approximately 7,000,000 km2 . Write this number in science notation. need help!

Mathematics

1 answer:

masya89 [10]3 years ago

7 0

7E6 or 7 x 10 to the sixth power

they both mean the same thing, they just are written different.

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The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its d

Vlad1618 [11]

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

L=36+8

L=44

So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D

8 0

3 years ago

Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.

Tanzania [10]

Answer:

$a_{n}$ = - 3 $a_{n-1}$

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence, that is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3

The recursive formula is of the form

$a_{n}$ = r $a_{n-1}$ = - 3 $a_{n-1}$

5 0

3 years ago

Which country was the first to industrialize on the continent of Europe

maxonik [38]

britain is your answer

5 0

3 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

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

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

Savings account A has 1500 and pays 3.5% interest yearly. Savings account B has 1400 and pays 4% interest yearly. the savings ac

Alex73 [517]

To find these numbers, we do this:
Savings Acc A:
1.35(1500) = 2025
Savings Acc B:
1.04(1400) = 1456
Savings Account A has earned the most interest.

7 0

3 years ago

Read 2 more answers