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2 months ago

Write 9,540,000 in expanded form using exponents to show powers of 10

Mathematics

1 answer:

AnnZ [12.3K]2 months ago

6 0

Answer:

$9* 10^{6}+ 5* 10^{5}+4* 10^{4}$ .

Step-by-step explanation:

Given number: 9,540,000

Task: Express 9,540,000 in expanded form using powers of 10.

Solution: Start with 9,540,000

The digit 9 is in the millions place, representing 9,000,000

The digit 5 is in the hundred-thousands place, meaning 500,000

The digit 4 occupies the ten-thousands place, equal to 40,000

Expanded form is written as

9,000,000 + 500,000 + 40,000.

Expressing these as powers of 10:

$9* 10^{6}+ 5* 10^{5}+4* 10^{4}$ .

Therefore,

$9* 10^{6}+ 5* 10^{5}+4* 10^{4}$ .

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Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

AnnZ [12381]

The attached graph illustrates the region. The centroid's coordinates are (5/3, 1). The centroid's coordinates are determined by averaging the coordinates of the area; Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3 and O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1.

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1 month ago

Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.

babunello [11817]

Answer:

Her age is 40 years

Step-by-step explanation:

Let Jerry's age be represented as j

Let Marjorie's age be denoted as m

The first part of the question states:

j = 4 + m/2

For the second equation:

m = 3j - 32

Multiply the first equation by 2 to get:

2j = 8 + m

Leading to m = 2j - 8

Set both equations for m equal to each other:

2j - 8 = 3j - 32

By simplifying, we get:

3j - 2j = 32 - 8

Therefore, j = 24

Now substituting back:

m = 2j - 8

m = 2(24) - 8

Thus, m = 48 - 8

Final result: m = 40

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1 month ago

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options. b = 5 StartRoot 3 EndRoot b = Negative 5 Start

zzz [12365]

Answer:

b = 5√3

b = -5√3

Step-by-step explanation:

We have

$f(b)=b^{2}-75$

Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.

In this case

The roots of the equation are the b values for which f(b) equals zero.

Thus

For f(b)=0

$b^{2}-75=0$

$b^{2}=75$

Take the square root of both sides

$b=(+/-)\sqrt{75}$

Now simplify

$b=(+/-)5\sqrt{3}$

$b=5\sqrt{3}$ and $b=-5\sqrt{3}$

So we find that

b = 5√3

b = -5√3

8 0

2 months ago

Read 2 more answers

Write 337,060 in expanded from using exponents

Leona [12618]

Answer:

We start with the number 337 060.

Expanded form refers to a way of representing a standard form number in more detail.

This number will be converted to expanded form utilizing exponents.

=> 337 060

To begin, let's break down each component.

=> 300 000 = 3 x 10^5

=> 30 000 = 3 x 10^4

=> 7 000 = 7 x 10^3

=> 60 = 6 x 10^1

=> 3 x 10^5 + 3 x 10^4 + 7 x 10^3 + 6 x 10^1 – this is the expanded form of the number using exponents.

Step-by-step explanation:

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2 months ago

The amount of water flowing into a tank doubles every minute. The tank if full in an hour. When is the tank half full.

babunello [11817]

Given that the water in the tank doubles every minute, it implies that when the tank was full, it was half full just one minute prior. If it reaches fullness after 60 minutes, it was indeed double what it was a minute earlier. Hence, the opposite of doubling is halving. A minute before the tank filled completely, it was at half capacity. Therefore, it confirms that it was half full after 59 minutes.

7 0

2 months ago