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mel-nik [20]
3 years ago
12

1) Complete the sentences to explain how to multiply 4.56 x 1,000.

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the right.

Division of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the left.

In this question:

We multiply the decimal 4.56 by 1000.

1000 is the 3rd power of 10, because 10^3 = 1000. So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

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Select the expressions that are equivalent to 34
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Answer:

81 9^2

Step-by-step explanation:

3•3= 9

3•3=9

9•9=81

and 9•9=81

6 0
2 years ago
Consider the infinite geometric series ∑∞n=1−4(13)n−1
vodomira [7]

Answer:

See below

Step-by-step explanation:

-4 (1/3)^(n-1)

Part A

<em><u>For n = 1</u></em>

-4(1/3)^(1 - 1)

-4(1/3)^0    Anything to the 0 power (except 0) is 1

-4 (1)

-4

<em><u>n = 2</u></em>

-4(1/3)^(2 - 1)

-4*(1/3)^1

-4/3

<em><u>n = 3</u></em>

- 4(1/3)^2

-4/9

<em><u>n = 4</u></em>

-4/(1/3)^3

-4 / 27

Part B

The series converges.

1/3 is between -1 <= 1/3 <= 1

Part C

<em><u>Formula</u></em>

Sum = a/(1 - r)

a = - 4

r = 1/3

Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6

3 0
3 years ago
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Kelly and 23 friends go roller skating they've had a total of $186 about how much does the cost for one person to the skate
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Simplify the following expressions. Put your a<br> (3x³-5x² - 7+ 4x4) + (9x4 - 10x² - 5x³ + 3) =
leonid [27]

first we need to get rid of the ( ) so that we can see what the question really says

(3x³-5x² - 7+ 4x4) + (9x4 - 10x² - 5x³ + 3)

= 3x³-5x²-7+4x⁴+9x⁴-10x²-5x³+3

now all we need to do is add up the numbers with the same x's

<em>3x³</em>-5x²-7<u>+4x⁴+9x⁴</u>-10x²<em>-5x³</em>+3

= 13x⁴-2x³-15x²-4

6 0
2 years ago
Plz help this should be easy and I will give brailiest
oee [108]

Answer:

Step-by-step explanation:

x - represents 1 point shots

(54 - x) - represents 2 point shots

x + 2(54 - x) = 89

x + 108 - 2x = 89

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x = 19 (1 point shots)

54-x = 35 ( 2 point shots)

Test:

19 + 35 = 54 (total shots)

19 x 1 = 19

35 x 2 = 70

70 + 19 = 89 points

5 0
3 years ago
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