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Taya2010 [7]
3 years ago
9

When converting measurements in the metric system, you can move the decimal point to the left or to the right. Why? Select all t

hat apply.
₋When converting from smaller to larger units, you are dividing by a power of 10.
₋Moving a decimal point is the same as adding or subtracting.
₋The metric system is based on powers of 10.
₋When converting from larger to smaller units, you are multiplying by a power of 10.
Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0

You are dividing by the power of 10. The metric system is based on multiples of 10, so you can convert meters to millimeters and vice versa fairly quickly by multiplying and dividing.

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What are the first four terms of the sequence represented by the expression n(n - 1) - 4?
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The first four are n,n,-1,-4
4 0
3 years ago
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Find the value of Y for the given value of x
LUCKY_DIMON [66]
Y=-4x+6 x=1
y=-4(1)+6
y=-4+6
y=2


6 0
3 years ago
Anyone want to help me with this? I will mark brainliest and thanks
Degger [83]

Answer:

x = -8

m∠BDC = 68°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

  • Definition of a Line: A line is 180°

Step-by-step explanation:

<u>Step 1: Set up Equation</u>

m∠BDC + m∠CDA = 180°

(-7x + 12)° + (-8x + 48)° = 180°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    -15x + 60 = 180
  2. Isolate <em>x</em> term:                              -15x = 120
  3. Isolate <em>x</em>:                                       x = -8

<u>Step 3: Find m∠BDC</u>

  1. Define:                    m∠BDC = (-7x + 12)°
  2. Substitute in <em>x</em>:       m∠BDC = (-7(-8) + 12)°
  3. Multiply:                  m∠BDC = (56 + 12)°
  4. Add:                        m∠BDC = 68°
6 0
3 years ago
A single card is drawn from a deck of 52 cards, find the following
aleksandr82 [10.1K]

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

  • There are total 52 cards.
  • 26 cards are red and 26 cards are black
  • Out of 26 red cards; 13 cards are of diamond and 13 cards are of heart
  • Out of 26 black cards; 13 cards are of spade and 13 cards are of clubs
  • In spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack

<u>a. result is a queen</u>

<em>Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart</em>

There are total 4 queens

Total number of cards is 52

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 4/52

Probability = 1/13

<u>b. result is a queen result is a face card </u>

<em>From my understanding, this question is result is a queen given that result is a face card.</em>

<em>Queen: 4 cards</em>

<em>Face card means King, Queen and Jack</em>

<em>Each set has one King, one Queen and one Jack</em>

<em>There are total 4 sets</em>

<em>Therefore, there are 4 Kings, 4 Queens and 4 Jacks</em>

<em>Face cards: 12-4 (because 4 queens have already been taken out) = 8</em>

<em>Total number of cards: 52-4 (because 4 queens have already been taken out) = 48</em>

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

<u>c. result is a heart</u>

<em>Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart</em>

Heart = 13 cards

Total number of cards = 52 cards

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 13/52

Probability = 1/4

<u>d. result is a heart | result is a red card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator</em>

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

<u>e. result is a heart result is a black card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator</em>

<em>= 26/39 = 2/3</em>

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

<u>f. result is a heart result is not a diamond</u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39</em>

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

4 0
4 years ago
4.7×10to the 9th power/376 what is the formula to find the answer
kakasveta [241]

Answer:4=1000000000 to the 9th power 376= 7292038183038293948 centimeters

Step-by-step explanation:

The rectangular rectangle is bended at a 83 degree angle which makes it 4=1000000000 to the 9th power 376= 7292038183038293948 centimeters

7 0
3 years ago
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