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Mamont248 [21]
3 years ago
10

Which is equivalent to the series shown?

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

first one is (d) second one is (b)

Step-by-step explanation:

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Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
4 years ago
How many different 3-digit numbers can be made using each of these digits shown below only once?
andrezito [222]
E cause you can miss match number and make more than 12
3 0
3 years ago
Which of the following illustrates the truth value of the given conditional statement?
Blababa [14]

Answer:

  • <u><em>Option A. F  T  →  F</em></u>

Explanation:

A conditional is represented by:

  • p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

<u>1. State the antecedent of the conditional and is truth value</u>

  • Antecedent: 6 > 10
  • Truth value: False, because 6 is not greater than 10.

<u>2. State the consequent of the conditional and its truh value</u>

  • 8 • 3 = 24
  • Truth value: True, because 8 times 3 is 24.

<u>3. Truth value of the conditional</u>

Hence, the truth value of the conditional is:

  • False      Truth        →     Truth, or
  • F   T   →   T

Which is the option A.

6 0
3 years ago
Read 2 more answers
Which shows the products ordered from least to greatest
alexgriva [62]

Answer:

Can you add a picture to your question?

Step-by-step explanation:

5 0
3 years ago
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What is the answer of this problem -7/3(3x-2)=-21 ?
weeeeeb [17]

Answer:

= 11/3

Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

-7 (3x-2) = -21

-----------------------

3

2. DISTRIBUTE

-7( 3x- 2) ➗ 3 =-21

3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

3 ( -21x + 14) ➗ 3 (-21)

5. MULIPLY THE NUMBERS

-21x + 14 = 3(-21)

6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

-21x + 14 = -63

7. SIMPLIFY

-21x = - 77

8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

-21x/-21 = -77/-21

9. SIMPLIFY

x = 11/3

3 0
3 years ago
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