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ella [17]
2 years ago
5

Write 3 × 3 × 3 × 3 × 3 × 3 using exponents. a. 123 b. 36 c. 63 d. 94

Mathematics
2 answers:
Serga [27]2 years ago
8 0

Answer:  The correct option is (b) 3^6.

Step-by-step explanation:  We are given to write the following product using exponents :

P=3\times3\times3\times3\times3\times3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following rule of exponents :

a^x\times a^y=a^{x+y}.

Therefore, from (i), we get

P\\\\=3\times3\times3\times3\times3\times3\\\\=3^1\times3^1\times3^1\times3^1\times3^1\times3^1\\\\=3^{1+1+1+1+1+1}\\\\=3^6.

Thus, the given product can be written as 3^6.

Option (b) is CORRECT.

GuDViN [60]2 years ago
5 0
The answer to your question is b 3 to the 6power. The reason why is there are 6 3 so instead writing 3*3*3*3*3*3 you can just do 3 to the 6 power. Hope this helps:)
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RUDIKE [14]

Answer:

<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of the TV set in 1999 = US$ 400

Annual increase rate = 2% = 0.02

2. Write an exponential model to represent this data.

Cost after n years = Cost in 1999 * (1 + r)ⁿ

where r = 0.02 and n = the number of years since 1999

Replacing with the real values for 2020, we have:

Cost after 21 years = 400 * (1 + 0.02)²¹

Cost after 21 years = 400 * 1.5157

Cost after 21 years = $ 606.28

The TV set costs $ 606.28 in 2020.

<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>

8 0
3 years ago
If JL=5x+2 find JL<br> 27<br> 3x-1
iris [78.8K]

Answer:

JL=3x

Step-by-step explanation:

JL=5x+2

-2. -2

JL=3x

8 0
3 years ago
Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sig
Fed [463]

Answer: PART A : \frac{4.4}{x} = \frac{3}{4}

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

\frac{h_{1}}{h_{2} } = \frac{L_{1}}{L_{2} }

PART A

\frac{4.4}{x} = \frac{3}{4}

PART B

\frac{4.4}{x} = \frac{3}{4}

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

6 0
3 years ago
What is 8.545 kg to the nearest hundredth And the nearest tenth?
Harrizon [31]
Nearest tenths - 8.5
Nearest hundredths- 8.55
5 0
3 years ago
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1
olasank [31]

Answer:

1,500

Step-by-step explanation:

Ratio of Sugar to Flour: 5:8 -> 25:40

Ratio of Flour to Baking Soda: 10:1 -> 40:4

Sugar to Flour to Soda: 25x:40x:4x

\frac{40x}{(4x+60)} = \frac{8}{1} -> x = 60

Sugar = 25x = 1,500

Hope this helps :)

7 0
2 years ago
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