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3 years ago

What is the hcf of 36 and 42

1 answer:

7 0

$36|2 \\ 18|2 \\ 9 \ |3 \\ 3 \ |3 \\ 1 \\ \\ 36=2^2*3^2 \\ \\ \\ 42|2 \\ 21|3 \\ 7 \ |7 \\ 1 \\ \\ 42=2*3*7 \\ \\ H.C.F(36;42)=2*3=6$

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Which choice is equivalent to the expression below?

alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

Let's check the options:

A. For $5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}$

(It is the equivalent expression)

B. Add the exponents:

$5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}$

(It is not the equivalent expression)

C. For $5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}$

(It is not the equivalent expression)

D. We know that $5^{9.969}=9,290,347.808$ and we maje the addition indicated in this option, we get:

$5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37$

(It is not the equivalent expression)

6 0

4 years ago

Read 2 more answers

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

Vitek1552 [10]

(X-5)2+3(X-5)+9 = 0
let expand the equation
(x)x2-(5)x2 + 3(x)-3(5) + 9 = 0
2x-10+3x-15+9=0
collect like terms
2x+3x-10-15+9 =0
5x-10-6 =0
5x-16=0
5x=0+16
5x=16
divide both side by 5 we have
x=16/5

4 0

4 years ago

A card is drawn from a pack of 52 cards. Find the probability of drawing an ace given that it is diamond.4/521/132/134/13

ICE Princess25 [194]

Solution:

The probability of an event is expressed as

$P(event)=\frac{number\text{ of desired outcome}}{number\text{ of possible outcome}}$

In a pack of 52 cards, we have

$\begin{gathered} number\text{ of diamonds=13} \\ number\text{ of ace= 1} \end{gathered}$

Thus, we have the probability to be evaluated as

$P(ace)=\frac{1}{13}$

8 0

1 year ago

Hi can someone help me on this question?

kolezko [41]

Answer:

hi the answer is 4,700g is 4.7kg so Carmella's is the heaviest. because it is the greatest number hope it help and can you help me with a question

Step-by-step explanation:

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2 years ago

Show your work and write an expression by using these clues:

zepelin [54]

Answer: 10.1

Step-by-step explanation:

Step 1: 1,000 is greater than 100 but smaller then

Step 2: 10,000 1,000 is divided by 10,100 which =10.1

Step 3: and 10.1 is less than 100 greater than 1

5 0

4 years ago