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konstantin123 [22]
2 years ago
10

Use the calculator to find the product. (9. 1 × 109)(7. 5 × 102) What is the exponent of the power in scientific notation?.

Mathematics
1 answer:
____ [38]2 years ago
4 0

The exponent of the power is 11 in scientific notation.

<h3>Given </h3>

The numbers are;

The product of  (9. 1 × 10^9)(7. 5 × 10^2)

<h3>What is scientific notation?</h3>

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

To find the product of the given numbers follows all the steps given below.

The product of number is;

=(9.1 \times  10^9) \times (7.5 \times 10^2)\\\\= (9.1 \times 7.5) \times (10^{(9+2)})\\\\ =68.25 \times 10^{11}

Hence, the exponent of the power is 11 in scientific notation.

To know more about Scientific notation click the link given below.

brainly.com/question/4964086

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and
STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

P(A) = \frac{4}{52} = \frac{1}{13}

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

P(B|A) = \frac{12}{51}

What is the probability of choosing a king and then, without replacement, a face card?

P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181

0.0181 probability of choosing a king and then, without replacement, a face card.

5 0
3 years ago
Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.
kondaur [170]

Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

Rewrite the equation as,

f(x)=(7x-14)

Take out the negative sign from the bracket,

f(x)=-(-7x+14)

Rewrite the equation with positive terms first.

f(x)=-(14-7x)

Hence the given equation is equivalent to the option 1.

2) The given equation,

f(x)=7x-14

On solving further take out the 7 common from the bracket,

f(x)=7(x-2)

Thus the given equation is equivalent to the option 2.

3) The given equation,

f(x)=7x-14

Split the term of <em>x,</em>

<em />f(x)=4x+3x-14<em />

Rewrite the equation,

f(x)=3x-14+4x

Hence the given equation is equivalent to the option 3.

4) The given equation,

f(x)=7x-14

Split the term of <em>x </em>and constant term,

<em />f(x)=5x+2x-10-4<em />

Rewrite the equation,

f(x)=2x-10+5x-4

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

Learn more about the linear equation here;

brainly.com/question/11897796

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