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3 years ago

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Multiply (1.78 x 106) by (3.4 x 102). Express your answer in scientific notation. A) .6052 x 1012 B) 6.052 x 108 C) 6.052 x 1012

D) 60.52 x 108

1 answer:

AVprozaik [17]3 years ago

6 0

Answer:

C

Step-by-step explanation:

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What is the solution of the equation?. 3^5√(x+2)^3+3=27

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Find the value of x.

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X=180-125-39=16 degrees

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2 years ago

A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose sev

Julli [10]

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0

2 years ago

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 n

Andru [333]

To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. $10^{-8}$ .
So 0.000000016 expressed in scientific notation is 1.6x $10^-8$ , or in calculator notation 1.6E-8

We can conclude that the correct answers are <span>1.6E-8 and </span><span>1.6 × 10-8</span>

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3 years ago

Read 2 more answers

Four more than the quotient of a number and 3 is 9

barxatty [35]

The algebraic expression of "Four more than the quotient of a number and 3 is 9" is $\frac{x}{3}+4=9$

The value of x=15

Step-by-step explanation:

We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.

Let the number = x

Solving:

quotient of a number and 3: $\frac{x}{3}$

Four more than the quotient of a number and 3: $\frac{x}{3}+4$

Four more than the quotient of a number and 3 is 9: $\frac{x}{3}+4=9$

Now, finding value of x:

$\frac{x}{3}+4=9\\Adding\,\,-4\,\,on\,\,both\,\,sides:\\\frac{x}{3}+4-4=9-4\\\frac{x}{3}=5\\Multiply\,\,both\,\,sides\,\,by\,\,3:\\x=5*3\\x=15$

So, value of x = 15

Keywords: Algebraic expression

Learn more about algebraic expression at:

#learnwithBrainly

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2 years ago