Divide: 8.4 x 10^12 -------------- 4.2 x 10^6

sveta [45]

Answer:

400 x however long those ribbons are

Step-by-step explanation:

1 meter is 100 centimeters, and there are four rolls. so 4x100 equals 400, and you multiply that by the length that you didn't provide.

3 0

2 years ago

For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?

slava [35]

Answer:

All statements are true

Step-by-step explanation:

1. The statement $S_{500}>S_{499}$ is true, because $S_{499}$ is the sum of first 499 terms, $S_{500}$ is the sum of first 500 terms, and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement $S_{500}>a_{500}$ is true, because $S_{500}$ is the sum of first 500 terms, $a_{500}$ is 500th term and the sum of 500 terms is greater than the 500th term.

3. The statement $S_1=a_1$ is true, because $S_1$ is the sum of first 1 term that is exactly $a_1.$

All statements are true.

5 0

3 years ago

Sarah is paid biweekly. Her annual salary is $33,000.

bezimeni [28]

Answer:

$1269.23

Step-by-step explanation:

Since Sarah is paid biweekly (every 2 weeks), and there are 52 weeks in a year...

$52$ ÷ $2=26$

Sarah is being paid 26 weeks out of the year.

Divide 33,000 by 26 (I only list 4 places after the decimal):

$33000$ ÷ $26=1269.2307$

Round 1269.2307 to the nearest cent (hundredth):

$1269.23$

3 0

3 years ago

Tony has a bucket filled with green, blue, yellow, and red markers. He removes 3 markers from the bucket, with replacement. Sele

Margaret [11]

Answer:

Options A), B), C), D)

Step-by-step explanation:

There are 4 colors of markers.

Take out three "with replacement" markers.

As there is replacement, then the number of markers in the cube does not change in each trial.

A) There is a chance that when you get the three markers always get the same color.

B) It is likely to get a marker of each color

C) If 3 markers are taken it is likely to get the same amount of green and blue markers. For example, if there are 3 markers obtainable: blue, green, yellow. Then the number of blues and yellows is the same.

D) If 3 markers are taken it is likely to obtain the same amount of red and yellow markers. For example, if there are 3 markers you could obtain: red, yellow, blue. Then the number of reds and yellows is the same.

E) It is impossible for this to happen, because if only 3 markers of two different colors are taken, then there will always be 2 markers of one color and only one marker of another color:

green, green, yellow

blue, blue, green

blue, red, red .....

So the first 4 results are possible. Only the last result is impossible to obtain

5 0

3 years ago

X² - xy = 0 x + y = 1

wolverine [178]

Answer:

(0, 1 ) and ( $\frac{1}{2}$ , $\frac{1}{2}$ )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1 → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = $\frac{1}{2}$ : y = 1 - $\frac{1}{2}$ = $\frac{1}{2}$ ⇒ ( $\frac{1}{2}$ , $\frac{1}{2}$ )

3 0

3 years ago