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3 years ago

What is the place value of 1 in 5,678.321

1 answer:

6 0

The place value of 1 in 5,678.321 is one-one thousands. The one digit is the third place behind the decimal point. The first place behind the decimal point is three one-tenths. The second place behind the decimal is two one-hundredths. A decimal number is a division of one. In other words, it will take a thousand one-one thousands to equal one.

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

3 years ago

Read 2 more answers

If you know this please tell me all the answers

sp2606 [1]

1. 3n
2. 9x
3. 9wx
4. 5ac^2
5. 8wx^2
6. 4a^2 c

7 0

3 years ago

Joe says that x

irga5000 [103]

The equations x+5x=16
and x+5x+25=16
No, the equations are not equal. In order for an equation to be equal the equation x+5x=16 contains 25 less than the second equation.

6 0

3 years ago

Seven less than twice a number is negative five. What is the number?

otez555 [7]

Answer:

n = 1

Step-by-step explanation:

Represent the number by n. Then "seven less than twice a number is -5 becomes 2n - 7 = -5

Next we must solve for n. Adding 7 to both sides yields 2n = 2, so that

n = 1

5 0

3 years ago

The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the yea

Inga [223]

Answer:

Step-by-step explanation:

The sum of squares of the deviation from mean=sum(x-xbar)²=?

xbar=sumx/n

xbar=(12+6+15+9+18+12)/6=72/6=12

x x-xbar (x-xbar)²

12 12-12=0 0

6 6-12=-6 36

15 15-12=3 9

9 9-12=-3 9

18 18-12=6 36

12 12-12=0 0

sum(x-xbar)²=0+36+9+9+36+0=90

So, the sum of squares of the deviations from the mean is 90.

3 0

3 years ago