The scientific notation 3.14 x 10 -3 has what value? 0.000314
0.00314
0.0314
0.314

Answers

Answer 1
Answer: 3.14 x 10⁻³ has the value 0.00314

The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.

The negative sign of the exponent means that the decimal has to move to the right.

From 0.00314, decimal move to the right 0003.14

If the decimal is positive, it means that the decimal point moved to the left of the number.

3.14 x 10³ in expanded form is 3140 

From 3140. decimal move to the left 3.140



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Change the fraction to a decimal: 13/50

Answers

(13)/(50)=(13\cdot2)/(50\cdot2)=(26)/(100)=0.26

Identify the fraction as proper, improper, or mixed. 16/12

Answers

in form a/b
Proper fraction is when a<b or it is less than 1 (when top number less than bottom number)

Improper is when a>b or when it is more than 1 (when top number greater than bottom number)

Mixed is a whole number with a fraction example 1 and 2/3, it can be the result of converting an improper fraction into a whole number and a proper fraction


16/12
top is more than bottom

Improper fraction

List three multiples of 9.

Answers

Three multiples of 9 are :9,18,27,36. They are mutiples of 9 because their digits sum is nine and  all are exact number of 9 too.

Is 28 prime, composite, or neither?

prime
composite
neither

Answers

28 can be divided evenly by numbers other than 1 or itself, therefore it is composite

Answer:

28 is even.

It is divisible by 2,4,28,7,14

It is composite ( has more than 2 factors)

Step-by-step explanation:

A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located 15 blocks east and 22 blocks north of the central station. The last stop on the route is the airport, which is located 25 blocks west and 36 blocks south of the central station. A student calculated the middle stop along the bus route to be located 20 blocks east and 29 blocks north of the central station. Evaluate the student’s answer.

Answers

Answer:Student calculation is incorrect

Step-by-step explanation :

Given the First stop is the 8th Avenue Coffee Shop, which is located 15 Blocks east and 22 blocks north of the central station

and the last stop on the route is 25 blocks west and 36 blocks south of the central station .

Lets take the First stop co-ordinates be (15,22)

and last stop co-ordinates (-25,-30)

So there mid-point is x=(x_1+x_2)/(2)

y=(y_1+y_2)/(2)

x=(15-25)/(2)=-5

y=(22-30)/(2)=-4

Therefore middle stop is 5 blocks west and 4 blocks South

Thus calculated the middle stop incorrectly.

The student apparently added numbers without taking into account direction. They seem to have added 15 and 25 and divided by 2 to get the horizontal component of the middle stop when they should have added 15 and -25 and divided by 2. A similar mistake was made on determining the vertical component. The middle stop should have been calculated as 5 blocks west and 7 blocks south of the central station. So your answer is C.

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

\boxed {a_(24) = - 70}

Step-by-step explanation:

According to the following pattern sequence (-1, -4, -7, -10 ), it is Arithmetic Sequence, because every negative number is subtracted by 3. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

a_(n) = a_(1) +  (n - 1) d

a_(n): nth term in the sequence

a_(1): 1st term

n: term position

d: Common difference

-Apply to the formula:

a_(24) = -1 - 3 (24 - 1)

a_(n) = a_(24)

a_(1) = -1

n = 24

d = -3

-Solve:

a_(24) = -1 - 3 (24 - 1)

a_(24) = -1 - 3 (23)

a_(24) = -1 - 69

\boxed {a_(24) = - 70}

Therefore, the 24th term is -70.

Final answer:

The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.

Explanation:

To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).

So, the nth term formula for this sequence would be

nth term = -1 + (n-1)(-3)

To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.

Learn more about Arithmetic sequence here:

brainly.com/question/32830972

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