MATHEMATICS HIGH SCHOOL

Express the series using sigma notation. 6 + 9 + 12 + 15.

a
b
c
d

Answers

Answer 1

Answer:

Answer:

Option (d) is correct.

6 + 9 + 12 +15 = $\sum_(k=1)^(4)(3k+3)$

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

$\sum_(k=2)^(5)3k$ or $\sum_(k=1)^(4)(3k+3)$

Since, we have options to choose.

From the given option (d) matches our result.

So, 6 + 9 + 12 +15 = $\sum_(k=1)^(4)(3k+3)$

Answer 2

Answer:

Answer:

Step-by-step explanation:

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A scale drawing of a square has a side length of 5 millimeters. The drawing has a scale of 1 mm : 5 km. Find the actual perimeter and area of the square.

Answers

Answer:

Actual Perimeter = 100 km

Actual Area = 625 km²

Step-by-step explanation:

A scale drawing of a square has a side length of 5 millimeters.

The drawing has a scale of 1 mm : 5 km (which represents 1 mm is equal to 5 km)

We need to find the actual measurement of 5 mm square on scale.

1 mm = 5 km

5 mm = 5 × 5 km

= 25 km

The actual length of the side of square is 25 km

Now, we find the perimeter and area of the square.

Perimeter of square = 4 × side

= 4 × 25

= 100 km

Area of the square = side × side

= 25 × 25

= 625 km²

Hence, The actual perimeter is 100 km and area of the square is 625 km²

Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 5/8 feet and Grace threw it 39 3/5 feet. How far did the team throw the javelin? Show your work.

Answers

Answer:

Step-by-step explanation:

Claire................42 5/8

grace.............39 5/3

the team throw 42 5/8 + 39 5/3=

lets add first the 42+39=81

5/8+5/3 common denominator is 24

15/24+40/24=55/24=2 7/24

81+ 2 7/24=83 7/24

Answer:

Claire - 42 5/8

grace - 39 5/3

the team throw 42 5/8 + 39 5/3=

lets add first the 42+39=81

5/8+5/3 common denominator is 24

15/24+40/24=55/24=2 7/24

81+ 2 7/24=83 7/24

Step-by-step explanation:

The person above is correct. Have a nice day :]

Sams credit card balance is less than -$36. Does Sam owe more or less than $36

Answers

He owes more.

He has LESS than -36. So he getting further from zero.

So he could have -40 or something because that's less money than -36.

So because the negative number is bigger than 36, he will owe more than 36.

If his credit card balance is in the negative then he is OWED that amount by the credit card company in order to make his balance Zero.
If he owed that money to the credit card it would be a positive number. Your balance is what you owe to pay it to zero.

Y ^-7 / y ^-13 20 POINTS PLEASE HELP