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Julli [10]
3 years ago
8

the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 ter

ms
Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

S_{30} = \frac{30}{2} [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

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Jane rode her bike at a steady speed of 15 km/h.
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Answer:

12

Step-by-step explanation:

1.3

20 ÷ 15 = 1.3

7 0
3 years ago
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I need help I watch anime though but fr I need help thx
Vilka [71]

Answer:

Step-by-step explanation:

In this question we have to find the expression for the value of temperature in terms of degrees Celsius.

Since, the given expression is,

F = 1.8C + 32

F - 32 = 1.8C + 32 - 32

F - 32 = 1.8C

\frac{F-32}{1.8}=\frac{1.8C}{1.8}

\frac{F-32}{1.8}=C

For F = C,

\frac{C-32}{1.8}=C

C - 32 = 1.8C

C - 1.8C = 32

-0.8C = 32

C = -\frac{32}{0.8}

C = -40

Therefore, at (-40°C) degrees of temperature degrees Fahrenheit and degrees Celsius are equal.

8 0
3 years ago
Order the following from least to greatest: |5|, -4, -|9|, -(-1), |-10|, -2.72
igor_vitrenko [27]

Answer:

-|9|, -4, -2.72, -(-1), |5|, |-10|

Step-by-step explanation:

numbers with | | around them have everything removed but the number.

7 0
3 years ago
Select all the points that are on the line through LaTeX: (0,5)( 0 , 5 ) and LaTeX: (2,8)( 2 , 8 ). Group of answer choices LaTe
Ivenika [448]

Answer:

The points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).

Step-by-step explanation:

The equation of the line passing through two points (x_1,y_1) and (x_2,y_2) is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, the equation of the line passing through two points (0,5) and ( 2, 8 ) is

y-5=\frac{8-5}{2-0}(x-0)

\Rightarrow y=1.5x+5\cdots(i)

For the point (4,11), pout x=4 in equation (i), we have

y=1.5\times4 +5=11, which is given y coordinate, hence this point (4,11) lies on the line.

For the point (5,10), pout x=5 in equation (i), we have

y=1.5\times5 +5=12.5, which is not the given y coordinate, hence the point (5,10) doesn't lie on the line.

For the point (6,14), pout x=6 in equation (i), we have

y=1.5\times6 +5=14, which is the given y coordinate, hence the point (6,14)  lies on the line.

For the point (30,50), pout x=30 in equation (i), we have

y=1.5\times30 +5=50, which is the given y coordinate, hence the point (30,50) lies on the line.

For the point (40,60), pout x=40 in equation (i), we have

y=1.5\times40 +5=65, which is not the given y coordinate, hence the point (40,60) doesn't lie on the line.

Hence, the points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).

4 0
3 years ago
Help with question thx so much
muminat

The mean price is much less than the median price

4 0
3 years ago
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