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3 years ago

What is the series in sigma notation? -5 + (-1) + 3 + 7 + 11?

1 answer:

7 0

For the series:
- 5 + ( - 1 ) + 3 + 7 + 11
common difference between the numbers is 4 and a 1 = -5
The series in sigma notation:
4
∑ ( 4 i - 5 )
i =0

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6 tractors take 7 days to collect

Lyrx [107]

Answer:

= 1.75

Step-by-step explanation:

7/6 divided by 6

= 7/36

7/36 = x/9

Cross multiply fractions:

36x = 63

Divide each side by 36:

x = 7/4 or 1.75

3 0

3 years ago

The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0

3 years ago

Read 2 more answers

Devaughn's age is three times Sydney's age. The sum of their ages is <br> . What is Sydney's age?

g100num [7]

Answer:

syd is 23 and dev is 69

Step-by-step explanation:

Let Dev's age be x and Syd's age be y

Since Dev is 3 times older than Syd, we may write

Since the sum of their ages is 92, we may write

Now replacing x with 3y, we get :

Hence

and so Syd is 23 year old.

Back substituting we get Dev is 69 years old.

8 0

2 years ago

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You go to the store to buy icecream. The icecream comes in a cylindrical tub that has a diameter of 5 inches and is 4 inches tal

telo118 [61]

Answer:78.5

Step-by-step explanation:

First you find the volume of a cylinder then you plug in the answers don't forget that to find the radius you do diameter divided by 2

5 0

3 years ago

If you could help I would really appreciate it, but if not that’s fine. Thank you.

zloy xaker [14]

Answer:

2x - 5 if x ≤ 2

f(-1) = -7

Step-by-step explanation:

x ≤ 2 = (-1) ≤ 2

x > 2 = (-1) > 2

2x - 5

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-2 - 5

-7

8 0

2 years ago