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3 years ago

How to express -8+4-2+1 in sigma notation

1 answer:

3 0

It's pretty clear what the pattern is - 2^(k-1) * (-1)^(k-1) would work backwards, but we have to work forwards to get lower in this case, so we could start at -3 (as long as we put the k-1 in absolute value to make sure it's not 1/8), so we could write it as ∑ (k=1, goes to 4) 2^(|k-4|)*(-1)^(k-4)

It doesn't matter for k-4 because 1/-1 and 1/1 are the same thing as -1 and 1 respectively

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Help please!!

bazaltina [42]

Answer: Part A = (100% - 80%)P = 35, Part B = 140

Step-by-step explanation:

Percentage: Like + Don't like = 100%

80% + Don't like = 100%

-80% -80%

Don't like = 20%

People: 20% of Patrons = Don't Like

0.20 x Patrons = 35

÷ 0.20 ÷ 0.20

Patrons = 175

Now, let's write the equation we used to get that answer:

Let P represent the total number of patrons, then the equation is:

(100% - 80%)P = 35

= (1.00 - 0.80)P = 35

= 0.20P = 35

= P = 175

Part B:

80% of Patrons = Like

0.80 x 175 = Like

140 = Like

6 0

3 years ago

Which statement would make this true |-27|_____|-45| A.greater B.equal C.less

Effectus [21]

Answer:

I would say the answer is A.

Step-by-step explanation:

Hope it helps :)

7 0

2 years ago

The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?

Aleonysh [2.5K]

Answer:

a = 14.19 feet

Step-by-step explanation:

Given that,

The area of a square shaped yard is 201.5 ft²

We need to find the side length of this yard in feet.

The area of a square shaped object is given by :

A = a², a is the side length of the object

Put A = 201.5 ft² in above formula,

$201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}$

So, the side of the square yard is 14.19 feet.

8 0

3 years ago

If function f is a cubic polynomial which statement most accurately describes the function over the interview (0,1)

inysia [295]

Answer:

Option (B)

Step-by-step explanation:

From the given table,

With the increase in the values of x (from x = -2 to x = 2), values of the function is decreasing from x =2 to x = 4.

Interval (0, 1) lies in the domain of the function in which the y-values of the function are,

At x = 0,

f(0) = -6

At x = 1,

f(1) = 0

Therefore, values of the given function are increasing in the interval of (0, 1).

Option (B) will be the correct option.

7 0

3 years ago

Classwork for Ms. O'Brien's (Root X

alexandr1967 [171]

Answer:

4673 mm²

Step-by-step explanation:

Data

base: 51.7 mm

height: 90.39 mm

iPhone's screen is a rectangle. The area of rectangle is calculated as base*height. Replacing with data we get:

Area of rectangle = area of the iPhone's screen = 51.7 mm * 90.39 mm = 4673.163 mm² ≈ 4673 mm²

7 0

3 years ago