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3 years ago

What is the factor that is affected as a result of changing the manipulated variable?

1 answer:

4 0

The factor that changes when the manipulated, or independent, variable is changed is known as the dependent variable. This variable is one of the two variables that are being investigated. When graphing the results of an experiment, the independent variable's values are placed on the x-axis of the graph and the values of the dependent variable are placed on the y-axis. An example of a manipulated variable and dependent variable relationship is seen in an investigation where the effect of temperature (manipulated) is seen on the amount of sugar that can be dissolved in water (dependent).

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The sum of series of 4+ 15 + 26 + ….. + 213

Gnom [1K]

Decompose the terms in the sum as

$4 + 15 + 26 + \cdots + 213 = 4 + (4 + 11) + (4 + 2\times11) + \cdots + (4 + 19\times11)$

so there are 20 terms in the sum. Then our sum simplifies to

$4 + 15 + 26 + \cdots + 213 = 4\times20 + (0+1+2+\cdots+19)\times11$

Now, if

$S = 1 + 2 + 3 + \cdots + 17 + 18 + 19$

we can reverse the order of terms to get the same sum,

$S = 19 + 18 + 17 + \cdots + 3 + 2 + 1$

so that doubling up the sum gives

$2S = (1 + 19) + (2 + 18) + \cdots + (18 + 2) + (19 + 1) = 19\times20 \implies S=19\times10=190$

So, our sum evaluates to

$4 + 15 + 26 + \cdots + 213 = 4\times20 + 190\times11 = \boxed{2170}$

5 0

2 years ago

Please help me, please

Murrr4er [49]

Answer:

8/27 yd³

Step-by-step explanation:

The equation for the volume of a cube of edge length s is V = s³.

If the edge length, s, is 2/3 yard, then the volume of this cube is:

V = (2/3 yd)³ = 8/27 yd³ (which corresponds to Answer C)

8 0

3 years ago

In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will

love history [14]

Answer:

1. JG (Jim gets first prize, George gets second prize)

2. JH (Jim gets first prize, Helen gets second prize)

3. JM (Jim gets first prize, Maggie gets second prize)

4. GH (George gets first prize, Helen gets second prize)

5. GJ (George gets first prize, Jim gets second prize)

6. GM (George gets first prize, Maggie gets second prize)

7. MJ (Maggie gets first prize, Jim gets second prize)

8. MG (Maggie gets first prize, George gets second prize)

9. MH (Maggie gets first prize, Helen gets second prize)

Step-by-step explanation:

The question asks for the list of outcomes in the event "Not A". We are looking for the reverse or negative of Event A.

The above given list is the list of outcomes in the event where Helen DOES NOT get first prize.

4 0

3 years ago

(1) Write a note on advantage of using a solar cooker?

kherson [118]

Answer:

Adding 12 to the circle area is equal to the square area.

s2 = 12 + A

Where

s = side of square

A = area of circle

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

4 0

3 years ago

I need help<br> Please help

MatroZZZ [7]

Answer:

x = 73 degrees

Step-by-step explanation:

Vertical angles are equal to each other so which means the answer for this question is x = 73 degrees.

8 0

3 years ago