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Anuta_ua [19.1K]
4 years ago
13

In an experiment, it is important that independent and dependent variables are given _____, which specify procedures for manipul

ating the independent variable and measuring the dependent variable.
Mathematics
1 answer:
Nata [24]4 years ago
3 0

Answer:

a relationship ( model equation)

Step-by-step explanation:

the relationship specifies how the dependent variable relies on the independent variable.This helps in manipulating of the variable to see its effect/outcome.The relationship can be mathematical or logical ; it can also be a set of algorithm (program) which can be worked on using the independent variables as inputs. Usually the independent variables influence the dependent variables.

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

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

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
4 years ago
Read 2 more answers
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?<br> –196<br> –168<br> 22<br> 78
nirvana33 [79]

Answer:

fg(-2)=f(5×-2+4)=f(-6)=8-10×-6=8+60=68

7 0
3 years ago
Read 2 more answers
Mark ran28.2miles less than cody.mark ran12.4 miles how many miles cody run
Mama L [17]
Mark ran 28.2 miles less than Cody, but Mark ran 12.4 miles, so Cody ran 40.6 miles.
miles Cody ran - miles Mark ran = 28.2
C - 12.4 = 28.2
C = 40.6 miles
8 0
3 years ago
Draw a diagram and explain how you can use it to find 3 ÷ 1/5​
NeTakaya

Answer:

3/1/5

3×5/1

15/1

15 you don't need diagram

6 0
3 years ago
Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers
jasenka [17]

Answer:

60  36   24

Step-by-step explanation:

5             3            2

25x +9x + 4x =   5472

38x  = 5472

x =  144

25(144) = 3,600         9(144) = 1,296           4(144) = 576

  60²  = 3,600                   36²= 1,296               24² = 576

3,600 + 1,296+576 =  5,472

7 0
3 years ago
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