A fundamental basis of regression analysis is the assumption of a. the lack of a relationship between independent variables. b. a curvilinear relationship between two weakly associated dependent variables. c. a uniform normal distribution between dependent variables. d. a straight-line relationship between the independent and dependent variables. e. the existence of two independent variables for every dependent variable.

Answer:

2x =3

The hanger image given in the figure represents balanced equation.

Then we have to write an equation to represent the image.

In balanced form left side = right side

x + x = 1 + 1 + 1

2x = 3

The value v is 9.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that is a structure showing a balanced hanger we need to find the value,

So we can say since the hanger is balanced therefore the weight both sides will be equal,

Therefore,

v + v + v = 27

3v = 27

v = 27

Hence the value v is 9.

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Answer:

look at the picture ..........

Answer:

2

Step-by-step explanation:

When the input is -1  ( the x value is -1)  what is the the output ( what is the value of y)

Using the graph, we got to x =-1 and go up and find y =2

When the input is -1 the output is 2

Answer:

X: input

Y: output

so if we input -1 we look at the graph to see the y value

2

Hope This Helps!!!

The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

The logarithmic equation is given as:

[tex]\mathbf{log_2(x-6) = 4}[/tex]

Apply exponential law of logarithm

[tex]\mathbf{(x-6) = 2^4}[/tex]

Remove the brackets

[tex]\mathbf{x-6 = 2^4}[/tex]

Add 6 to both sides

[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]

Express 2^4 as 16

[tex]\mathbf{x-6 +6= 6+ 16}[/tex]

Add -6 and 6

[tex]\mathbf{x= 6+ 16}[/tex]

Add 6 and 16

[tex]\mathbf{x= 24}[/tex]

Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

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Answer:

im sorry i dont know but you can try

Step-by-step explanation:

Answer:

x=4.6

Step-by-step explanation:

step 1 : calculate angle P since you know 2 angles

Step 2 : 57° - 90° = 180° [interior angles of a triangle ]

Step 3 : x/sin(33°) =7.1/sin(57°)

: x= 7.1Sin(33°)/sin(57°)

: x=4.6

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

2 points are marked already :

(-3, 4) (3, -4)

x changes by +6 (from -3 to 3)

y changes by -8 (from 4 to -4)

the slope is -8/+6 = -8/6 = -4/3

the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).

so, the y-intercept is 0.

Answer:

first one, u can't ride a decimal of a ride

Step-by-step explanation:

y = 7.50 + 2.50x

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:

[tex]e^{ln(x)} = x[/tex]:

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).

[tex]e^0 = 1[/tex]:

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

[tex]e^{ln(5x)[/tex]

Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:

5x

Therefore, the correct option is "5x."

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

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Answer:

5 + (-5) and 8 + (-8)

Step-by-step explanation:

Sum of zero means when you add them you get 0

so the others are wrong

-5 + (-5) = -10 because you have -5 and you add another -5

-12 + (-12) = -24 you start with -12 and you add another -12

Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.

need points so

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x^2-2x+4-5x^2+6x-8 = -2x^2-8x+12

Answer:

[tex]\frac{1}{32}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]

Answer:  X =  2 2/3

Step-by-step explanation:

4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.

Let X be the "number."  Translate the sentence:

(4 5/9) = ((2 1/3) + (5/6))*X

"4 5/9 is the same":  (4 5/9) =

"as the sum of 2 1/3 and 5/6":  ((2 1/3) + (5/6))

"times a number": *X

Put them all together:

(4 5/9) = ((2 1/3) + (5/6))*X

(41/9)-(7/3) = (5/6)X

(41/9)-(21/9) = (5/6)X

(20/9) = (5/6)X

X = (20/9)*(6/5)

X = 120/45

X = 2 30/45 or 2 2/3

Answer:

slope: 2/3

y intercept: -1

Step-by-step explanation:

slope: rise/run

Answer:

[tex]x_1= 6, x_2=5[/tex]

Step-by-step explanation:

Well well well, let's write it down as an equation

[tex]2x^2-x+55 = (x+5)^2[/tex]

And then let's just do what's asking us to do

[tex]2x^2-x+55 = x^2+10x+25\\x^2-11x+30=0[/tex]At this point, it's quadratic formula time. Let's first calculate [tex]\Delta = b^2-4ac[/tex] to simplify the process

[tex]\Delta = 121-4(1)(30) = 121-120=1[/tex]

[tex]x= \frac{11\pm1}{2}; x_1= 6, x_2=5[/tex]

Answer:

-m

Step-by-step explanation:

2m+3m+(-6m)=2m+3m-6m

                      =5m-6m

                      =-m

Answer:

-m

Step-by-step explanation:

2m+3m+(-6m)​

Remove parentheses.

2m+3m-6m

Add and subtract.

-1m or -m

Hope this helps :)

Answer:

5261.436 would be the answer

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

Answer:

If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.

Step-by-step explanation:

17 percent because the answer is 16.72 percent but when you round it up you get 17.

Answer: x=45/3

Step-by-step explanation:

Answer:

  multiply the numerators; express that product over the product of the denominators

Step-by-step explanation:

Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.

  [tex]\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]

The numerator of the product is the product of the numerators.

The denominator of the product is the product of the denominators.

Answer:

1160 will be the new amount after 2 years

Step-by-step explanation:

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Therefore 1160 is the new amount after two years.

Answer:

Yep, they are all correct

Both the answers are correct

Answer:

6.5757459e+14

Step-by-step explanation:

is your answer

Answer:

6.5757459e+14

Step-by-step explanation:

6.5757459e+14

Answer:   0.53846153846154

Step-by-step explanation:   you do

= 14/26

= 14 ÷ 26

= 0.53846153846154

Answer:

0.27

Step-by-step explanation:

0.1 8

x 0.50

-----------

000

900

x 1800

-----------

2700 = 0.27

Answer:

wow. at this point just guess

Step-by-step explanation: