Find the matrix that represents a rotation clockwise around origin followed by reflection about x

Researchers are investigating whether people who exercise with a training partner have a greater increase, on average, in target

bulgar [2K]

Answer:

1 - If method I is used, population of generalization will include all those people who may have varying exercising habits or routines. They may or may not have a regular excersing habit. In his case sample is taken from a more diverse population

2 - Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

Past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

7 0

3 years ago

Solve for x in the equation below(all in picture).

EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ( $\frac{x}{y}$ )

$log_{b}$ x = n ⇔ x = $b^{n}$

note that log x = $log_{10}$ x

Given

log (x² + 3x) - log10 = 0, then

log( $\frac{x^2+3x}{10}$ ) = 0, thus

$\frac{x^2+3x}{10}$ = $10^{0}$ = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0

2 years ago

Read 2 more answers

(8,72);y=x divided by 9

alexandr1967 [171]

Answer:

6800

Step-by-step explanation:

6 0

3 years ago

Rename 2 6/12 as a mixed number with a fraction greater than 1.

Dovator [93]

2 6/12 renamed as 2 1/2

6 0

2 years ago

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

KatRina [158]

Answer:

$y=3x+4$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points that the line passes through are $(x_1,y_1)$ and $(x_2,y_2)$

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

$=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$

$y=3x+b$

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into $y=3x+b$

$y=3x+4$

I hope this helps!

3 0

3 years ago