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3 years ago

13

An energy drink manufacturer wants to find out the effect of different amounts of their product on the maximum anaerobic power l

evel for rowers. Would an experimental or observational study design be more appropriate?

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

An experimental study

Step-by-step explanation:

An experimental study should be used. This will enable the energy drink manufacturer to have an experimental group and control group. Using experimental study, the effect of independent variables on the dependent variables can be determined with the amount of the drink consumed as the controlled factor.

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Which of the following is a solution to 2cos2x − cos x − 1 = 0?

Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, $x = 0^{\circ}$

Step-by-step explanation:

Given that : $2\cos^2x -\cos x -1 =0$

Let $\cos x =y$

then our equation become;

$2y^2-y-1= 0$ .....[1]

A quadratic equation is of the form:

$ax^2+bx+c =0$ .....[2] where a, b and c are coefficient and the solution is given by;

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

$y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}$

Simplify:

$y = \frac{ 1 \pm \sqrt{1+8}}{4}$

or

$y = \frac{ 1 \pm \sqrt{9}}{4}$

$y = \frac{ 1 \pm 3}{4}$

or

$y = \frac{1+3}{4}$ and $y = \frac{1 -3}{4}$

Simplify:

y = 1 and $y = -\frac{1}{2}$

Substitute y = cos x we have;

$\cos x = 1$

⇒ $x = 0^{\circ}$

and

$\cos x = -\frac{1}{2}$

⇒ $x = 120^{\circ} \text{and} x = 240^{\circ}$

The solution set: $\{0^{\circ}, 120^{\circ} , 240^{\circ}\}$

Therefore, the solution for the given equation $2\cos^2x -\cos x -1 =0$ is, $0^{\circ}$

8 0

4 years ago

Read 2 more answers

You have solved a system of equations by substitution and got one solution. How were you able to determine it was one solution?

sergeinik [125]

Answer: the variable can not be replaced by any other number

Step-by-step explanation:

7 0

3 years ago

Subtract (4x2 - x + 6) from (3x2 + 5x - 8).

bearhunter [10]

Step-by-step explanation:

$(4x^2-x+6)-(3x^2+5x-8)=4x^2-x+6-3x^2-5x+8$

By simplifying the right side of the equation, we come up with

$x^2+6x-14$ , or D

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3 years ago

1. 2. 3. Or. 4. Please help me I know is easy for u

Sedbober [7]

Answer:

3

Step-by-step explanation:

3

8 0

3 years ago

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I NEED HELP ASAP <br> FIND THE VALUE OF X

yaroslaw [1]

Answer: <em>15</em>

Step-by-step explanation:

<em>8x-60°</em>

<em>8(15)-60°</em>

<em>120°-60°</em>

<em>60°</em>

<em />

X WILL EQUAL 15 BECAUSE 120 - 60 WILL EQUAL 60!

THE TRIANGLE MUST ADD UP TO 180°!!

7 0

3 years ago

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