A prism is completely filled with 1120 cubes that have Edge Length of 1/2 inc what is the volume of the prism

What is an equation for this line?<br> A) x = 0 <br> B) y = -x <br> C) y = 1 <br> D) y = x

Lady bird [3.3K]

X=0 is the correct answer

4 0

3 years ago

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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

3 years ago

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HELP I WILL PUT U AS BRAINLIEST<br><br>Find g(2)<br>g(x) = x^2 - 4x

Dmitry_Shevchenko [17]

Answer:

-4

Step-by-step explanation:

g(2) means x=2

$2^{2}-4(2) = -4$

6 0

3 years ago

Green River State Park has two popular hiking trails: Overlook Trail and High Ridge Trail. On one particular day, 80 hiking grou

Kipish [7]

Answer:

B. Events H and C are dependent and P(H|C) < P(C|H)

Step-by-step explanation:

The ratios of groups with children to hiking groups on the trail are different for the two trails.

P(H|C) = 15/45 = 1/3

P(C|H) = 15/40 = 3/8

1/3 < 3/8 so the comparison of choice B is appropriate.

4 0

3 years ago

The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break

Setler [38]

The type of sampling method proposed is a <u>convenience sampling</u> because it's a non-probability sampling method.

<h3>What is convenience sampling?</h3>

Convenience sampling can be defined as a type of non-probability sampling method which involves surveying and selecting representatives that are easily accessible.

The CEO could implement the second sampling method as follows:

Assign a serial number to each employees of the total 4,700 employee names.

Use a random number generator software to obtain 600 random numbers.

The 600 random numbers in Step 2 above forms the desired sample of 600 employees out of 4,700 employees at the company.

Read more on convenience sampling here: brainly.com/question/1445924

#SPJ1

8 0

2 years ago