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Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8

Answer:

can you help me with chemistry? ill help with this if u help with my chemistry

Answer:

31

Step-by-step explanation:

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

The probability that a student does not play an instrument given that they play a sport is 4/23.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total number of students = 23

From the Venn diagram,

Number of students who play sport but not an instrument = 4

The probability that a student does not play an instrument given that they play a sport.

= 4/23

Thus,

The probability is 4/23.

Learn more about probability here:

https://brainly.com/question/14099682

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Answer:

Step-by-step explanation:

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Answer:

Its Spring break pls relax

Step-by-step explanation:

Answer:

C (0,-2)

Step-by-step explanation:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.

As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading

Note that this equation is linear since all of the terms in  

x and y are of degree at most  1.

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: [tex]\pi[/tex]r^2

r = 4, [tex]\pi[/tex] = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

Answer:

Step-by-step explanation:

3.14*4^2

3.14*16= 50.24

Answer:

A, resolving conflicts and negotiating with others

D,establishing and maintaining interpersonal relationships and F,communicating with supervisors, peers, or subordinates.

Step-by-step explanation:

Answer:

its A,B,D,F

developing objectives and strategies

assisting and caring for others

establishing and maintaining interpersonal relationships

interpreting the meaning of information for others

Answer:

[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]

[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]

[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]

Step-by-step explanation:

Given

[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]

Solving (a): The marginal density of X

This is calculated as:

[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]

[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]

[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]

Integrate

[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]

Substitute 1 and 0 for y

[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]

[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]

Solving (b): The marginal density of Y

This is calculated as:

[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]

[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]

[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]

Integrate

[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]

Substitute 1 and 0 for x

[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]

[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]

[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]

Solving (c): The probability that the drive-through facility is busy less than one-half of the time.

This is represented as:

[tex]P(x>0.5)[/tex]

The solution is as follows:

[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]

Represent as an integral

[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]

Integrate w.r.t. x

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]

[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]

[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]

[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]

[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]

[tex]P(x>0.5) =\frac{1.25}{3}[/tex]

Express as a fraction, properly

[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]

[tex]P(x>0.5) =\frac{5}{12}[/tex]

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

Answer:

34.72

Step-by-step explanation:

44.09/100 × 78.76

=34.72

Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

Z = (218 - 178) / 20 = 40 / 20 = 2

P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%

Answer:

x=56º

Step-by-step explanation:

The cube tells us that 34º and x must equal 90º

So we use what we know to find the missing piece

90º=34º+x

-34º -34º

56º=x

Answer:56

Step-by-step explanation:90+34+x=180 because triangles angels sums up to 180 degrees

180-124=x

56=x

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Answer:

6 gallons = 3.785 liters

Answer:

1.5850323141      

Step-by-step explanation:

Answer:

8 quarts and 1 pint

Step-by-step explanation:

there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over

Answer:

10.77 is correct answer

use x1=-5 ,x2=5

y1=4 y2=8

Answer:

A is acute and B is obtuse.

Step-by-step explanation:

This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.

Answer:

2nd person

Step-by-step explanation:

The term second person is used to describe a clause or piece of text in which the author is not referring to himself or herself but is referring to the second person that is you. When people being addressed are referred to in a sentence, the nature of the sentence is second person.

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

Answer:

[tex]x - 2y = -10[/tex]  

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:

[tex]y-8 = \frac{1}{2} (x-6)[/tex]

2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.

[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]

So, the answer is [tex]x - 2y = -10[/tex].

Answer:

w² + 4w - 525 = 0

Width of rectangle = 21 feet

Length of rectangle = 25 feet

Step-by-step explanation:

Given:

Area of rectangular floor = 525 ft²

Find:

Equation

Dimensions of the floor

Computation:

Assume;

Width of rectangle = w feet

So,

Length of rectangle = w + 4 feet

Area of rectangular floor = length x width

Area of rectangular floor = w(w + 4)

525 = w² + 4w

w² + 4w - 525 = 0

w² + (25 - 21)w - 525 = 0

w² + 25w - 21w - 525 = 0

w(w + 25) -21(w + 25)

(w + 25)(w - 21)

So,

w = -25 , w = 21

So,

Width of rectangle = 21 feet

Length of rectangle = w + 4 feet

Length of rectangle = 21 + 4 feet

Length of rectangle = 25 feet

Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

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Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.