Prove the identity
[tex]4 \sin(x) \cos(x) = \frac{ \sin(4x) }{ \cos(2x) } [/tex]
​

a) La utilidad marginal al precio de $ 5 es 1.091.

b) La utilidad marginal al precio de $ 10 es 0.662.

c) La utilidad marginal al precio de $ 15 es 0.402.

La utilidad marginal es la derivada de la función utilidad. Si [tex]r(p) = 2\cdot p\cdot e^{-0.1\cdot p}[/tex], entonces la función de utilidad marginal es la siguiente:

[tex]r'(p) = \frac{dr}{dp}[/tex]

[tex]r'(p) = 2\cdot e^{-0.1\cdot p}-0.2\cdot e^{-0.1\cdot p}[/tex] (1)

Ahora procedemos a evaluar (1) para cada valor citado en el enunciado:

a) $ 5

[tex]r'(5) = 2\cdot e^{-0.1\cdot 5}-0.2\cdot e^{-0.1\cdot 5}[/tex]

[tex]r'(5) = 1.091[/tex]

La utilidad marginal al precio de $ 5 es 1.091.

b) $ 10

[tex]r'(10) = 2\cdot e^{-0.1\cdot 10}-0.2\cdot e^{-0.1\cdot 10}[/tex]

[tex]r'(10) = 0.662[/tex]

La utilidad marginal al precio de $ 10 es 0.662.

c) $ 15

[tex]r'(15) = 2\cdot e^{-0.1\cdot 15}-0.2\cdot e^{-0.1\cdot 15}[/tex]

[tex]r'(15) = 0.402[/tex]

La utilidad marginal al precio de $ 15 es 0.402.

Invitamos cordialmente a ver esta pregunta sobre utilidad marginal: https://brainly.com/question/25517381

Answer:

Which Angles are you talking about?

Angles A and B?

Step-by-step explanation:

Answer:

-x + 2y + 1 > 0

Step-by-step explanation:

Let's find the equation of the dashed line first. From the graph, we can see that it has a slope of 1/2 and a y-intercept of -1/2 so using slope-intercept form, the equation of the line is y = 1/2x - 1/2. Since the line is dashed and not solid, we know that we will use either < or > instead of ≤ or ≥, and because we can see that the shaded region is above the dashed line, we know that the linear equation is y > 1/2x - 1/2. However, we want the answer to be in the form ax + by + c > 0 where a, b, and c are integers so therefore:

y > 1/2x - 1/2

= 2y > x - 1

= -x + 2y + 1 > 0

A linear inequality is an expression which make comparison between linear expressions using inequalities. The linear inequality of the graph is: [tex]-x + 2y +1 > 0[/tex]

First, we calculate the slope of the dashed line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Two points on the graph will be:

[tex](x_1,y_1) = (1,0)[/tex]

[tex](x_2,y_2) = (3,1)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1-0}{3-1}[/tex]

[tex]m = \frac{1}{2}[/tex]

The equation of the line is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have;

[tex]y = \frac12(x - 1) + 0[/tex]

[tex]y = \frac12(x - 1)[/tex]

Multiply through by 2

[tex]2y= x - 1[/tex]

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <. Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

[tex]2y > x-1[/tex]

Rewrite as:

[tex]-x + 2y +1 > 0[/tex]

So, the linear inequality is: [tex]-x + 2y +1 > 0[/tex]

Learn more about linear inequality at:

https://brainly.com/question/19491153

Given that :-

Sum of 20 numbers is 9

To find

Sum of these numbers after increasing each number by 0.03

Solution :-

→ We have to increase each number by 0.03. It means that we have to add 20 times 0.03.

→ So the increase in sum of number will be 20(0.03)

→ 20(0.03) = 0.6

→ Earlier sum was 9.

After increase oof 0.6 new sum is 9+0.6

Answer is 9.6

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

Answer:

a(4+5a+2a+a) or

a(5a+2a+a+4)

Step-by-step explanation:

You could take out one A from each number since they all have an A in them. You could reorganize it and put it in numerical order. Hope this helped :)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

3[tex]x^{2}[/tex]+x-3= [tex]x^{2}[/tex] - 5x

combine like terms

3[tex]x^{2}[/tex] +[tex]x^{2}[/tex]= 4[tex]x^{2}[/tex]

x -5x = -4x

then combine 4[tex]x^{2}[/tex] and -4x

Answer:

q = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

3(q + [tex]\frac{4}{3}[/tex] ) = 2 ← distribute left side

3q + 4 = 2 ( subtract 4 from both sides )

3q = - 2 ( divide both sides by 3 )

q = - [tex]\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

x=-5, y=2 and z=0

-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30

Answer:

The sum −3 is an indication that Sally is 3 feet below her initial position.

Step-by-step explanation:

Represent the distances going up (ascend) as positive and distances going down (descend) as negative so that the sum is:

224 + (-131) + 67+ (-163)

Add by using the commutative property:

224 + 67 + (-131) + (-163) = 291

The sum −3 is an indication that Sally is 3 feet below her initial position.

Answer:

B; C; A; B

Step-by-step explanation:

So, let's go through each of the choices.

So we know that one of the angles is 60 degrees.

I) The triangle is scalene.

This might be true. Since there are 180 degrees in a triangle, and we know 60, that leaves 120 degrees. Anything two combinations of different values that add up to 120 will make the triangle scalene. However, if the two values are the same (e.g. 60;60), they it's not scalene. Thus, this might be true.

II) The other two angles add up to 120.

This must be true. The interior angles sum of a triangle is 180. Since we already know one is 60, then the other two must add up to be 180-60 or 120.

III) The other two angles are obtuse.

This cannot be true. We know that there is only 120 degrees left in the triangle. Obtuse angles are greater than 90 degrees.

Therefore, if we subtract the minimum: 120-90, we will get at most 30 left. This is not enough for another obtuse angle. The most we can have is one obtuse angle and two acute angles.

IV) The triangle is right-angled.

This might be true. Since there are 120 degrees left, the other two degrees may be 90 and 30, given us 30-60-90. This, however, doesn't have to be it. So, this statement may be true.

Answer:

[tex]solution set={n/n > -13/5}[/tex]

Step-by-step explanation:

[tex]5n + 3 > -10\\subtracting 3 on both sides\\5n + 3-3 > -10-3\\5n > -13\\n > -13/5 is the answer[/tex]

hope it will help :)

Isolate n:

5n + 3 > -10

Subtract 3 from both sides:

5n > -13

Divide both sides by 5:

n > -13/5

n > -2.6

An integer is a whole number, so the smallest whole number that would make the statement true would be -2:

5(-2) + 3 = -10 +3 = -7

5(-3) + 3 = -15 + 3 = -10

Since -7 is greater than -10, the answer is -2

Answer:

4.57°

Step-by-step explanation:

tan ∅ = ∆y / ∆x

tan ∅ = 8/100 = 2/25

∅= 4.57°

Answer:

y = [tex]\frac{21}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{6}[/tex] y - [tex]\frac{1}{2}[/tex] = 3 - [tex]\frac{1}{2}[/tex] y

Multiply through by 6 to clear the fractions

y - 3 = 18 - 3y ( add 3y to both sides )

4y - 3 = 18 ( add 3 to both sides )

4y = 21 ( divide both sides by 4 )

y = [tex]\frac{21}{4}[/tex] = 5.25

Answer:

Option a

4 is correct answer

hope it helped you:)

Answer:

1

Step-by-step explanation:

Answer:

[tex]E. \frac{5}{9} < \frac{4}{7} < \frac{2}{3}[/tex]

Answer:

she ran 1 1/8  miles

Answer:

Step-by-step explanation:

y + 4 = -9(x + 1)

y + 4 = -9x - 9

y = -9x - 13

Answer:

one angle 100

another angle=80

Step-by-step explanation:

supplementary angles =180

4x+5x=180

9x=180

x=180/9=20

one angle=5x=5(20)=100

another angle=4x=4(20)=80

100+80=180

Answer:

Step-by-step explanation:

Let the ratios be 4x and 5x

[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )

Collect like terms

⇒[tex] \sf{9x = 180}[/tex]

Divide both sides of the equation by 9

⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]

Calculate

⇒[tex] \sf{x = 20}[/tex]

Value of x = 20

Now, let's replace the value,

⇒[tex] \sf4x = 4 \times 20 = 80[/tex]

⇒[tex] \sf5x = 5 \times 20 = 100[/tex]

Hope I helped!

Best regards!!

Answer:

A. 15

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Hence,

(2x + 15)° = 1/2[(10x + 20)° - 80°]

2(2x + 15)° = (10x - 60)°

4x + 30 = 10x - 60

60 + 30 = 10x - 4x

90 = 6x

90/6 = x

15 = x

x = 15

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....

Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))

Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.

Answer:

slope= -2/5 y intercept= 13/5

Step-by-step explanation:

1. convert to slope-intercept form form

2.  5y= -2x+13

3. y= -2/5x+ 13/5

4. The slope is -2/5 and your y intercept is 13/5

5. Now you can graph it and rember your slope is rise/run or change in y/ change in x.  

Answer:

x=2

Step-by-step explanation:

x=2

x+1=3

and 3 is a prime

Answer:

A counterexample is x = 3

Step-by-step explanation:

We are given that x is a prime number, and x + 1 is not a prime number. However consider the number 3. We know that 3 is a prime number, as it is present as factors of 1 and itself. However 3 + 1 = 4 - which falls into the category of a composite number, as it can divide into 2 * 2. Therefore your counterexample could be x = 3.

Answer:

x= ±2 sqrt(3)

Step-by-step explanation:

4x^2+11= 59

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4*3)

x= ±2 sqrt(3)

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4 x 3)

The required surface area of given triangular prism is 391.2 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
In the figure,

From the figure,
length = 14 cm
height = 6.9 cm
base = 8 cm
Surface area of the prism = bh + 3bl

Surface area of the prism = 8×6.9 + 3×14×8
                                       = 391.2 cm²

Thus, the required surface area of given triangular prism is 391.2 cm².

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

Answer: 391.2

Step-by-step explanation:

Let me know if im wrong and ill change the answer

Answer:

Step-by-step explanation:

let the number be x

x multiplied by x = [tex]x^{2}[/tex]

Adding 4 to the result

= [tex]x^{2}[/tex] + 4

Hope this helps

plz mark as brainliest!!!!!

Answer:

In my opnion, i think that the answer to your question is D.  95° 44' 60"

Step-by-step explanation:

if you were to break up each of these into segments, A, and B, would not add additionally to 95.61 degrees, minutes, and seconds. C is most definitly wrong because the inch mark, and foot" marks are wrong, and there is no degree mark. Espiecailly since its not possible to be 950 degree. Therefore, I would say option D is correct.

I hope this helps good luck

Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

Answer:

x=44

Step-by-step explanation:

Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Answer: x=44

Step-by-step explanation: Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!