13. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.7.012. MY NOTES ASK YOUR TEACH Find the solution of the differential equation that satisfies the given initial condition. Pt, P(1) = 3 dP dt C=3e

Answer:

19x23 = 437

437-23 = 414

414-9 = 405

Step-by-step explanation:

I believe this is what the question is asking. if not please let me know and tell me how the question works.

The exact value of tan 120° is -√3. This means that at the angle of 120 degrees, the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle is equal to the negative square root of 3.

To find the exact value of tan 120° using a double-angle identity, we can utilize the tangent double-angle identity, which states:

tan(2θ) = (2tanθ) / (1 - tan^2θ)

In this case, we want to find the value of tan 120°, so we can rewrite it as tan(2 * 60°), since 2θ is equal to 2 * 60°.

Let's substitute θ = 60° into the double-angle identity:

tan(2 * 60°) = (2 * tan 60°) / (1 - tan^2 60°)

We know that the tangent of 60° is equal to the square root of 3 (√3). Therefore, we can substitute tan 60° with √3:

tan(2 * 60°) = (2 * √3) / (1 - (√3)^2)

Now, we simplify the expression further:

tan(2 * 60°) = (2√3) / (1 - 3)

                  = (2√3) / (-2)

                  = -√3

Therefore, the exact value of tan 120° is -√3.

In summary, using the tangent double-angle identity, we found that the exact value of tan 120° is -√3. This means that at the angle of 120 degrees, the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle is equal to the negative square root of 3.

Learn more about length here

https://brainly.com/question/28322552

#SPJ11

Answer:

option 4

Step-by-step explanation:

-3.4x + 4.7 - (3 + 2.9x) = -3.4x + 4.7 - 3  - 2.9x  (combine like terms)

                                   = -3.4x - 2.9x + 4.7 - 3

                                  = - 6.3x + 1.7

If two number have same sign, add and put the common sign for the answer.

If two numbers have different sign, subtract and the answer will have the sign of the bigger number

Answer: y/y+x

Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x

answer is D) 7x < 10

The shape of the distribution of the number of siblings can vary depending on the specific data set.

However, if we are considering the general case, the most common shape of the distribution is likely to be unimodal and skewed to the right.

This means that the majority of individuals are likely to have fewer siblings,

and as the number of siblings increases,

the frequency of individuals with that number decreases.

The distribution may also have a long tail on the right side,

indicating a few individuals with a significantly larger number of siblings.

However, it is important to note that this is just a general observation, and in specific cases,

the distribution may be different.

To know more about distribution visit:

https://brainly.com/question/33255942

#SPJ11

When checking alignment angles in a vehicle, a technician should look for several factors to ensure proper alignment:

a. All angles within factory specifications: The technician should check if all the alignment angles, including camber, caster, and toe, fall within the specified range provided by the vehicle manufacturer.

b. The camber on the left and right should be within 0.5 degrees of each other: Camber refers to the inward or outward tilt of the wheels when viewed from the front of the vehicle.

c. The caster on the left and right should be within 0.5 degrees of each other: Caster refers to the angle of the steering axis when viewed from the side of the vehicle. It helps provide stability and steering control.

By checking these factors and ensuring they meet the specified criteria, the technician can ensure that the vehicle's alignment is correct, promoting optimal tire wear, handling, and overall performance.

Learn more about vehicle's alignment here : brainly.com/question/30054816

#SPJ11

If Tina's score is in the 50th percentile and the grades were normally distributed, Tina's score on the exam is 78.

A percentile refers to the comparison score between a particular score and the scores of the rest of a group. It represents the percentage of scores that a specific score surpassed. For example, if the score of 75 points on a test is ranked in the 85th percentile, it implies that the score 75 is higher than 85% of the scores. The 50th percentile, which is also the median score implies that 50% of the score is below or above the average score in a normally distributed data. In the given situation, if the grades are normally distributed with a mean of 78, that implies that 50% of the scores are above 78 and 50% of the scores are below 78. The standard deviation in this case is irrelevant. As Tina’s score is at the 50th percentile, her score on the exam would be 78.

Learn more about Percentile:

https://brainly.com/question/2263719

#SPJ4

The general solution to the third differential equation is y(x) = u(x)y1(x), where y1(x) = e^(-x) and u(x) is an arbitrary function of x.

To solve the first differential equation using reduction of order, we assume the general solution to be of the form y(x) = u(x)y1(x), where y1(x) is the known solution (in this case, y1(x) = x^(-1)) and u(x) is a function to be determined.

We begin by computing the first and second derivatives of y1(x):

y1'(x) = -x^(-2)

y1''(x) = 2x^(-3)

Substituting these into the original differential equation, we have:

x(2x^(-3)) + (2 + 2x)(2x^(-3)) - 2(x^(-1)) = 0

Simplifying the equation:

2x^(-2) + 2(2x^(-2)) + 2x^(-2) = 0

6x^(-2) = 0

Since x^(-2) cannot be equal to zero for any value of x, we conclude that there is no nontrivial solution satisfying the differential equation with y1(x) = x^(-1).

Similarly, for the second differential equation, we assume the general solution to be of the form y(x) = u(x)y1(x), where y1(x) = x*sin(x) and u(x) is a function to be determined.

We get the first and second derivatives of y1(x):

y1'(x) = xcos(x) + sin(x)

y1''(x) = 2cos(x) - x*sin(x)

Substituting these into the original differential equation, we have:

x^2(2cos(x) - xsin(x)) - 2x(xcos(x) + sin(x)) + (x^2 + 2)(xsin(x)) = 0

Simplifying the equation:

2x^2cos(x) - x^3sin(x) - 2x^2cos(x) - 2xsin(x) + x^3sin(x) + 2xsin(x) = 0

0 = 0

Since the equation simplifies to 0 = 0, it means that any function y(x) of the form y(x) = u(x)y1(x) satisfies the differential equation, where y1(x) = x*sin(x) and u(x) is an arbitrary function.

For the third differential equation, we assume the general solution to be of the form y(x) = u(x)y1(x), where y1(x) = e^(-x) and u(x) is a function to be determined.

We get the first and second derivatives of y1(x):

y1'(x) = -e^(-x)

y1''(x) = e^(-x)

Substituting these into the original differential equation, we have:

(x+1)(e^(-x)) + x(-e^(-x)) - (e^(-x)) = (x+1)^2

Simplifying the equation:

xe^(-x) + e^(-x) - xe^(-x) - e^(-x) = (x+1)^2

0 = (x+1)^2

Expanding the equation, we get:

0 = x^2 + 2x + 1

This is a quadratic equation with the solution x = -1.

Therefore, the general solution to the third differential equation is y(x) = u(x)y1(x), where y1(x) = e^(-x) and u(x) is an arbitrary function of x.

Learn more about differential equations here, https://brainly.com/question/18760518

#SPJ11

Answer:

The mistake is in step 2

Step-by-step explanation:

We are given h(x)=4-x

Note: Considering h(x)=4-x as in question given there is some issue. If value of h(x) is different the answer would be different.

and g(x)=2x+10

We need to find h(g(x))

h(g(x)) can be found by putting the value of g(x) in h(x)

Steps used by Mario are:

Step 1: h(g(x)) = 4 - x

Step 2: h(g(x)) = 4 - x + 10

Step 3: h(g(x)) = 14 - X

She did mistake in step 2:

The step 2 should be:

h(g(x))=4-(2x+10)

h(g(x))= 4-2x-10

h(g(x))=-6-2x

So, the mistake is in step 2

the right one is correct

Answer:

2nd option, it would look like the 2nd option

Step-by-step explanation:

Answer:

-10  -9   -8  -7  -6  -5  -4  -3  -2  -1  0  1  2   3  4  5  6  7 8 9 10

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

125/100 = 1.25

Answer:

it's 1.25

Step-by-step explanation:

125 ÷100 = 1.25

The x and y components of the resultant force are

Fr_x = 800 * cos(35º) + 600 * cos(25º) + 850 * (5/13),

Fr_y = 800 * sin(35º) + 600 * sin(25º) + 850 * (12/13)

To find the x and y components of the resultant force, we can use the given magnitudes and angles of the forces.

The x-component of the resultant force (Fr_x) can be calculated by summing the x-components of the individual forces:

Fr_x = Fa_x + Fb_x + Fc_x

Fa_x = Fa * cos(θa) = 800 lbs * cos(35º)

Fb_x = Fb * cos(θb) = 600 lbs * cos(25º)

Fc_x = Fc * (x/h) = 850 lbs * (5/13)

Fr_x = 800 * cos(35º) + 600 * cos(25º) + 850 * (5/13)

Similarly, the y-component of the resultant force (Fr_y) can be calculated by summing the y-components of the individual forces:

Fr_y = Fa_y + Fb_y + Fc_y

Fa_y = Fa * sin(θa) = 800 lbs * sin(35º)

Fb_y = Fb * sin(θb) = 600 lbs * sin(25º)

Fc_y = Fc * (y/h) = 850 lbs * (12/13)

Fr_y = 800 * sin(35º) + 600 * sin(25º) + 850 * (12/13)

Therefore, the x-component and y-component of the resultant force Fr are determined by the above calculations.

To know more about resultant force refer here:

https://brainly.com/question/23187039

#SPJ11

El costo por el consumo de 512 MB, con base en los cargos mencionados, es de $25408.

Cálculo del costo paso a paso.

Según los datos en el ejercicio, se puede identificar que el costo mensual debe contener el cargo fijo mensual ($8000), más los megabytes consumidos por $34, teniendo eso en cuenta, se puede generar la siguiente fórmula:

Donde:

Si reemplazamos el valor de MB por la cantidad mencionada en el ejercicio (512 Mb), y el cargo fijo mensual ($8000) obtenemos:

Por lo tanto, el costo por consumo de 512 Mb es de $25408.

Si deseas ver ejercicios similares, revisa el enlace a continuación: https://brainly.com/question/12918169?referrer=searchResults

Answer:

You could use a stencil (e.g a glue sitck or coin).

Step-by-step explanation:

Answer:

Use anything else that has a flat circular surface, or this neat paper trick.

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Area of cone = π•radius• g + π•radius^2

radius= (14/2) = 7 inches

g = √ 28^2 + (14/2)^2

. =√ 784 + 49

. =√833

g = 28.9

Then

Lateral area= π•202 = 635

Area of cone= π•7 • 28.9 + π• 7^2

. = π• 202 +. π• 49

. = π• 251

. = 789

So then ANSWER IS

Lateral area L = 635 inches2

Area total of cone = 789 inches2

Answer:

48.91

Step-by-step explanation:

r=cos^-1(.92)

r=23.07

cos(23.07)=45/y

y=45/cos(23.07)

48.91

Answer:

Hey there!

Angle DAE and EAF are complementary angles, meaning that they add to 90 degrees.

Thus, we have 65+x=90

Solving for x we have 25.

Hope this helps :)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

Figure 1: 623.2 in²

Figure 2: 679.8 in²

Step-by-step explanation:

For a pyramid total surface area

= Base Area + Lateral Surface Area

Figure 1 is a triangular prism
It's base is an equilateral triangle with side = 20 in
Area of an equilateral triangle = \(\dfrac{\sqrt{3}}{4} a^2\) where \(a\) is the length of the base

So in figure 1, base area = area of equilateral triangle with side a = 20 in
\(\text{Base Area =} \dfrac{\sqrt{3}}{4} \cdot 20^2 \approx 173.2 \;in^2\)

Each lateral side is an isosceles triangle with base = 20 and height = 15
Area of each triangle

\(= \dfrac{1}{2} \cdot base \cdot height\)
\(= \dfrac{1}{2} \cdot 20 \cdot 15 \\\\= 150 \; in^2\)

There are three such lateral sides so total lateral area = 150 x 3 = 450 in²

Total surface area = 173.21 + 450 = 623.2 in²

Figure 2
This is a regular hexagonal pyramid

The base is a regular hexagon of side 10

Base area = Area of hexagon of side 10

Area of a regular hexagon with side a
\(= \dfrac{3\sqrt{3}}{4} a^2\)

Base area of Figure 2
\(= \dfrac{3\sqrt{3}}{4} 10^2\\\\\approx 259.8 \;in^2\)

The lateral surface consists of 6 isosceles triangles each with a base = 10 in and height = 14 in

Area of each isosceles triangle
\(= \dfrac{1}{2} \cdot 10 \cdot 14 \\\\= 70 \;in^2\)

Since there are 6 such lateral triangles, total lateral surface area
= 70 x 6 = 420 in²

So total surface area = base area + total lateral surface area
= 259.8 + 420 = 679.8 in²

Answer: The method of substitution involves three steps:

Step-by-step explanation:

Solve one equation for one of the variables.

Substitute (plug-in) this expression into the other equation and solve.

Substitute the value into the original equation to find the corresponding variable. here i helped ya

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A(- 5, 3) and (x₂, y₂ ) = B(3, - 3) ← 2 points on the line

m = \(\frac{-3-3}{3+5}\) = \(\frac{-6}{8}\) = - \(\frac{3}{4}\) → D

Answer:

50 students per bus and 9 students per van

Step-by-step explanation:

I just guessed until I got it right, so I don't really have a method. If I ever find a better way of doing it, I'll edit my answer.

a. Equilibrium price and quantity can be calculated by equating the demand and supply function i.e,

Qd = Qs:

50 - 2P = -10 + 2P

P = 20

Q = 50 - 2(20)

Q = 10 units

Thus, the equilibrium price and quantity are P = 20 and Q = 10 units respectively.

The graph for demand and supply function at equilibrium is shown below:

Equilibrium graph. Producer surplus can be calculated as the area below the price line and above the supply curve.

At equilibrium, the producer surplus can be calculated as:

PS = (20-10) * (10- (-10))/2

PS = 150

The producer surplus at equilibrium is 150.

c. Total surplus is the sum of consumer and producer surplus. At equilibrium, the total surplus can be calculated as:

TS = CS + PS

TS = (1/2) * (20-50) * 10 + (20-(-10)) * 10/2

TS = -150 + 150

TS = 0 units

The total surplus at equilibrium is 0 units. The new budget line equation can be derived from the following demand function:

Q = 50 - 2P

P = 25 - Q/2

Let M denote the new budget line.

If all the income is spent on the product, then the maximum price and quantity of the product that can be purchased can be given as:

M = PQ + Y

where, Y denotes the income.

Let Y = 1000 and P = 20, the new budget line can be calculated as:

M = 20Q + 1000

New budget line equation: M = 20Q + 1000

To learn more click the below link

https://brainly.com/question/22569960

#SPJ11