In The Particular Solution for the DE: y'=3x²–2x+ 44(1) = 2 A) Y = -x+ 4x + B) Y = 2 x ² – 2x² + 4x - 2 Cy= x - x?+ 42 - 2 D) y = x - 223+4x + 3 I The general Solution for the DE: y'-4xy = 0 A)

If Bernadette needs 2 square yards of green fabric, 5 square yards of purple fabric and 11 square yards of white fabric, then needs a total of 162 square feet of fabric for her quilt.

To calculate the total square feet of fabric needed, we need to convert the square yards to square feet. Since 1 yard is equal to 3 feet, we can use the conversion factor of 1 square yard = 9 square feet.

The fabric needed in square feet:

Green fabric: 2 square yards * 9 square feet/yard = 18 square feet

Purple fabric: 5 square yards * 9 square feet/yard = 45 square feet

White fabric: 11 square yards * 9 square feet/yard = 99 square feet

Total fabric needed: 18 square feet + 45 square feet + 99 square feet = 162 square feet.

Therefore, Bernadette needs a total of 162 square feet of fabric for her quilt.

To know more about square feet, click here: brainly.com/question/30678567

#SPJ11

i don't really get what the question  is could you write it again?

\(x_{axis} = 1 \: unit = 0.5 \: sec\)

\(y_{axis} = 1 \: unit = 4 \: meters\)

\(h(x) = - 16x {}^{2} + 32x + 48 \\ h'(x) = - 32x + 32 \\ h'(x) = 0 \\ x = \frac{ - 32}{ - 32} = 1 \\ \\ h(1) = - 16 + 32 + 48 = 64\)

\(h(x) = 0 \\ - 16x {}^{2} + 32x + 48 = 0 \\ - x {}^{2} + 2x + 3 = 0 \\ x {}^{2} - 2x - 3 = 0 \\ (x -3)(x + 1) = 0 \\ x - 3 = 0 \: \: \: \: \: \: x + 1 = 0 \\ x = 3 \: \: \: \: \: \: \: \: \: \: \: \: x = - 1 \\ \)

\( \alpha = - 16 \\ (x - r)(x - t) = (x - 3)(x + 1)\\h(x) = \alpha (x - r)(x - t) \\ h(x) = - 16(x - 3)(x + 1)\)

Answer: $285

Step-by-step explanation:

Given

A trip costs \(\$319.19\) after-tax inclusion

The rate of tax is 12%

Suppose x is the amount of charge before tax inclusion

We can write

\(\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285\)

The amount before tax inclusion is $285

Answer:

44460 times more probably

Step-by-step explanation:

by diving those two numbers

Answer:

the answer is D

Step-by-step explanation:

have a good day!

The volume of the solid enclosed by the surfaces z = x^2 + y^2 and z = 9, using cylindrical coordinates, is 180π cubic units.

In cylindrical coordinates, we express the given surfaces as z = r^2 and z = 9, respectively, where r represents the radial distance from the z-axis. To find the volume, we integrate the function z = r^2 from the bottom surface at z = 0 to the top surface at z = 9.

To convert the Cartesian integral into cylindrical coordinates, we need to express the differential volume element in cylindrical form. The volume element in Cartesian coordinates (dV) can be written as dV = dx dy dz, and in cylindrical coordinates, it becomes dV = r dr dθ dz.

First, we integrate with respect to z from 0 to 9. Then, we integrate with respect to r from 0 to the radius where z = r^2 intersects the surface z = 9. Finally, we integrate with respect to θ from 0 to 2π, covering the full revolution around the z-axis.

The integral setup is as follows:

∫∫∫ r dr dθ dz

Integrating r from 0 to √9 = 3, θ from 0 to 2π, and z from 0 to 9, we get:

∫[0 to 9] ∫[0 to 2π] ∫[0 to 3] r dr dθ dz

Evaluating the above integral, we find:

∫[0 to 9] ∫[0 to 2π] [(1/2)r^2] [0 to 3] dθ dz

= ∫[0 to 9] ∫[0 to 2π] (9/2) dθ dz

= ∫[0 to 9] (9/2) [0 to 2π] dz

= ∫[0 to 9] (9/2) * 2π dz

= (9/2) * 2π * [0 to 9]

= (9/2) * 2π * (9 - 0)

= (9/2) * 2π * 9

= 81π

Therefore, the volume of the solid enclosed by the surfaces z = x^2 + y^2 and z = 9, using cylindrical coordinates, is 180π cubic units.

To know more about cylindrical coordinates, visit;

https://brainly.com/question/30394340
#SPJ11

Answer: 30%

Step-by-step explanation:

because my friend said so? <3

hope this helps!

Jane makes sure that the (B) coffee is brewed simultaneously in each pot as part of her experimental study.

Experimental investigations involve introducing an intervention and observing its results.

Typically, volunteers in experimental research are grouped randomly, or by chance.

In experimental research, the dependent and independent variables are compared to examine how they relate to one another.

A link between a certain feature of an item and the variable under investigation is either accepted or denied following the conclusion of an experimental research study.

Laboratory experiments are the most fundamental type of experimental study, albeit they can take on several forms depending on the research topic.

Laboratory experiments are the most fundamental type of experimental study, albeit they can take on several forms depending on the research topic.

So, in the given situation, Jeane makes sure that the coffee is brewed simultaneously in all of the pots.

Therefore, Jane makes sure that (B) coffee is brewed simultaneously in each pot as part of her experimental study.

Know more about the experimental study here:

https://brainly.com/question/17274244

#SPJ4

Complete question;
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. Select one control in Jenae's experimental study:

a. Jeane places condiments at random places throughout the kitchen.

b. Jeane makes sure that the coffee in different pots is brewed at the same time.

c. Jeane uses different locations in the kitchen for the coffee pots.

d. Jeane monitors the habit of co-workers who do not drink coffee.

The time Billy should get up to be right on time for school is 6:52 am.

The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.

Learn more about time here:

https://brainly.com/question/28050940

#SPJ4

D. 31                                            ( roundest to the nearest whole number)

\(\dashrightarrow \ \sf \dfrac{683}{22}\)

\(\dashrightarrow \ \sf 31\dfrac{1}{22}\)

\(\sf \dashrightarrow \ 31.04545\)

The solutions for the equation are b = 0, 3.

What is the cubic equation?

A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. Polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.

To find the solution for the equation 5/3b³ - 2b² - 5, we can factor it or use the quadratic formula.

One way to factor it is to note that it is a cubic equation in terms of b, and can be written as:

5/3b³ - 2b² - 5 = (5/3b³ - 2b²) - 5 = (5/3b³ - 2b²- 5b) + (5b)

= (5/3b)(b² - 3b) + 5

So, b=0 is one solution, but we can also factor the remaining quadratic equation (b² - 3b) = 0,

b=0 and b=3 are the solutions for the equation.

Hence, the solutions for the equation are b = 0, 3.

To learn more about the cubic equation visit,

https://brainly.com/question/30187457

#SPJ4

Option C, y = e^(x+y) + x^2 + 3x - 2, requires the use of implicit differentiation to find dy/dx.

The expression that requires the use of implicit differentiation to find dy/dx is option C: y = e^(x+y) + x^2 + 3x - 2.

Implicit differentiation is a technique used to differentiate equations where the dependent variable y is not explicitly expressed as a function of x. It involves differentiating both sides of the equation with respect to x, treating y as an implicit function of x.

Let's apply implicit differentiation to option C:

Starting with the equation: y = e^(x+y) + x^2 + 3x - 2

To find dy/dx, we differentiate both sides of the equation with respect to x:

d/dx(y) = d/dx(e^(x+y) + x^2 + 3x - 2)

Using the chain rule on the right side of the equation, we get:

dy/dx = d/dx(e^(x+y)) + d/dx(x^2) + d/dx(3x) - d/dx(2)

The derivative of e^(x+y) with respect to x requires the use of implicit differentiation. We treat y as an implicit function of x and apply the chain rule:

d/dx(e^(x+y)) = e^(x+y) * (1 + dy/dx)

The derivatives of the remaining terms on the right side are straightforward:

d/dx(x^2) = 2x

d/dx(3x) = 3

d/dx(2) = 0

Substituting these derivatives back into the equation, we have:

dy/dx = e^(x+y) * (1 + dy/dx) + 2x + 3

Next, we isolate dy/dx on one side of the equation by moving the term involving dy/dx to the left side:

dy/dx - e^(x+y) * dy/dx = e^(x+y) + 2x + 3

Factoring out dy/dx, we get:

(1 - e^(x+y)) * dy/dx = e^(x+y) + 2x + 3

Finally, we solve for dy/dx:

dy/dx = (e^(x+y) + 2x + 3) / (1 - e^(x+y))

Learn more about differentiation at: brainly.com/question/24062595

#SPJ11

Answer:

Step-by-step explanation:

There are 2 directions Ali can walk along the line g ⊥ f .

≡ Ali can walk in NE direction and stop at point with coordinates (10, 11) ;

≡ Ali can walk in SW direction and stop at point with coordinates (- 2, - 5) .

Radius of the circle equal to CE

Answer:

43

Step-by-step explanation:

ur replacing z in 3+8z with 5 and 8z is the same thing as 8xZ so the new equation is

3+8x5

3+40

43 is your answer

Answer:

75%

Step-by-step explanation:

Steps to find the percentage equivalent to 36/48:

1) Divide the numerator by the denominator.

2) Multiply by 100.

36 / 48 = 0.75

0.75 x 100 = 75

Thus, resulting in 75%.

Hope this helps for future reference.

kappa = ||dT/ds|| = sqrt[((-3 cos t) / (18 cos^2 t + 16 sin^2 t))^2 + ((-3 cos t) / (18 cos^2 t + 16 sin^2 t))^2 + ((4 sin t) / (18 cos^2 t + 16 sin^2 t))^2].

To find the curvature (kappa) of the curve defined by the vector-valued function r(t) = (-3 sin t)i + (-3 sin t)j + (-4 cos t)k, we need to calculate the magnitude of the curvature vector.

The curvature vector is given by the formula:

kappa = ||dT/ds||,

where dT/ds is the unit tangent vector, and s is the arc length parameter.

First, let's find the unit tangent vector T(t):

T(t) = (dr/dt) / ||dr/dt||,

where dr/dt is the derivative of r(t) with respect to t.

dr/dt = (-3 cos t)i + (-3 cos t)j + (4 sin t)k.

||dr/dt|| = sqrt[(-3 cos t)^2 + (-3 cos t)^2 + (4 sin t)^2] = sqrt[9 cos^2 t + 9 cos^2 t + 16 sin^2 t] = sqrt[18 cos^2 t + 16 sin^2 t].

T(t) = [(-3 cos t) / sqrt(18 cos^2 t + 16 sin^2 t)]i + [(-3 cos t) / sqrt(18 cos^2 t + 16 sin^2 t)]j + [(4 sin t) / sqrt(18 cos^2 t + 16 sin^2 t)]k.

Next, let's find the derivative of T(t) with respect to s. We'll use the chain rule:

dT/ds = (dT/dt) / (ds/dt).

The arc length parameter s is given by:

ds/dt = ||dr/dt|| = sqrt[18 cos^2 t + 16 sin^2 t].

Therefore, dT/ds = [(-3 cos t) / (sqrt(18 cos^2 t + 16 sin^2 t))] / (sqrt[18 cos^2 t + 16 sin^2 t]) = (-3 cos t) / (18 cos^2 t + 16 sin^2 t)i + (-3 cos t) / (18 cos^2 t + 16 sin^2 t)j + (4 sin t) / (18 cos^2 t + 16 sin^2 t)k.

Finally, we can calculate the curvature (kappa) as the magnitude of dT/ds:

kappa = ||dT/ds|| = sqrt[((-3 cos t) / (18 cos^2 t + 16 sin^2 t))^2 + ((-3 cos t) / (18 cos^2 t + 16 sin^2 t))^2 + ((4 sin t) / (18 cos^2 t + 16 sin^2 t))^2].

Learn more about vectors here: brainly.com/question/24256726

#SPJ11

The Sample space of the given problem is:  Sample space = watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, lemon-lime, lemon-lime, grape, grape, grape, grape, grape, grape, grape

From the question, we have the following parameters that can be used in our computation:

2 watermelon, 5 lemon-lime, and 7 grape gumballs

We will now rewrite the items according to their frequencies.

Thus, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs,

The above represents the sample space

Hence, the sample space is in Option A

Read more about probability event at: brainly.com/question/10739997

#SPJ1

The total distance traveled, d, can be calculated by summing the distances covered during each phase of the journey.

First, we calculate the distance covered during the first phase of the journey, where the speed is v₁ = 65.6 mph for t₁ = 2.84 hours:

Distance₁ = v₁ * t₁

Since the speed is given in miles per hour, we need to convert the time to hours:

t₁ = 2.84 hours

Distance₁ = 65.6 mph * 2.84 hours

Next, we calculate the distance covered during the second phase, where the speed is v₂ = 56.2 mph for t₂ = 0.80 hours:

Distance₂ = v₂ * t₂

Distance₂ = 56.2 mph * 0.80 hours

Finally, we sum the distances covered in both phases to find the total distance:

d = Distance₁ + Distance₂

Now, let's calculate the average speed, v, for the entire journey. Average speed is defined as total distance divided by total time:

Total time = t₁ + t_stop + t₂

Note that the stoppage time, t_stop, needs to be converted from minutes to hours:

t_stop = 33.6 min / 60

Total time = 2.84 hours + t_stop + 0.80 hours

Average speed, v, is then:

v= d / (t₁ + t_stop + t₂)

The total distance, d, traveled is calculated by summing the distances covered in each phase of the journey. The average speed, v, is obtained by dividing the total distance by the total time taken for the entire journey.

To find the total distance traveled, we need to calculate the distances covered in each phase separately and then sum them up. In the first phase, the speed is given as 65.6 mph and the time is 2.84 hours. To find the distance covered, we multiply the speed by the time:

Distance₁ = 65.6 mph * 2.84 hours

In the second phase, the speed is 56.2 mph and the time is 0.80 hours:

Distance₂ = 56.2 mph * 0.80 hours

Now, we sum the distances covered in both phases:

d = Distance₁ + Distance₂

To find the average speed, we need to calculate the total time taken for the entire journey. This includes the time spent in the stoppage. The stoppage time is given as 33.6 minutes, so we need to convert it to hours by dividing by 60:

t_stop = 33.6 min / 60

The total time taken is the sum of the time in the first phase, stoppage time, and the time in the second phase:

Total time = t₁ + t_stop + t₂

Finally, we can calculate the average speed by dividing the total distance by the total time:

v= d / (t₁ + t_stop + t₂)

By calculating the above expressions, we can determine the total distance traveled and the average speed for the journey.

Learn more about distance here:

brainly.com/question/15172156

#SPJ11

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

All positive integers between -5 and 0 = ϕ

A set is a group of similar items

First, let us find the set of integers between -5 and 0

Set of integers between -5 and 0(-5 and 0 inclusive) = {-4, -3, -2, -1, 0}

By careful consideration of all the elements of the set above, none of them is a positive integer.

Therefore, a set of all positive integers between -5 and 0 is a null set. It is a set without any element.

All positive integers between -5 and 0 = ϕ

Learn more here: https://brainly.com/question/18303633

Given:

x + 2y = 7

x - y = 7

To solve this simultaneously, let's use elimination method.

Step 1:

Subtract equation 2 from equation 1:

Subtx + 2y = 7

- x - y = 7

_________

3y = 0

Step 2:

Divide both sides by 3:

The most important measure used in regression diagnostics is the simple residual.

What is linear rigression?

In statistics, a scalar response and one or more explanatory factors are modeled using a linear approach called linear regression. Simple linear regression is used when there is only one explanatory variable; multiple linear regression is used when there are numerous explanatory variables.

Hypothesis testing is used to confirm if our beta coefficients are significant in a linear regression model. Every time we run the linear regression model, we test if the line is significant or not by checking if the coefficient is significant.

If there is a significant linear relationship between the independent variable X and the dependent variable Y, the slope will not equal zero.

The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

The most important measure used in regression diagnostics is the simple residual (e). This is the difference between each observed and predicted value of Y.

To learn more about linear regression visit,

https://brainly.com/question/25987747

#SPJ4

The integral expression of the volume of the solid generated when r is roated about the horizantal line y=6 is, V = π∫[f(y)]^2 dy

Let's consider the region bounded by the function r=f(y) and the horizontal line y=6 in the xy-plane, where r represents the distance between the y-axis and a point on a curve.

When this region is rotated around the horizontal line y=6, it generates a solid whose volume can be expressed as an integral in terms of y as follows:

V = π∫[f(y)]^2 dy

Here, the limits of integration are determined by the range of y-values for which the curve exists within the region bounded by the x-axis and the line y=6.

Note that we have not evaluated this integral yet since we do not have enough information about the specific function f(y).

Know more about volume of solid here:

https://brainly.com/question/20284914

#SPJ11

Answer:

Go to the bottom of that problem and click save for later

The actual dimensions of the rectangular stamp with width 1.4 cm greater than the length are 3.5 cm by 4.9 cm.

It is given that if both the length and width of the rectangular stamp are increased by 1 cm each, the stamp would have a perimeter equal to 20.80 cm.

We have to find the original dimensions of the rectangular stamp.

Let the length of the rectangular stamp be x cm.

Hence, according to the question,

Width of the stamp = (x + 1.4) cm.

If 1 cm is increased in each of the length and width of the stamp,

the increased length and breadth will become,

Width = (x + 1.4) + 1 = (x + 2.4) cm

Length = x + 1 = (x + 1) cm

We know that,

Perimeter of rectangle = 2*(Length + Breadth)

Hence,

Perimeter of rectangular stamp = 2*[(x + 2.40) + (x + 1)]

Perimeter of rectangular stamp = 2*[(x + x) + (2.40 + 1)]

Perimeter of rectangular stamp = 2*[2x + 3.40]

Perimeter of rectangular stamp = (4x + 6.80) cm

We have,

Perimeter = 20.80 cm = (4x + 6.80) cm

Hence,

20.80 - 6.80 = 4x

14 = 4x

x = 14/4

x = 3.5cm

Hence,

x + 1.4 = 3.5 + 1.4 = 4.9cm

Hence,

Original width of the rectangular stamp = 4.9cm

Original length of the rectangular stamp = 3.5cm

To learn more about rectangular, here:-

https://brainly.com/question/21334693

#SPJ4

The product of the given binomial is x⁴ -y².

FOIL stands for Firsts , Outsides , Insides , Lasts and while determining product of binomials this sequence is followed.

The binomials given are

( x² +y ) (x² -y)

x²  (x² -y)             + y * x² +              y* (-y)

------------                 ------                   --------

Firsts  Outsides       insides             Lasts

After simplification

x⁴ - x²y +  x²y -y²

x⁴ -y²

The product of the given binomial is x⁴ -y².

To know more about FOIL method

https://brainly.com/question/1070519

#SPJ1

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

for such more question on equation

https://brainly.com/question/17145398

#SPJ8

2 because the perimeter is six hope this helps

Answer: the answer is 4.19 I found this by dividing 50.28 by 12.   I don't know if this is called the unit

Answer:

2 and 3

If you want to get complicated, then 2.39 and 2.61.

Step-by-step explanation:

5 = x + y

5 = 2 + 3

5 = 5