Find all inflection points for f(x) = x4 - 10x3 +24x2 + 3x + 5. O Inflection points at x=0, x= 1,* = 4 O Inflection points at x - 1,x=4 O Inflection points at x =-0.06, X = 2.43 x 25.13 O This function does not have any inflection points.

Answer:

\(x>-\frac{5}{113}\)

Step-by-step explanation:

\(113x>>-5\\\\\mathrm{Divide\:both\:sides\:by\:}113\\\frac{113x}{113}>\frac{-5}{113}\\\\Simplify\\\\x>-\frac{5}{113}\)

The given equation is:

34m = 11

To solve the equation, divide both sides by 34

The equation becomes:

Answer:

a

Step-by-step explanation:

Two points are always collinear since we can draw a distinct (one) line through them.

Answer:

always

Step-by-step explanation:

The fraction of the 30 cakes does Simon have left with os 7/10

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, Simon makes 30 cakes, he gives 1/5 of the cakes to Sali, he gives 10% of the 30 cakes to Jane,

We need to find, what fraction of the 30 cakes does Simon have left,

Number of cakes given to Sali = 1/5 of 30

= 30 / 5 = 6

That mean, Sali got 6 cakes out of 30.

Number of cakes given to Jane = 10% of 30

= 30 × 10/100

= 300 / 100

= 3

That mean, Jane got 3 cakes, out of 30.

The remaining number of cake = 30 - (6+3)

= 30 - 9

= 21

Therefore, the fraction of cakes left = 21 / 30

= 7/10

Hence, the fraction of the 30 cakes does Simon have left with os 7/10

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1. The down payment: $599 x 0.10 = $59.90
2. The total amount paid in installments: $50 x 12 = $600
3. The total cost of the purchase: $599 + $59.90 = $659.90
4. The finance charge: $659.90 - $599 = $60.90
5. The cost of the finance charge per month: $60.90 ÷ 12 = $5.08
6. Add the cost of the finance charge per month to the monthly payment: $50 + $5.08 = $55.08 (rounded to the nearest cent)

Let's go through the steps:

1. To determine the down payment, we multiply the purchase price ($599) by the down payment percentage (10%). This gives us $59.90.

2. The total amount paid in installments is calculated by multiplying the monthly installment amount ($50) by the number of months (12). This results in $600.

3. To find the total cost of the purchase, we add the down payment to the purchase price. Thus, $599 + $59.90 = $659.90.

4. Finally, to calculate the finance charge, we subtract the purchase price from the total cost of the purchase. Therefore, $659.90 - $599 = $60.90.

So, the finance charge on Amy's installment plan is $60.90.

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The number of vats to be used is 8

Given: Weight of material used per day = 196 pounds

Weight of each vat = 26 pounds

Cycle time for each vat = 2.5 hours

Inefficiency factor assigned by manager = 25%

Time available for each day = 8 hours

To calculate the number of vats to be used, we need to calculate the time required to transport the total material by the available vats.

So, the number of vats required = Total material weight / Weight of each vat

To calculate the total material weight transported in 8 hours, we need to calculate the time required to transport the weight of one vat.

Total time to transport one vat = Cycle time for each vat / Inefficiency factor

Time to transport one vat = 2.5 / 1.25

(25% inefficiency = 1 - 0.25 = 0.75 efficiency factor)

Time to transport one vat = 2 hours

Total number of vats required = Total material weight / Weight of each vat

Total number of vats required = 196 / 26 = 7.54 (approximately)

Therefore, the number of vats to be used is 8 (rounded up to the next whole number).

Answer: 8 vats will be used.

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The magnetic field $H$ in the interface between region 1 and region 2 is $2.7a$ mWb/m$^2$, and the angle it makes with the positive $x$-axis is $\arctan(\frac{1.8}{2.7}) = \boxed{33^\circ}$.

The magnetic field in region 1 is given by $B = 2.5a_x + 6a_z$ mWb/m$^2$, and the magnetic field in region 2 is given by $B = 4.2a_x + 1.8a_z$ mWb/m$^2$. The interface between the two regions is defined by $z = 0$.

We can use the boundary condition for magnetic fields to find the magnetic field at the interface:

B_1(z = 0) = B_2(z = 0)

Substituting the expressions for $B_1$ and $B_2$, we get:

2.5a_x + 6a_z = 4.2a_x + 1.8a_z

Solving for $H$, we get:

H = 2.7a

The angle that $H$ makes with the positive $x$-axis can be found using the following formula:

tan θ = \frac{B_z}{B_x} = \frac{1.8}{2.7} = \frac{2}{3}

The angle θ is then $\arctan(\frac{2}{3}) = \boxed{33^\circ}$.

The first step is to use the boundary condition for magnetic fields to find the magnetic field at the interface. We can then use the definition of the tangent function to find the angle that $H$ makes with the positive $x$-axis.

The boundary condition for magnetic fields states that the magnetic field is continuous across an interface. This means that the components of the magnetic field in the two regions must be equal at the interface.

In this case, the two regions are defined by $z = 0$, so the components of the magnetic field must be equal at $z = 0$. We can use this to find the value of $H$ at the interface.

Once we have the value of $H$, we can use the definition of the tangent function to find the angle that it makes with the positive $x$-axis. The tangent function is defined as the ratio of the $z$-component of the magnetic field to the $x$-component of the magnetic field.

In this case, the $z$-component of the magnetic field is 1.8a, and the $x$-component of the magnetic field is 2.7a. So, the angle that $H$ makes with the positive $x$-axis is $\arctan(\frac{1.8}{2.7}) = \boxed{33^\circ}$.

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The fifth-degree Taylor polynomial for g(x) about x=0. is\(g(x) = 1 + x - x^{3}/3! + x^{5}/5! - x^{7}/7! + x^9/9!\)

We are given the function f(x) and the function g(x) defined by:

g(x) = 1 + ∫[0, x] f(t) dt

We need to find the first three nonzero terms and the general term of the Taylor series for cos(x) about x=0, and then use this series to write the first three nonzero terms and the general term of the Taylor series for g(x) about x=0. Finally, we will use the Taylor series for g(x) to determine whether f(x) has a relative minimum, maximum, or neither at x=0.

The Taylor series for cos(x) about x=0 is given by:

\(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

The first three nonzero terms are:

\(cos(x) = 1 - x^2/2! + x^4/4!\)

The general term of the series is:

\((-1)^n x^{(2n)} / (2n)!\)

Now, we can use this series to write the Taylor series for g(x) about x=0. We have:

g(x) = 1 + ∫[0, x] f(t) dt

Taking the derivative of g(x), we get:

g'(x) = f(x)

Taking the derivative of g'(x), we get:

g''(x) = f'(x)

And so on, we can take the nth derivative of g(x) to get:

\(g^{(n)(x)} = f^{(n)(x)\)

Using the Taylor series for cos(x), we can  write:

g(x) = 1 + ∫[0, x] f(t) dt

\(= 1 + x - x^3/3! + x^5/5! - x^7/7! + .\)..

= cos(x) + ∫[0, x] (f(t) - cos(t)) dt

The first three nonzero terms are:

\(g(x) = 1 + x - x^3/3!\)

The general term of the series is:

(-1)^n ∫[0, x] (f(t) - cos(t)) dt * x^(2n) / (2n)!

To determine whether f(x) has a relative minimum, maximum, or neither at x=0, we need to look at the sign of the second derivative of g(x) at x=0. We have:

g''(x) = f''(x)

Therefore, g''(0) = f''(0). Since we don't have any information about the sign of f''(0), we cannot determine whether f(x) has a relative minimum, maximum, or neither at x=0.

Finally, to write the fifth-degree Taylor polynomial for g(x) about x=0, we need to include the first five nonzero terms of the series:

\(g(x) =1 + x - x^3/3! + x^5/5! - x^7/7! + x^9/9!\)

This is the fifth-degree Taylor polynomial for g(x) about x=0.

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Answer:

A 31.3

Step-by-step explanation:

just took the test

Answer:

27.0m^2

Step-by-step explanation:

Use the formula A = 0.5 * a * b * sin (x)

this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.

Fill in the blanks:

A = 0.5 * 12 * 7 * sin (40)

use demos scientific calculator

A= 26.99

round up

27.0 m^2

Answer:

47:59

Step-by-step explanation:

1.5·10⁸ kilometers

As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

As a result, the solution is 1.5·10⁸

The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.

Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.

As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.

If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.

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Answer:

Step-by-step explanation:

hjbiuygyugflyuylgfiygiugukjkjkj

The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.

Based on the regression table provided, we can answer this question. The following is the regression table:Regression output table for night street fair variableNameCoefficientStandard Errort-StatP-ValueConstantb0.340.1402.430.023Number of male visitorsb10.6130.51320.750.462Number of female visitorsb10.9070.57918.830.000Number of retail standsb0.1160.0452.570.016Number of food (and beverage) standsb0.3160.0575.500.000Number of performanceb0.1460.1071.360.184The null hypothesis is rejected if p-value < 0.1; that is, there is a significant difference between the independent and dependent variables. The p-value of the Number of male visitors, the Number of female visitors, the Number of retail stands, the Number of food (and beverage) stands, and the Number of performances variables are 0.462, 0.000, 0.016, 0.000, and 0.184, respectively. As a result, the variables that are significant at the 10% level are the Number of female visitors, the Number of retail stands, and the Number of food (and beverage) stands. Therefore, the organizer should consider removing the Number of male visitors and Number of performance variables from the regression model. The variables that the organizer can consider removing from the regression model are the Number of male visitors and Number of performance.

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The acceleration at the time t = 2 is  -11.12 m/s²

The velocity seems to be quadratic.

Here we can see that the vertex of the parabola is at the point (6, 50), then we can write the velocity as:

v(t) = a*(t - 6)² + 50

Now let's find the value of a, we also can see that v(0) = 0, then:

0 = a*(0 - 6)² + 50

0 = 36a + 50

a = -50/36

a = 1.39

Then the velocity is:

v(t) = 1.39*(t - 6)² + 50

Expanding that we get:

v(t) = 1.39t² - 16.68t + 100.04

Derivating we will get the acceleration:

a(t) =  2*1.39*t - 16.68

Evaluating that in t = 2:

a(2) =  2*1.39*2 - 16.68 = -11.12

the acceleration is -11.12 m/s²

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The required coordinates of the reflected point B are (-6, -4).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The point A (-6, 4) and reflection point (1, -1), we get:

Translate the reflection point to the origin:

A' = (-6, 4) - (1, -1) = (-7, 5)

Reflect the translated point over the x-axis:

A'' = (-7, -5)

Translate the reflected point back to its original position:

B = A'' + (1, -1) = (-6, -4)

So the coordinates of the reflected point B are (-6, -4).

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Answer:

Step-by-step explanation:

1/4

Answer:

i guess 3 rd option is correct. ........hope it helps u ♥♥♥♥

Answer:

D on Ed2021

Step-by-step explanation:

Based on the information given regarding the triangle, the  transformation that can map Triangle PQR onto TriangleSTU is D. reflection, then translation.

It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.

It should be noted that the  transformation that can map Triangle PQR onto TriangleSTU is reflection, then translation. This is vital to form congruent triangles.

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Answer:

C. 9:5

Step-by-step explanation:

I got a 100 on my test

Given the information on the table, we can see the following increases on the minimum wage:

From 1980 to 1981 : 0.25

1981 to 1990: 0.45

1990 to 1996: 0.95

1996 to 1997: 0.4

1997 to 2007: 0.7

2007 to 2009:1.4

As we can see, the minimum wage has a tendency to grow with the passing of the years, but there is not a constant of growth. Therefore, we could use the mean of these increments, and use it to estimate the approximate minimum wage for 2020. First we get the mean of this 6 numbers:

We have that, in average, the minimum wage increased 0.691 from 1981 to 2009, then, an approximation for the current year would be the following:

then, the minimum wage for the current year should be $14.84, because the mean of the increments of the given data would give us an approximate of $14.84

The scale that she can use for the vertical axis to maximize the difference in the heights of the bars is option c, 10-50.

To maximize the difference in the heights of the bars, she needs to choose a scale that covers the range of values represented by the data while minimizing the unused space on the vertical axis.

Option a, 0-50, would cover the entire range of values but may result in a lot of unused space if the data values are relatively small.

Option b, 0-40, would restrict the range of values and may not fully represent the differences between the heights of the bars.

Option c, 10-50, is a suitable choice as it covers the range of values and allows for differentiation between the heights of the bars. It eliminates unnecessary empty space below 10, focusing on the relevant range of data.

Option d and e, 25-40, restrict the range even further and may not adequately capture the differences between the heights of the bars.

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Answer:

$195.30

Step-by-step explanation:

350 x 0.6 = 210

210 x 0.93 = 195.3

The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.

The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.

Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.

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The domain of the composite function (f o g) for f(x) = √(56 - x) and g(x) = x² - x is equal to √(56 - x² + x)

A function is composite when the co- domain of the first mapping is the domain of the second mapping

We shall evaluate the domain of the function (f o g) as follows:

(f o g) = f((g(x))

put x² - x for the value of x in f(x);

(f o g) = √[56 - (x² - x)]

open the bracket with negative sign;

(f o g) = √(56 - x³ + x)

Therefore, the domain of the composite function (f o g) for f(x) = √(56 - x) and g(x) = x² - x is equal to √(56 - x² + x)

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Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

The magnitude of the vector ||5u - 3v|| is √((25 ||u||^2) - (30(u · v)) + (9 ||v||^2)).

The magnitude of a vector represents its length or size. To calculate the magnitude of the vector ||5u - 3v||, we can use the formula √((25 ||u||^2) - (30(u · v)) + (9 ||v||^2)), where ||u|| denotes the magnitude of vector u and (u · v) represents the dot product of u and v.

The formula can be derived using the properties of vector algebra. The expression inside the square root involves three components: the squared magnitude of vector u, the dot product of u and v, and the squared magnitude of vector v. By substituting the appropriate values into the formula, we can compute the magnitude of ||5u - 3v||.

Understanding vector algebra can be particularly useful in various scientific and mathematical fields, such as physics, engineering, and computer graphics.

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Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

(  22 because you cannot buy half of one so you have to round it)

21.95 - 22

Answer:

210

Step-by-step explanation:

Volume for a rectangular prism follows the equation a=lwh so all you have to do is plug in and multiply

Hope this helps

Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.

Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:

Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11

Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121

Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89

Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89

Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.

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