What is the sum of the given polynomials in standard form?

(x2−3x)+(−2x2+5x−3)

Answer:

3∛2

Step-by-step explanation:

A cylinder has a volume of 54 centimeters cubed. Given that its height is equal to the radius of its base, find its height.

V=πr^2h

πr^2h = 54 π

remove π from both sides

r^2h=54

h^2 x H =54

h^3 =54

h=∛54 = ∛27*2 = ∛27 * ∛2 = 3∛2 cm

Answer:

There is an x-intercept at x=2

Step-by-step explanation:

wait no, convert to y=2x-4. X itnercept is when it should be like (X,0), so Y should be 0 and solve for x. 4=2x, x=2

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

The chain rule is a fundamental mathematical tool used to differentiate composite functions. It is a rule that allows us to differentiate a composite function (a function of a function) by decomposing it into multiple single-variable functions.

To use the chain rule, first identify each individual function in the composite function. Next, differentiate each function separately, using the standard rules of differentiation. Finally, multiply the derivatives of each individual function together. The result is the of the composite function.

For example, if we have a composite function f(x)=g(h(x)), then the chain rule states that the derivative of f is equal to the derivative of g times the derivative of h. This can be expressed mathematically as f'(x)=g'(h(x))*h'(x).

Here you can learn more about the chain rule

https://brainly.com/question/28972262#

#SPJ11

Answer:

The correct answer will be A 6

Step-by-step explanation:

Answer:abcd

Step-by-step explanation:

"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",

(x, y) → (x, y + h)

If the vertices of a square are,

A(1, 2), B(3, 2), C(3, 4), D(1, 4)

If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,

A(1, 2) → A'(1, 2+5)

          → A'(1, 7)

B(3, 2) → B'(3, 2+5)

           → B'(3, 7)

C(3, 4) → C'(3, 4+5)

           → C'(3, 9)

D(1, 4) → D'(1, 4+5)

          → D'(1, 9)

Therefore, Option (A) will be the answer.

Learn more,

https://brainly.com/question/13365243

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

Learn more about vectors

brainly.com/question/29740341

#SPJ11

Answer:

\(x=-1,\:y=-1\)

Step-by-step explanation:

\(\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}\)

\(\mathrm{Add\:the\:equations}\)

\(6x+4y=-10\)

\(+\)

\(\underline{-6x+5y=1}\)

\(9y=-9\)

\(\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}\)

Solve 9y=-9 for y: y=-1

\(\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1\)

Solve -6x+5(-1)=1 for x: x=-1

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=-1,\:y=-1\)

We can expect the longest 20% of these scorpions to be above a length of approximately 2.0272 inches.

To find the value above which we could expect the longest 20% of these scorpions, we need to use the z-score formula. First, we need to find the z-score that corresponds to the 80th percentile, which is the complement of the top 20%. Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 80th percentile is 0.84.

Next, we use the formula z = (x - mu) / sigma, where z is the z-score, x is the value we are trying to find, mu is the mean, and sigma is the standard deviation. We plug in the given values and solve for x:

0.84 = (x - 1.96) / 0.08

0.0672 = x - 1.96

x = 2.0272

Know more about z-score here:

https://brainly.com/question/15016913

#SPJ11

Answer:

C. xy²

Step-by-step explanation:

You have to add the exponents:

(xy) exponent is 1

(x) exponent is 1

Combine the (x):

xy²

Answer:

$1748.25

Step-by-step explanation:

Multiply:

 ($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)

To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price.

Profit is the difference between the total revenue and total cost of a business. It is an important measure of the success of a business, as it shows how much money the business is making from its operations. Profit is usually expressed as a percentage of the total revenue. It is also known as "net income" or "net profit" and is the amount of money left over after all expenses, including taxes, have been paid. Profit is important because it allows a business to reinvest in itself, expand, and grow. It can also be used to pay dividends to shareholders, increase wages, and cover other expenses.

To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price. This is because if the shopkeeper was gaining 20% before, a 10% discount would reduce the profit he is making to 10%.

Lets 20% gain = $20

Then market price be = 120/100 = $120

10% gain = $110

Discount = $120 -  $110

               = $10

Discount % = 10/120

                  = 0.083

                  = 8.33%

Thus, To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price.

To learn more about profit

brainly.com/question/1078746

#SPJ1

The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

For more such questions on equations, click on:

https://brainly.com/question/17145398

#SPJ8

The shapes from the cross section are square, parallelogram, trapezium, kite, triangle and rectangle.

It is important to note that the cross section of a cube is a square.

From the cross section visible from the figure, we have the shapes;

Thus, the shapes from the cross section are square, parallelogram, trapezium, kite, triangle and rectangle.

Learn more about cross section of a cube here:

https://brainly.com/question/2156900

#SPJ1

\( ({5}^{ - 8} )( {5}^{ - 10} ) = {5}^{ - 8 - 10} = {5}^{ - 18} \)

I Hope This Can Help You ^_^

nswer

First image

Angle ABC covers around the inside and outside of the circle.

Second image

Angle x l

hird image

Angle DBE l

ngle of arc DE l

ngle of arc AC l

ourth angle

ll the angles at U lie inside the circle.

ngle 78° l

ngle 114° l

ope this Helps!!!

We can use the integral test to determine the convergence of the series:

∫₂^∞ 1/(x^p ln(x)) dx

We integrate this using u-substitution with u = ln(x):

∫ln(2)^∞ 1/(u^p) du

This integral converges if and only if p > 1, so the given series converges if and only if p > 1.

Therefore, the series converges for all values of p > 1.

For more questions like convergence visit the link below:

https://brainly.com/question/31054770

#SPJ11

Answer:

C: 108 cans

Step-by-step explanation:

just trust me bro

Angles in a triangle are the sum (total) of the angles at each vertex in a triangle .All three statements are true.

To determine which statements are true, we need to use the relationship between the angles in a triangle.

Let x be the measure of ∠F. Then we have:

m∠B = 5x + 6 (given)

The sum of the angles in a triangle is 180°, so:

m∠F + m∠B + m∠C = 180°

Substituting the given values, we get:

x + (5x + 6) + m∠C = 180°

Simplifying and solving for m∠C, we get:

m∠C = 169 - 6x

Now we can check each statement:

m∠B > m∠F

Substituting the given values, we get:

5x + 6 > x

Simplifying and solving for x, we get:

x < 1.2

Therefore, this statement is true.

m∠C > m∠B

Substituting the expression we derived for m∠C and m∠B, we get:

169 - 6x > 5x + 6

Simplifying and solving for x, we get:

x < 28.3

Therefore, this statement is also true.

m∠C + m∠B > m∠F

Substituting the expressions we derived for m∠C, m∠B, and m∠F, we get:

169 - 6x + 5x + 6 > x

Simplifying and solving for x, we get:

x < 31.8

Therefore, this statement is also true.

So all three statements are true.

Learn more about  Angles  triangle

https://brainly.com/question/27682397

#SPJ4

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

Read more about Equilateral triangle construction at: https://brainly.com/question/28564643

#SPJ1

Answer: -y=7

Explanation:

Think of your problem as subtraction:

2x-3y+15

-2x+3y=-1

In the scenario described, if every firm in the city hires employees through a process equivalent to simple random sampling, it means that the hiring process is unbiased with respect to race.

Simple random sampling ensures that each individual has an equal chance of being selected for employment, regardless of their race.

Given that the percentage of black individuals in the city is 10%, we would expect the representation of black employees in each firm to be approximately 10% by probabilibilty as well if the hiring process is unbiased. This is because the hiring process is equivalent to a random selection from the city's population.

If the firms adhere to this unbiased hiring process, none of them would be found guilty of discrimination by the z-test or any statistical test. The z-test is used to determine whether the observed difference between two proportions is statistically significant, indicating a deviation from what would be expected due to chance.

In this case, if the firms follow unbiased simple random sampling and the percentage of black employees matches the percentage of black individuals in the surrounding region (10%), there would be no statistically significant difference between the observed proportion of black employees and the expected proportion based on the city's demographics.

Therefore, in this scenario, none of the firms would be found guilty of discrimination based on the z-test or any statistical test because they would be meeting the expected representation of black employees based on the population's demographics.

Learn more about probability here; brainly.com/question/31828911

#SPJ11

When a figure is dilated with a scale factor of 1, there is no change in size or shape. The figure remains unchanged, with every point retaining its original position. This is because a scale factor of 1 indicates that there is no stretching or shrinking occurring.

When a figure is dilated with a scale factor of 1, it means that the size and shape of the figure remains unchanged. The word "dilate" means to stretch or expand, but in this case, a scale factor of 1 implies that there is no stretching or shrinking occurring.

To understand this concept better, let's consider an example. Imagine we have a square with side length 5 units. If we dilate this square with a scale factor of 1, the resulting figure will have the same side length of 5 units as the original square. The shape and proportions of the figure will be identical to the original square.

This happens because a scale factor of 1 means that every point in the figure remains in the same position. There is no change in size or shape. The figure is essentially a copy of the original, overlapping perfectly.

Learn more about scale factor from the link:

https://brainly.com/question/25722260

#SPJ11

The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

To know more about MCVST or MCVSD admission test refer here:

https://brainly.com/question/2802013

#SPJ11

a) The missing frequency is 20

b) The modal number of people in a car is 1

c) The median is 3

d) The mean is 0.95

The sum of the frequencies must be 60.

The missing frequency by subtracting the sum of the other frequencies from 60

60 - (28 + 3 + 7 + 1 + 1) = 20

To find the median, we need to arrange the data in order from smallest to largest:

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6

There are 60 numbers in total, so the median is the average of the 30th and 31st numbers:

median = (3 + 3)/2 = 3

The mode is the value with the highest frequency, which is 1.

mean = (1 x 28 + 2 x 20 + 3 x 3 + 4 x 7 + 5 x 1 + 6 x 1) / 60

= (28 + 40 + 9 + 28 + 5 + 6) / 60

= 0.95

Therefore, the missing frequency, mode, median and mean has been found

Learn more about mean here

brainly.com/question/4001516

#SPJ4

The given question is incomplete, the complete question is

Hassan recorded the number of people in 60 passing cars

people 1 2 3 4 5 6

frequency 28 ? 3 7 1 1

a)find the missing frequency

b)median

c)modal

d)mean

Step-by-step explanation:

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

To know more about eigenvalues, visit

https://brainly.com/question/29861415

#SPJ11