why is x^4 the largest perfect square of x^5

Answer:

the simplified form of 3/135 is 1/45

Step-by-step explanation:

What i did was 135 divided by 3 which i got 45 then turned it into a fraction which would be 1/45

Answer:2 pounds per hour

Step-by-step explanation:

Answer:

put a dot at the second last line on the left and a dot at the third last line on the right.

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

1275/ 5 = 255 people per room

The data on the times to perform a certain task can be fitted to a beta distribution. The beta distribution is a skewed distribution, which is consistent with the knowledge that the times are skewed to the right.

The mode of the beta distribution is the value that occurs with the highest probability, and in this case the mode is estimated to be 18. The range of the beta distribution is the interval of possible values, and in this case the range is estimated to be [13, 35].

The beta distribution is a continuous probability distribution that has two parameters, alpha and beta. These parameters control the shape of the distribution, and they can be estimated from the data. In this case, the mode of the distribution is known to be 18, so this value can be used to estimate alpha. The range of the distribution is also known, so this value can be used to estimate beta. Once the parameters have been estimated, the beta distribution can be used to generate a probability distribution for the times to perform the task.

This approach can be used to fit any skewed distribution to a beta distribution. The beta distribution is a flexible distribution that can be used to model a wide variety of data.

To learn more about beta distribution click here : brainly.com/question/29753583

#SPJ11

Answer:

it 102

Step-by-step explanation:

I hope it works

To convert the point from rectangular coordinates to spherical coordinates are (3 sqrt(2), π/4, 0.638), we need to use the following formulas:

- rho = sqrt(x^2 + y^2 + z^2)
- phi = arccos(z/rho)
- theta = arctan(y/x)
In this case, we have the rectangular coordinates (-2, -2, √19), so we can plug these values into the formulas:
- rho = sqrt((-2)^2 + (-2)^2 + (√19)^2) = sqrt(4 + 4 + 19) = 3 sqrt(2)
- phi = arccos(√19 / (3 sqrt(2))) = arccos(√19 / (3 sqrt(2))) ≈ 0.638 radians
- theta = arctan((-2)/(-2)) = arctan(1) = π/4 radians

Learn more about radians here:

https://brainly.com/question/27025090

#SPJ11

The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

To learn more about Measures of Central Tendency, visit:

https://brainly.com/question/20725627

#SPJ4

\({ \red{\boxed{ \tt{Step-by-step-explaination}}}}\)

Perimeter of a rectangle : \({ \purple{ \tt{2(l+b)}}}\)

length = \({ \red{ \tt{17cm}}}\)

breadth= \({ \red{ \tt{?}}}\)

now,

according to the rule.

perimeter = 2(l+b)

66 = 2(17+b)

66 = 34 + 2b

66 - 34 = 2b

32 = 2b

32/2 = b

16 cm = b

hence b = \({ \pink{ \sf{16cm}}}\)

Answer:omak sus

Step-by-step explanation:

The solution is, the side lengths that are possible are from 6 to 30. as, The inequality is, 6 ≤  x ≤ 30.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Natasha wants to plant a square garden and enclose it with a fence.

She has 120 feet of fencing available

and she wants the sides of her garden to be at least 6 feet long.

now, we have to Write and solve the inequality that describes the side lengths that are possible,

so, we have,

the garden is square, so, perimeter = 4 * side length

now. let, the length of side = x

we get,

perimeter = 4x = y

so, we get,

x ≥ 6 ......(1)

and, y ≤ 120

i.e. 4x ≤ 120

or, x ≤ 30 .....(2)

so, from 1 & 2 we get,

The inequality is, 6 ≤  x ≤ 30

Hence, The solution is, the side lengths that are possible are from 6 to 30. as, The inequality is, 6 ≤  x ≤ 30.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ2

Answer:

I think it's D because my mind said so

Uhhh... where is the question                          

Answer:

B

Step-by-step explanation:

3x^2-5x+2

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

therefore

rectangle= L×B

L= (3x-2)(x-1)

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12

Answer:

(x,y) = (0,3)

Step-by-step explanation:

\(A:3x-2y = -6\\B:3x+4y=12\\B-A: 3x-3x+4y-(-2y)=12-(-6)\\simplify: 0x+6y=18\\6y=18\\divide\ by\ 6\ on both sides: y=3\\plug 3 into either equation: 3x+4(3)=12\\3x+12=12\\3x=0\\Therefore,\ x=0,y=3\\\\Check work:\ 3(0)-2(3)=0-6=-6\)

Answer:

find the value of 8x³-y³if 2x-yandxy=-1

The equation of the line passing through the given points (-4, 2) and (0, 3) is \(y = \frac{1}{4}x + 3\).

This question is incomplete, the complete question is:

What is the equation of the line passing through the points (-4, 2) and (0, 3).

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the points through which the line passes:

(-4, 2) and (0, 3)

First, we determine the slope of the line using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Hence:

m = ( 3 - 2 ) / ( 0 - (-4) )

m = ( 1 ) / ( 4 )

m = 1/4

Using the point-slope form, plug in one of the given points and slope m = 1/4 to find the equation of the line.

Let's use the point (-4,2):

y - y₁ = m(x - x₁)

\(y-2 = \frac{1}{4}( x - (-4))\\\\y-2 = \frac{1}{4}( x +4)\)

\(y - 2 = \frac{1}{4}x + 1\)

\(y = \frac{1}{4}x + 1 + 2\\ \\y = \frac{1}{4}x + 3\)

Therefore, the equation of the line is \(y = \frac{1}{4}x + 3\).

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

The statements that can be used to describe the original functions f(x) and g(x) are when added, the sum of the y-intercepts must be 8. The correct option is A.

Used the concept of function that states,

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

It is given that sum and product of two linear functions are shown in the image which is attached with the answer below;-

The statements that can be used to describe the original functions f(x) and g(x) will be calculated as below:-

Let the functions be:-

f(x) = ax + b

g(x) = cx + d

Their sum is;

j(x) = (a + c)x + b + d

Their product is;

k(x) = (ax + b)(cx + d)

A. When added, the sum of the y-intercepts must be 8.

As We see point (0,8) of j(x) on the graph. b+d = 8

So, This is Correct.

B. When multiplied, the product of the y-intercepts must be 8.

8 is the vertex of k(x).

The vertex of \(ax^2 + bx + c\) is \(\dfrac{- b}{2a}\)

So it has no relation to the constants of the functions f(x) and g(x).

C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.

It refers to the value of ac.

If one of a or c has an opposite sign it makes k(x) open down but it is not as per the graph.

Hence it is incorrect.

D. f(x) could have a rate of change equal to 3 and g(x) could have a rate of change of -3.

As per the above statement, both linear equations could be positive as their sum and product are positive from the graphs of j(x) and k(x).

Hence it is false,

E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of -1.

It should result in decreasing function of j(x) with a slope of 1 but it is increasing as per the graph.

Hence it is false.

Read more about Function Graphs at;

brainly.com/question/4025726

#SPJ12

Given:-

A roller coaster drops 112 feet before going back up 52 feet.

To find an additional expression for the situation. Then find the sum.

So here dropping down is considered as negative and back up is considered as positive.

So we get,

So the sum is,

So the required solution is -60.



The legal context and definitions are (a) Negligence - Establishes the link between the defendant's actions and the plaintiff's harm. (b) Negligence defenses - Plaintiff voluntarily accepts known risks, relieving the defendant of liability. (c) Invasion of privacy - Unjustified intrusion into private affairs that would offend a reasonable person. (d) Negligence - Accident itself suggests defendant's negligence without direct evidence (e) Defamation - False spoken statements harming someone's reputation (f) Monetary awards to punish and deter egregious behavior. (g) Defamation defenses - Immunity for certain statements made in specific contexts.

(a) Cause-in-fact

Legal context: Negligence.

Definition: Cause-in-fact refers to the actual cause or link between the defendant's conduct and the plaintiff's harm, establishing that the harm would not have occurred without the defendant's actions.

(b) Assumption of risk

Legal context: Negligence defenses.

Definition: Assumption of risk is a defense in negligence cases where the plaintiff voluntarily and knowingly accepts the risks associated with a certain activity, relieving the defendant of liability for any resulting harm.

(c) Seclusion

Legal context: Invasion of privacy.

Definition: Seclusion refers to the intentional and unjustified intrusion into an individual's private affairs or seclusion, which would highly offend a reasonable person.

(d) Res ipsa loquitur

Legal context: Negligence.

Definition: Res ipsa loquitur is a doctrine where the occurrence of an accident or injury itself suggests that the defendant was negligent, allowing the plaintiff to establish a prima facie case without direct evidence of negligence.

(e) Slander

Legal context: Defamation.

Definition: Slander is a form of defamation that involves making false spoken statements about someone that harm their reputation.

(f) Punitive damages

Legal context: Various tort subject areas.

Definition: Punitive damages are monetary awards beyond compensatory damages, awarded in certain cases to punish the defendant for particularly egregious behavior and to deter others from similar conduct.

(g) Absolute privilege

Legal context: Defamation defenses.

Definition: Absolute privilege is a defense in defamation cases that grants immunity from liability for statements made in certain contexts, such as during legislative or judicial proceedings, regardless of their truth or intent.

To know more about legal context:

https://brainly.com/question/28437027

#SPJ4

--The given question is incomplete, the complete question is given below " For each term (1) identify the legal context in which it arises; and (2) define the term.

For the legal context part of your answer for each term, indicate which tort subject area the term relates to (e.g., "fraud," “false imprisonment,” “defamation,” “defamation defenses,” “invasion of privacy,” “interference with contract,” “interference with prospective economic advantage,” “negligence,” “negligence defenses,” “strict liability,” or, if and where appropriate, “intentional torts” generally).

In addition, the definition portions of your answers need not be more than one sentence for each term. Your answer for each term is worth a maximum of 2 points.

(a) cause-in-fact

(b) assumption of risk

(c) seclusion

(d) res ipsa loquitur

(e) slander

(f) punitive damages

(g) absolute privilege"--

Answer:

Brainliest pls

Step-by-step explanation:

A≈104.03in²

The probability that the two selected chips are of different colors is 15/32

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

Blue = 5

Yellow = 3

This means that

Total = 5 + 3

Total = 8

The probability of different color is then calculated as

P(Different) = Yellow and Blue or Blue and Yellow

So, we have

P = 3/8 * 5/8 * 2

Evaluate

P = 30/64

Simplify

P = 15/32

Hence, the probability is 15/32

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Using the law of cosines, the length of BC in the given quadrilateral is: 8.1 cm.

The law of cosines that can be used to find the length of a side of a triangle with a known included angle and two sides is:

c² = a² + b² - 2 × a × b × Cos C.

Considering right triangle ABD,

BD = a

DC = b

BC = c

Use the Pythagorean theorem to find the length of BD in the quadrilateral as shown in the diagram:

BD = √(7.5² + 5²)

BD = √(7.5² + 5²)

BD = 9.0 cm

Use the law of cosines to find the length of BC:

BC² = BD² + DC² - 2 × BD × DC × Cos <BDC.

Substitute

BC² = 9.0² + 13² - 2 × 9.0 × 13 × Cos 38

BC² = 250 - 184.4

BC² = 65.6

BC = √65.6

BC = 8.1 cm

Learn more about the law of cosines on:

https://brainly.com/question/4372174

#SPJ1

The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.

To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.

Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.

To find the maximum profit per day, we can plug in x = 1500 into the profit function:

P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250

Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.

Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.

P'(x) = -0.002x + 3

Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.

-0.002x + 3 = 0

x = 1500 cans

Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.

P(1500) = -0.001(1500)^2 + 3(1500) - 1800

P(1500) = $600

So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.

Learn more about profit at: brainly.com/question/15699405

#SPJ11

The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

The profit function for the soft drink vendor is given by:

P(x) = \(0.001x^2 + 3x + 1800\)

To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 0.001 and b = 3. Substituting these values, we get:

x = -3 / (2 * 0.001) = -1500

Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:

P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)

Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

Learn more about maximum profit

https://brainly.com/question/29248429

#SPJ4

The subsets d and e (Satisfying p(5) = 0 and those of the form p(x) = x^3 + c, respectively) are subspaces of P^4.

To determine which of the given subsets of P^4 (the vector space of polynomials of degree at most 4) are subspaces, we need to check if they satisfy the three properties of a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

a. S is the subset consisting of those polynomials satisfying p(5) > 0:

This subset is not a subspace because it does not satisfy closure under scalar multiplication. If we multiply a polynomial in S by a negative scalar, the resulting polynomial will not satisfy p(5) > 0.

b. S is the subset consisting of those polynomials of degree three:

This subset is not a subspace because it does not contain the zero vector, which is the polynomial of degree zero.

c. S is the subset consisting of those polynomials of the form p(x) = ax^3 + bx:

This subset is not a subspace because it does not satisfy closure under addition. If we take two polynomials of this form and add them, the resulting polynomial will have an x^2 term, which is not in the given form.

d. S is the subset consisting of those polynomials satisfying p(5) = 0:

This subset is a subspace. It contains the zero vector, as the zero polynomial satisfies p(5) = 0. It also satisfies closure under addition and scalar multiplication, as the sum or scalar multiple of polynomials that satisfy p(5) = 0 will still satisfy p(5) = 0.

e. S is the subset consisting of those polynomials of the form p(x) = x^3 + c:

This subset is a subspace. It contains the zero vector (when c = 0), and it satisfies closure under addition and scalar multiplication. Adding or multiplying polynomials of this form will still result in a polynomial of the same form.

Learn more about polynomials at: brainly.com/question/11536910

#SPJ11

Answer:

(-4)^12

Step-by-step explanation:

Hello!

We can use exponent rules to rewrite the equation.

a^b * a^c = a^(b+c)

The value of the equation can be calculated by (-4)^12.

\((-4)^{12}\)Answer:

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , then

\((-4)^{5}\) × \((-4)^{7}\)

= \((-4)^{(5+7)}\)

= \((-4)^{12}\)

Answer:

20x+4

Step-by-step explanation:

Answer:

$79.99

Correct method:

\(\rightarrow \sf 5(r-14.5)=327.45\)

\(\rightarrow \sf 5r-72.5=327.45\)

\(\rightarrow \sf 5r=327.45+72.5\)

\(\rightarrow \sf 5r=399.95\)

\(\rightarrow \sf r=\dfrac{399.95}{5}\)

\(\rightarrow \sf r=79.99\)

The regular price is $79.99

Answer:

$79.99

Step-by-step explanation:

The error is in step 3.  He needed to ADD 72.50 to both sides of the equation.  Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.

Correction calculation

5(r - 14.50) = 327.45

5r - 72.50 = 327.45

             5r = 399.95

                r = 79.99

The regular price is $79.99        

The curves are intersecting at (-1.75, 2.5) and (1.75, 2)

Nonlinear functions include all functions that are not linear. The following are some instances of nonlinear functions: f(x) = x2 - 2x + 2, ln (x), ex, etc.

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(-1.75, 2.5) and (1.75, 2)

To learn more about, solutions of equation, here

brainly.com/question/14603452

#SPJ1

The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11