PLEASE HELP!!
Jack bought an automatic water bottle feeder for his cat. A diagram of the bottle is shown below. What is the maximum amount of water that the bottle can hold?

The correct answer is: 0, -3, and 3. At  0, -3, and 3 of x does fx) x4-18x2 have a critical point where the graph changes from decreasing to increasing.

To find the critical points where the graph of the function f(x) = x^4 - 18x^2 changes from decreasing to increasing, we need to find the values of x where the derivative of the function is equal to zero or does not exist.

Let's find the derivative of f(x) with respect to x:

f'(x) = 4x^3 - 36x

To find the critical points, we set the derivative equal to zero and solve for x:

4x^3 - 36x = 0

Factor out 4x:

4x(x^2 - 9) = 0

Now we have two factors:

1) 4x = 0, which gives x = 0

2) x^2 - 9 = 0, which gives x = ±3

So, the critical points where the graph changes from decreasing to increasing are x = 0, x = -3, and x = 3.

Therefore, the correct answer is: 0, -3, and 3.

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Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

Answer:

1.5cm

Step-by-step explanation:

I TOOK THE TEST

Answer:

D. x = 12.4

Step-by-step explanation:

A. (2.4) - 5 = 7.4

-2.6 = 7.4

B. (6.9) - 5 = 7.4

1.9 = 7.4

C. (7.9) - 5 = 7.4

2.9 = 7.4

D. (12.4) - 5 = 7.4

7.4 = 7.4

Answer:

None of the listed

Step-by-step explanation:

\(Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution\)

the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

given that

there are 36 independent problems

mean(μ) = 6minutes

standard deviation(σ) = 3 minutes

sample standard deviation = σ/\(\sqrt{n}\)

 = 3/\(\sqrt{36}\)

 =3/6

 =0.5

the sample mean x of 36 questions answering time approximately follows a normal distribution with mean 6 minutes and sample standard deviation is 0.5 minutes

now we need to find the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

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from the sequence,

Answer:

No, No, Yes, Yes.

Step-by-step explanation: 2 times -3 = -6. -6 times -4 = 24.

So, with that said, the first one multiples out to -24.

The second multiplies out to again -24.

12 times 2 = 24.

A negative and a negative multiply to become a positive, so -4 times -6 = 24.

Answer:

24 i belive

so you should choose

Step-by-step explanation:

(6) (-4) = no

(-3) (8) =no

(12) (2) =yes

(-4) (-6)= yes

Answer:

i hope it helpful

thank you

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

x + 6 y = 5

6 x + 2 y = 8

x − y + 4 = 8

Use the given functions to set up and simplify  

2 .

x y =

− 1 =

3 =

− 1 =

2 =

0 − 4 = − 4

4 = − 4

2 = − 4

Step-by-step explanation:

Find the equation with a point and y-intercept.

y = ( y/ x  −  y )  x  +  x y

The chosen topic is not meant for use with this type of problem. Try the examples below.

( 0 , 9 )  ,  ( 8 , 6 )

( 0 , 9 )  ,  ( 5 , 4 )  ,  ( 1 , 4 )

( 1 , 2 )  ,  ( 3 , 4 )

Answer:

DB!

Step-by-step explanation:

Because if you multiply them out, they both equal 6k-30.

-6(5-k)=-30+6k, which is equal to 6k-30.

Hope I helped!

because you can use the distributive property with

-6(5-k)

-6×5= -30

-6×-1k= 6k

so that equals 6k-30

Answer:

y=-7x+4

Hope it helps!

Answer:

yes

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

because A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate

Answer: yes it is

Step-by-step explanation:

The total cost of the dinner is given by the equation A = $ 161.19

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the dinner be represented as A

Now , the equation will be

The cost of the dinner without tax and tip = $ 128.95

The sales tax percentage = 7.5 %

So , the sales tax amount = ( 7.5 % ) x cost of the dinner without tax and tip

Substituting the values in the equation , we get

The sales tax amount = ( 7.5/100 ) x 128.95

The sales tax amount = $ 9.0265

Now , the percentage of tip = 18 %

So , the tip amount = ( 18 % ) x 128.95

The tip amount = $ 23.211

And , the total cost of the dinner A = cost of the dinner without tax and tip + sales tax amount + tip amount

On simplifying the equation , we get

The total cost of the dinner A = $ 128.95 + $ 9.0265 + $ 23.211

The total cost of the dinner A = $ 161.1875

Hence , the total amount of dinner is $ 161.19

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(i) (p∧¬q)∨(¬p∨q) is a tautology.

(ii) [p→(q→p)]↔(¬p∧p) is a contradiction.

(iii) [p∧(p→q)]→q is a tautology.

(i) To determine if the expression (p∧¬q)∨(¬p∨q) is a tautology or a contradiction, we can use the laws of logic without resorting to truth tables. We can break down the expression into two main components: (p∧¬q) and (¬p∨q).

For the first component, (p∧¬q), we observe that the conjunction (p∧¬q) will only be true if both p and ¬q are true. Similarly, for the second component, (¬p∨q), the disjunction (¬p∨q) will only be false if both ¬p and q are false.

Now, considering the overall expression, (p∧¬q)∨(¬p∨q), we can see that it will be true in two scenarios: either when (p∧¬q) is true or when (¬p∨q) is true. Since we have established that both conditions can be satisfied, it follows that the expression is a tautology.

(ii) Moving on to the expression [p→(q→p)]↔(¬p∧p), we can again analyze it without resorting to truth tables. Breaking it down, we have two main components: [p→(q→p)] and (¬p∧p).

For the first component, [p→(q→p)], we know that the implication p→(q→p) is always true, regardless of the truth values of p and q. This is because in the case where p is false, the entire implication is vacuously true, and when p is true, the implication reduces to q→p, which is also always true.

On the other hand, for the second component, (¬p∧p), we can see that it will always be false since it asserts the conjunction of a proposition and its negation, which is contradictory.

Considering the overall expression, [p→(q→p)]↔(¬p∧p), we have a contradiction. This is because the first component is always true, while the second component is always false. Hence, the expression as a whole is a contradiction.

(iii) Lastly, we examine the expression [p∧(p→q)]→q. Similar to the previous analyses, we break it down into two components: [p∧(p→q)] and q.

For the first component, [p∧(p→q)], we know that p→q is equivalent to ¬p∨q. Therefore, p→q is true when p is false or when both p and q are true. Since we are considering the conjunction of p and (p→q), this component will be true only when both p and q are true.

Now, for the second component, q, we know that it can either be true or false.

Considering the overall expression, [p∧(p→q)]→q, we can see that it will always be true. This is because the first component requires both p and q to be true, and if that condition is satisfied, the implication [p∧(p→q)]→q holds true as well. Therefore, the expression is a tautology.

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Answer:

the answer is x= 1/4 :D .....

Answer: bro its x=1 over 4

Step-by-step explanation:

Answer:

c. 2(x-1)(x-4)

Step-by-step explanation:

c. 2(x-1)(x-4)

Answer: There is no slope

Step-by-step explanation:

These points form a straight line. You can tell because both of their x coordinates are -1 which means they are a straight line when formed. If both coordinates have the same x (sign and number) they form a straight line.

The basic measurement that is used to calculate networks are as follows Degree Centrality (DC), Betweenness Centrality (BC), Closeness Centrality (CC), Cluster Coefficient (CC).

The basic measurement that is used to calculate networks are as follows:

Degree Centrality (DC): It is the measure of the number of edges attached to a node (degree).

It represents how connected a node is in the network and how much control it has over the network. In-degree centrality (IDC) and out-degree centrality (ODC) are two types of degree centrality.

Betweenness Centrality (BC): It is the measure of the number of times a node appears on the shortest path between two other nodes.

It represents the ability of a node to mediate communication between other nodes.

Closeness Centrality (CC): It is the measure of the inverse sum of the shortest path distances from a node to all other nodes in the network.

It represents how fast information can spread through the network.

Cluster Coefficient (CC): It is the measure of the fraction of triangles (3 nodes connected to each other) around a node. It represents how likely nodes are to be connected to each other.

The measurement/statistics of the network are as follows: Degree centrality tells how well-connected a node is in the network.

Betweenness centrality tells how well a node mediates the communication between other nodes.

Closeness centrality tells how fast the information spreads through the network.

Cluster coefficient tells how likely nodes are connected to each other.

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a) The absolute risk of dying today is 1/10,000, which is given in the question.

b) The absolute risk of dying today if you ride a bike is 1/5,000.

c) The absolute risk of dying today if you wear a safety belt and drive defensively is 1/20,000.

Given: The risk of dying today is 1/10,000, the risk of being hit and killed today if you ride a bicycle is 1/5,000, and the risk of dying today if you wear a safety belt and drive defensively is 1/20,000.Absolute risk is defined as the probability or chance of an event taking place.

It indicates the number of people who are expected to experience the event over a given period, typically a year. This is in contrast to the relative risk, which compares the chance of an event happening in one group with the likelihood of it occurring in another group.

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Answer:

3.2h

Step-by-step explanation:

Remaining distance = Total distance - Distance already covered

Remaining distance = 12 km - 4 km

Remaining distance = 8 km

Time = Distance ÷ Speed

Time = 8 km ÷ 2.5 km/h

Time = 3.2 hours

Therefore, Jody needs approximately 3.2 more hours to complete the hike.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Using a = 0, b = π/2, c = 0, d = π/2, e = 0, and f = 5/cos(φ), the volume can be written as:

\(Volume = ∫0^(π/2) ∫0^(π/2) ∫0^(5/cos(φ)) ρ^2 sin(φ) dρ dφ dθ\)

We will use spherical coordinates to set up the integral for the given problem. In spherical coordinates, the equation of the sphere\(x^2 + y^2 + z^2 ≤ 29\) can be written as:

\(ρ^2 ≤ 29\)

where ρ is the radial coordinate. The equation of the plane z = 5 can be written in spherical coordinates as:

ρ cos(φ) = 5

where φ is the polar angle.

To find the limits of integration, we need to consider the first octant, which corresponds to the region where 0 ≤ θ ≤ π/2, 0 ≤ φ ≤ π/2, and 0 ≤ ρ ≤ √29. We also need to find the upper limit of integration for ρ, which is the intersection of the sphere and the plane. Solving the equation ρ cos(φ) = 5 for ρ, we get:

ρ = 5 / cos(φ)

So, the limits of integration are:

0 ≤ θ ≤ π/2

0 ≤ φ ≤ π/2

0 ≤ ρ ≤ 5 / cos(φ)

Therefore, the triple integral for the volume of the cap of the solid sphere can be written as:

∭\((x^2 + y^2 + z^2 ≤ 29 ∩ z ≥ 5) dV\)

\(= ∫[0, π/2] ∫[0, π/2] ∫[0, 5/cos(φ)] ρ^2 sin(φ) dρ dφ dθ\)

The integrand \(ρ^2 sin(φ)\) represents the volume element in spherical coordinates. Evaluating this integral will give the volume of the cap of the solid sphere cut off by the plane z = 5 and restricted to the first octant.

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In the given picture there is a graph and we have to find out is that graph is one to one or not.

It is a one to one graph.

In the graph there is line.

To know is the line is one to one or not we have to check 1st that the line is a function or not.

To check the line is function or not we have to do by vertical line test.

Graphically, the vertical line test is a way to determine if a line is a function or not.

To perform the vertical line test, we pass the vertical lines arrows the graph and if it does not intersect the graph more then one point it passes the vertical line then it can say as a function.

In the given figure1 we can see the vertical lines does not touch the line in the graph more then one point so it is a function.

Now, we know the line is a function so now we have to check if the line is one to one or not.

To check the line is one to one or not we have to do by horizontal line test.

Graphically, the horizontal line test is a way to determine if a line is a one to one or not.

To perform the horizontal line test, we pass the horizontal lines arrows the graph and if it does not intersect the graph more then one point it passes the horizontal line then it can say as a one to one function.

In the given figure2 we can see the horizontal lines does not touch the line in the graph more then one point so it is a one to one function.

Therefore, The graph is a one to one function.

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Complete Question

A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.

Answer:

he Area of the rug is greater than  but less than \(441ft\)

Step-by-step explanation:

From the question we are told that:

Perimeter \(P=60ft\)

Value Range:Between 10-20

Generally the Area of the rug is greater than for values of X and Y greater than 9

Therefore Area is greater than from whole number 9

Generally the equation for Area greater than \(A_g\) is mathematically given by

\(A_l=X*Y\)

Where

\(X=9\\Y=9\)

Therefore

\(A_l=X*Y\)

\(A_l=9*9\)

\(A_l=81ft\)

Generally the Area of the rug is less than for values of X and Y less than 21

Therefore Area is less than from whole number 21

Generally the equation for Area greater than A_l is mathematically given by

\(A_g=X*Y\)

Where

\(X=21\\Y=21\)

Therefore

\(A_g=X*Y\)

\(A_g=21*21\)

\(A_g=441ft\)