On december 17, 1787, delaware was the first state to join the union followed by pennsylvania on december 12 and newjersey on december 18. Chris wanted to list the thirteen states in chronological order as they continued to join the union. How many combinations are possible

d = rt

d/r  rt/r

d/r = t

Mathematics focuses on geometry, numbers, and form. For such, axioms and definitions are needed to describe the study's subjects. On the basis of those definitions and axioms, properties are proved using logic.

Mathematical logic help you in using a phone, sending a fax, or operating a vehicle and many other things.

Logic models are composed of mathematical constructs. When it comes to supporting its conclusions, mathematics employs logic. The "science" of reasoning is logic. It deals with arguments, hence learning what constitutes a strong argument is a need for becoming a logician.

Logic can also be applied in everyday conversation about non-mathematical subjects. The amount of reasoning required is typically much more for mathematical inquiries than for non-mathematical ones.

Therefore, logic is a technique that mathematicians (as well as other individuals) employ when it comes to supporting their claims. Proof involves logic.

Mathematical logic has a direct impact on our daily life now more than ever. I'm not only referring to the marks pupils receive or the number of required mathematical subjects. I'm referring to using a phone, sending a fax, or operating a vehicle. I'm referring to making a home, purchasing medication for your family, and enjoying music.

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Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

A square has 4 congruent side lengths. This means that each side will be the same length. Therefore, we can set the two lengths equal to each other.

\(S=S\)

\(7x-15=2x\)

Isolating a variable: rearranging an equation so that the variable is by itself

3 Step Solving process:

1. Collect like terms

2. Perform inverse operations

3. Simplify if necessary

\(7x-2x-15=0\)

\(5x=15\)

\(\frac{5x}{5}=\frac{15}{5}\)

\(x=3\)

The value of x =  3

The perimeter can be found by adding all of the side lengths. A square has 4 sides.

a + a + a + a = P

However, we know that a square has congruent sides so we can manipulate this formula:

4a = P - where a is equal to the side length

Using a previous equation we know that a side length is equal to 2x and we know the value of x, to be 3. Therefore, a side length must be 6.

we can now input the value of the side length into the formula.

\(4(6)=P\)

\(24=P\)

The perimeter of the square is 24.

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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The statement is incorrect. Chi-square tests can be conducted for contingency tables of any size, not just limited to 2x2 tables.

Chi-square tests

are statistical tests used to determine the association or independence between two categorical variables. While the

2x2

contingency table is commonly used in chi-square tests, it is not the only size that can be analyzed.

Contingency tables

can have any number of rows and columns, representing different categories or levels of the variables being studied. The chi-square test of independence or goodness-of-fit can be performed on contingency tables of various dimensions, including larger tables.

For example, if we have a contingency table with three rows and four columns, it is still possible to conduct a chi-square test to examine the association between the two categorical variables represented by the table.

The chi-square test calculates the expected frequencies based on the null hypothesis of independence or a specified distribution, compares them with the observed

frequencies

, and determines if there is a significant difference. The test statistic follows a chi-square distribution with degrees of freedom determined by the table's dimensions.

Therefore, it is incorrect to state that chi-square tests can only be conducted for a 2x2 contingency table. These tests are applicable to contingency tables of any size, allowing for the analysis of associations and dependencies between categorical variables with multiple categories.

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Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

\( {n}^{2} \)

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

9514 1404 393

Answer:

  A  √40

Step-by-step explanation:

The given radical expression can be written as ...

  \(\displaystyle 2\sqrt{n+4}=\sqrt{2^2}\cdot\sqrt{n+4}=\sqrt{4(n+4)}=\sqrt{4n+16}\)

The last two versions of this expression tell you two things:

Only one answer choice meets these requirements:

  √40

2/3 of a day = 1 purse

2/3 ×9 = or 2×9/ 3 =

= 18/3 = 18÷3 = 6

It will take 6 days to complete the entire order of purses

Answer:

6 days I do math yes yes

The expression √a²√a² when simplified is (d) a * a

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

√a²√a²

Express as product expression

So, we have the following representation

√a²√a² = √a² *√a²

Evaluate the exponents

This gives

√a²√a² = a * a

Hence, the expression is (d) a * a

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Complete question

Simplify √a²√a²

Which expression is equivalent to √a²√a²

a².aº

aª.a

a³ a

a a

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The function f(x, y) = 6eˣ cos(y) does not have local maximum or minimum values, but it has saddle points at the critical points (x, (2n + 1)π/2), where n is an integer.

To find the local maximum and minimum values and saddle points of the function f(x, y) = 6eˣ cos(y), we need to calculate the partial derivatives and analyze their critical points.

First, let's find the partial derivatives:

∂f/∂x = 6eˣ cos(y)

∂f/∂y = -6eˣ sin(y)

To find the critical points, we set both partial derivatives equal to zero:

6eˣ cos(y) = 0   (1)

-6eˣ sin(y) = 0   (2)

From equation (1), we have:

eˣ cos(y) = 0

Since eˣ is always positive and cos(y) can only be zero at y = (2n + 1)π/2, where n is an integer, we have two possibilities:

1) eˣ = 0

This equation has no real solutions.

2) cos(y) = 0

This occurs when y = (2n + 1)π/2, where n is an integer.

Now let's analyze the critical points:

Case 1: eˣ = 0

There are no real solutions for this case.

Case 2: cos(y) = 0

When cos(y) = 0, we have y = (2n + 1)π/2.

For y = (2n + 1)π/2, the partial derivatives become:

∂f/∂x = 6eˣ cos((2n + 1)π/2) = 6eˣ * 0 = 0

∂f/∂y = -6eˣ sin((2n + 1)π/2) = -6eˣ * (-1)ⁿ

The critical points are given by (x, y) = (x, (2n + 1)π/2), where n is an integer.

To determine the nature of these critical points, we can analyze the signs of the second partial derivatives or use the second derivative test. However, since the second derivative test requires calculating the second partial derivatives, let's proceed with that.

Calculating the second partial derivatives:

∂²f/∂x² = 6eˣ cos(y)

∂²f/∂y² = -6eˣ sin(y)

∂²f/∂x∂y = -6eˣ sin(y)

Now, let's evaluate the second partial derivatives at the critical points:

At (x, (2n + 1)π/2):

∂²f/∂x² = 6eˣ cos((2n + 1)π/2) = 6eˣ * 0 = 0

∂²f/∂y² = -6eˣ sin((2n + 1)π/2) = -6eˣ * (-1)ⁿ

∂²f/∂x∂y = -6eˣ sin((2n + 1)π/2) = -6eˣ * (-1)ⁿ

Now, let's analyze the second partial derivatives at the critical points:

Case 1: n is even

For even values of n, sin((2n + 1)π/2) = 1, and the second partial derivatives become:

∂²f/∂x² = 0

∂²f/∂y² = -6eˣ

∂²f/∂x∂

y = -6eˣ

Case 2: n is odd

For odd values of n, sin((2n + 1)π/2) = -1, and the second partial derivatives become:

∂²f/∂x² = 0

∂²f/∂y² = 6eˣ

∂²f/∂x∂y = -6eˣ

From the analysis of the second partial derivatives, we can see that the function f(x, y) = 6eˣ cos(y) does not have local maximum or minimum values, as the second partial derivatives with respect to x and y are always zero. Therefore, there are no local maximum or minimum points in the function.

However, there are saddle points at the critical points (x, (2n + 1)π/2), where n is an integer. The saddle points occur because the signs of the second partial derivatives change depending on the parity of n.

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Step-by-step explanation:

6+ 8x-8 = 6x +8

-2+8x= 6x+8

-6x+8x=2+8

2x=10/2

x=5

The mistake was that u didn't change 6x in ti-6x. when u transfer numbers over the = thery change if positive to negative and if negative to positive

I hope I helped

Answer:

I think u wrote the question wrong..

The height of the escalator is as calculated using trigonometric ratios.

We know that in a right angled triangle the trigonometric ratios are

tan θ = perpendicular ÷ base

For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .

Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.

Now using the trigonometric ratio of tanθ

tan θ = 2 / 3

Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .

Now, the height is given as h .

∴ tan θ = h / 90

or, 2 / 3 = h / 90

or, h = 60 feet

Therefore the height of the escalator is 60 feet.

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Answer: k > 6

Step-by-step explanation:

Distribute

2k + 8 - 3k < 14

Simplify

-k + 8 < 14

-k < 6

There is a rule that is the coefiicient is negative --> switch the symbol

k > 6

The solution to the inequality 2(k + 4) - 3k < 14 is k > -6.

Here, we have,

To solve the inequality 2(k + 4) - 3k < 14, we can follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses:

2k + 8 - 3k < 14.

Step 2: Combine like terms on the left side of the inequality:

(-k) + 8 < 14.

Step 3: Subtract 8 from both sides of the inequality to isolate the variable:

(-k) < 14 - 8.

Simplifying:

(-k) < 6.

Step 4: Multiply both sides of the inequality by -1 and flip the inequality sign since we are multiplying by a negative number:

(-k) * (-1) > 6 * (-1).

Simplifying:

k > -6.

Therefore, the solution to the inequality 2(k + 4) - 3k < 14 is k > -6.

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Dobereiner could find only three triads; . i.e total of 9 elements only. However the total number of elements were more than that of those encompassed in Dobereiner's Triad. Thus, Dobereiner's could not be classify most of the elements known at that time

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

Answer:

8.778 or 8.8

Step-by-step explanation:

20% of 43.89 is 8.778

math: 43.89*(20/100) = 8.778

The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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The function is \(e^{(x^3)}\) whose Maclaurin expansion is 1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...

The Maclaurin series of a given function is represented as a sum of terms with increasing powers of x and decreasing factorials. The Maclaurin series you provided is:

1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...

This series can be rewritten as:

∑ \((x^{(3n)} )/n!\) for n=0 to infinity.

This expansion resembles the Maclaurin series for \(e^x\), which is:

\(e^x\) = ∑ \(x^n\)/n! for n=0 to infinity.

However, in the given series, the powers of x are in multiples of 3. To adjust the standard exponential function to match the provided series, you can use the substitution \(x^3\) = u:

\(e^u\) = ∑ \(u^n\)/n! for n=0 to infinity.

Now, substitute \(x^3\) back for u:

\(e^{(x^3)}\) = ∑ \((x^{(3n)} )/n!\) for n=0 to infinity.

Therefore, the function whose Maclaurin expansion matches the given series is f(x) = \(e^{(x^3)}\).

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The value of x from the given figure is √30

From the given diagram, we will use the triangular altitude theorem to get the measure of x.

According to the theorem;

10/x  = x/3

Cross multiply

10 * 3 = x²

30 = x²

Take the square root of both sides

x = √30

Hence the value of x from the given figure is √30

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Answer:

x=-1 1/2,x=-1.5

Step-by-step explanation: x=-3/2

Answer:

$22 or 22.07

Step-by-step explanation:

So the exact the answer is 22.07, but if you round it would equal  22 dollars.

Since the sweater was on sale and you would save $12.88!

34.95 - 12.88 = 22.07

a math channel that helped tremendously is math antic, just search decimal subtraction math antics!

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Answer:

Step-by-step explanation:

Given:

Saved amount:

Percent value of saved amount:

Answer:16.3 ft

Step-by-step explanation:

The estimated value of the side length of the square rug is : 8.062 feets

Given that the area of the square rug = 65 ft²

Recall :

Area of a square = s²

Where, s = side length

Therefore,

Area of rug = s²

65 ft² = s²

65 = s²

Square both sides

√65 = s

8.062 = s

The estimated side length of the rug is 8.062 feets.

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The probability of a randomly selected injured wrestler visiting a physical therapist is 56%.

To calculate this probability, let's denote the probability of visiting a physical therapist as P(PT) and the probability of visiting a chiropractor as P(C). We are given that 28% of the wrestlers visit both a physical therapist and a chiropractor, so we can write this as P(PT ∩ C) = 0.28. We are also given that 8% of the wrestlers visit neither, so P(neither) = 0.08.

The probability of visiting either a physical therapist or a chiropractor can be calculated using the principle of inclusion-exclusion:

P(PT ∪ C) = P(PT) + P(C) - P(PT ∩ C)

Since P(PT ∩ C) = 0.28, we have:

P(PT ∪ C) = P(PT) + P(C) - 0.28

We are also given that the probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by 16%, so we can write this as:

P(PT) = P(C) + 0.16

Substituting this into the equation for P(PT ∪ C), we get:

P(PT ∪ C) = P(C) + 0.16 + P(C) - 0.28

P(PT ∪ C) = 2P(C) - 0.12

Since P(PT ∪ C) represents the probability of visiting either a physical therapist or a chiropractor, and we know that 8% visit neither, we can write:

P(PT ∪ C) + P(neither) = 1

Substituting the values, we have:

2P(C) - 0.12 + 0.08 = 1

2P(C) = 1.04

P(C) = 0.52

Now, using P(PT) = P(C) + 0.16, we can find:

P(PT) = 0.52 + 0.16

P(PT) = 0.68

Therefore, the probability of a randomly selected injured wrestler visiting a physical therapist is 0.68 or 68%.

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Answer:

(7^2)^2

Step-by-step explanation:

(7^-2)*(7^6)=7^-2+6

......since the base 7 is the same, when u multiply them, you should add the exponents and keep 7 as it is. That will be 7^4, which in equivalent to ans D(7^2)^2

Answer:

answer 2(35 divided by the difference of 12 and 5

Answer:

2 and3

Step-by-step explanation: