prove that 2a³-3ab-b³ is divisible by 2a-b​

Answer:

Step-by-step explanation:

70+5+0.8+0.03

Answer:

\(\huge\boxed{(f-g)(x)=3x^2+6}\)

Step-by-step explanation:

\((f-g)(x)=f(x)(x)\\\\\text{substitute}\ f(x)=4x^2+1\ \text{and}\ g(x)=x^2-5\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)=4x^2+1-x^2+5\\\\\text{combine like terms}\\\\(f-g)(x)=(4x^2-x^2)+(1+5)=3x^2+6\)

Answer: 5x^2 - 4

a p e x

Step-by-step explanation: Once you take the parenthesis away

Answer:

-10

Step-by-step explanation:

First, evaluate the terms with exponents.

7-3²·9+4³

With that, you get:

7-9·9+64

Multiply -9×9

7-81+64

Then, add or substract from left to right.

Your final answer is -10.

\(\textsf{Hey there!}\)

\(\mathsf{Equation: 6 \times 7- 3^2 \times9+4^3}\)

\(\mathsf{3^2 = 3\times3=9}\)

\(\mathsf{4^3= 4\times4\times4=16\times4 = 64}\)

\(\mathsf{6\times7 = 42}\)

\(\mathsf{9\times9= 81}\)

\(\mathsf{New\ equation: 42 - 81 + 64}\)

\(\mathsf{42 -81= -39}\)

\(\textsf{New equation: -39 + 64}\)

\(\mathsf{SOLVE\ ABOVE\ \uparrow\ \& you\ will\ have\ your\ answer\ to\ this\ problem}\)

\(\mathsf{-39 + 64 = 25}\)

\(\boxed{\textsf{Thus, your answer is: \boxed{\mathsf{\bf{25}}}}}\checkmark\)

\(\textsf{Good luck on your assignment and enjoy day!}\)

~\(\frak{LoveYourselfFirst:)}\)

Answer:

4 5/6 or 29/6

Step-by-step explanation:

Conversion a mixed number 8 1/

4

to a improper fraction: 8 1/4 = 8 1/

4

= 8 · 4 + 1/

4

= 32 + 1/

4

= 33/

4

To find a new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/

4

= 32/

4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 5/

12

to a improper fraction: 3 5/12 = 3 5/

12

= 3 · 12 + 5/

12

= 36 + 5/

12

= 41/

12

To find a new numerator:

a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/

12

= 36/

12

b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41

c) Write a previous answer (new numerator 41) over the denominator 12.

Three and five twelfths is forty-one twelfths

Subtract: 33/

4

- 41/

12

= 33 · 3/

4 · 3

- 41/

12

= 99/

12

- 41/

12

= 99 - 41/

12

= 58/

12

= 2 · 29/

2 · 6

= 29/

6

Answer:

There could be a total of 63 vehicles, 35 cars and 28 trucks

Answer:

28 trucks

35 cars

63 total cars and trucks

Step-by-step explanation:

trucks : cars

4 : 5

Use a proportion.

x/4 = 35/5

x/4 = 7

x = 28

28 trucks

35 cars

63 total cars and trucks

The correct answer is A. Animal is a class with a constructor that takes one parameter of the String type, Mammal is its subclass that has no constructors defined.

In Java, when you create an object using the "new" keyword, the constructor of that object's class is called. In the given statement, we are creating an object of the Animal class and initializing it with a Mammal object that has the name "Elephant".

Option A is the correct answer because it states that the Animal class has a constructor that takes a String parameter and Mammal is its subclass that has no constructors defined. Therefore, the Animal class constructor will be called and it will accept the "Elephant" parameter without any errors.

Option B is incorrect because it states that Mammal is a class with a constructor that takes a String parameter, and Animal is its subclass. This is not possible as a subclass cannot have a constructor that its superclass does not have.

Option C is incorrect because it states that an Animal is an interface, and Mammal implements Animal. An interface does not have a constructor, so this option is not possible.

Option D is incorrect because it states that Animal has a public static data field String Mammal. This does not make sense as a data field is not the same as a constructor.

In summary, the statement Animal a = new Mammal("Elephant") will compile with no errors if the Animal class has a constructor that takes a String parameter, and Mammal is its subclass that has no constructors defined. Therefore the correct option is A

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Answer:

the crab can travel 22 miles in 11 hours

Step-by-step explanation:

12miles=6hours  divided by six =

2miles=1hour multiply 1hour to 11hours

11hours=22miles

mark me as brainliest please

Step-by-step explanation:

ok

5y -29 and 3y +19 are vertical angles so they are equal

sweet then equal and solve

5Y -29= 3y +19

2y = 48

y = 24

substitute in if needed.

then for 4x+5 and 3X +7

4X + 5 IS CORRESPONDING TO <3. asked <3 is supplementary to 3x+7 so:

4x+5 + 3x + 7 = 180

7x = 168

x = 24

<6 is corresponding to 3x +7 so they are equal

<6 = 3(24) +7 = 79

The typical concentration of hydrogen ions in human saliva is of H* = 10^(-7), using the logarithmic equation.

The logarithmic equation in the context of this problem is presented as follows:

pH = -log(H*).

In which the parameter H* is the concentration of hydrogen ions of the substance.

For the human saliva, the pH has a numeric value as presented as follows:

pH = 7.

Hence the concentration is calculated as follows:

7 = -log(H*).

log(H*) = -7.

The power of 10 and the logarithm are inverse functions, hence the power of 10 can be inserted into both sides of the equality to isolate the concentration variable H*.

10^(log(H*)) = 10^(-7)

H* = 10^(-7).

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Answer: a = 12, b = 2, c = 11

Step-by-step explanation:

Using exponent rules we can distribute the exponent of 3 to the xyz.

This results in the numerator now being. \(x^{5*3}+y^{1*3}+z^{4*3}\\\) This can be simplified to, \(x^{15}y^{3}z^{12}\\\).

Now divide the numerator by the denominator subtracting the exponents.

Which equals, \(x^{12}y^{2}z^{11}\)

So a = 12

b = 2

and

c = 11

The values of \(a, \ b,\ c\) are  \(12,\ 2,\ 11\) .

Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.

We have,

\(\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c\)

Now simplify the above given equation;

\(\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c\)

\(\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c\)

Now, Using the exponent rule;

\(\frac{a^n}{a^m} = a^{n-m}\)

So,

\((x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c\)

\((x^{12}y^{2}z^{11})=x^ay^bz^c\)

Now,

As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;

⇒    \(x^{12}=x^a\)

       \(a=12\),

And, \(y^2=y^b\)

         \(b=2\)

And, \(z^{11}=z^c\)

         \(c=11\)

So, the values of \(a, \ b,\ c\) are \(12,\ 2,\ 11\) which are find out using the  exponent rule.

Hence, we can say that the values of \(a, \ b,\ c\) are \(12,\ 2,\ 11\) .

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Answer: 1/59049

Step-by-step explanation:

Since the terms are being divided, subtract the exponents --> 2-7 = -5

9^2/9^7

= 1/9^5 or

= 1/59049

Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

80  unit²  is the area of the polygon in square units .

What do you mean by polygon?

A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). In order to create a closed figure, at least three line segments must be connected end to end.

The area of the polygon is required.

The area of the polygon is D. 80 square units

For triangle BCD

b = Base = 4-2 = 2 units

h = Height = 4 units

Area

    1/2bh

 = 1/2 * 2 * 4

= 4 unit²

For triangle DEF

b = Base = 2-(-1) = 3 units

h = Height = 4 units

Area

   1/2bh

= 1/2 * 3 * 4

=  6 unit²

For trapezoid ABFG

a = 4-(-1) = 5.5 units

b = 4-(-8) = 12 units

h = 8 units

Area

 1/2(a + b)h

= 1/2(5.5 + 12) * 8

 = 70 unit²

Total area is

 4 + 6 + 70  = 80  unit²

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The common chord has a length equal to 6 centimeters.

In this problem we find the case of two circles of different radii (r₁ = 5 cm, r₂ = 3 cm), whose distance between centres is equal to 4 centimeters. We are required to determine the length of the chord common to the two circles.

First, determine one angle of a triangle by law of cosine:

cos θ = [(5 in)² - (3 in)² - (4 in)²] / [- 2 · (3 in) · (4 in)]

θ ≈ 90°

Second, determine the length of the common chord:

x = 2 · (3 cm)

x = 6 cm

The length of the common chord is equal to 6 centimeters.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Psychologists can expect approximately 2/3 of the students to have depression scores that fall between the transformed z-scores of -1 and 1, assuming depression scores among students are normally distributed. These z-scores represent a range within one standard deviation below and above the mean of the distribution.

If depression scores among students are normally distributed, psychologists can expect approximately 2/3 of the students to have depression scores that fall between the transformed z-scores of -1 and 1.

In a standard normal distribution, 68% of the data falls within one standard deviation (z-score) of the mean. Since the standard normal distribution has a mean of 0 and a standard deviation of 1, this means that approximately 34% of the data falls below -1 (z-score less than -1) and approximately 34% falls above 1 (z-score greater than 1).

To calculate the range of transformed z-scores that include approximately 2/3 (66.6%) of the data, we need to find the range that covers the central 66.6% of the distribution.

This would correspond to approximately -1 standard deviation (z-score) below the mean (-1) and approximately 1 standard deviation above the mean (1). Thus, psychologists can expect approximately 2/3 of the students to have depression scores falling between z-scores of -1 and 1.

Therefore, the transformed z-scores that encompass approximately 2/3 of the students' depression scores are -1 and 1.

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Answer:

when u have a proper balance of diet also

Answer:

Exercise is a benefit when you are not eating very healthy and you may think your fat. It's good to exercise because then you can get more fit and fell better about your body and what you eat.

Step-by-step explanation:

Answer:

Q1. A

Q2.C

Q3.C

Q4.D

Q5.C

Q6.D

Q7.C

Q8.D

Q9. A

Q10.D

Q11.B

Q12.B

Q13.A

Q14.A

Q15.C

Q16.C

Q17.B

Q18.D

Q19.A

Q20.B

Q21. A

Q22.B

Q23.D

Q24.C

Q25. A

Step-by-step explanation:

The speed of current and average speed of paddling is 3 and 7 respectively.

Let p represents paddling speed of kayack guide  and c represents speed of current.

If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.

Since paddling downstream took  2 hours so distance covered 2*(p + c)

which is equal to 20 miles.

2*(p + c) =20.

p + c = 10. -----i

Paddling upstream took 4 hours so distance covered 4*(p-c).

which is equal to 16 miles.

4*(p-c) = 16.

p - c = 4.  -------ii

adding both equation c will be cancelled. 2*p=14 p =7.

put value of p in equation i.

7 + c = 10  ,c = 3.

So the speed of current and average speed of paddling is 3 and 7 respectively.

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The number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month.

Let x be the number of months in which Rita has a budget to buy a camera.

The linear equation in one variable can be framed as follows:

(64.33 - 34.50)x = 249.99

29.83x = 249.99

x = 8.38 = 8.5

Thus, the number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.

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Answer:

Let me know if you'd like me to clarify something. Good luck

Answer:

10

Step-by-step explanation:

I calculated and it's 10 I'm in car so I can't give the whole explanation

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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Saltine Chemical Inc. plans to construct a chemical plant in Nassau, Bahamas, investing $0.05 billion to produce iodized salt and industrial salts, creating over 200 local jobs and contributing to the region's economic growth.

the plant and is projected to create over 200 job opportunities for the local community. The decision to build the chemical plant in Nassau stems from the region's strategic location and its abundant natural resources, which make it an ideal hub for salt production.

Saltine Chemical Inc. aims to leverage advanced technology and sustainable practices in the construction and operation of the plant. Stringent environmental regulations will be followed to ensure minimal impact on the delicate ecosystem of the Bahamas. The company also plans to collaborate with local stakeholders, including government bodies and community organizations, to foster a mutually beneficial relationship and contribute to the socio-economic development of Nassau.

The production facility will not only cater to the domestic market but also target international markets, exporting iodized salt and other industrial salts. This expansion is anticipated to boost the local economy, attract foreign investment, and enhance the region's reputation as a key player in the chemical industry.

Through its responsible approach to production and commitment to quality, Saltine Chemical Inc. aims to become a trusted supplier of iodized salt and other industrial salts, meeting the diverse needs of customers while upholding the highest standards of safety and sustainability.

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The correct Question is:

Saltine Chemical Inc. plan to build a chemical plant in Nassau,

Bahamas, for the production of Iodized Salt and other industrial

based salts. Saltine will spend SO.05 billion in constructing the

plant at the onset and S835000 in annual maintenance and

operating cost for the subsequent years of operation. A complete

overhaul of the plant will be carrying out at the end of year 6

and 8 at an extra cost ofS148200 and 132005 respectively.

Saltine intends to run the project for 12 years before they sell the

plant to an indigenous chemical company at a salvage price

calculated based on the following equation:

A. Talia can use 1 and 3/4 cup strawberries to double the recipe. B. Talia can use 1 and 1/3 cup yogurt to make 3 servings. D. Talia can use 2 cups orange juice to make 4 servings.

In statistics, a proportion is a fraction or a percentage that reflects the proportion of a population's or sample's members who share a particular attribute to the population's or sample's overall size. It is a kind of ratio where the denominator is the entire population or sample size and the numerator is the number of people who possess a specific trait or attribute.

From the given ingredients and the serving size we can see that the correct statement is:

A. Talia can use 1 and 3/4 cup strawberries to double the recipe.

B. Talia can use 1 and 1/3 cup yogurt to make 3 servings.

D. Talia can use 2 cups orange juice to make 4 servings.

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The complete question is:

A relation ~ on R' is defined as a relation where (a,b) ~ (c,d) if and only if a3+b3=c3+d3. This relation is transitive but not symmetric.

Transitivity of the relation states that if (a, b) ~ (c,d) and (c, d) ~ (e, f) then (a, b) ~ (e, f). This means that if a3+b3=c3+d3 and c3+d3=e3+f3 then a3+b3=e3+f3, thus, the relation is transitive.

Symmetry of the relation means that if (a, b) ~ (c, d) then (c, d) ~ (a, b). This, however, does not hold in this relation since it is possible for a3+b3=c3+d3 and yet c3+d3≠a3+b3. For example, (1,2) ~ (8,4), this is true since 13+23=83+43, however, this does not mean that (8,4) ~ (1,2) since 83+43≠13+23. Therefore, this relation is not symmetric.

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Answer:

Step-by-step explanation:

t = 2h-8  

since you didn't put in the equations,  just put in what ever variable is where t is at and any variable other than t for the h   :)

Answer:

Please put equations, so I can able to give you ans

Answer:

  the rule for repeated denominator factors applies

Step-by-step explanation:

You want to know why is there not a separate rule in the partial fraction decomposition key idea for what to do if you have a cubic function in the denominator of a rational function.

The rule for repeated denominator factors is that there is a fraction in the partial fraction sum for each power of the denominator factor up to its greatest power.

  A(x)/B(x)^n = a1(x)/B(x) + a2(x)/B(x)^2 + a3(x)/B(x)^3 + ... +an(x)/B(x)^n

This rule applies to cubic factors as well as factors of any other power.

__

Additional comment

The attached calculator display shows an example of a repeated factor.

<95141404393>

There is no separate rule in the partial fraction decomposition key idea for what to do if you have a cubic function in the denominator of a rational function because the general method can be applied to any rational function regardless of the degree of the denominator.

Partial fraction decomposition is the process of decomposing a rational function to a sum of simpler fractions. It is a technique used in the integration and simplification of algebraic expressions. The partial fraction decomposition key idea is a method for separating a rational function into its parts so that it can be more easily manipulated.

1: Factorize the denominator of the rational function into linear factors.

2: Write the partial fraction decomposition of the function as a sum of simpler fractions, with each term having a denominator that matches the factors.

3: Determine the unknown coefficients by equating the coefficients of like terms in the original function and its partial fraction decomposition.

The degree of the denominator does not affect the general method of partial fraction decomposition.

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The monthly take-home pay is $2240.83.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate the monthly take-home pay, we need to first find the annual take-home pay and then divide by 12 (since there are 12 months in a year).

We are given that the take-home pay is $1034.65 every two weeks, which means the total take-home pay for a year can be calculated as follows:

annual take-home pay = 1034.65 * 26 = 26889.9

Next, we divide the annual take-home pay by 12 to get the monthly take-home pay:

monthly take-home pay = 26889.9 / 12 = 2240.825

Rounding this to the nearest cent, we get:

monthly take-home pay = $2240.83

Therefore, the monthly take-home pay is $2240.83.

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The length of an alpha helix with 31 amino acids is approximately 50.6 angstroms.

An alpha helix is a common secondary structure in proteins where the polypeptide chain forms a tightly coiled helical structure. The length of an alpha helix can be calculated using the formula:

Length = (3.6 * number of amino acids)^(1/2)

In this case, the number of amino acids is 31. Plugging this value into the formula, we get:

Length = (3.6 * 31)^(1/2)

      = (111.6)^(1/2)

      ≈ 10.56

However, this value is in units of turns, where one turn is equal to 3.6 amino acids. To convert it to length, we need to multiply by the pitch of the helix. The pitch is the vertical distance between one complete turn of the helix.

The average pitch of an alpha helix is approximately 5.4 angstroms per turn. Multiplying the number of turns by the pitch, we get:

Length = 10.56 * 5.4

      ≈ 57.02

Therefore, the length of an alpha helix with 31 amino acids is approximately 57.02 angstroms.

The length of an alpha helix with 31 amino acids is approximately 57.02 angstroms. This calculation takes into account the formula for calculating the length of an alpha helix and the average pitch of the helix. It is important to note that this is an approximation as the actual length can vary depending on factors such as the specific amino acid sequence and the presence of any structural constraints within the protein.

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