What is the slope of y = 5x – 1?

The equation is solved and the distributive property is used

Given data ,

a)

If you use the distributive property to solve the equation first, either addition or subtraction will need to be done last, depending on the equation. This is so that you may isolate the variable on one side of the equation or combine like terms after applying the distributive principle, which usually requires addition or subtraction as the last step.

b)

Instead, if you divide first to answer the problem, you would need to apply multiplication as the last operation. This is because, in order to "undo" the division operation and find the variable, you would need to multiply by the reciprocal of the value by which you had divided to isolate the variable. As the inverse operation of division, multiplication would be utilized as the last step in the equation's solution.

Hence , the equations are solved

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Let's solve each of the given second-order differential equations one by one.

5. y'' - te^(-y) = 0

Unfortunately, the given differential equation does not have a standard form that can be easily solved using common methods. It is a nonlinear second-order differential equation. Solving this equation analytically may not be possible or may require advanced mathematical techniques.

6. y''y - y(y + 2) = 0

We can rewrite the equation as:

y''y - y^2 - 2y = 0

This is a separable differential equation. We can rearrange it as:

y''/y = y + 2

Now, integrating both sides with respect to y, we get:

ln|y'| = (1/2)y^2 + 2y + C1

Taking the exponential of both sides, we have:

|y'| = e^((1/2)y^2 + 2y + C1)

Taking the absolute value of y', we can eliminate the absolute value sign. Then we can separate variables and solve for y'. However, since we do not have initial conditions or boundary conditions, we cannot find the exact solution.

7. y^y = 1

This is a nonlinear equation, and solving it analytically may not be straightforward. One possible approach is to take the natural logarithm of both sides:

ln(y^y) = ln(1)

Using the property of logarithms, we can simplify it as:

y ln(y) = 0

This equation has two solutions:

y = 0

ln(y) = 0, which implies y = 1

Therefore, the solutions to the equation are y = 0 and y = 1.

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hope it helps

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A stack of 35 cups would have a height of 30 units.

To determine the height of a stack of 35 cups using the equation S(n) = 0.5n + 12.5, we can substitute n = 35 into the equation and evaluate the function.

Given that S(n) represents the height of the stack and n represents the number of cups in the stack, we want to find S(35), which represents the height of the stack when there are 35 cups.

Substituting n = 35 into the equation S(n) = 0.5n + 12.5, we have:

S(35) = 0.5(35) + 12.5

Now we can perform the calculations:

S(35) = 17.5 + 12.5

S(35) = 30

Therefore, a stack of 35 cups would have a height of 30 units.

In the given equation S(n) = 0.5n + 12.5, the term 0.5n represents the contribution to the stack's height from the cups themselves, and 12.5 represents a constant height added to account for the base or any other additional height.

By substituting n = 35 into the equation, we calculate the height of the stack when there are 35 cups. In this case, the height is determined to be 30 units.

Understanding and utilizing function notation allows us to express mathematical relationships and evaluate them for specific values. It provides a concise and standardized way of representing mathematical functions and their corresponding outputs.

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Answer: x = 6

Step-by-step explanation:

Answer: VA: x = {-5, 5), HA: y = 0, Zeros: x = 0

Step-by-step explanation:

\(f(x) = \dfrac{5x}{x^2-25}\)

Vertical asymptotes: The denominator cannot equal zero.

x² - 25 = 0  

(x - 5)(x + 5) = 0

x = 5, x = -5

Horizontal Asymptote: Let m represent degree of numerator and n represent the degree of the denominator.

For the given equation, m = 1 and n = 2 so we use option 3 --> y = 0

Zeros: Set the equation equal to zero and solve for x.

\(0=\dfrac{5x}{x^2-25}\)

Multiply both sides by x²- 25   -->    0 = 5x

Divide both sides by 5       -->          0 = x

Using function concepts, it is found that:

The function is given by:

\(f(x) = \frac{5x}{x^2 - 25}\)

Applying the subtraction of perfect squares, the function will be given by:

\(f(x) = \frac{5x}{(x - 5)(x + 5)}\)

The zero is the value of x for which:

\(f(x) = 0\)

In a fraction, it is when the numerator is zero, thus:

\(5x = 0\)

\(x = \frac{0}{5}\)

\(x = 0\)

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, thus:

\((x - 5)(x + 5) = 0\)

\(x = \pm 5\)

The horizontal asymptote is:

\(y = \lim_{x \rightarrow \infty} f(x)\)

Hence:

\(y = \lim_{x \rightarrow \infty} \frac{5x}{x^2 - 25} = y = \lim_{x \rightarrow \infty} \frac{5x}{x^2} = y = \lim_{x \rightarrow \infty} \frac{5}{x} = 0\)

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The crude oil is likely to be paraffinic. Paraffinic crude oils are characterized by having a high API°, low Watson characterization factor, and low refractive index. They also tend to have a high surface tension.

Specific gravity at 60 °F: 0.88

API° at 60 °F: 28

Watson characterization factor: 1.014

Refractive index: 1.44

Surface tension: 20 dyne/cm

Paraffinic, naphthenic, or aromatic: Paraffinic

Specific gravity at 60 °F the specific gravity of a liquid is its density relative to the density of water. The specific gravity of crude oil is typically between 0.8 and 1.0. A specific gravity of 0.88 means that the crude oil is 88% as dense as water.

API° at 60 °F: The API°, or American Petroleum Institute gravity, is a measure of the lightness or darkness of crude oil. A higher API° indicates a lighter crude oil. A crude oil with an API° of 28 is considered to be a medium-heavy crude oil.

Watson characterization factor the Watson characterization factor is a measure of the aromaticity of crude oil. A higher Watson characterization factor indicates a more aromatic crude oil. A crude oil with a Watson characterization factor of 1.014 is considered to be a paraffinic crude oil.

Refractive index the refractive index of a liquid is a measure of how much light is bent when it passes through the liquid. The refractive index of crude oil is typically between 1.4 and 1.5. A refractive index of 1.44 indicates that the crude oil is slightly more refractive than water.

Surface tension the surface tension of a liquid is a measure of the force that acts at the surface of the liquid, tending to minimize the surface area. The surface tension of crude oil is typically between 20 and 30 dyne/cm. A surface tension of 20 dyne/cm indicates that the crude oil has a relatively high surface tension.

Based on the estimated values, the crude oil is likely to be paraffinic. Paraffinic crude oils are characterized by having a high API°, low Watson characterization factor, and low refractive index. They also tend to have a high surface tension.

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The answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

534 divided by 6

\(\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ 6\overline{|\smallspace534}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace5\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace5\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

The A = 48

B = 54

C = 54

After applying the concept of arithmetic operation.

Thus, the answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

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Answer:

Sh 4800

Step-by-step explanation:

5192 - 5000 = 192 ( which is the total commission)

4% = 192

100%=? ( so we get the total sales)

100*192/4 = 4800 ( which is the total sales )

To estimate the value of \(sin^{(-4)}\) using linear approximation, we can choose a small value of sin(x) as our approximation and then substitute it into the expression.

By choosing a small value for sin(x), we can minimize the error in our estimation.

Let's consider the function f(x) = \(sin^{(-4)}(x)\).

To estimate the value of \(sin^{(-4)}\), we can use the linear approximation method. This involves choosing a value of a that produces a small error.

Since sin(x) is bounded between -1 and 1, we can choose a small value such as a = 0 as our approximation for sin(x). Substituting this value into the expression, we have f(a) = \(sin^{(-4)}(0)\).

When x is close to 0, the value of sin(x) is also close to 0. As sin(x) approaches 0, \(sin^{(-4)}(x)\) approaches positive infinity. Therefore, we can estimate \(sin^{(-4)}\)as a large positive number.

In summary, the estimated value of \(sin^{(-4)}\) using linear approximation with a small value of a is a large positive number, approaching infinity.

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Answer:

\(\text{A. 8}i\)

Step-by-step explanation:

The math constant \(i\) represents \(\sqrt{-1}\). Because \(\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\), we can rewrite the equation given the problem as \(\sqrt{-64}=\sqrt{64}\cdot \sqrt{-1}=\boxed{8i}\).

Option C  "Each shirt cost $15.75" could be correct as it represents the cost per shirt before adding the sales tax.

The expression given is 1.065(15.75x-10), where x represents the number of shirts. The expression has two parts: 15.75x, which represents the cost of x number of shirts before sales tax, and -10, which represents a discount of $10 applied to the total cost. Multiplying this expression by 1.065 adds the 6.5% sales tax to the cost.

Option A is not correct as the expression has a discount of $10 applied to the total cost, not per shirt. Option B is partially correct as it represents the percentage of the sales tax, but not the cost per shirt. Option D and E are not relevant as they are not related to the given expression.

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Complete Question

The expression below represents the cost, in dollars, for Shaim to purchase shirts.

1.065(15.75x-10)

If represents the number of shirts, which of the following statement(s) could be correct? Select all that apply. Juqtuo Sygn

A. Each shirt costs $10.

B. The sales tax is 6.5%.

C. Each shirt cost $15.75.

D. The cost of 2 portraits with tax is $33.55

E. The cost of 2 portraits is $22.90 with the discount.

The expression 1.065(15.75x - 10) represents the cost, in dollars, for Shaim to purchase shirts.

We can use this information to determine which of the following statement(s) could be correct:

A. Each shirt costs $10.

This statement is incorrect because $10 is subtracted from 15.75x, so the cost per shirt is actually greater than $10.

B. The sales tax is 6.5%.

This statement is correct because the expression includes a 6.5% sales tax, which is represented by the factor of 1.065.

C. Each shirt cost $15.75.

This statement is incorrect because the expression includes a discount of $10, so the actual cost per shirt is less than $15.75.

D. The cost of 2 portraits with tax is $33.55.

This statement is incorrect because the expression represents the cost of shirts, not portraits.

E. The cost of 2 portraits is $22.90 with the discount.

This statement is incorrect because the expression represents the cost of shirts, not portraits.

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Answer:

21/20

Step-by-step explanation:

The height of the tree opposite to the river is (20√3)/3 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

The width of the river here is adjacent and the height of the tree is opposite.

We know, tan = opposite/adjacent.

Therefore, tan30° = opposite/20.

1/√3 = opposite/20.

opposite = 20/√3.

opposite = (20√3)/3 feet.

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Hence, the sum of the fixed expenses ($75 + $25 = $100) and the expressions variable charges ($15 per person) would equal the total cost for catering.

Mathematically speaking, you can multiply, divide, add, or subtract. This is how an expression is constructed: Math operation, expression, and numerical value Functions, parameters, and numbers make up a mathematical expression. It is feasible to use opposing words and phrases. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical operation between them. As an instance, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

Finding the slope of the line will allow you to compute the rate of change for Smokey Joe's catering. The slope in this instance is $15, which indicates that the price will rise by $15 for each extra person served. The variable cost that Smokey Joe's incurs every person served is represented by this rate of change.

If Smokey Joe's charges a $25 delivery fee, this will be an extra set expense that they will pay no matter how many customers they serve. Hence, the sum of the fixed expenses ($75 + $25 = $100) and the variable charges ($15 per person) would equal the total cost for catering.

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Answer:

It should be C because of the given information is just (any) x 2

Step-by-step explanation:

Answer:

  angles 1, 3, 6, 8 = 142°

  angles 2, 4, 5, 7 = 38°

Step-by-step explanation:

Vertical angles and corresponding angles are congruent, as are alternate interior angles. Hence the angles 1, 3, 6, 8 are all congruent:

  ∠1 = ∠3 = ∠6 = ∠8 = 142°

Each of the remaining angles forms a linear pair with one or another of those, so is its supplement:

  ∠2 = ∠4 = ∠5 = ∠7 = 180° -142° = 38°

For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

The required probability for the three dices to be rolled for the given condition is equal to ,

probability 0.579 when X=0,

probability 0.347 when X =1

probability 0.069 for X = 2

probability 0.005 when X = 3.

The random variable X represents the number of times the number '2' is rolled when three dices are rolled.

X represents the values from 0 (when no '2' is rolled) to 3 (when all three dices show '2'.

Probabilities for each case, use the binomial probability formula, we, have,

P(X = a) =ⁿCₐ × pᵃ × (1-p)ⁿ⁻ᵃ

n = Number of trials (in this case, n = 3)

a = Number of successes (here, 'a' ranges from 0 to 3).

p = Probability of success (rolling a '2' on a single die)

p = 1/6

Required probabilities for each possibility is,

P(X = 0) = (³C₀) × (1/6)^0 × (5/6)^3

             = 125/216

             ≈ 0.579

P(X = 1) = ((³C₁) × (1/6)¹ × (5/6)²  

            = 75/216

            ≈ 0.347

P(X = 2) = ³C₂× (1/6)²× (5/6)¹  

             = 15/216

             ≈ 0.069

P(X = 3) = (³C₃) × (1/6)³× (5/6)⁰

             = 1/216

             = 0.004629

             ≈ 0.005

Therefore, the random variable X for the number of times 2 is rolled for three dices are rolled represents probability distribution,

X = 0 with probability 0.579

X = 1 with probability 0.347

X = 2 with probability 0.069

X = 3 with probability 0.005

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Answer:

-9

Step-by-step explanation:

hope this helpshchxjxjx

Answer:x=-9

Step-by-step explanation:

The value of (f- g)(x) is  2x - 26.

This is a question of subtraction of functions.

Subtraction of functions

The subtraction of function involves the creation of a new function through the addition of two other functions.

Subtraction of one real-valued function from another.

Let h: X → and p: X → be any two real functions, where X ⊆ Real numbers. Then, we can define h - p: X → by h - p x = h(x) – p(x), for all x ∈ X.

Given that:-

f(x) = 2x + 1

g(x) = 27

We have to find the value of (f- g)(x)

We know that,

(f- g)(x) = f(x) - g(x)

Hence, we can write,

(f- g)(x) = 2x + 1 - 27 = 2x - 26

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Answer:

3

Step-by-step explanation:

Multiply the dividend fraction numerator with the divisor fraction denominator to get the numerator

Multiply the dividend fraction denominator with the divisor fraction numerator to get the denominator = 36/12

Reduce the fraction by finding the greatest common factor. The greatest common factor of 36 and 12 is 12

Divide the numerator and denominator by the greatest common factor (12)

= 3/1

Convert to a mixed fraction by finding the whole number and remainder

= 3

Answer:

3

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

It will give you 3.

Hope this helps:)

The appropriate domain and the range are x > 0 and y > 0, respectively and the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

The function is given as:

xy = 20

The value of x and y cannot be negative and they cannot be 0.

This means that the domain and the range are x > 0 and y > 0, respectively

See attachment for the graph of xy = 20

We have:

Distance = 20 miles

Time = 8 hours

The speed is calculated as;

Speed = Distance/Time

This gives

Speed = 20/8

Evaluate

Speed = 2.5 miles per hour

Hence, the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

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Answer:

6 and 19 which is bridgets and 114 and 3 which you know is Coles

Answer:

bridget in week 13 will have 117 books and Cole in week 3 will also have 117 books

Step-by-step explanation:

find total books in a week

Bridget =6+3=9

cole= 38+1=39

find lcm

9={3×3}

39={3×13}

lcm={3×3×13}

=117

for Bridget

117÷9 =13 weeks

for cole

117÷39

3 weeks

Answer:

Paul is correct

Step-by-step explanation:

You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.

I know I'm late but can I still get that brainliest

Answer:

  106°

Step-by-step explanation:

The intercepted arc is double the measure of the inscribed angle intercepting it. Each of the angles V and Y is 53°, so arc WX is 2×53° = 106°.