What is the y-intercept of the exponential function?

Answer:

3x^2+17x+20

Step-by-step explanation:

Answer: x = y

y = -4

y = 3x + 2

x = 8

Simplify: (-3a2b5)2

Find (x - 4)2`Find the product: (3x + 5)(4x - 1)

Use FOIL:

F: 3x*4x=12x^2

O: 3x*-1 = -3x

I: 5*4x = 20x

L: 5*-1 = -5

Combine these products to get:

12x^2+17x-5

------------------------

Which of the following is the equation of a vertical line?

x = y

y = -4

y = 3x + 2

x = 8

Answer x=8 ; The graph is the set of points where x=8.

-----------------------

Simplify: (-3a2b5)2

=(-3a^2b^5)(-3a2b^5)

=9a^4b^10

------------

Find (x - 4)^2

=(x-4)(x-4)

Use FOIL to get:

x^2-4x-4x+16

=x^2-8x+16

Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)

Answer:

You always have to us PEMDAS

Step-by-step explanation:

P:parentheses

E:Exponet

M: Mutiply

D: Divide

A: Add

S: Subtract

Answer:

14

Step-by-step explanation:

if you subtract 136-80 = 56 then if you divide 56 by 4 because there are 4 little squares you would get 14 = 14 would be the answer and the value of each little square hope this helped and have a great day (((:

Spanish explanation:

si restas 136-80 = 56 entonces si divides 56 entre 4 porque hay 4 pequeños cuadrados obtendrás 14 = 14 sería la respuesta y el valor de cada pequeño cuadrado espero que esto te ayude y que tengas un gran día (((:

Answer: 0 = 0 and/or Infinitely Many Solutions

Step-by-step explanation:

When solving this equation we want to find x then substitute the answer we find for x to see if both sides are equal to the same number.

So once we find x replace x with that number: x = 8

Rewrite equation: \(-24+3(8)=16-2(8)\)

So we solve          \(-24+24=16-16\\0=0\)      

Since both sides are equal the answer would be Infinitely Many Solutions

A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

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Answer:

its C

Step-by-step explanation:

Answer:

The equation is: 5(x+9) = 55

This basically means that five times the quantity x+9 is equal to 55.

Let me know if this helps!

the length of the hypotenuse for a non-right triangle can be find by using the formula c = √(a² + b² - 2ab*cos(C))

To find the hypotenuse of a non-right triangle, you need to use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is as follows:

c² = a² + b² - 2ab*cos(C)

Where:

- c is the length of the hypotenuse

- a and b are the lengths of the other two sides

- C is the angle opposite to side c

To find the hypotenuse, you need to know the lengths of the other two sides and the measure of the angle opposite the hypotenuse. Once you have these values, plug them into the formula and solve for c by taking the square root of both sides.

c = √(a² + b² - 2ab*cos(C))

By using this formula, you can find the length of the hypotenuse for a non-right triangle.

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To find the hypotenuse of a non-right triangle, you can use the Law of Cosines. The formula for the Law of Cosines is c^2 = a^2 + b^2 - 2ab * cos(C), where c is the length of the hypotenuse, a and b are the lengths of the other two sides, and C is the angle opposite the hypotenuse.

To find the hypotenuse of a non-right triangle, we can use the Law of Cosines. The Law of Cosines states that in any triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides multiplied by the cosine of the included angle.

The formula for the Law of Cosines is:

c^2 = a^2 + b^2 - 2ab * cos(C)

Where:

To find the hypotenuse, we need to know the lengths of the other two sides and the measure of the angle opposite the hypotenuse. Once we have these values, we can substitute them into the formula and solve for c.

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Given function is f(x) = sin x.We need to find f'(x) using logarithmic differentiation of the expression(x² − 2)(x+5)³.

Using logarithmic differentiation method, we follow these steps:Step 1: Take natural logarithm both sides of the expression we want to differentiate, i.e., (x² − 2)(x+5)³.Step 2: Differentiate the logarithmic equation w.r.t x and simplify it to obtain the expression for f'(x).Now, let's solve the given problem using the above method.Main answer:Let's begin with the logarithmic differentiation of (x² − 2)(x+5)³,

Step 1: Take natural logarithm of both sides of the expression we want to differentiate, i.e., (x² − 2)(x+5)³:log[(x² − 2)(x+5)³] = log(x² − 2) + 3 log(x + 5)Step 2: Differentiate the logarithmic equation w.r.t x and simplify it to obtain the expression for f'(x):Differentiating the above equation w.r.t x, we get:1/(x² - 2)(2x) + 3/(x + 5) ... (1)On the other hand, using the differentiation formula for sin x, we have:f(x) = sin x, hence f'(x) = cos x ... (2)Equating (1) and (2), we get:cos x = [1/(x² - 2)(2x) + 3/(x + 5)]We know that the expression we obtained above is the required derivative, hence we can write:f'(x) = cos x = [1/(x² - 2)(2x) + 3/(x + 5)]

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Answer:

the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.

I have attached the definition below with an example too.

\(\sf\purple{Mutual \:funds}\) collect money from investors, create capital, and offer various investment options.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

The two triangles are related by   hypotenuse leg  

so the triangles are   congruent    

======================================================

Explanation:

The square markers indicate we have 90 degree angles. This means the two triangles are right triangles.

The tickmarks tell us which sides correspond and are the same length. The double tickmarked sides are the hypotenuses of each triangle. They are the same length because of the matching tickmarks. The same can be said about the legs marked with single tickmarks.

Based on those tickmarks, and the fact we have right triangles, we can use the hypotenuse leg theorem to prove the triangles are congruent.

The hypotenuse leg theorem only works for right triangles.

Since "hypotenuse leg" is used quite often in geometry, it is abbreviated to "HL".

Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

Answer:

Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Archimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace.

Necessarily we don't know if math is 'right', for there are solvable problems and unsolvable problems.

1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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Answer:

bettew 0-1

Step-by-step explanation:

The bank discount ask yield on a Treasury bill with a face value of $10,000 and 87 days to maturity is 3.4%.

Treasury bills are short-term debt instruments issued by the government to raise funds. They are sold at a discount to their face value and mature at par. The bank discount yield is the annualized rate of return based on the discount price and face value. To calculate the yield, we use the formula:

Bank Discount Yield = (Discount / Face Value) * (360 / Days to Maturity)

In this case, the discount is the difference between the face value and the price at which the T-bill is selling. Let's assume the price is P. The discount is then calculated as: Discount = Face Value - P.

Substituting the given values, we have: Discount = $10,000 - P.

The bank discount yield is 3.4%, which means:

0.034 = (Discount / $10,000) * (360 / 87)

Solving for Discount, we find Discount ≈ $139.08.

Substituting this value back into the Discount formula, we can find the price P ≈ $9,860.92.

Therefore, the T-bill is selling at a price of approximately $9,860.92, and the bank discount ask yield is 3.4%.

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When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

The consumer surplus when the selling price is $10 is found by,
1. First, identify the demand curve equation: p = 430/(x+9).

2. Next, find the quantity demanded (x) when the selling price (p) is $10. Plug p = 10 into the demand curve equation: 10 = 430/(x+9).

3. Solve for x: 10(x+9) = 430. This simplifies to 10x + 90 = 430. Subtract 90 from both sides: 10x = 340. Divide by 10: x = 34.

4. Now, find the price consumers are willing to pay for the 34th unit using the demand curve equation: p = 430/(34+9). This simplifies to p = 430/43, which equals p ≈ 10.

5. The consumer surplus is the difference between the price consumers are willing to pay for the 34th unit and the selling price, multiplied by the quantity demanded, and divided by 2 (since the surplus forms a triangle). In this case, the consumer surplus is approximately (10 - 10) * 34 / 2 = 0.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

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Answer: If anything below sea level is a negative integer then anything above sea level is a positive integer. An integer that could represent a helicopter could be anything from +1 to +1000 and on.

Answer:

c=-35/4

Step-by-step explanation:

For this, we would use Vieta's theorem, which states the roots of the equation added together would equal -b/a, x₁ + x₂ = -b/a

Lets create a system with this:
x₁ - x₂ = 6 (This is given from the problem)

x₁ + x₂ = -b/a  or -1/1, plugging in the values from your equation

next, we would add these systems together

x₁ + x₂ + (x₁ - x₂) = 6 + (-1)
x₁ + x₁ = 5
2x₁ = 5

x₁ = 2.5

If we plug x₁ back in, we get:

2.5 - x₂ = 6

-x₂ = 3.5

x₂ = -3.5

Now that we have the roots, we can use Vieta's theorem again to say

x₁ * x₂ = c/a

Plugging this in, we get:

2.5 * -3.5 = c/a

Lets change things to fractions to make things easier

5/2 * -7/2 = c/a

Plugging in a, we get

-35/4 = c/1

-35 = 4c

c = -35/4

Hope this helps!

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

Only numerical variables—regardless of whether they are discrete or continuous—can be used to determine the mean. Simply dividing the total number of values in a data collection by the sum of all of the values yields it. The computation can be carried out using raw data or data that have been combined into a frequency table.

The sum of all observations divided by the total number of observations yields the arithmetic mean of a set of data.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is sometimes referred to as the "average" and is the most widely used central tendency metric.

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The probability of having at least one defective product in the sample of 7 lots is approximately 0.7753 or 77.53%.

To calculate the probability of having at least one defective product in a sample of 7 lots, we can use the concept of complementary probability. The complementary probability is the probability of the event not happening.

In this case, we can find the probability of not having any defective products in the sample, and then subtract it from 1 to obtain the probability of having at least one defective product.

The probability of not having any defective products in a single lot is given by:

P(not defective) = (number of non-defective lots / total number of lots in a sample)

Since each lot contains 25 items and 5 of them are defective, the number of non-defective lots is 25 - 5 = 20.

The probability of not having any defective products in a single lot is:

P(not defective) = 20/25 = 4/5

Now, let's calculate the probability of not having any defective products in the sample of 7 lots (assuming they are independent):

P(not having any defective product in the sample) = (P(not defective))^7

= (4/5)^7

Finally, we can find the probability of having at least one defective product by subtracting the above probability from 1:

P(at least one defective product) = 1 - P(not having any defective product in the sample)

= 1 - (4/5)^7

Calculating this expression gives us the probability of having at least one defective product in the sample of 7 lots.

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Answer:

x= -1

Step-by-step explanation:

p= x² +4x -2 -----(1)

q= 2x -1 ------(2)

q -p= 2 -----(3)

Substitute (1) and (2) into (3):

2x -1 -(x² +4x -2)= 2

2x -1 -x² -4x +2= 2 (Expand bracket)

-x² -2x +1=2 (Simplify)

x² +2x +2 -1= 0 (Bring all terms to one side)

x² +2x +1= 0

(x +1)²= 0 (Factorise)

x +1= 0 (Square root both sides)

x= -1 (-1 on both sides)

Answer:

6

Step-by-step explanation:

Answer :- Constant term

In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.

Answer:

Step-by-step explanation:

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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Answer:

irrational

Step-by-step explanation:

Irrational + irrational = irrationL