What is the equation of the line in point-slope form?
O y +4 = {(x+4)
O y-4 = 4(x + 4)
Oy-0 = 2(x-4)
Oy -4 = 2(x-0)

The Taylor series for a function about x=0 is given by 2^k/3kx^k. We are supposed to find f5(0).The given Taylor series can be written as follows'(x) = ∑_k=0^∞▒(2^k)/(3k)x^k``f5(x) = (2^5)/(3×5)x^5``f5(0) = (2^5)/(3×5)×0^5 = 0`Therefore, f5(0) = 0. The work leading to this answer has been shown above.
To find f^(5)(0), we need to identify the term in the Taylor series that corresponds to the 5th derivative of the function evaluated at x=0. The general term in the Taylor series is given by:

(2^k / 3k) * x^k

We need to find the term where k = 5:

(2^5 / 3*5) * x^5 = (32 / 15) * x^5

Now, to find f^ (5)(0), we evaluate this term at x = 0:

(32 / 15) * 0^5 = 0

So, f^ (5)(0) = 0.

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Answer:

Step-by-step explanation:

For exapmple: scale is 1:2 on a map

1 cm on the map is 2 cm in real life.

1 m on the map is 2 m in real life.

the proportion on the map is multiplied by the second number on the scale

Answer:

1/4

Step-by-step explanation:

You cannot subtract (or add) a fraction with different denominators so first, you need to find a common denominator. You can do this by finding the least common multiple (LCM).

Here the denominators are 2 and 4 so the LCM is 4.

After you find the LCM you need to multiply the denominator by a number that equals the LCM. Then multiply the numerator by that same number.

So convert both 1/2 and 1/4

1/4 x 1/1 = 1/4

1/2 x 2/2 = 2/4

Now we can just subtract the numerator from each other.

2/4 - 1/4 = 1/4

We cannot simplify the difference any more so keep it the same.

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

Triangle C is

Step-by-step explanation:

can i get brainliest answer pleaseeee

The required age of Anna who is the middle of three siblings is 27 years.

As talked about in the presentation, in Math, the numbers that follow each other in a request are called successive numbers or consecutive numbers. These whole numbers go from littlest to the most elevated, for example in rising request. A portion of the models are: - 4,- 3,- 2, −1, 0, 1, 2, 3, 4.

Let the  Anna's age be x

Then Ages of other two siblings are x-1, x+1

Total sum of their ages = 81

 x-1 + x + x+1 = 81

3x = 81

x = 27

Thus, the required age of Anna is 27 years.

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The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

1) \(y\leq 2x-3\)

2)See below photo, or graph it yourself using \(y < 2 - \frac{1}{2} x\). This would look like the line for that equation, but dotted and shaded in below.

3) I disagree with Oscar. Because the equation for the second line is less than, not less than OR equal to, and that point falls right on the line for \(y < 2 - \frac{1}{2} x\), it is not a valid solution.

Step-by-step explanation:

1) First, I found the slope. It's rising 2 over 1, so the slope is 2/1 or 2. Then, the y-intercept, which is -3. From there I created the equation.

2) I had to put this into slope-intercept form by subtracting x from both sides to get \(2y < 4-x\). Then I divided both sides by two to get \(y < 2 - \frac{1}{2} x\). Then I put it into an online graphing program (I used desmos's).

3) Explains itself!

Let me know if this helped by hitting thanks or brainliest. If not, please comment and I'll get back to you ASAP!

Answer:

4.1, 4.1011, 4.601, 4.61

Step-by-step explanation:

uhm the first number is the smallest and I ordered it increasing from left to right. it's correct

hope this helps babe <3

Price Ceiling: A price ceiling is a government-imposed maximum price set below the equilibrium market price.

It is intended to protect consumers by keeping prices low and affordable for certain goods or services.

Price ceilings are often implemented during times of market shortages or to control inflation.

Price Floor: A price floor is a government-imposed minimum price set above the equilibrium market price.

It is intended to protect producers by ensuring they receive a certain level of income for their goods or services.

Price floors are often used in agricultural markets or to establish minimum wage laws.

Value-based Pricing vs. Cost-based Pricing: Both value-based pricing and cost-based pricing approaches have their advantages and disadvantages.

Value-based pricing focuses on determining the perceived value of a product or service to customers and pricing it accordingly.

This approach considers the benefits and value that customers derive from the product and sets the price based on what customers are willing to pay.

Value-based pricing allows for higher profit margins and takes into account customer preferences and willingness to pay.

Cost-based pricing, on the other hand, sets prices based on the production costs and desired profit margin.

It involves calculating the total cost of producing the product and adding a markup to determine the selling price.

Cost-based pricing is more straightforward and easier to implement, as it relies on the actual costs incurred in producing the product.

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Answer:

Para reconocer el numero medido entre los dos números marcados podemos medir la "distancia" o diferencia entre ellos.

Para ello, simplemente debemos calcular la diferencia, entonces tenemos:

Barra de metal:

Los extremos son 3.5 y 3.6, la diferencia es:

3.6 - 3.5 = 0.1

Lamina de cartón:

Los extremos son 0.17 y 0.18, la diferencia es:

0.18 - 0.17 = 0.01

Tira de madera:

Los extremos son 1.24 y 1.25, la diferencia es:

1.25 - 1.24 = 0.01

Answer:

240

Step-by-step explanation:

The 8th square number is 2^8 = 256.

The 4th square number is 2^4 = 16.

Their difference is 256 - 16 = 240.

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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Answer:

The answer should be \(\frac{87}{50}\)

Step-by-step explanation:

1.74 = \(\frac{174}{100}\) = \(\frac{87}{50}\)

Answer:

174% = 87/50 = 1 37/50 as a fraction

Step-by-step explanation:

174% = 174/100

Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(174,100) = 2. So,

(174÷2)/(100÷2) = 87/50 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 174/100 is also equal to 1 37/50 when expressed as a mixed number.

Answer: 913%

Step-by-step explanation:

Based on the concept of payday loans, Barbara's annual percentage rate is 9.125%

The Annual Percentage Rate (APR) is a term that is used to describe the cost paid each year to borrow money, such as fees, expressed as a percentage.

In this case, to get the annual percentage rate (APR) on Barbara's loan calculate the effective interest rate for the 8-day period and then annualize it.

Given that Barbara borrowed $75 and was charged a fee of $15 for an 8-day term the total amount she needs to repay is $75 + $15 = $90.

To calculate the effective interest rate we can use the following formula:

Effective Interest Rate = (Total Interest / Principal) * (365 / Loan Term)

Total Interest = $15 (fee)

Principal = $75 (loan amount)

Loan Term = 8 days

Substituting the values into the formula:

Effective Interest Rate = (15 / 75) * (365 / 8)

Effective Interest Rate = 0.2 * 45.625

Effective Interest Rate = 9.125%

Therefore, APR = Effective Interest Rate * Compounding Frequency

APR = 9.125% * 1

APR = 9.125%

Hence, in this case, it is concluded the approximate annual percentage rate (APR) on Barbara's loan is around 9.125%.

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Answer:

The slope is 2

Points are (0,-3), (3/2,0)(5,7)(-1,-5)

Using the line of best fit equation yhat = 0.88X + 1.53, we can predict the y scores for the given X values: X = 1.20, X = 3.33, X = 0.71, and X = 4.00.

The line of best fit equation is given as yhat = 0.88X + 1.53, where yhat represents the predicted y value based on the corresponding X value.

To find the predicted y scores for the given X values, we substitute each X value into the equation and calculate the corresponding yhat value.

1. For X = 1.20:

yhat = 0.88 * 1.20 + 1.53 = 2.34

2. For X = 3.33:

yhat = 0.88 * 3.33 + 1.53 = 4.98

3. For X = 0.71:

yhat = 0.88 * 0.71 + 1.53 = 2.18

4. For X = 4.00:

yhat = 0.88 * 4.00 + 1.53 = 5.65

Therefore, the predicted y scores for the given X values are as follows:

- For X = 1.20, the predicted y score is 2.34.

- For X = 3.33, the predicted y score is 4.98.

- For X = 0.71, the predicted y score is 2.18.

- For X = 4.00, the predicted y score is 5.65.

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Answer:

\( \sqrt[3]{8 + 6} = \sqrt[3]{14} \\ = 2.41\)

I hope I helped you^_^

The atmospheric layer responsible for weather is the troposphere.

Answer:

\(18 \sqrt{2} + 18\)

Step-by-step explanation:

\(3 \sqrt{6} (2 \sqrt{3} + \sqrt{6} ) \\ =( 3 \sqrt{6} \times 2 \sqrt{3} ) + (3 \sqrt{6} \times \sqrt{6} ) \\ = 6 \sqrt{18} + 18 \\ \)

To further simplify:

\(6 \sqrt{18} = 6 \times \sqrt{9 \times 2} \\ = 6 \times 3 \times \sqrt{2 \\ } \\ = 18 \sqrt{2} \)

Thus, the answer is:

\(18 \sqrt{2} + 18\)

Answer:

121

Step-by-step explanation:

It's a series of odd numbers. Let

\(S _{11} = 1+3+5+7+9+11+13+15+17+19+21 \)

As a rule of thumb, the sum of n numbers of odd numbers is equal to n². There're 11 numbers in this series. Hence The sum is 11² =121

Answer:

121

Step-by-step explanation:

1 + 3 + 5 + 7 + 9 + 11 +  13 + 15 + 17 + 19 + 21 is a sum of first 11 odd numbers.

   \(\sf \boxed{\text{\bf Sum of first n odd numbers = $n^2$}}\)

Here, n is the number of terms.

In this sequence, there are 11 terms.

Sum of first 11 odd numbers = 11²

                                              = 11 *11

                                              = 121

Therefore , the solution of the given problem of coordinate plane is we can translate an image on a coordinate plane .

The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.

Here,

If we are aware of the direction and magnitude of the figure's movement, we may draw the translation in the coordinate plane.

Use P'(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up.

So, translating an image onto a coordinate plane is the answer to the provided coordinate plane problem.

Therefore , the solution of the given problem of coordinate plane is we can translate an image on a coordinate plane .

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Answer:

17.833333333333333333333333

Step-by-step explanation:

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Answer:

Step-by-step explanation:

<2 + <1 + 20 = 180                 A straight line has 180 degrees.

<2 is given as 90 degrees.

90 + <1 + 20 = 180                Combine like terms

<1 + 110 = 180                        Subtract 110 from both sides

<1 = 180 - 110

<1 = 70

<1 + <2 + <3 = 180

<1 = 70

<2 = 90

70 + 90 + <3  = 180

160 + <3 = 180                    Subtract 160 from both sides

<3 = 180 -  160

<3 = 20

20 + 20 + <4 = 180            Straight line theorem stated above.

40 + <4 = 180                     Subtract 40 from both sides

<4 = 180 - 40

<4 = 140

well, the population before the increase was "x", which oddly enough is the 100%, now if it increased by 16% that means 100% + 16% = 116%, and we happen to know that's 667

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 667& 116 \end{array} \implies \cfrac{x}{667}~~=~~\cfrac{100}{116} \\\\\\ \cfrac{x}{667}=\cfrac{25}{29}\implies 29x=(25)(667)\implies x=\cfrac{(25)(667)}{29}\implies x=575\)

Answer:

2nd, 3rd and 5 th

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \(\frac{2}{3}\) and (a, b) = (1, 2) , thus

y - 2 = \(\frac{2}{3}\) (x - 1) ← 2 nd option

Using (a, b) = (4, 4), then

y - 4 = \(\frac{2}{3}\) (x - 4) ← 3 rd option

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \(\frac{2}{3}\) , thus

y = \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (4, 4) into the partial equation

4 = \(\frac{8}{3}\) + c ⇒ c = 4 - \(\frac{8}{3}\) = \(\frac{4}{3}\)

f(x) = \(\frac{2}{3}\) x + \(\frac{4}{3}\) ← 5 th option

The value of k for which the quadratic equation 4s² - 4s + (k - 2) has one real solution is:

k = 16.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

In this problem, the equation is given as follows:

4x² - 4s + (k - 2) = 0.

Hence the coefficients are given as follows:

a = 4, b = -4, c = k - 2.

Hence the discriminant is:

Δ = (-4)² - 4(4)(k - 2)

Δ = 16 - 16k + 32

Δ = 48 - 3k

It has one real solution if Δ = 0, hence:

48 - 3k = 0

3k = 48

k = 48/3

k = 16.

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