what do I do and how do I do it​

Answer:

-1 is 1 to the left of zero. Positive one is 1 to the right of zero

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

The word problem "the difference of twice a number and one" is equal to 2n - 1.

In Mathematics, an algebraic expression simply refers to a mathematical equation that can be used for showing the relationship which exist between two (2) or more variables, numerical quantities, as well as in conjunction with different mathematical operations.

In order to translate this word problem into algebraic expression, we would assign a variable to the unknown number and then translate the word problem into algebraic expression as follows:

Let the variable n represent the unknown number.

Translating the word problem into an algebraic expression, we have the following;

Algebraic expression = (2 × n) - 1

Algebraic expression = 2n - 1

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The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

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The amplitude of the wave is 2 m.

The wavenumber of the wave is 4 \(m^-^1\).

The angular frequency of the wave is 2 \(s^-^1\).

The period of the wave can be calculated using the formula T = 2π/ω, where T is the period and ω is the angular frequency. In this case, T = 2π/2 = π s.

The wavelength of the wave can be determined using the formula λ = 2π/k, where λ is the wavelength and k is the wavenumber. In this case, λ = 2π/4 = π/2 m.

The speed of the wave can be calculated using the formula v = λ/T, where v is the speed, λ is the wavelength, and T is the period. In this case, v = (π/2)/(π) = 1/2 m/s.

The direction in which the wave moves can be determined by examining the coefficient of the x-term in the equation. In this case, the coefficient is positive (+4), indicating that the wave moves in the positive x-direction.

The phase constant is determined by the argument of the sine function in the equation. In this case, the phase constant is 3π.

To find the displacement at x = 0.5 m and t = 0.5 s, we substitute these values into the equation. y(0.5, 0.5) = 2sin(4(0.5)+2(0.5)+3π) = 2sin(2+1+3π) = 2sin(3+3π) = 2sin(3π) = 0. The displacement at x = 0.5 m and t = 0.5 s is 0.

The given equation provides information about the properties of the wave. The amplitude (2 m) represents the maximum displacement of the wave from its equilibrium position. The wavenumber (4 m^(-1)) indicates the number of wavelengths per unit distance. The angular frequency (2 s^(-1)) represents the rate at which the wave oscillates in radians per second. The period (π s) is the time it takes for one complete cycle of the wave. The wavelength (π/2 m) is the distance between two consecutive points in the wave that are in phase. The speed of the wave (1/2 m/s) is the rate at which the wave propagates through space. The positive coefficient of the x-term indicates that the wave moves in the positive x-direction. The phase constant (3π) represents the initial phase of the wave. Finally, substituting x = 0.5 m and t = 0.5 s into the equation gives a displacement of 0 at that point in space and time.

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Answer:

k=45

Step-by-step explanation:

its an isosceles triangle, so k=45

to check it, 45+45+90=180

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

2x+1

The width is 2x+1

Answer:

( 2x + 1 )

Step-by-step explanation:

10x^2 + 5x

it could also be;

5x (2x + 1)

so, the width is( 2x +1)

The factorization of of −12x+6 is 6(-2x + 1).

Factorization simply means writing if a number as a product of several factors. It is also the breaking or the decomposition of an entity.

In this case, -12x + 6 will be illustrated thus. It should be noted that the common factor between the numbers is 6. This will be:

= -12x + 6

= 6(-2x + 1)

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Answer:

1)36

2)1g:200g

3)60

4)12

5)132

6)a

7)?sorry

Answer:

Step-by-step explanation:

yan po answer ko

The probability that a randomly selected student from this group is a junior and spends 5 -9 hours a week using social media is given as follows:

0.4009 = 40.09%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes for this problem are given as follows:

Hence the probability is given as follows:

p = 184/459 = 0.4009 = 40.09%.

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Answer:

See below.

Step-by-step explanation:

Party A

y = x^2 + 1

For each value of x in the table, substitute x in the equation with that value and evaluate y.

x = -2: y = (-2)^2 + 1 = 4 + 1 = 5

x = -1: y = (-1)^2 + 1 = 1 + 1 = 2

Do the same for x = 0, x = 1, x = 2

x     y

-2   5

-1    2

0    1

1     2

2    5

Part B

Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.

Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.

You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.

Answer: A

I'm assuming for g(x) you mean g(x) = x^2+3 for \(g(x)=x^2+3\).

Going with that...

    \(\begin{aligned}f(g(x)) &= f\left( x^2+3 \right)~~~~~\text{plug $x^2+3$ in for $x$ in $f(x)$}\\[0.5em]&= 2\cdot ( x^2+3 )~~~~~\text{so $2x$ became $2(x^2+3)$}\\[0.5em]&= 2x^2+6\endaligned}\)

Just treat the enter g(x) function as a single input for f(x).

________(F+G)(x)= x²+2x+2_______

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The pitch of the roof is 0.3.

Pitch:

The pitch can be expressed numerically as a fraction. The pitch fraction represents a certain amount of vertical rise over the entire span.

Here it is given that the rise in the roof is 3.6m and a rum of 12m,

We have to find the pitch of the roof.

As is already given in the statement that the slope of a roof is called its pitch.

By this we get the slope:

Slope = 3.6/12

= 3/10

= 0.3

Therefore we get the pitch of the roof at 0.3.

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To find an ε > 0 satisfying the given conditions, we need to examine the graph of the function f(x) = 4 - (-3x + 2). By analyzing the graph, we can identify a suitable ε value that ensures |f(x) - L| < ε for all x within the given range.

The function f(x) is given by f(x) = 4 - (-3x + 2), which simplifies to f(x) = 3x + 2. We are given that x = -2 and L = 4.7. To find ε, we need to determine the maximum distance between f(x) and L within the range 0 < |x - xo| < 6.

First, let's evaluate f(x) at the given x-value:

f(-2) = 3(-2) + 2 = -6 + 2 = -4.

Next, we calculate the absolute difference between f(-2) and L:

|f(-2) - L| = |-4 - 4.7| = |-8.7| = 8.7.

Since we want |f(x) - L| to be less than ε, we set ε = 0.2, which is a smaller value. As 8.7 > 0.2, ε = 0.2 does not satisfy the condition.

To find a suitable ε value, we examine the graph of f(x) = 3x + 2. By observing the graph, we can see that the maximum difference between f(x) and L occurs near x = -2.5. Let's evaluate f(-2.5):

f(-2.5) = 3(-2.5) + 2 = -7.5 + 2 = -5.5.

The absolute difference between f(-2.5) and L is:

|f(-2.5) - L| = |-5.5 - 4.7| = |-10.2| = 10.2.

As 10.2 > 0.2, ε = 0.2 is not suitable. We need a smaller ε value to satisfy the condition.

Continuing to analyze the graph, we can observe that the maximum difference between f(x) and L decreases as x moves away from -2.5. Thus, if we choose a smaller value for x, the difference between f(x) and L will be smaller as well. By selecting x = -3, we can evaluate f(-3) = 3(-3) + 2 = -7, and the absolute difference becomes:

|f(-3) - L| = |-7 - 4.7| = |-11.7| = 11.7.

As 11.7 > 0.2, ε = 0.2 does not satisfy the condition. Therefore, we need to select an even smaller ε value.

By analyzing the graph, we can determine that for x = -3.5, f(-3.5) = 3(-3.5) + 2 = -8.5, and the absolute difference is:

|f(-3.5) - L| = |-8.5 - 4.7| = |-13.2| = 13.2.

Since 13.2 > 0.2, ε = 0.2 is still not suitable. We continue this process until we find an x-value that satisfies the condition. By repeating the analysis, we eventually find that for x = -3.8, the absolute difference becomes:

|f(-3.8) - L| = |-9.4 -

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The valid reasons to use a sample instead of evaluating a much larger population are contacting the whole population would be only marginally more accurate than a sample. A sample can be chosen to validate a specific idea about the population.

Contacting the entire population would be time consuming.
1. Contacting the whole population would be only marginally more accurate than a sample: This is a valid reason because a well-designed sample can often provide an accurate estimate of the population, while using significantly fewer resources.
2. Sampling is a random process, and therefore more accurate than measuring the whole population: This statement is incorrect. A random sample can provide an unbiased estimate, but it is not necessarily more accurate than measuring the entire population.
3. A sample can be chosen to validate a specific idea about the population: This is a valid reason because sampling can be used to test hypotheses or ideas about the population without having to evaluate every member of the population.
4. Contacting the entire population would be time-consuming: This is a valid reason because sampling can save time and resources compared to attempting to gather data from every individual in a population.

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14/5

because if you x them both

The monopolist will produce 6342.22 units of cooking gas.

We have,

Demand function: Q = 8800 - 20P

Cost function: TC = 20Q + 0.05\(Q^2\)

We can start by finding the monopolist's revenue function, which is the product of quantity and price:

R = PQ = (8800 - 20P)P = 8800P - 20\(P^2\)

The monopolist's marginal revenue (MR) is the derivative of the revenue function with respect to quantity:

MR = dR/dQ = 8800 - 40P

To maximize profits, the monopolist sets marginal revenue equal to marginal cost (MC):

MR = MC

Since the cost function is TC = 20Q + 0.05\(Q^2\), the marginal cost (MC) is the derivative of the cost function with respect to quantity:

MC = dTC/dQ = 20 + 0.1Q

8800 - 40P = 20 + 0.1Q

8800 - 40P = 20 + 0.1(8800 - 20P)

8800 - 40P = 20 + 880 - 2P

-40P + 2P = 20 + 880 - 8800

-38P = -7900

P = 7900/38 ≈ 207.89

Therefore, the monopolist will charge a price of $207.89 to maximize profits.

To find the quantity of cooking gas produced, we can substitute the price into the demand function:

Q = 8800 - 20P

Q = 8800 - 20(207.89)

Q ≈ 6342.22

Therefore, the monopolist will produce 6342.22 units of cooking gas.

To calculate the monopolist's profit, we subtract the total cost (TC) from total revenue (TR):

TR = PQ = (8800 - 20P)P

TC = 20Q + 0.05\(Q^2\)

Profit = TR - TC

Profit = (8800P - 20\(P^2\)) - (20Q + 0.05\(Q^2\))

Substituting the price and quantity values:

Profit = (8800(207.89) - 20(207.89)²) - (20(6342.22) + 0.05(6342.22)²)

Profit = 965,066.958 - 2,138,032.12642

Profit = 1,172,008.12642

In this case, the demand function is

Q = 8800 - 20P, and

supply function is the monopolist's marginal cost curve = 20 + 0.1Q.

Setting the demand equal to the supply:

8800 - 20P = 20 + 0.1Q

Substituting Q = 8800

8800 - 20P = 20 + 880

P= 395

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The geometric mean of the given data is approximately 1.099.

To compute the geometric mean for the given data on growth factors of an investment for 10 years, you can follow these steps:

Step 1: Multiply all the growth factors together.
Step 2: Take the nth root of the product, where n is the number of data points.

Now let's calculate the geometric mean using the given data:

1. Multiply all the growth factors together:
1.10 * 0.50 * 0.70 * 1.21 * 1.25 * 1.12 * 1.16 * 1.1 * 1.22 * 1.22 = 3.640317104

2. Take the 10th root of the product:
∛3.640317104 ≈ 1.099

Therefore, the geometric mean of the given data is approximately 1.099.

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Answer: 6

Step-by-step explanation: you could also multiply, 2 x 2 would be 4 + 2 more would be 6

Answer:

2/5

Step-by-step explanation:

Sandra : Gill = 3 : 2 = 3x : 2x

Let x be a positive constant

Let 3x = number of sweets Sandra has

Let 2x = number of sweets Gill has

Total sweets in the box = 3x + 2x = 5x

⇒ half of Sandra's sweets = 3x ÷ 2 = (3/2)x

⇒ quarter of Gill's sweets = 2x ÷ 4 = (1/2)x

⇒ Jonny = (3/2)x + (2/4)x = 2x

So Jonny has 2x sweets of the total of 5x:

⇒ 2x / 5x = 2/5

Answer:

f(x) = (x + 1)((x - 1)^2)(x - 3)

The p-value for 2.03 is 0.0212.

The p-value for 1.50 is 0.0668.

The p-value for 1.20 is 0.1151.

The p-value for 2.76 is 0.0029.

To calculate the p-values for the given critical values, we need to refer to a standard normal distribution graph or a z-table. This table provides the probabilities associated with different z-scores (standardized scores). The z-score represents the number of standard deviations a data point is away from the mean.

a. Critical value: 2.03

To find the p-value for the critical value of 2.03, we look at the standard normal distribution graph or z-table. Locate the value of 2.03 on the graph and find the corresponding area under the curve. This means that if the null hypothesis is true, there is a 0.0212 probability of obtaining a test statistic as extreme as 2.03 or more extreme.

b. Critical value: 1.50

Similarly, we locate the value of 1.50 on the standard normal distribution graph and find the corresponding area. This implies that if the null hypothesis is true, there is a 0.0668 probability of obtaining a test statistic as extreme as 1.50 or more extreme.

c. Critical value: 1.20

Again, we locate the value of 1.20 on the standard normal distribution graph and find the corresponding area. This means that if the null hypothesis is true, there is a 0.1151 probability of obtaining a test statistic as extreme as 1.20 or more extreme.

d. Critical value: 2.76

Locating the value of 2.76 on the standard normal distribution graph, we find the corresponding area.  This indicates that if the null hypothesis is true, there is a 0.0029 probability of obtaining a test statistic as extreme as 2.76 or more extreme.

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Answer:

30%

Step-by-step explanation:

Let's first convert the 2.5 hours into minutes so we have the same units.

1 hour = 60 minutes

2.5 x 60 = 150 minutes

Now we can use the percentage formula.

(value/total value) x 100 = percentage

Since the question is asking what percent of 2½ hours is 45 minutes​, we plug in the formula like this.

(45/150) x 100 = 30%

tadah!

Answer:

4.5 = 7.01 - 2.51

Step-by-step explanation:

If you add 2.51 to 4.5, you'll get 7.01 which is your answer.

lmk if I'm wrong

It is more appropriate to report the weight of copper sold as 6.75 × 10^4 kg, as it simplifies the representation, aligns with standard units, avoids large numbers, and ensures consistency with common practices

It is more appropriate to report the weight of copper sold as 6.75 × 10^4 kg rather than 6.75 × 10^7 g. Here's the justification:

Simplification: Converting 6.75 × 10^7 g to kilograms is a more simplified and commonly used unit in the context of larger quantities of copper. It is easier to comprehend and compare with other measurements.

Standard Unit: Kilograms (kg) is the standard unit of mass in the International System of Units (SI). It is widely used in scientific and commercial contexts, making it more suitable for reporting significant amounts of copper sold.

Avoiding Large Numbers: 6.75 × 10^7 g represents a very large number, which can be cumbersome to work with and may lead to errors or confusion when analyzing or interpreting the data. Using a smaller unit like kilograms (kg) reduces the magnitude of the number and improves readability.

Consistency: Reporting the weight of copper sold in kilograms maintains consistency with other measurements and conventions within the industry or field. It allows for easier comparisons, calculations, and data analysis.

Therefore, it is more appropriate to report the weight of copper sold as 6.75 × 10^4 kg, as it simplifies the representation, aligns with standard units, avoids large numbers, and ensures consistency with common practices.

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Answer: 2 trapezoids

Step-by-step explanation: so 1 trapezoid has the same angles and edges as a hexagon, you get 2 and put them together 1 upside one one forward side up, it makes a hexagon

In order to find the perimeter of the polygon we need to find the measure of each side

We have the next sides

s1=18.4

s2=21.9

s3=20.5

s4=?

we need to find s4 with the fact that two tangents from the same vertex have equal measurements

then we sum all the sides in order to find the perimeter

The perimeter is P=77.8