‼️‼️WILL MARK BRAINLIEST, IF HELPFUL‼️‼️

WILL MARK BRAINLIEST, IF HELPFUL

Answers

Answer 1

Answer:

a. 12. 56m

b. 25.12cm

Step-by-step explanation:

a. Circle with radius (r) = 2m:

The circumference of a circle is the distance around its outer edge. To find the circumference, we use the formula: Circumference = 2 * π * r, where π (pi) is approximately 3.14 and r is the radius of the circle.

In this case, the radius (r) is given as 2m. Plugging in this value into the formula, we have:

Circumference = 2 * 3.14 * 2

= 12.56 meters

Therefore, the circumference of the circle with a radius of 2m is 12.56 meters.

b. Circle with diameter (d) = 8cm:

The diameter of a circle is the distance across the circle, passing through the center. To find the circumference, we use the formula: Circumference = π * d, where π (pi) is approximately 3.14 and d is the diameter of the circle.

In this case, the diameter (d) is given as 8cm. Plugging in this value into the formula, we have:

Circumference = 3.14 * 8

= 25.12 centimeters

Therefore, the circumference of the circle with a diameter of 8cm is 25.12 centimeters.

Hope this helps!

Answer 2

Answer:

[tex]C = \pi d[/tex]

[tex]C=2\pi r[/tex]

Formula [tex]C[/tex] = [tex]2\pi r[/tex]

[tex]a.~r=2~m[/tex]

[tex]2(3.14)(2)[/tex]

[tex]12.56~m[/tex]

Formula [tex]C[/tex] = [tex]\pi d[/tex]

[tex]b.~ d = 8~cm[/tex]

[tex]3.14*8[/tex]

[tex]25.12~ cm[/tex]


Related Questions

Find y in the diagram below. ​

Answers

Answer:

[tex]\mathrm{5m}[/tex]

Step-by-step explanation:

[tex]\mathrm{sin30^o=\frac{p}{h}}\\\\\mathrm{or,\ \frac{1}{2}=\frac{Y}{10}}\\\\\mathrm{or,\ Y=5m}[/tex]

answer the following questions

Answers

The values of the identity are;

a. tan Z  = 3/4

b. sin C = 4/10

c. tan Z = 20/21

d.  cos A =  5/13

e. tan Z = 9/12

How to determine the value

To determine the value, we need to know the different trigonometric identities, we have;

sinecosinetangentcotangentsecantcosecant

From the information given, we have that;

a. tan Z = opposite/adjacent

substitute the values

tan Z = 24/32 = 3/4

b. sin theta = opposite/hypotenuse

sin C = 24/40 = 4/10

c. tan Z = opposite/adjacent

tan Z = 20/21

d. cos theta = adjacent/hypotenuse

cos X = 20/15 = 4/3

e. cos A = 15/39 = 5/13

d. tan Z = 27/36

tan Z = 9/12

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4. A video game set can be bought on hire purchase by making a deposit of $190 and 12 monthly instalments of $171 each. Calculate the hire purchase cost of the video game set. The actual marked price of the video game set is $1900. This includes a sales tax of 15%. Calculate the selling price of the video game set if no sales tax is included.​

Answers

Answer: $1652.17

Step-by-step explanation:

First, let's calculate the hire purchase cost of the video game set.

The hire purchase cost is the initial deposit plus the total cost of the monthly installments.

The total cost of the monthly installments is $171 * 12 = $2052.

So, the total hire purchase cost is $190 (deposit) + $2052 (total monthly payments) = $2242.

Now, let's calculate the selling price of the video game set if no sales tax is included.

If the marked price of $1900 includes a 15% sales tax, we can calculate the pre-tax price (the selling price without the tax) by dividing the marked price by 1 plus the tax rate.

The tax rate in decimal form is 15% = 0.15.

So, the selling price without the tax would be $1900 / (1 + 0.15) = $1900 / 1.15 = approximately $1652.17.

3. When paying off credit card debt, it is best to pay off _____ credit cards

Answers

When paying off Credit card debt, it is best to pay off high-interest credit cards

When paying off credit card debt, it is best to pay off high-interest credit cards first. High-interest credit cards typically have higher annual percentage rates (APRs) compared to other credit cards. By prioritizing the repayment of high-interest credit cards, you can minimize the amount of interest you accrue and potentially save money in the long run.

Focusing on paying off high-interest credit cards first allows you to reduce your overall debt faster. By eliminating high-interest debt, you can free up more funds to tackle other debts or allocate towards savings and investments.

It's important to note that each individual's financial situation is unique, and the best approach to paying off credit card debt may vary. Some individuals may choose to prioritize paying off credit cards with the smallest balances first (the snowball method), while others may opt for the highest interest rate (the avalanche method). It's essential to assess your financial goals and capabilities to determine the most effective strategy for your situation.

Consulting with a financial advisor or credit counseling service can provide personalized guidance and help you develop a debt repayment plan that aligns with your financial goals and circumstances.

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What are the period and amplitude of the function?


period: π; amplitude: 1.5

period: π; amplitude: 3

period: π2; amplitude: 1.5

period: π2; amplitude: 3

Answers

The period is π/2 and the amplitude is 3.

Given data ,

Let the function be represented as the graph of f ( x )

where the function is plotted

Now , The period of a function is the length of one complete cycle of the function. It represents the distance along the x-axis over which the function repeats its pattern

And , The amplitude of a function is the maximum distance between the function's graph and its average value where it is a positive value

So , period: π/2; amplitude: 3

Hence , the period and amplitude are solved

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Solve 3x²2 - 2x + 4 = 0.
A)
B)
C)
D)
1± √√√11
3
1± √√√13
3
1 ±i√√11
3
1+1√√13
3

Answers

Answer:

To solve the equation 3x²2 - 2x + 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 3, b = -2, and c = 4. Substituting these values into the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(4))) / (2(3))

x = (2 ± √(4 - 48)) / 6

x = (2 ± √(-44)) / 6

Since the discriminant (-44) is negative, the solutions involve imaginary numbers. Therefore, the answer is:

1 ± i√11

3

Hence, the correct answer is 1 ± i√√11/3.

The Americans with disabilities

Answers

The Americans with Disabilities Act (ADA) is a landmark civil rights law enacted in the United States in 1990.

What is the Act about?

Its purpose is to protect individuals with disabilities from discrimination and ensure equal opportunities in various aspects of life, including employment, public accommodations, transportation, and telecommunications.

The ADA defines a disability as a physical or mental impairment that substantially limits one or more major life activities, such as walking, seeing, hearing, speaking, or learning. The law prohibits discrimination against individuals with disabilities in both the private and public sectors.

Under the ADA, employers with 15 or more employees are required to provide reasonable accommodations to qualified individuals with disabilities, as long as it does not impose an undue hardship on the employer.

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Explain the Americans with Disabilities Act

Determine whether there is a minimum or maximum value to the quadratic function. Find the value and the axis of symmetry. If your answer is not an integer please round to the nearest hundredth. f(x)=2x^2-10x+4

Answers

The Quadratic function has a minimum value of -8.5 at the axis of symmetry x = 2.5.

There is a minimum or maximum value to the quadratic function f(x) = 2x^2 - 10x + 4, we can look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient for the x^2 term indicates that the quadratic function opens upwards and has a minimum value.

To find the value of the minimum point and the axis of symmetry, we can use the formula:

Axis of Symmetry = -b / (2a)

Value at the Minimum Point = f(Axis of Symmetry)

In our quadratic function, a = 2 and b = -10. Plugging these values into the formulas, we get:

Axis of Symmetry = -(-10) / (2 * 2) = 10 / 4 = 2.5

To find the value at the minimum point, we substitute the axis of symmetry (x = 2.5) into the function:

f(2.5) = 2(2.5)^2 - 10(2.5) + 4

       = 2(6.25) - 25 + 4

       = 12.5 - 25 + 4

       = -8.5

Therefore, the minimum value of the quadratic function f(x) = 2x^2 - 10x + 4 is -8.5. The axis of symmetry is x = 2.5.

the quadratic function has a minimum value of -8.5 at the axis of symmetry x = 2.5.

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9. A sample of the amount of rents paid for one bedroom apartment of similar sizes ear EBKUST campus are: Le 335,000, Le 385,000, Le 635,000, Le 578,000, Le 00,000, Le 535,000 Le 462,000, Le 410,000, Le 373,000, Le 410,000, Le 430,000 and = 515,000. Compute the: i. ii. iii. V. range (interpret your result) mean median mode​

Answers

The results are:

i. Range: Le 635,000

ii. Mean: Le 445,666.67

iii. Median: Le 420,000

iv. Mode: None

We have,

To compute the range, mean, median, and mode of the given data set, let's first arrange the rent amounts in ascending order:

Le 00,000, Le 335,000, Le 373,000, Le 385,000, Le 410,000, Le 410,000, Le 430,000, Le 462,000, Le 515,000, Le 535,000, Le 578,000, Le 635,000

i. Range:

The range is calculated by subtracting the minimum value from the maximum value in the data set:

Range = Maximum value - Minimum value

Range = Le 635,000 - Le 00,000

Range = Le 635,000

ii. Mean:

The mean is the average of the rent amounts. We sum up all the values and divide by the number of values in the data set:

Mean = (Sum of all rent amounts) / (Number of rent amounts)

Mean = (Le 00,000 + Le 335,000 + Le 373,000 + Le 385,000 + Le 410,000 + Le 410,000 + Le 430,000 + Le 462,000 + Le 515,000 + Le 535,000 + Le 578,000 + Le 635,000) / 12

Mean = Le 5,348,000 / 12

Mean = Le 445,666.67

iii. Median:

The median is the middle value in the sorted data set. In this case, since we have 12 rent amounts, the median will be the average of the 6th and 7th values:

Median = (Le 410,000 + Le 430,000) / 2

Median = Le 420,000

iv. Mode:

The mode is the value that appears most frequently in the data set. In this case, there is no rent amount that appears more than once, so there is no mode.

Therefore,

The results are:

i. Range: Le 635,000

ii. Mean: Le 445,666.67

iii. Median: Le 420,000

iv. Mode: None

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The function shown in the graph is vertically stretched by a factor of 8 to produce a new graph. Which function represents the new graph?

Answers

Answer:

[tex]f(x)=8\sin(2\pi x)[/tex]

Step-by-step explanation:

The explanation is attached below.

Answer: f(x)=8sin(2πx)

Step-by-step explanation

Hope this explanation helps.  Please see the attachment.

HELP!!
Solve 3(x–9)2 = 21

Answers

Answer:

x = [tex]\frac{25}{2}[/tex]

Step-by-step explanation:

3(x–9)2 = 21

6(x - 9) = 21

6x - 54 = 21

6x = 75

x = [tex]\frac{75}{6}[/tex] = [tex]\frac{25}{2}[/tex]

So, the answer is x = [tex]\frac{25}{2}[/tex]

An electrician purchased 15 dimmer switches $20 each and received a $8 credit for each of the two duplexes receptacles she retry. Write out a mathematical statement that the amount of money she spent then calculate this total

Answers

Step-by-step explanation:

Let's break down the information provided and write out the mathematical statement step by step.

The electrician purchased 15 dimmer switches, each costing $20. This can be represented as:

Cost of dimmer switches = 15 * $20

The electrician also received a credit of $8 for each of the two duplex receptacles she returned. The total credit received can be calculated as:

Total credit = 2 * $8

To find the total amount of money she spent, we need to subtract the total credit from the cost of the dimmer switches:

Total amount spent = (Cost of dimmer switches) - (Total credit)

Now, let's calculate the total amount of money she spent:

Cost of dimmer switches = 15 * $20 = $300

Total credit = 2 * $8 = $16

Total amount spent = $300 - $16 = $284

Therefore, the electrician spent a total of $284.

3
Felipe gave 4 people candy. He split pounds among them.
4
What is the unit rate in pounds per person?
Write your answer in simplest form.
pounds per person
믕ㅁ음
C

Answers

The unit rate in pounds per person is:

3/16 pounds per person

How to find the unit rate in pounds per person?

A unit rate is defined as the rate for one of something. For example, if 10 oranges cost $50, the unit rate will be $50/10 = $5 i.e.  $5 for one orange.

In this case, Felipe gave 4 people candy. He 3/4 split pounds among them.

We have:

Quantity of candy =  3/4 pounds

Number of people = 4

We will divide the quantity of candy by number of people to get the unit rate (quantity of candy per person). That is:

unit rate = (3/4) ÷ 4

unit rate = (3/4) × (1/4)

unit rate = 3/16 pounds per person

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Find the y-intercept of the line y = 15/2x - 13/10.
4) Write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.

Answers

Answer:

The y-intercept of a function is the point where the function crosses the y-axis, which is when x = 0.

Therefore, to find the y-intercept of the given line, we must set x equal to zero. This will result in the value of y when x = 0, which is our y-intercept.

[tex]y = \frac{15}{2}x - \frac{13}{10} \\[/tex]

[tex]y = \frac{15}{2}(0) - \frac{13}{10} \\[/tex]

[tex]y = -\frac{13}{10} \\[/tex]

The y-intercept is at [tex](0, -\frac{13}{10} )[/tex].

Answer: [tex]-\frac{13}{10}[/tex]

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

We could also identify that this is a linear function that is in the form

y = mx+b

where m is the value of the slope, and b is the value of the y-intercept.

In this case, [tex]\frac{15}{2}[/tex] is the slope and [tex]- \frac{13}{10} \\[/tex] is the y-intercept.

A washing machine was purchased on sale at 256. Each year the value is 1.4 of value the previous year Enter the function, f(t) that describes the value of the washing machine as a function of time in years, t, after the initial purchase .

Answers

The value of the washing machine will grow exponentially, increasing by a factor of 1.4 each year.

Based on the given information, we can determine the function that describes the value of the washing machine as a function of time.

Let's assume the initial value of the washing machine is 256. Each subsequent year, the value is 1.4 times the value of the previous year. Therefore, the function can be expressed as:

f(t) = 256 * (1.4)^t,

where t represents the time in years after the initial purchase.

This function takes the initial value of 256 and multiplies it by 1.4 raised to the power of t. As t increases, the value of the washing machine will grow exponentially, increasing by a factor of 1.4 each year.

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1. Ana lanza un balón en diagonal hacia un edificio que se encuentra separado 30 metros de ella; una vez lanzado el balón, alcanza el techo de un edificio de 10 metros de altura, ¿cuál es la distancia recorrida por el balón?​

Answers

Para determinar la distancia recorrida por el balón, podemos usar el teorema de Pitágoras para calcular la distancia horizontal y vertical por separado y luego sumarlas.

La distancia horizontal entre Ana y el edificio es de 30 metros, mientras que la altura del edificio es de 10 metros. Dado que el balón alcanza el techo del edificio, la distancia vertical recorrida es igual a la altura del edificio, es decir, 10 metros.

Utilizando el teorema de Pitágoras, podemos calcular la distancia recorrida por el balón:

Distancia recorrida = √(Distancia horizontal^2 + Distancia vertical^2)

= √(30^2 + 10^2)

= √(900 + 100)

= √1000

≈ 31.62 metros

Por lo tanto, la distancia recorrida por el balón es aproximadamente 31.62 metros.

You are a doctorate student in biology doing a dissertation about the insect Desmolithica Geogebra. This insect causes serious damage to plums, apricot and flowering cherries. The female insect lays as many as thirty to sixty eggs on the leaves of the host trees. The time when the insect larva hatches from its egg up to the moment in finding its host tree is called the searching period. Once the insect finds the plum, it squirms into the fruit and begin to ruin it. After approximately four weeks, the insect will crawl back under the bark of the plum tree or directly to the soil where it forms a cocoon. The observation regarding the behavior of the insect demonstrate the length of the searching period S(t), and the percentage of the larvae that survive this period N(t), depend on the air temperature denoted by t. The data from the observations suggest that if the air temperature is measure in degree celsius, where 20 S(t) = (-0.03t^2+1.6t-13.65)^(-1) days and N(t)= -0.85t^2+45.4t-547

S(25) in days N(25) in % T when ds/dt=0
0.1316 56.75 26.67

1. Explain comprehensively the models for S(t) and N(t). Elaborate mathematically these formulae in predicting for the length of searching period and percentage of larvae surviving the searching period when t=25.
2. Find the rate of change of the searching period with respect to temperature t. When does this rate equal to zero? What will happen when t=0?
3. Find the rate of change of the percentage of larvae surviving the searching period with respect to length of the searching period. What information does this provide?

Answers

The models for S(t) and N(t) are mathematical representations that predict the length of the searching period and the percentage of larvae surviving the searching period based on the air temperature denoted by t.

The model for S(t) is given as:

S(t) = (-0.03t^2 + 1.6t - 13.65)^(-1)

This model predicts the searching period length in days. It is an inverse function of the quadratic equation (-0.03t^2 + 1.6t - 13.65). As the temperature increases, the searching period decreases, indicating that the larvae are more efficient at finding the host tree at higher temperatures.

To calculate S(25), we substitute t = 25 into the equation:

S(25) = (-0.03(25)^2 + 1.6(25) - 13.65)^(-1)

= (-0.03(625) + 40 - 13.65)^(-1)

= (-18.75 + 26.35)^(-1)

= 7.6^(-1)

= 0.1316 days

Therefore, when the air temperature is 25 degrees Celsius, the predicted length of the searching period is approximately 0.1316 days.

The model for N(t) is given as:

N(t) = -0.85t^2 + 45.4t - 547

This model predicts the percentage of larvae surviving the searching period. It is a quadratic function (-0.85t^2 + 45.4t - 547). As the temperature increases, the percentage of larvae surviving the searching period may increase or decrease depending on the behavior of the quadratic function.

To calculate N(25), we substitute t = 25 into the equation:

N(25) = -0.85(25)^2 + 45.4(25) - 547

= -0.85(625) + 1135 - 547

= -531.25 + 1135 - 547

= 56.75%

Therefore, when the air temperature is 25 degrees Celsius, the predicted percentage of larvae surviving the searching period is 56.75%.

2. The rate of change of the searching period S(t) with respect to temperature t can be found by taking the derivative of the function S(t) with respect to t, which is denoted as ds/dt.

ds/dt = d/dt [(-0.03t^2 + 1.6t - 13.65)^(-1)]

To find when ds/dt = 0, we set the derivative equal to zero and solve for t:

ds/dt = 0

However, without the specific equation of S(t) in its original form, it is not possible to provide an exact value of t when ds/dt equals zero.

Regarding the behavior when t = 0, we cannot determine this without further information or the specific form of the function S(t). The behavior at t = 0 depends on the equation itself and how it is defined.

3. The rate of change of the percentage of larvae surviving the searching period N(t) with respect to the length of the searching period S(t) can be found by taking the derivative of the function N(t) with respect to S(t), denoted as dN/dS.

dN/dS = d/dS [(-0.85t^2 + 45.4t - 547)]

This rate of change provides information about how the percentage of larvae surviving the searching period changes with respect to the length of the searching period. It gives insight into the sensitivity

The bucket is 5 litre and a jug is 500ml.How many jugs of water will be needed to fill the bucket??

Answers

Answer:

As 5 litres is 5000ml, it would take 10 jugs of 500ml as long as there is no spillage

Step-by-step explanation:

Hope this helps, a brainliest would be much appreciated:)

the nth term of 1,7,13,19

Answers

The nth term of the sequence 1, 7, 13, 19 is given by the formula: nth term = 1 + (n - 1) * 6 = 19

To discover the nth time period of the sequence 1, 7, 13, 19, we want to become aware of the sample or rule that governs the sequence.

In this case, we look at that every time period will increase by way of 6 in contrast to the preceding term.

We can categorical this sample in the following equation:

nth time period = 1 + (n - 1) * 6

Let's follow this equation to discover the nth term:

For n = 1:

nth time period = 1 + (1 - 1) * 6

= 1 + zero * 6

= 1

For n = 2:

nth time period = 1 + (2 - 1) * 6

= 1 + 1 * 6

= 1 + 6

= 7

For n = 3:

nth time period = 1 + (3 - 1) * 6

= 1 + two * 6

= 1 + 12

= 13

For n = 4:

nth time period = 1 + (4 - 1) * 6

= 1 + 3 * 6

= 1 + 18

= 19

As we can see, the equation efficiently generates the given phrases of the sequence.

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.................................................................................................................................................................

Answers

Answer:

2f+15

Step-by-step explanation:

f toy cars

toy dolls : 2f+15

option number 4

Illustration 4 Zeko Enterprise earned an annual profit of Nu. 1 million during the income yea 2018. The enterprise declared à bonus of Nu. 250,000 in the same year, out e -hich Nu. 100,000 were paid to Dawa, the Manager, and the balance to the oth- mployees. Dawa is the son of Zeko, owner of the enterprise. How would you tre s case as an Assessor?​

Answers

As an assessor, it is essential to objectively evaluate the Bonus payment, taking into account industry standards, the relationship between Dawa and Zeko, and compliance with tax laws.

As an assessor, it is important to approach this case with objectivity and fairness. The key factors to consider are the nature of the bonus payment, the relationship between Dawa and Zeko, and any relevant tax laws or regulations.

Firstly, it is necessary to determine if the bonus payment was reasonable and consistent with industry standards. Assessors often compare the bonus amounts given by similar enterprises in the same industry to establish a benchmark. If the bonus amount falls within a reasonable range, it is more likely to be considered as a legitimate business expense.

Secondly, the relationship between Dawa and Zeko should be evaluated. In this case, Dawa is identified as the son of Zeko, which raises questions about potential conflicts of interest or nepotism. Assessors must carefully examine whether the bonus payment to Dawa was based on his merit and contribution to the enterprise or if it was primarily due to their familial relationship. If there is evidence of favoritism or the bonus is disproportionate to Dawa's role and responsibilities, it could be deemed as personal income rather than a legitimate business expense.

Lastly, assessors need to adhere to relevant tax laws and regulations. The bonus payment should be assessed in accordance with the tax code of the jurisdiction where Zeko Enterprise operates. This involves ensuring that the appropriate taxes are paid on the bonus amount and that it is properly reported in the company's financial records.

Overall, as an assessor, it is essential to objectively evaluate the bonus payment, taking into account industry standards, the relationship between Dawa and Zeko, and compliance with tax laws. The focus should be on determining the legitimacy of the bonus payment as a business expense and ensuring that proper taxes are paid.

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What is the equation of the circle with center (0,0) that passes through the point (-6,-6)? need answers now

○ (x+6)² + (y+6)² = 72
Ox² + y² = 0
Ox² + y² = 72
○ (x+6)² + (y+6)² = 0​

Answers

The equation of the circle with center (0,0) that passes through the point (-6,-6) is  x^2 +y^2 = 72. So, the correct option is A.

To find the equation of a circle, we need to know the center coordinates and the radius. In this case, the center of the circle is given as (0,0), which means the x-coordinate and y-coordinate of the center are both 0.

The radius can be determined by calculating the distance between the center and the given point on the circle, (-6,-6). We can use the distance formula, which is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Plugging in the coordinates of the center (0,0) and the given point (-6,-6), we get:

d = √((-6 - 0)² + (-6 - 0)²)

= √((-6)² + (-6)²)

= √(36 + 36)

= √72

= 6√2

The radius of the circle is 6√2.

Now we can use the standard form equation of a circle, which is:

(x - h)² + (y - k)² = r²

Where (h, k) represents the center coordinates and r represents the radius. Substituting the values, we have:

(x - 0)² + (y - 0)² = (6√2)²

x² + y² = 72

So, the equation of the circle with center (0,0) that passes through the point (-6,-6) is: x^2 +y^2 = 72

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Carly and Annie are making string bracelets. Carly's design needs 3.5 meters of string, Annie's needs 2.7 meters of string. How much string do they need together?

Answers

Answer:

6.2 meters

Step-by-step explanation:

Carly needs 3.5 meters of string.

Annie needs 2.7 meters of string.

Adding these two values together:

3.5 meters + 2.7 meters = 6.2 meters

Flying against the wind, an airplane travels 8910 kilometers in 9 hours. Flying with the wind, the same plane travels 5080 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

The rate of the plane in still air is 1130 km/hr and the rate of the wind is: 140 km/hr

What is the relative wind speed?

Let the speed of plane in still air be p km/hr and wind speed be w km/hr.

The speed of plane with air is (p + w) km/hr and speed of plane against air is (p − w) km/hr

Flying with air: (p + w)⋅4 = 5080

or p + w = 1270  ----(1)

Flying against air: (p − w)⋅9 = 8910

or p − w = 990;(2)

Adding equations (1) & (2) we get,

(p + w) + (p − w) = 1270 + 990

or 2p = 2260

∴ p = 2260/2

= 1130 km/hr.

Putting p = 1130 in equation (1)

we get,

1130 + w = 1270

or

w = 1270 − 1130

w = 140  km/hr.

The speed of plane in still air is 1130 km/hr and wind speed is  140 km/hr.

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pls ansdwer
woth 30 poitnsss

Answers

Answer:

The Correct answer is 1.53m=153cm

Step-by-step explanation:

1m=100cm

1.53m=x

[tex]x = 100 \times 1.53m[/tex]

x=153m

What is the relationship of the two lines?
y=3x-7 y=3x+1

Answers

Answer:

The two lines are parallel to each other.

Step-by-step explanation:

We see that the two lines are both in slope-intercept form, whose general equation is y = mx + b, where

m is the slope,and b is the y-intercept

When two lines have the same slope, they are parallel to each other.

Find the volume of each figure. Round to the nearest hundredth. PLEASE HELP SOON :(

Answers

Answer:

  20579.53 m³

Step-by-step explanation:

You want the volume of a sphere 34 m in diameter.

Volume

The formula for the volume of a sphere is ...

  V = (4/3)πr³ . . . . . where r is half the diameter

In terms of diameter, this is ...

  V = (4/3)π(d/2)³ = (π/6)d³

  V = (π/6)(34 m)³ ≈ 20,579.53 m³

The volume of the sphere is about 20,579.53 cubic meters.

<95141404393>

hello

the answer to the question is:

[tex]p = 2\pi \: r \\ 36 = 2 \times 3.14 \times r \\ r = 5.7 \: m \\ \\ v = \frac{4}{3} \pi {r}^{3} \\ v = \frac{4}{3} \times 3.14 \times {5.7}^{3} \\ = 775.3 \: {m}^{3} [/tex]

8. Consider the D.E. yy'= -x +
1/2
a. Find the implicit general solution of this
equation. What is the condition that c
should satisfied? (c is the constant that
appears in the solution).
b. (T) is the family of curves of the
general solution in an orthonormal
system. What is the nature of this graph?
(such curves are called integral curves of
the D.E.)
c. Find the graph (T) that passes through
the origin O(0, 0).

Answers

The implicit general solution is 0.5y² = -0.5x² + 0.5x + C, here C should pass through the origin of the circle. The family of curves (T)  represents the integral curve. The graph (T) is represented below.

a. To find the implicit general solution of the given differential equation, we can integrate both sides with respect to x. Let's start by rewriting the equation:

yy' = -x + 1/2

Integrating both sides:

∫ yy' dx = ∫ (-x + 1/2) dx

Using integration by parts on the left side, let u = y and dv = y' dx:

[tex]\int u dv = uv - \int v du\\\\y\int dy = \int (-x + 1/2) dx\\\\1/2 y^2 = -1/2 x^2 + 1/2 x + C\\\\0.5y^2 = -0.5x^2+0.5x+C[/tex]

Where C is the constant of integration. This is the implicit general solution of the given differential equation.

b. The family of curves (T) that represents the general solution in an orthonormal system is known as the integral curves of the differential equation.

c. To find the graph (T) that passes through the origin O(0, 0), we substitute the point (x, y) = (0, 0) into the implicit general solution and solve for C:

[tex]1/2(0)^2 = -1/2(0)^2 + 1/2(0) + C\\\\0 = 0 + 0 + C\\\\\C = 0[/tex]

So the graph (T) that passes through the origin is given by:

[tex]1/2 y^2 = -1/2 x^2 + 1/2 x[/tex]

This equation represents the specific curve that satisfies both the differential equation and the condition of passing through the origin.

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Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation.)

t + 2, t<0
F(t) = 2, 0 ≤ t ≤ 2
-t + 4, t > 2

increasing: ____________
decreasing: ___________
constant: ______________

Answers

The Function is increasing (-∞, 0), decreasing (2, ∞), and constant [0, 2].

The intervals on which the function is increasing, decreasing, or constant, we need to analyze the behavior of the function in each interval.

1. Interval t < 0:

In this interval, the function is given by f(t) = t + 2. Since the coefficient of t is positive (1), the function is increasing. Therefore, the interval t < 0 is an interval of increasing values.

2. Interval 0 ≤ t ≤ 2:

In this interval, the function is constant and given by f(t) = 2. The value of the function remains constant at 2 for all values of t in this interval.

3. Interval t > 2:

In this interval, the function is given by f(t) = -t + 4. Since the coefficient of t is negative (-1), the function is decreasing. Therefore, the interval t > 2 is an interval of decreasing values.

To summarize:

Increasing interval: t < 0

Decreasing interval: t > 2

Constant interval: 0 ≤ t ≤ 2

Using interval notation, we can express the intervals as follows:

Increasing interval: (-∞, 0)

Decreasing interval: (2, ∞)

Constant interval: [0, 2]

In interval notation, (a, b) denotes an open interval, which means it includes all values between a and b, but excludes the endpoints. [c, d] denotes a closed interval, which includes both endpoints c and d.

Therefore, the function is increasing on the interval (-∞, 0), decreasing on the interval (2, ∞), and constant on the interval [0, 2].

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insert parenthesis to make each equality true.
1+2*3+4*5=65

Answers

Answer:To make the equality 1+23+45=65 true by inserting parentheses, you can group the numbers and operations in the following way:

(1+2)*(3+4)*5 = 65

This can be calculated as:

3 * 7 * 5 = 65

So, by adding parentheses as (1+2)(3+4)5, the equality 1+23+45=65 becomes true.

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