suface areas- cones
wdh

Answer:

its C cause when it said permit plus $15 for each member in the family they mention by C

Answer:

Step-by-step explanation:

3.5 x -3n + 3.5 x 4 =

-10.5n + 14

Hope that helps!

Answer:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.  

The hourly rate drops further to $1 per hour between the 6th and 10th  hours.

The maximum price of the bike rental is $30.

Step-by-step explanation:

The slope of the graph corresponds to the hourly rate for the bike rental.

During the first three hours of the bike rental, the price increases by $4 each hour.

Between the 3rd  and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.

Between the 6th and 10th hours, the rate is $1 per hour.

After the 10th  hour, the price, P, stops increasing. The maximum price of the bike rental is $30.

Answer:

Is this just spam?

Step-by-step explanation:

If you need help let me know.

The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

Step-by-step explanation:

400x2% of that amont would equal 800

Answer:

I believe the answer would be 4

Step-by-step explanation:

I'm going to use (a) to represent the side length in my explanation. side length is equivalent to the square root of the surface area over 6. The 6 is coming from there being 6 faces on a cube. So to solve this equation, you would first write it out.  a=96/6. Next you would divide 96/6, giving you 16. and then lastly, you would find the square root of 16, which is 4. giving you a final answer of 4.

Hope this helps, and you understand it more!

Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

Answer: 32w

Step-by-step explanation:

Answer: 88 units

Step-by-step explanation:

So the length is 8 units and the width is 11

The equation for perimeter is L x W

8 x 11 = 88

Answer is 88 units

Step-by-step explanation:

Sketh the graph of each linear inequality

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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The correct option from the given options is (e) The straight line y = 3 - 2t.

Given: x(t) = 1 - t and y(t) = 3 - 2t

The parametric curve is represented as (x(t), y(t))

For x(t) = 1 - t and y(t) = 3 - 2t

Thus the parametric curve is given as: (1 - t, 3 - 2t)

We can observe that the straight line y = 3 - 2t represents the given parametric curve C.

Hence, the correct option is (e) The straight line y = 3 - 2t.

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The expression equivalent to the given expression  -2(3x + 5y) is

given that

-2(3x + 5y)

expanding the parenthesis

-6x - 10y = 0

10y = 6x

y = 6x/10

y = 3x / 5

we can conclude that y = 3x/5 is equivalent to  -2(3x + 5y)

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Answer:

Step-by-step explanation:

circumference = \(2\pi r\)

16 \(\pi\) = 2\(\pi\)r

Solve for r by dividing both sides by 2\(\pi\)

8 = r.

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Probability is a measure of the likelihood or chance of an event occurring.

a. To find the percentage of years where Ithaca gets more than 40" of rain, we need to calculate the z-score for this value and then use a standard normal table to find the percentage. The z-score is:

z = (40 - 35.4) / 4.2 = 1.33

From a standard normal table, we find that the percentage of values above z = 1.33 is approximately 9.87%. Therefore, during about 9.87% of years, Ithaca gets more than 40" of rain.

b. To find the value of rainfall corresponding to the driest 20% of years, we need to calculate the z-score for the 20th percentile and then convert it back to rainfall units. The z-score is:

z = invNorm(0.20) = -0.84

where invNorm is the inverse normal function. Therefore,

-0.84 = (x - 35.4) / 4.2

Solving for x, we get:

x = 32.2"

So less than 32.2" of rain falls in the driest 20% of all years.

c. Since the sample size n = 4 is small and the population standard deviation is unknown, we need to use the t-distribution to describe the sampling distribution model of the sample mean. However, since the sample size is small, we also need to assume that the population follows a normal distribution.

Under these assumptions, the sampling distribution of the sample mean is approximately normal with a mean of μ = 35.4" and a standard error of σ/√n = 4.2/√4 = 2.1". Therefore, the sampling distribution of the sample mean is:

t(3, 35.4, 2.1)

where t denotes the t-distribution, 3 is the degrees of freedom (n - 1), 35.4 is the mean, and 2.1 is the standard error.

d. To find the probability that the 4-year average is less than 30", we need to calculate the z-score for this value and then use the t-distribution with 3 degrees of freedom to find the probability. The z-score is:

z = (30 - 35.4) / (4.2 / √4) = -2.57

Using a t-table or calculator with 3 degrees of freedom, we find that the probability of a t-value less than -2.57 is approximately 0.041. Therefore, the probability that those 4 years average less than 30" of rain is approximately 0.041 or 4.1%.

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Answer:

the answer is -24a^2b^3

The measure of angle FBE is 14x + 6

The angles are given as:

Angle FBC = 10x-9

Angle CBE = 4x+15

The measure of angle FBE is calculated as:

Angle FBE = Angle FBC + Angle CBE

Substitute the known values in the above equation

Angle FBE = 10x - 9 + 4x + 15

Collect the like terms

Angle FBE = 10x  + 4x - 9 + 15

Evaluate the sum and the difference

Angle FBE = 14x + 6

Hence, the measure of angle FBE is 14x + 6

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Answer:

3/4

Step-by-step explanation:

ok so im really bad at explaining but ill try my best.

so since its asking you to fiure out how much he watched in total, youre going to have to add.

for one of the videos he watched 5/8 mins and for the other 1/8 mins.

5/8 + 1/8= 6/8

and since its asking for its simplest form youre gong to have to simplify it

6/8=3/4

i hoped this helped :)

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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We can use the initial condition y(0) = -3 to solve for the constant C. Plugging in t = 0 and y = -3 into the above equation.

To solve the given differential equation, we can use the method of integrating factor.

The given differential equation is: dy/dt - 2ty = \(12t^2\times e^(t^2)\)

First, we identify the integrating factor (IF), which is given by the exponential of the integral of the coefficient of y. In this case, the coefficient of y is -2t, so we integrate -2t with respect to t:

IF = e^∫(-2t)dt

IF = e^(-t^2)

Next, we multiply the entire differential equation by the integrating factor:

\(e^(-t^2)\times (dy/dt - 2ty) = e^(-t^2) \times 12t^2\times e^(t^2)\)

This simplifies to:

\(e^(-t^2) \times dy/dt - 2ty \times e^(-t^2) = 12t^2\)

Now, we can integrate both sides of the equation with respect to t. Integrating the left-hand side (LHS) requires integration by parts, while the right-hand side (RHS) can be integrated directly:

∫(e^(-\(t^2\)) \(\times\) dy/dt) dt - ∫(2ty \(\times\) e^(-\(t^2\))) dt = ∫(12\(t^2\)) dt

Using integration by parts on the LHS with u = e^(-\(t^2\)) and dv = dy/dt dt, we get:

e^(-\(t^2\)) \(\times\)y - ∫(e^(-\(t^2\)) \(\times\) y') dt - ∫(2ty \(\times\) e^(-\(t^2\))) dt = 12\(t^3\) / 3 + C

where C is the constant of integration.

Rearranging the equation and simplifying, we get:

e^(-\(t^2\)) \(\times\) y - ∫(e^(-\(t^2\)) \(\times\) y') dt - 2∫(ty \(\times\) e^(-\(t^2\))) dt = 4\(t^3\) + C

Now, we can integrate the remaining integrals. For the second term on the left-hand side, we use u = t and dv = y \(\times\) e^(-\(t^2\)) dt, and for the third term on the left-hand side, we use u = y and dv = t \(\times\) e^(-\(t^2\)) dt. This gives us:

e^(-\(t^2\)) \(\times\) y - (y \(\times\) e^(-\(t^2\))) - (e^(-\(t^2\))\(\times\) t \(\times\) y) = 4\(t^3\) + C

Combining like terms and multiplying both sides by e^(t^2) to eliminate the exponential factor, we get:

y - y \(\times\) e^(-\(t^2\)) - t \(\times\) y = 4\(t^3\) \(\times\) e^(\(t^2\)) + C \(\times\) e^(\(t^2\))

Factoring out y on the left-hand side and simplifying, we get:

y \(\times\) (1 - e^(-\(t^2\)) - t) = 4t^3 \(\times\)e^(\(t^2\)) + C \(\times\)e^(\(t^2\))

Finally, dividing both sides by (1 - e^(-\(t^2\)) - t) to isolate y, we get:

y(t) = (4\(t^3\) \(\times\) e^(\(t^2\)) + C \(\times\) e^(\(t^2\))) / (1 - e^(-\(t^2\)) - t)

Now, we can use the initial condition y(0) = -3 to solve for the constant C. Plugging in t = 0 and y = -3 into the above equation.

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The total surface area painted is 644.16 square inches.

Let the radius of the cylindrical rod be r. The circumference of the base is given as 12π, which can be converted to the diameter as:

diameter = circumference / π = 12π / π = 12 inches.

So, the radius of the cylindrical rod is half of that. That is 6 inches.

The area of one base of the cylindrical rod can be calculated as π \(r^2\), which is:

π * \(6^2\) = 3.14 * 36 = 113.04 square inches.

The surface area of one-half of the cylindrical rod can be calculated by:

2 * π * r * l + 2 * π * \(r^2\), where l is the length of the rod.

Since the length of the rod is 4 inches, the surface area of one-half of the cylindrical rod can be calculated by:

2 * π * 6 * 4 + 2 * 113.04 = 96 + 226.08 = 322.08 square inches.

Given that two equally sized pieces are cut, the total surface area painted would be 2 * 322.08 = 644.16 square inches.

Therefore, the total surface area painted is 644.16 square inches.

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Answer:

4/11, 3, 17/5, 3.421, 3.48

Step-by-step explanation:

4/11 = 0.36363636(repeating)

17/5 = 3.4

4/11 is the smallest given that is is not even 1

3 is smaller than 17/5, an easy way to know that is to simply 17/5 where it equals 3.4

17.5 or 3.4 is slightly smaller than 3.421, it is exactly 0.021 smaller than 3.421

3.421 is smaller than 3.48

least is 4/11 and greatest is 3.48, the in between numbers are all placed correctly in the answer section

Answer:

The answers from least to greatest are 3.36, 3.4, 3.421, 3.48

Step-by-step explanation:

17/5= 3 2/5, 3 2/5 = 3.4

3 4/11 = 3.36

3.421 stays the same

3.48 stays the same

I hope this helps and have a wonderful day!

The required answer is the taxpayer's gross annual salary is approximately $49,249.19

Explanation:

To calculate the taxpayer's gross annual salary based on their annual Social Security tax, you can follow these steps:

1. Identify the Social Security tax rate. As of 2021, the rate is 12.4% (6.2% from the employee and 6.2% from the employer).

2. Divide the annual Social Security tax by the tax rate to find the gross annual salary. In this case, the tax is $6,107.

3. Calculate the gross annual salary using the formula: Gross Annual Salary = (Annual Social Security Tax / Social Security Tax Rate)
Based on the given information that a taxpayer’s annual Social Security tax is $6,107, we can calculate their gross annual salary by using the Social Security tax rate and maximum taxable income. As of 2021, the Social Security tax rate is 12.4% and the maximum taxable income is $142,800. Therefore, we can divide the Social Security tax by the tax rate to get the taxpayer’s gross annual salary: $6,107 / 0.124 = $49,200 Therefore, the taxpayer’s gross annual salary is $49,200
Here's the calculation:

Gross Annual Salary = $6,107 / 0.124
Gross Annual Salary = $49,249.19

The taxpayer's gross annual salary is approximately $49,249.19.

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product of two perpendicular line slopes must equals - 1 ;

As you know the coefficient of x is the slope of the line

Thus if we suppose that line has a slope of m , we have :

m × 2 = - 1

m = - 1 / 2

__________________________________

y = ax + b

y = - 1 / 2 x + b

The line passes through the point ( - 2 , - 2 ) thus :

- 2 = - 1 /2 × ( - 2 ) + b

- 2 = 1 + b

b = - 3

__________________________________

y = - 1/2 x - 3

Which mean the option c is the correct answer.

Answer:

y = -1/2(x) - 4

Step-by-step explanation:

\(y=-\frac{1}{2}(x)-4\)