Find the radius of (x - 3)^2 + (y + 1)^2 = 9
(x + 5)^2 + (y + 2)^2 = 36

Step-by-step explanation:

125°/360°×π×15²

=245.44cm²

Answer:

C. 8\14 can of soda

Step-by-step explanation:

Given the following data;

Number of soda = 8 cans

Number of people = 14 people

To find the number of soda each person gets;

\( Each \; person = \frac {number \; of \; soda}{number \; of \; people} \)

\( Each \; person = \frac {8}{14} \)

Therefore, the fraction of a can of soda each person would receive is 8\14 can of soda.

Answer:

29

Step-by-step explanation:

because I do math for funnnnnsnnsnsnssn

Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ9

Given the information that u and v are vectors in ℝ⁵, ||v|| = 3, ||2u + v|| = √17, and ||u − v|| = √17, we are asked to find the magnitude of ||u − 2v||.

Let's use the properties of vector norms to find the magnitude of ||u − 2v||. We can start by expanding ||u − 2v|| as follows:

||u − 2v|| = √((u - 2v) · (u - 2v))

Using the properties of the dot product, we can expand further:

||u − 2v|| = √(u · u - 4(u · v) + 4(v · v))

Given the magnitudes provided, we have ||u − v|| = √17, which implies:

(u · u - 2(u · v) + v · v) = 17

Similarly, from ||2u + v|| = √17, we have:

(4(u · u) + 4(u · v) + v · v) = 17

By subtracting the first equation from the second equation, we can eliminate the terms involving (u · u) and (v · v), resulting in:

3(u · u) = 0

Since the dot product of a vector with itself yields the square of its magnitude, we have (u · u) = ||u||². Since ||u|| is a non-negative value, the only way for (u · u) to be zero is if ||u|| = 0. Therefore, we conclude that u must be the zero vector.

As a result, ||u − 2v|| reduces to ||-2v|| = 2||v|| = 2(3) = 6.

Therefore, ||u − 2v|| is equal to 6.

To learn more about vector click here:

brainly.com/question/24256726

#SPJ11

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Search

math antics solving 2 step equations

this is a video that could probably help you

Answer:

Step-by-step explanation:

Option 1 is better. 12% of $300 is $36, so even in just the first year, it grows by $6 more than if they picked the other option. I hope this helps :)

The correct option is B is correct that is by setting access to private on the class fields using the correct notation.

Given that,

Data hiding refers to the protection of sensitive data from outside code for an object. This is achieved using Options

A) Making use of the class methods' private access specifier.

B) By setting access to private on the class fields using the correct notation.

C) Using the class methods' public access specifier.

D) Using the class definition's private access specifier.

Whichever choice is accurate must be determined.

We know that,

The private modifier limits access to a class's methods or properties from any code that is outside the class, but the public access modifier permits a code from inside or outside the class to access the class's methods and properties.

Therefore, The correct option is B is correct that is by setting access to private on the class fields using the correct notation.

To learn more about private visit: https://brainly.com/question/29341046

#SPJ4

Answer:

3=2n

Step-by-step explanation:

Formula: Tn=T1+(n-1)*d

Tn is the nth term

T1 is the first number of the sequence

n is the nth term as well

D is the common difference

now its Tn=5+(n-1)*2

now solve that so its

Tn=5+2n-2

now its

Tn=3+2n

that's it

(a) According to Neyman-Pearson's lemma, the rejection region of the type I error rate (α) for testing H0: θ = θ0 against HA: θ = θA, where θ0 < θA, is given by:

{X: f(x; θA) / f(x; θ0) > k}

where f(x; θ) is the probability mass function (PMF) of the distribution of the data, given the parameter θ, and k is chosen such that the type I error rate is α.

For this problem, we have H0: p = 0 and HA: p > 0.4, with α = 0.05. Therefore, we need to find the value of k such that P(X ∈ R | H0) = α, where R is the rejection region.

Using the fact that X follows a binomial distribution with n trials and success probability p, we have:

f(x; p) = (n choose x) * p^x * (1-p)^(n-x)

Then, the likelihood ratio is:

L(x) = f(x; pA) / f(x; p0) = (pA / p0)^x * (1-pA / 1-p0)^(n-x)

We want to find k such that:

P(X ∈ R | p = p0) = P(L(X) > k | p = p0) = α

Using the distribution of L(X) under H0, we have:

P(L(X) > k | p = p0) = P(X > k') = 1 - Φ(k')

where Φ is the cumulative distribution function (CDF) of a standard normal distribution, and k' is the value of k that satisfies:

(1 - pA / 1 - p0)^(n-x) = k'

k' can be found using the fact that X ~ Bin(n, p0) and P(X > k') = α, which yields:

k' = qbinom(α, n, 1-pA/1-p0)

Therefore, the rejection region R is given by:

R = {X: X > qbinom(α, n, 1-pA/1-p0)}

(b) We have n = 20, p0 = 0.45, pA = 0.65, and X = 11. Using the rejection region R defined in part (a), we have:

R = {X: X > qbinom(0.05, 20, 1-0.65/1-0.45)} = {X: X > 12}

Since X = 11 is not in R, we fail to reject H0 at the 5% level of significance.

(c) The p-value is the probability of observing a test statistic as extreme as the one computed from the data, assuming H0 is true. For this problem, the test statistic is X = 11, and we want to find the probability of observing a value as extreme or more extreme than 11, under the null hypothesis H0: p = 0. Using the binomial distribution with p = 0.45, we have:

p-value = P(X >= 11 | p = 0) = 1 - P(X <= 10 | p = 0)

= 1 - pbinom(10, 20, 0.45)

= 0.151

Therefore, the p-value is 0.151, which is greater than the level of significance α = 0.05, so we fail to reject H0.

Answer:

We must move the graph of y = x down by 8 units to generate the graph of y = x - 8. This may be accomplished by subtracting 8 from the y-coordinates of all the spots on the y = x graph.

For example, the point (0,0) on the y = x graph will change to (0, -8) on the y = x - 8 graph. Similarly, the point (1,1) on the y = x graph will shift to (1, -7) on the y = x - 8 graph, and so on for all other points on the graph.

As a result, the graph of y = x - 8 will be similar to the graph of y = x, but 8 units lower.

Answer:

Step-by-step explanation:

We start by developing an equation for Line 1, and then use that to find the equation for Line 2.  We'll use the form of an equation for a straight line:

 y = mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

Line 1

Determine the slope, m, by calculating the "Rise/Run" between the two points (-3,-7) and (5,3).

Line up the two points from left to right (based on x) and then calculate:

  Rise:  (3 - (-7)) = 10

   Run:  (5 -(-3) = 8

The slope, m, is Rise/Run or (10/8)

The equation becomes y = (5/4)x + b

We could calculate b, the y-intercept, by entering one of the two given points and solving for b, but the only thing we need from this line is it's slope, m.  Slope is (5/4), which we'll use in the next step:  Line 2.

[Note:  Out of curiosity, here is the calculation for b:  Use point (5,3) in y = (5/4)x + b and solve for b.   3 = (5/4)*5 + b.  3 = (25/4) + b  b = -13/4.  This means that Line 1 is y = (5/4)x -(13/4)]

Line 2

The slope of a line perpendicular to the first is the "negative inverse" of the first line.  In this case, line 1's slope of (13/8) would become a slope of -(8/13) for line 2.

    Line 2:  y = -(8/13)x + b

We'll calculate b for this line by enetering the single point provided,  (-4,-2), and solving for b:

          y = -(8/13)x + b

        -2 = -(8/13)*(-4) + b

          -2 = (32/13) + b

          -2 - (32/13) =  b

b = -(26/13) - (32/13)

b = -(58/13)

The new line perpendicular to Line 1 and passing through (-4,-2) is:

          y = -(8/13)x -(58/13)

See attached graph.

The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.

1. First, find the value of n by using the equation 5(n - 3) = 75 + 3

2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.

3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.

The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

According to the given information, (yn) is convergent.

What is the convergence and divergence of the sequence?

Convergence: A sequence approaches a fixed number as the number of terms increases.

Divergence: A sequence does not approach a fixed number as the number of terms increases.

Yes, (yn) is convergent.

Since (xn) is a convergent sequence, it has a limit L, which means that for any ε > 0, there exists an N such that |xn - L| < ε for all n ≥ N.

Now, let ε > 0 be given. Then, there exists an M such that |xn - yn| < ε for all n ≥ M.

Combining these two inequalities, we have:

|yn - L| = |yn - xn + xn - L|

≤ |yn - xn| + |xn - L|

< ε + ε (for all n ≥ M)

Therefore, we have shown that for any ε > 0, there exists an M such that |yn - L| < 2ε for all n ≥ M.

Since 2ε can be made arbitrarily small by choosing ε small enough, this implies that (yn) converges to L, the limit of (xn).

Hence, (yn) is also convergent.

To know  more about convergent and divergent sequences visit:

brainly.com/question/15415793

#SPJ4

Answer:

19

Step-by-step explanation:

According to the equation we have After simplifying, the equation in spherical coordinates is: 5ρ^2 - 3ρ sin(θ) cos(φ) = 0 .

To write the given equation in spherical coordinates, we first need to express x, y, and z in terms of rho (ρ), theta (θ), and phi (φ), which are the spherical coordinates.

We know that:

x = ρsinφcosθ
y = ρsinφsinθ
z = ρcosφ

Substituting these values in the given equation, we get:

5(ρsinφcosθ)² - 3(ρsinφcosθ) + 5(ρsinφsinθ)² + 5(ρcosφ)² = 0

Simplifying further, we get:

5ρ²sin²φcos²θ + 5ρ²sin²φsin²θ + 5ρ²cos²φ - 3ρsinφcosθ = 0

Now, we can use the trigonometric identities:

sin²θ + cos²θ = 1
sin²φ + cos²φ = 1

Substituting these in the equation, we get:

5ρ²sin²φ + 5ρ²cos²φ - 3ρsinφcosθ = 0

To rewrite the given equation 5x^2 - 3x + 5y^2 + 5z^2 = 0 in spherical coordinates, we need to use the conversions:

x = ρ sin(θ) cos(φ)
y = ρ sin(θ) sin(φ)
z = ρ cos(θ)

Substitute these conversions into the equation:

5(ρ sin(θ) cos(φ))^2 - 3(ρ sin(θ) cos(φ)) + 5(ρ sin(θ) sin(φ))^2 + 5(ρ cos(θ))^2 = 0

After simplifying, the equation in spherical coordinates is:

5ρ^2 - 3ρ sin(θ) cos(φ) = 0

To know more about Spherical  visit :

https://brainly.com/question/23493640

#SPJ11

Mathematical approaches to aggregate planning involve using quantitative methods to determine the optimal production and resource allocation strategies over a specified planning horizon. These approaches utilize mathematical models to optimize various factors such as production costs, inventory levels, and customer demand.

One mathematical approach to aggregate planning is linear programming, which formulates the planning problem as a linear optimization model. Linear programming considers constraints such as capacity limits, labor availability, and demand variability to find the best allocation of resources and production levels. The objective is to minimize costs or maximize profit while meeting demand requirements.

Another approach is the use of mathematical forecasting techniques to predict future demand. Time series analysis, regression analysis, and other statistical methods can be employed to forecast demand patterns. These forecasts serve as inputs to mathematical models, such as inventory control models or production planning models, which determine the optimal production levels and inventory policies based on the anticipated demand.

Simulation modeling is another mathematical approach where computer-based simulations are used to evaluate different scenarios and make decisions about production levels, inventory levels, and workforce scheduling. These models consider various factors like demand variability, production capacity, and resource availability to simulate the system's behavior and analyze the impact of different planning strategies.

Overall, mathematical approaches to aggregate planning provide a systematic and quantitative way to optimize production and resource allocation decisions, considering factors such as demand, capacity, costs, and constraints. These approaches help organizations make informed decisions to meet customer demand efficiently while minimizing costs and maximizing operational performance.

Learn more about quantitative here:

https://brainly.com/question/32236127

#SPJ11

Answer:

-4

-1

2

5

8

Step-by-step explanation:

The inverse Laplace transform of F(s) = e'(3-2s)/(s²+25) is f(t) = H(t-1)(3cos(5t-5) - (2/5)sin(5t-5)).

To find the inverse Laplace transform of F(s) = e'(3-2s)/(s²+25), we apply the inverse Laplace transform to each term separately. Using the properties of the Laplace transform, the inverse Laplace transform of e'(3-2s)/(s²+25) is given by f(t) = H(t-1)(3cos(5t-5) - (2/5)sin(5t-5)), where H(t) is the Heaviside step function.

The inverse Laplace transform of the exponential term e'(3-2s) is represented by the cosine and sine functions in the time domain. The Heaviside step function H(t-1) ensures that the function is only non-zero for t > 1. The resulting function f(t) represents the inverse Laplace transform of F(s).

Therefore, the inverse Laplace transform of F(s) is f(t) = H(t-1)(3cos(5t-5) - (2/5)sin(5t-5)).

To learn more about inverse Laplace transform click here:

brainly.com/question/30404106

#SPJ11

Answer:

6

Step-by-step explanation:

There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.

Answer:

Deleted account

Step-by-step explanation:

Here 3x-12y-216=0

Reducing into slope intercept form

-12y= -3x + 216

12y = 3x - 216

Which is in the form of, y = mx + c

Slope (m) = 3

Step-by-step explanation:

Answer:

Slope (m) = 3

Step-by-step explanation:

Here 3x-12y-216=0

Reducing into slope intercept form

-12y= -3x + 216

12y = 3x - 216

Which is in the form of, y = mx + c

Slope (m) = 3

If the initial population is 3800. The population of cockroaches after 3 years will be 1603.

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, there is exponential growth happening by r fraction or r%.

If there is a minus sign, there is exponential decay happening by r fraction or r%.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

The population of cockroaches after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Hence, the population of cockroaches after 3 years will be 1603.

Read more about exponential growth :

https://brainly.com/question/26106075

#SPJ4

The complete question is:

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

Know more about bottleneck  here,

https://brainly.com/question/32590341

#SPJ11

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

Learn more about Regression analysis here:

https://brainly.com/question/31860839

#SPJ11