WILL MARK BRAINLIEST !!! please help and show work !!
Find the equation of the line passing through (1,5) and parallel to y = 3x - 1.

We take a look at the reduction in the area of the bacteria.

In the first hour, its arae is 20cm2. Following that, it reduces 1.25x, to 16. Then another 1.25x, from 16 to 12.8. And another 1.25x, from 12.8 to 10.24.

So, every hour, the bacteria's area reduces by 1.25x
Therefore, in the 5th hour (prediction probably if this is all a coincidence), the bacteria's area will be : 10.24 : 1.25 = 8.192 cm2.

Answer:  slope is −25 - 2 5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

With the help of a ruler and a protractor,

an accurate drawing of the triangle is shown below.

A polygon that has three sides and three vertices is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The two lengths of the triangle are 8 and 7.

And one angle measure is 30°

With the help of a ruler and a protractor,

an accurate drawing of the triangle is shown below.

Therefore, the triangle is shown in the image.

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The x-component of the vector ⃗ is -9.98 and the y-component is 8.53.

We can find the x and y components of the vector ⃗ by using trigonometry. The magnitude of the vector is given as 13.1, and the direction of the vector is 50∘ counter-clockwise from the -axis. We can use the cosine and sine functions to find the x and y components, respectively.

cos(50∘) = -0.6428, sin(50∘) = 0.7660

x-component = magnitude x cos(50∘) = 13.1 x (-0.6428) = -9.98

y-component = magnitude x sin(50∘) = 13.1 x (0.7660) = 8.53

Therefore, the x-component of the vector ⃗ is -9.98, and the y-component is 8.53.

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The x-component of the vector is approximately 8.375 and the y-component is approximately 9.955.

To find the x- and y-components of the vector, we can use trigonometry.

Given that the magnitude of the vector is 13.1 and the direction is 50° counter-clockwise from the - axis, we can determine the x- and y-components as follows:

The x-component (horizontal component) can be found using the formula:

x = magnitude * cos(angle)

x = 13.1 * cos(50°)

x ≈ 8.375

The y-component (vertical component) can be found using the formula:

y = magnitude * sin(angle)

y = 13.1 * sin(50°)

y ≈ 9.955

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answer below

Step-by-step explanation:

4 is the answer

just sub in 2 for x

E

1) Before plotting the solution on the number line, we need to solve this inequality. Looking attentively, we can see that the "a" coefficient is positive.

2) So, let's solve this:

To better explain how could we write the solution like this, let's sketch the parabola and the solutions:

Since we want to know the interval that is greater than or lesser than zero we'll pick the roots and the region that yields negative values.

3) On the number line, we can plot this including both zeroes (closed dots):

Hence, the answer is E

Answer:

10.15

Step-by-step explanation:

47.5-37.35=10.15

Answer:

126/2 = 63^2

Step-by-step explanation:

The Euler method is a first-order method, which means that the local error (error per step) is proportional to the square of the step size, and the global error (error at a given time) is proportional to the step size.

To estimate y(2.5) with step size 0.1 using Euler's Method, we need 5 iterations. The iterative formula is Yn = Yn-1 + hF(xn-1, Yn-1), where F(x, y) = 4y + 3xy. Using this formula and the initial condition Y(2) = 1, the 5 iterations are:

Therefore, the approximation of y(2.5) using Euler's method with step size 0.1 is

.

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)

We can conclude that the reasonable slope of a model that fits the given data is: C. 1.

Slope = change in y/change in x.

To find the slope of that fits the data, pick any two points on the scatter plot, say, (12, 1985) and (16, 1988)

Slope = (1988 - 1985)/(16 - 12) = 0.75 ≈ 1.

Therefore, we can conclude that the reasonable slope of a model that fits the given data is: C. 1.

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Answer:

2nd option is the correct answer

Step-by-step explanation:

\( \huge \: x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ \)

is the correct form of the quadratic formula for the quadratic equation \( ax^2+bx+c=0\)

Answer: 25°F is approximately $375.

Step-by-step explanation:

The scatter plot shows a positive correlation between the average monthly temperature (x) and the family's monthly heating cost (y). The line of best fit appears to be a linear equation, and it can be approximated by the equation y = mx + b, where m is the slope and b is the y-intercept.

(a) One possible equation of the line of best fit for the data is y = 15x + 300. This equation is only an approximation as it is hard to determine the exact line of best fit without more data points.

(b) Using the equation y = 15x + 300, the predicted monthly heating cost for a month with an average temperature of 25°F can be found by plugging in x = 25 into the equation.

y = 15(25) + 300 = 375

Therefore, the predicted monthly heating cost for a month with an average temperature of 25°F is approximately $375.

The estimated slope of the model is -0.5485, with a standard error of 0.3099. The t-value for the slope is -1.77, and the p-value is 0.087. We need to calculate a 95% confidence interval for the slope.

To calculate the confidence interval for the slope, we can use the formula: estimate ± (t-value) * (standard error). Given the estimate of -0.5485 and the standard error of 0.3099, we need to find the t-value corresponding to a 95% confidence level with n-2 degrees of freedom (n = 30 in this case). Checking the t-distribution table, the critical value for a two-tailed test is approximately 2.045. Thus, the margin of error is 2.045 * 0.3099.

Calculating the confidence interval:

Lower bound = -0.5485 - (2.045 * 0.3099)

Upper bound = -0.5485 + (2.045 * 0.3099)

Evaluating the above expressions, we find:

Lower bound ≈ -0.638

Upper bound ≈ -0.459

Therefore, the 95% confidence interval for the slope is approximately (-0.638, -0.459). This means we are 95% confident that the true slope falls within this range, based on the given data.

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The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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To approximate the probability of seeing more than 2 new cases of the rare disease in a year, we need to use a model that can handle a large number of trials (10,000 people in this case) and a small probability of success (0.0007).

The binomial model is not suitable for this scenario because it assumes that the trials are independent and that the probability of success remains constant throughout all trials. In our case, the probability of a person getting the rare disease is very small (0.0007), so the assumption of a constant probability of success is not valid.

Instead, we can use the Poisson model to approximate the probability. The Poisson model is appropriate when the number of events occurring in a fixed interval of time or space follows a Poisson distribution. It is commonly used for rare events and allows for a small probability of success.

In the Poisson model, the parameter λ (lambda) represents the average number of events in the given interval. To compute the approximate probability, we need to find the value of λ.

Given that the probability of a person getting the rare disease is 0.0007 and there are 10,000 people in the town, we can calculate λ as follows:

λ = probability of success * number of trials
λ = 0.0007 * 10,000
λ = 7

Now that we have the value of λ, we can use the Poisson model to approximate the probability of seeing more than 2 new cases in a year. The Poisson probability function is given by:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where P(x; λ) represents the probability of seeing exactly x events in the given interval, e is the base of the natural logarithm (approximately 2.71828), and x! represents the factorial of x.

To compute the probability of seeing more than 2 new cases, we need to calculate the sum of probabilities for x greater than 2. Let's do the calculations:

P(x > 2; λ) = 1 - P(x <= 2; λ)

P(x <= 2; λ) = P(0; λ) + P(1; λ) + P(2; λ)

P(0; λ) = (e^(-7) * 7^0) / 0!
P(1; λ) = (e^(-7) * 7^1) / 1!
P(2; λ) = (e^(-7) * 7^2) / 2!

Now we can substitute these values into the equation to find P(x <= 2; λ).

Once we have P(x <= 2; λ), we can subtract it from 1 to find P(x > 2; λ), which represents the probability of seeing more than 2 new cases in a year.

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Answer:

initial height = 0 feet

height after 2 seconds = 32 feet

takes 3 seconds until ball hits the ground

after 2.5 seconds the ball is at 20 feet

Step-by-step explanation:

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

\(s = \int\limits^4_1 {-32t +96} \, dt\)

\(s(t) = -32t^2/2 +96t\)

\(s =[ -16t^2 +96t] t = 4, t =1\)

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

The code range 400-403 represents **client errors**.

HTTP status codes are used to indicate the status of an HTTP response. The code range 400-403 indicates that the client has made a request that the server cannot process. Some of the most common client errors include:

* **400 Bad Request:** The request was malformed and could not be understood by the server.

* **401 Unauthorized:** The request requires authentication and the client did not provide valid credentials.

* **403 Forbidden:** The client does not have permission to access the requested resource.

In general, client errors are caused by errors in the client's request. The client can usually fix these errors by modifying the request.

Here is a table showing the HTTP status codes in the range 400-403:

| Code | Description |

|---|---|

| 400 Bad Request | The request was malformed and could not be understood by the server. |

| 401 Unauthorized | The request requires authentication and the client did not provide valid credentials. |

| 402 Payment Required | The request requires payment and the client did not provide payment information. |

| 403 Forbidden | The client does not have permission to access the requested resource. |

| 404 Not Found | The requested resource could not be found on the server. |

| 405 Method Not Allowed | The requested method is not supported by the resource. |

| 406 Not Acceptable | The requested resource does not have a format that the client can accept. |

| 407 Proxy Authentication Required | The request requires proxy authentication and the client did not provide proxy credentials. |

As you can see, the code range 400-403 represents a variety of client errors. The specific error code that is returned will depend on the specific error that occurred.

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Answer:

22 hours

Step-by-step explanation:

So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

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The required length of the arc is 5.75 units.

A circular represents 360 degrees. A circular can be split up into smaller sections. An arc is a segment of a circle, and arcs are designated based on their angles. The three types of arcs are semicircles (v = 180°), major arcs (180° v 360°), and minor arcs (0° v 180°).

We have;

∠EFG =30° = π/6

and EF =11 units

To find; length of arc EG.

So, we know that;

∅(Radian) = arc/ radius

π/6 = arc/11

arc = 11π/6

Arc = 5.75 units.

Thus, required length of the arc is 5.75 units.

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Complete question:

Answer:

1000.

Step-by-step explanation:

We need 4 weights where 3 of them add up to

900, 1400, 1600 or 1800g.

Not sure of the method for doing this!

Lets assume that the answer is 1000 g.

Then the  3 that make 1800 could be

1000 500 and 300

- then to make 900 we need a 100g tomato giving:

1000 500 300 and 100 grams

So the 1400 will be the 1000, 300 and 100 tomato

and the 1600 will be 1000, 500 and 100.

That seems to fit !!

Answer:

B: 28pi m^3

Step-by-step explanation:

r = 4/2 = 2 m

h = 7 m

Volume of cylinder

\( = \pi {r}^{2} h \\ \\ = \pi \times {2}^{2} \times 7 \\ \\ = \pi \times 4 \times 7 \\ \\ = 28\pi \: {m}^{3} \)

Answer:

2,375,360

Step-by-step explanation:

Answer:

No it is not always true that a line connecting two points on the same side of a given line will be parallel to that given line

This is so because where the distances of one of the points is closer to the given line than the other point on the same side of the given line, then along a line that connects the two points, there will be points that are closer than the given two points to the given line as we move further down between the given line and the line connecting the two points

Therefore, the given line and the line drawn connecting the two points are not parallel because all points between both lines are not equidistant but rather tapered as both lines progress

Step-by-step explanation:

Answer:

First of all. On that page, theres 5 sisters. Gabby is included. so not 4, 5.

Step-by-step explanation: