can you guys help me please or you can just explain how to solve it thanks

Answer:

\(y=\dfrac{1}{3}x-6\)

Step-by-step explanation:

Slope intercept form: y = mx + b

\(y + 4 = \dfrac{1}{3}(x -6)\\\\y + 4 = \dfrac{1}{3}x - \dfrac{1}{3}*6\\\\y + 4 =\dfrac{1}{3}x - 2\\\\y = \dfrac{1}{3}x - 2 - 4\\\\y =\dfrac{1}{3}x - 6\)

Answer:

1.02 x 10^6 Scientific notation is when a number between 1 and 10 is multiplied by a power of 10. 10.2 is bigger than 10

Step-by-step explanation:

y Because the number is notation is larger than 10, you have to divide it by ten and add one to the 10^5

Answer:

yes

Step-by-step explanation:

Answer:

The graph and equation both match and are a function. there is one specific output fro each input

Step-by-step explanation:

a) 3^2(3+1) = 9 x 4 = 36

b)

if the number is even, then its square is even, same goes for odd but its square is odd

n+1 is odd for a even number and vise versa

as long as there's one even number when you times, the answer is even

odd: odd x even

even: even x odd

In this state, 88.3% of snapping turtles are legal to keep, and 11.7% are considered illegal to keep.

Explanation:

In this state, the percentage of snapping turtles that are legal to keep can be calculated using the z-score formula

: Z = (X - μ) / σ,

where X is the length requirement,

μ is the average length, an

d σ is the standard deviation.

1. Calculate the z-score for 25 inches: Z = (25 - 32.5) / 6.3 = -7.5 / 6.3 ≈ -1.19
2. Use a z-table to find the percentage: P(Z < -1.19) ≈ 0.117
3. The percentage of snapping turtles that are legal to keep is 100% - 11.7% = 88.3%.

In this state, 88.3% of snapping turtles are legal to keep, and 11.7% are considered illegal to keep.

For the department of natural resources to restrict fishing so that only the top 10% of snapping turtles are allowed to be kept, we need to find the minimum length that corresponds to the top 10% of the population.

1. Find the z-score corresponding to the top 10%: Using a z-table, we find that the z-score is approximately 1.28.
2. Use the z-score formula to find the minimum length: X = μ + Z * σ = 32.5 + 1.28 * 6.3 ≈ 40.56 inches.

The department of natural resources should set a minimum length of approximately 40.56 inches to only allow fishermen to keep snapping turtles in the top 10% of size.

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Answer:

what?? what is your question

Step-by-step explanation:

Answer: 1.2

Step-by-step explanation: Simply divide 18 by 15, and you will get 18/15=1.2

a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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Answer:

118

Step-by-step explanation:

inscribed angle = 1/2 intercepted arc, therefore an intercepted arc is twice its inscribed angle

\(59 \times 2 = 118\)

Answer:

\(f(x)=\frac{3}{125} * 25^x\)

Step-by-step explanation:

Given

\(f(x)=3*5^{2x-3}\)

Required

To determine if it is an exponential function, we have to write in form of

\(f(x) = ab^x\)

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

\(f(x)=3*5^{2x-3}\)

Apply Law of indices

\(f(x)=3*\frac{5^{2x}}{5^3}\)

Express 5^3 as 125

\(f(x)=3*\frac{5^{2x}}{125}\)

Factorize the exponent of 5

\(f(x)=3*\frac{5^{(2)x}}{125}\)

Express 5^2 as 25

\(f(x)=3*\frac{25^x}{125}\)

This can be rewritten as:

\(f(x)=\frac{3}{125} * 25^x\)

By comparing the above to \(f(x) = ab^x\)

We have that

\(a = \frac{3}{125}\)

\(b^x = 25^x\)

Since, we've be able to express the function as \(f(x) = ab^x\)

Then, \(f(x)=3*5^{2x-3}\) is an exponential function

The expression in exponential form is expressed as \(g(x)=\frac{3}{125} \cdot 25^x\). Option C is correct.

Given the equation \(f(x) = 3\cdot 5^{2x-3}\), we are to write in the form \(a(b)^x\)

Simplifying the given expression, we will have:

\(g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x\)

Hence the expression in exponential form is expressed as \(g(x)=\frac{3}{125} \cdot 25^x\)

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After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

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Answer:

700%

Step-by-step explanation:

The study of statistics rests on two major​ concepts probability which  is the branch of mathematics that deals with the likelihood of events occurring and Data Analysis is the process of examining and interpreting data in order to gain insights and make better decisions

Probability theory is based on the idea that, given enough data, the frequency of an event can be predicted and allows for the formulation of mathematical models that can quantify the likelihood of particular outcomes. Probability is the foundation of statistics and helps to explain the behavior of chance events.It involves the collection, organization, and analysis of data from a variety of sources, such as survey responses, observations, experiments, or existing databases.

Data analysis is used to identify patterns and relationships in data, draw conclusions, and make decisions. It is an important part of statistics, as it helps to uncover insights that would otherwise remain hidden. Data analysis tools, such as statistical models, can be used to gain greater insight into the data.

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Since Melissa deposited $1,200 in a certificate of deposit account that earns 3.2% interest applied at the end of each year, the correct calculation predicting the amount of money, y, (future value) in Melissa's account at the end of four years is 3) 1200(1.032)⁴.

The future value represents the present value or investment compounded at an interest rate into the future.

The future value can be computed using the future value formula, FV = P (1 + r)^n, as follows:

FV = 1200(1.032)⁴

= $1,361.13

The future value can also be computed using an online finance calculator as follows:

N (# of periods) = 4 years

I/Y (Interest per year) = 3.2%

PV (Present Value) = $1,200

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,361.13

Total Interest = $161.13

Thus, we can conclude that Melissa's CD account will be worth a future value of $1,361.13 in four years.

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Answer:

BC = 18.7

Step-by-step explanation:

Here, we want to solve the triangle using the law of sines

According to the law, the ratio of the measure of the side of a triangle and the sine of the angle that faces the side is a constant for all sides of the triangle

Mathematically;

a/sin A = b/sin B = c/sin C

with reference to this particular triangle, we have it that;

20/sin 80 = BC/ sin 67

BC = 20 * sin 67/sin 80

BC = 18.7

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

C

Step-by-step explanation:

this is quite confusing

t distributions tend to be flatter and more spread out than the normal distribution.

This is due to the fact that in the formula, the denominator is s rather than σ.

The distribution of the sample mean is normal if some samples are taken from a normal population with known variance. However, if the population variance is unknown, the distribution is not normal but Student-t with long tails. This means that sample means tend to be extreme when the population variance is unknown. Using the normal distribution instead of the t distribution to test the hypothesis increases the chance of error.

Note that there is a different t-distribution for each sample size. That is, the class of distributions. When talking about a particular t-distribution, we need to specify the degrees of freedom. The degrees of freedom for this t-statistic is given by the sample standard deviation s in the denominator of Equation 1. The spread is larger than the standard normal distribution. This is because the denominator of equation (1) is s, not σ. Because s is a random variable that changes from sample to sample, t becomes more volatile and more spread out.

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Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

The value of line integral is: 73038

A line integral is any integral that is evaluated over a path. There are several ways to go about evaluating a line integral. Since our path is a simple line segment.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t × 2 = 2t  

y(t) = (1-t)0 + t × 3 = 3t

z(t) = (1-t)0 + t × 4 = 4t

We have to differentiation w.r.t "t"

x'(t) = 2

y'(t) = 3

z'(t) = 4

The given line integral is:

\(\int\limits_C {xe^y^z} \, ds=\int\limits^1_0 2te^1^2^t^2\sqrt{2^2+3^3+4^2} \, dt\\\\ds = \sqrt{2^2+3^3+4^2} dt\)

Now, We have to solve the integration and we get :

\(\int\limits_C {xe^y^z} \, ds=\frac{\sqrt{29} }{12} (e^1^2-1)\)

=> 73037.99 ≈ 73038

Hence,  the value of line integral is, 73038.

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Answer:

y = -x+8

Step-by-step explanation:

Answer:

  (B)  A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

Step-by-step explanation:

You want a description of the graph showing the proportional dependency of cost on weight if a couple of (weight, cost) points are (25, 22.25) and (41, 36.49).

The independent variable is weight, so the x-axis will be labeled Weight (in pounds). The dependent variable is cost, so the y-axis will be labeled Cost (in dollars). The two given points can be plotted on the graph.

The description from the available answer choices is ...

A line from (0, 0) going through (41, 36.49) where the x-axis is labeled Weight (in pounds) and the y-axis is labeled Cost (in dollars)

<95141404393>

Answer:

the correct answer is (-5)(-9) or A for short

Step-by-step explanation:

Answer:

E=$19.307

Step-by-step explanation:

Total number of cards = 52

If you win then you will get $50

If you lose then you will give him $20

Therefore the probability

\(P(first\ card\ is\ face\ card)=\dfrac{12}{52}\)

\(P(Second\ card\ is\ face\ card)=\dfrac{11}{51}\)

\(P(Third\ card\ is\ face\ card)=\dfrac{10}{50}\)

Thus the probability for all the three cards are face card

\(P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}\)

P=0.0099

Thus the probability for all the three cards are not face card

P=1-0.0099=0.9901

P=0.9901

Therefore , expected value

\(E=20\times 0.9901-50\times 0.0099\)

E=$19.307

Therefore the answer will be $19.307.

5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.

5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.

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Answer:

4

Step-by-step explanation:

Answer:2/3

Step-by-step explanation:

Answer:

To calculate the fraction by which the income from sales decreases in August, we first need to calculate the total income from sales in July and August.

Let's assume that the laptop was sold at a price of $P in July, and the number of laptops sold was N.

So, the total income from sales in July would be I1 = P*N.

In August, the price of the laptop was 113% of P, which means the new price was (113/100)*P = 1.13P. Also, the number of laptops sold in August was 5 more than in July, which means the number of laptops sold in August was N+5.

So, the total income from sales in August would be I2 = 1.13P*(N+5) = 1.13PN + 5.65P.

Now, to find the fraction by which the income from sales decreases in August, we need to calculate the ratio of the income in August to the income in July:

I2/I1 = (1.13PN + 5.65P)/(PN) = 1.13 + 5.65/P.

The fraction by which the income from sales decreases in August is the difference between 1 and this ratio:

1 - (1.13 + 5.65/P) = (P - 1.13P - 5.65)/P = (0.87P - 5.65)/P.

So, the income from sales decreases in August by a fraction of (0.87P - 5.65)/P.

Given continuous random variable X, and its probability density function  as \(f(x) = \left \{ {k(1-(x-3)^2 \ \ \ {2 < x < 4} \atop {0 \ \ \ \ \ \ \ \ \ \ \ \ otherwise}} \right.\), k comes out to be 0.75

A random variable is said to be continuous if it assumes a value that falls between a particular interval.

The integration of probability density function of a continuous random variable in the given interval always comes out to be 1.

Using the property,

\(\int\limits^4_2 {k(1-(x-3)^2} \, dx = 1\\ \\k\int\limits^4_2{1-x^2+9-6x} \, dx = 1\\\\k\int\limits^4_2 {-x^2+6x-8} \, dx=1\\ \\k[\frac{-x^3}{3}+3x^2-8x]^4_2 = 1\\ \\ k = 3/4 = 0.75\)

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