Find the derivative of f(x) = √√/8x+5 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Include a multiplication sign between symbols. For example, a.

3 equals number of dogs:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The relationship is “hours multiplied by 3 equals the number of dogs.”

The following statements are true:

Segment DEF is parallel to ABC

The line segment  AB is parallel to DE

Line FC is parallel to AD

the line that is skewed to DE is BC

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABC

CADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BE

AB is parallel to DE

FC is parallel to AD

Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

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The expected payoff of this game is $1.97

To find the expected payoff of this game, we need to calculate the probability of each outcome and multiply it by the corresponding payoff.

There are six possible outcomes for the first roll, each with a probability of 1/6. If we roll a 1, 2 or 3 on the first roll, the game stops and the payoff is the face value of the roll. So the expected payoff for these outcomes is:

(1/6) x 1 + (1/6) x 2 + (1/6) x 3 = 1

If we roll a 4, 5 or 6 on the first roll, we get to roll again. There are also six possible outcomes for the second roll, each with a probability of 1/6. If we roll a 1, 2 or 3 on the second roll, the game stops and the payoff is the sum of the face values of both rolls. So the expected payoff for these outcomes is:

(1/6) x (1+4) + (1/6) x (2+5) + (1/6) x (3+6) = 5

If we roll another 4, 5 or 6 on the second roll, we get to roll again. But the probability of this happening is (3/6) x (1/6) = 1/12. So we can ignore this possibility for now.

Now we can calculate the overall expected payoff by multiplying the probability of each outcome by the corresponding payoff and adding them up:

(1/6) x 1 + (1/6) x 2 + (1/6) x 3 + (1/6) x 5 + (1/12) x (5+1+4) = 1.97

So the expected payoff of this game is $1.97. However, it's important to note that this is just an average value and doesn't guarantee that you will actually win this amount in any given game. It's also important to consider the risk involved in playing this game, as the possibility of rolling multiple times and losing could result in a significant loss.

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Answer:

Step-by-step explanation:\(-\frac{9}{x-9}\)

Answer:

-9(1+x)

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(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Answer:

Thank you so much!!!

Step-by-step explanation:

Answer:

thanks!!

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

The formula to find the area of a triangle is

A= \(\frac{1}{2}\)*b*h

The formula to find the area of a rectangle is simply the length times the base.

Here, you can separate the shapes, two triangle and one rectangle to make it easier to find. Subtract 7.5 and 2.5 to get 5, which will be the base measurements for the triangles.

Next, find the area for the triangles: \(\frac{1}{2}\) x 5 x 2.5= 6.25, however, you have two triangles, so multiply by two to get 12.5.

Now, find the area of the rectangle, 2.5 +2.5= 6.25

Lastly, add the measurements together, 12.5 +6.25= 18.75

Answer:

-5 • (2w + 1)

 —————

       2      

Step-by-step explanation:

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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Answer:

99+3b

Step-by-step explanation:

The original equation would be 3(33+b), but simplifying it would get 99+3b.

The translation would be:

A(1,2) = > A(-1, -2)

B(5,1) = > B(3,-3)

C(5,4) = > (3, 0)

Number 3

the triangle R'S'T' is a translation of the vector <3,2>

Number 4

J(4,5) with the translation ( x + 6, y -3)

J(4 + 6, 5 - 3)

J(10, 2)

The answer would be J(10,2)

Answer:

The answer is

Step-by-step explanation:

Answer:

Step-by-step explanation:

483278.4

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer: -7/1

Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.

The probability that the consumer will have more than 6 contaminated chickens is 0.039.

The binomial distribution is a frequency distribution that shows how many successful outcomes there could be in a set number of trials with an equal chance of success. Given a success probability of "p" for each experiment trial, it shows the likelihood that an experiment will succeed "x" times out of "n" trials. The formula to calculate this binomial distribution is \(P(X=x)= \;_nC_xp^x(1-p)^{n-x}\)

Given the p=0.30 and n=12. Then, the required probability that the consumer will have more than 6 contaminated chickens is,

\(\begin{aligned}P(X > 6)&= P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\&=12C_7(0.3)^7(0.7)^5\cdots\cdots\cdots12C_{12}(0.3)^{12}(0.7)^{0}\\&=0.0386\\&=0.039\end{aligned}\)

The required answer is 0.039.

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The correct option for calculating the percentage change in x from x₁ to x₂ is:

c) 100(∆x / x₁)

Percentage change is a measure that calculates the relative difference between two values, typically expressed as a percentage. It is used to determine the magnitude and direction of the change between an initial value and a final value.

The formula for calculating the percentage change is:

Percentage change = (Change in value / Initial value) * 100

In this case, the change in x is represented as ∆x, and the initial value is x₁. Therefore, the formula becomes:

Percentage change = (∆x / x₁) * 100

Therefore, Option c) matches this formula and correctly calculates the percentage change in x.

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Answer:

5/2

Step-by-step explanation:

The slope of this equation is 5/2

The function of Car A is an exponential function.

The function that describes the value is g(x) = \(18,000(0.94^{x})\).

The value of f(x) in 9 years is $10,313.91.

The function of Car B is a linear function.

The function that describes the value is  g(x) = 18,500 -750x.

The value of f(x) in 9 years is $11,750.

The value of the car declines with the passage of time. Thus, the value of the car depreciates with the passage of time.

A linear function is a function that has a single variable raised to the power of 1. A linear function increases or decreases by a constant value.  

The general form of a linear function is f(x) = a + bx

Where:

Rate of change = value of the car B in year 2 - value of the car B in year 1

17,000 - 17,750 = - 750

g(x) = 18,500 -750x

Value of g(x) when x is 9:

g(x) = 18,500 -750(9)

g(x) = 18,500 - 6,750

g(x) = $11,750

An exponential function can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential function is f(x) = \(e^{x}\)

Where:

• x = the variable

• e = constant

Constant = (Value of the car in year 2 / value of the car in year 1) - 1

Constant = (16,346.60 / 17,390) - 1 = -0.06 = -6%

g(x) = \(18,000(0.94^{x})\)

Value of the car in 9 years =  \(18,000(0.94^{9})\) = $10,313.91

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Answer:

I think there are 4 separate terms in that algerbric equation

When Maria distribute the lunches to the 22 students equally, each person gets 1.6 of the meal.

It should be noted that from the information, Maria must distribute the lunches to the 22 students equally.

Therefore, the total foods will be:

= (3 + 6 + 25 + 2) / 22

= 36 / 22

= 1.6

Therefore each person gets 1.6 of the meal.

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Answer:  x=3 y=1

Step by step solution

A. Therefore, if (x, y) and (y, x) are in R, then x = y, which means that xRy and yRx only if x = y, which is not true for distinct elements x, y in A.

A relation R on a set A is said to be symmetric if for any elements x, y in A, if xRy, then yRx. A relation R on a set A is said to be antisymmetric if for any distinct elements x, y in A, if xRy, then it is not true that yRx.

One example of a relation on a set that is both symmetric and antisymmetric is the equality relation. Let A be any set and let R be the equality relation, defined as:

R = {(x, y) | x = y for x, y in A}

Then, R is symmetric because if x = y, then y = x for any x, y in A. Therefore, if (x, y) is in R, then (y, x) is also in R. R is also antisymmetric because if x = y and y = x, then x = y for any x, y in A. Therefore, if (x, y) and (y, x) are in R, then x = y, which means that xRy and yRx only if x = y, which is not true for distinct elements x, y in A.

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Answer:

f(x) = - 2 (x + 2)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, 6), thus

y = a(x - (- 2))² + 6, that is

y = a(x + 2)² + 6

To find a substitute the point (0, - 2) into the equation

- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )

- 8 = 4a ( divide both sides by 4 )

- 2 = a

f(x) = - 2(x + 2)² + 6 ← in vertex form

Answer:

y=2.25x +1

y=4x-9

i dont know about this one

y=x+6

Step-by-step explanation:

Answer:

The total distance around the running track is 194.3 m

Step-by-step explanation:

Here, we are interested in calculating the distance around the running track.

We have two semi-circles of diameter 30m and two parallel straight lines of length 50m

Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m

Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends

Mathematically, that would be; πd

The circumference is thus; 22/7 * 30 = 94.29 m

Thus, the length of the running track will be 100 + 94.3m = 194.3m

Answer:

Is this a complete question?

The coefficient of determination is a statistical measure that indicates the proportion of variability in the dependent variable that can be explained by the independent variable(s) in a regression model. It is also known as R-squared and is expressed as a fraction between 0 and 1. The closer the value is to 1, the better the fit of the model.

The coefficient of determination can be thought of as the fraction of variability that can be accounted for by the slope of the regression model. The slope is the change in the dependent variable per unit change in the independent variable. In other words, it represents the rate of change in the dependent variable due to a change in the independent variable.

Therefore, a higher coefficient of determination means that a larger proportion of the variability in the dependent variable is explained by the slope of the regression model. This is important because it provides information on the accuracy and usefulness of the model. If the coefficient of determination is low, it may indicate that the model is not a good fit for the data and needs to be revised.
In conclusion, the coefficient of determination is a crucial measure in regression analysis that helps to assess the proportion of variability in the dependent variable that can be explained by the slope of the regression model. It is expressed as a fraction between 0 and 1 and provides important information on the accuracy and usefulness of the model.
In other words, it represents the proportion of the total variability in the dataset that the model is able to explain.

The coefficient of determination ranges from 0 to 1, with values closer to 1 indicating that the regression model is better at explaining the variability in the data. When interpreting R-squared, keep in mind that a higher value doesn't always imply a good model, as it can sometimes be due to overfitting.

To calculate R-squared, you would first fit a regression model to your data. The regression model typically consists of a slope, which represents the rate of change between the independent variable (x-value) and dependent variable (response), and an intercept, which is the point where the regression line crosses the y-axis.

Once the model is fit, you can compute the sum of squares due to regression (SSR) and the total sum of squares (SST). The coefficient of determination is then found by dividing SSR by SST.

R-squared = SSR / SST

By understanding the coefficient of determination, you can evaluate the effectiveness of a regression model in accounting for the variability in the data and make informed decisions based on its performance.

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Answer: Creo que la respuesta es x+3

Espero haber ayudado :D