Accordding to this function
What is:-

limf(x)
x approches 2⁺​

Answer:

the far left one

Step-by-step explanation:

Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4

Answer:

1.

avg time = total time/ 3

for big car :-

= 4.46/ 3

= 1.48

for small car :-

= 5.14/ 3

= 1.71

2.

avg speed = total distance/ total time

for big car:-

= 2/ 4.46

= 0.45

for small car :-

= 2/ 5.14

= 0.4

Answer:

We can write an equation for the length, L, of the rectangle in terms of its width, w, as:

L = 2w + 9

The area, A, of the rectangle is given by:

A = Lw

Substituting the expression for L into the equation for A, we get:

A = (2w + 9)w

Expanding the right side of the equation, we get:

A = 2w^2 + 9w

Therefore, the quadratic function that represents the area of the rectangle for a given value of w is:

A(w) = 2w^2 + 9w

This function is in standard form, where the coefficient of the squared term is positive. We can also see that the graph of this function is a parabola that opens upwards.

The dimension of the max garden is 125*125 and the max area is 15625 square feet.

Let the length and width of the garden be L and B.

Now, let the barn is along the width. So, now the width became = B-50

So the perimeter = 2(L+B-50)

Now to fence the garden we need 400 feet material.

So, 2(L+B-50) = 400

L+B-50 = 200

B = 250-L .........(i)

So the area of the total garden is given by,

A = LB = L(250-L) \(=250L-L^2\)

So now differentiating the area with respect to length,

dA/dL = 250-2L

\(\frac{d^2A}{dL^2}=\) -2

Now, dA/dL = 0 gives,

250-2L = 0

2L = 250

L= 125

At L = 125, \(\frac{d^2A}{dL^2}=-2 < 0\)

Max A = \(250\times125-125^2=15625\) square feet

So area is maximum when L = 125 feet.

Then the width = B = 250-125 = 125 feet.

Hence the dimension of the max garden is 125*125 and the max area is 15625 square feet.

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Accuracy rate is equal to the difference of predicted value and true value  divide it by true value and then multiply by 100 to get the rate.

Accuracy rate = [ | Predicted value - True vale|/ true value ] × 100

Therefore, the accuracy rate is the percentage of the ratio of difference of predicted value and true value to the true value.

The given question is incomplete, I answer the question in general according to my knowledge:

How is the accuracy rate calculated?

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Answer:

the area is 144

Step-by-step explanation:

48 ÷ 4 (which is how many sides a square has) is 12

SO 12 × 12 bc l×w and all sides of a square are equal

the answer is 144

Please find attached full question

Answer and explanation:

Find attached answer and explanation

The domain of a function is the set of all possible inputs for the function.

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,1],{y|y≤1}

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

f(x) = 1 - x²

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

f(x) = 1 - x² is defined for all Real values of x and therefore the domain is all Real values (R).

x² has a minimum value of 0 (for x ∈ R)

therefore

−x² has a maximum value of 0

and

−x² + 1 = 1 − x² has a maximum value of 1.

Hence, the domain of a function is the set of all possible inputs for the function,

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,1],{y|y≤1}

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x=48, y=110

Explanation:

55-7=48

55+55=110

Answer:

0.9

Step-by-step explanation:

im correct 100

The equation x = tan(x) has infinitely many solutions for 0 ≤ x < 2π. This is because the tangent function is a periodic function with a period of π. As a result, the values of x and tan(x) repeat after each interval of π.

Within the interval 0 to 2π, the tangent function intersects the line y = x multiple times, resulting in infinitely many solutions. The equation x = tan(x) implies that the values of x and tan(x) are equal. To analyze the solutions, we need to consider the behavior of the tangent function within the given interval.

The tangent function has a periodic nature, with a period of π. This means that the values of tan(x) repeat after each interval of π. Within the interval 0 to 2π, the tangent function intersects the line y = x multiple times.

Since the tangent function intersects the line y = x at multiple points within the interval, the equation x = tan(x) has infinitely many solutions for 0 ≤ x < 2π. The exact values of these solutions can be determined by solving the equation or graphically analyzing the points of intersection.

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Answer:

pi + -pi = 0

Step-by-step explanation:

We need to have irrational numbers that we are adding and end up with a rational number.  This means that it is not closed under addition

pi is an irrational number

0 is a rational number

pi + -pi = 0

irrational + irrational = rational

In response to the given question, we can state that the expression will be  (2y + 14.6m + 3.8) - (34.8m + 15.6 + 2y) = -2.38m -11.8

In mathematics, you can multiply, divide, add, or subtract. An expression is formed as follows: Expression, number, and math operator Numbers, parameters, and functions make up a mathematical expression. It is possible to contrast phrases and expressions. Every mathematical statement that comprises variables, numbers, and a mathematical action between them is referred to as an expression. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, all separated by the mathematical symbol +.  

the expression will be

(2y + 14.6m + 3.8) - (34.8m + 15.6 + 2y)

-2.38m -11.8

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Answer:

Each student's contribution = $17

Each student will save $ 3

Step-by-step explanation:

Cost of the block of 5 tickets is $85.00.

Dividing the $ 85 by 5 would give the equal amount each would have to contribute.

$ 85/5=$ 17

Each will have to pay $ 17 to buy a block of 5 tickets for $85.00.

We can find the amount each will save by subtracting the amount to be shared by the 5 students from the amount paid by the 4 students.

They will save

$ 20-$17=

$3

Each of them will save $3 if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block.

\(X = B(C^{-1})^2 - A\) is a solution to the invertible matrices equation \(C^{-1}(A+X)B^{-1}=I_n\).

We can begin by multiplying both sides of the equation by\((A+X)B^{-1}\):

\(C^{-1}(A+X)B^{-1}(A+X)B^{-1} = I_n(A+X)B^{-1}\)

Simplifying the left-hand side, we get:

\(C^{-1}(A+X)B^{-1}(A+X)B^{-1} = C^{-1}(A+X)(A+X)^{-1}C^{-1} = C^{-1}C^{-1} = (C^{-1})^2\)

Simplifying the right-hand side, we get:

\(I_n(A+X)B^{-1} = (A+X)B^{-1}\)

When we plug these values back into the original equation, we get:

\((C^{-1})^2 = (A+X)B^{-1}\)

Multiplying both sides by B, we get:

\(B(C^{-1})^2 = A+X\)

When we return to the original equation, we get:

\(C^{-1}(B(C^{-1})^2)B^{-1} = I_n\)

Simplifying, we get:

\((C^{-1})^2 = (C^{-1})^2\)

This is a true statement, so the equation has a solution,\(X = B(C^{-1})^2 - A\).

To solve the equation C^{-1}(A+X)B^{-1}=I_n, we first multiplied both sides by \((A+X)B^{-1}\) and simplified the equation to get \((C^{-1})^2 = (A+X)B^{-1}\). We then multiplied both sides by B and substituted the result back into the original equation to get \(C^{-1}(B(C^{-1})^2)B^{-1} = I_n\). Simplifying this equation, we got \((C^{-1})^2 = (C^{-1})^2\), which is a true statement. Therefore, the equation has a solution, X = \(B(C^{-1})^2 - A\).

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The line integral of the given function, ∫_c y²dx+xdy, along the arc of the parabola x = 4 - y² from (-5, -3) to (0, 2), can be evaluated by parameterizing the curve and then calculating the integral using the parameterization.

To evaluate the line integral, we first need to parameterize the given curve. Since the parabola is defined by x = 4 - y², we can choose y as the parameter. Let's denote y as t, where t varies from -3 to 2. Then, we can express x in terms of t as x = 4 - t².

Next, we differentiate the parameterization to obtain dx/dt = -2t and dy/dt = 1. Now, we substitute these values into the line integral expression: ∫_c y²dx + xdy = ∫_c y²(-2t)dt + (4 - t²)dt.

Now, we integrate with respect to t, using the limits of -3 to 2, since those are the parameter values corresponding to the given endpoints. After integrating, we obtain the value of the line integral.

By evaluating the integral, you will find the numerical result for the line integral along the arc of the parabola x = 4 - y² from (-5, -3) to (0, 2), based on the given function ∫_cy²dx + xdy.

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we need 27 ounces of the 11% alcohol solution and 9 ounces of the 23% alcohol solution to obtain 36 ounces of a 14% solution.

Let x be the number of ounces of the 11% alcohol solution, and y be the number of ounces of the 23% alcohol solution. Then we have:

x + y = 36 (total amount of solution)

0.11x + 0.23y = 0.14(36) (total amount of alcohol)

Simplifying the second equation, we get:

0.11x + 0.23y = 5.04

Multiplying the first equation by 0.11 and subtracting from the second equation, we get:

0.12y = 1.08

y = 9

Substituting y = 9 into the first equation, we get:

x + 9 = 36

x = 27

what is numbers?

In mathematics, numbers are abstract concepts used for counting, measuring, and comparing quantities. There are several types of numbers, including natural numbers, integers, rational numbers, irrational numbers, and real numbers. Numbers are used in various mathematical operations, such as addition, subtraction, multiplication, and division, and are a fundamental concept in mathematics.

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Answer:

B

Step-by-step explanation:

Answer:

y + 8 = -4 (x + 6)

Step-by-step explanation:

y + 8 = -4 (x + 6)

Answer:

50 new fish in total

so lets say 25 per month

Rate: 25 fish per month

Step-by-step explanation:

The rate is the population increasing is  0.135 or 13.5% .

Growth rates refer to the percentage change of a specific variable within a specific time period.

Growth rate= \(\frac{Present value - Past value}{Past value}\)

According to the question

The population of fish increased from 370 to 420

i.e

Present value = 420

Past value = 370

over the months of March and April

By using Growth rate formula :

Growth rate= \(\frac{Present value - Past value}{Past value}\)

Now,

Substituting values in formula

Growth rate= \(\frac{420 - 370}{370}\)  

                    = \(\frac{50}{370}\)

                    = 0.135 or 13.5%

Hence, the rate is the population increasing is  0.135 or 13.5% .

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Answer:12 minutes

Hope this is right sorry if not <3

Answer:

3:5:11

hope this helps u!!

Answer:

3    : 5   :   11​

Step-by-step explanation:

6 : 10 : 22​

Divide each term by 2

6/2 : 10/2 : 22/2

3    : 5   :   11​

The measure of reference angles to problems are,

7. Ф = 41.81°.

8. Ф = 64.23°.

10. Ф = 51.31°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

7. With respect to the reference angle opposite and the hypotenuse is given,

sin = opposite/hypotenuse.

sinФ = 4/6.

Ф = sin⁻¹(4/6).

Ф = 41.81°.

8. With respect to the reference angle opposite and adjacent is given,

tan = opposite/adjacent.

tanФ = 29/14.

Ф = tan⁻¹ (29/14).

Ф = 64.23°.

9. With respect to the reference angle opposite and the hypotenuse is given, Similar to problem 7.

10. With respect to the reference angle hypotenuse and adjacent is given,

cos = adjacent/hypotenuse.

cosФ = 25/40.

Ф = cos⁻¹(25/40).

Ф = 51.31°.

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As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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Answer:

b

the only y values the lines touch are from zero to eight.

Step-by-step explanation: