Solve these simultaneous equations
y - 4x = 6
y = 2x² + 3x + 5

Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

The company will use approximately 7 trucks.

to separate into two or more parts or pieces. : to separate into classes or categories. : cleave entry 2, part.

To calculate the number of trucks needed, divide the total number of bicycles by the number of bicycles that can fit in each truck:

328 bicycles / 50 bicycles per truck = 6.56 trucks.

Since you can't have a fraction of a truck, the company will need to round up to the nearest whole number. Therefore, the company will use 7 trucks to ship the 328 bicycles across the country.

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The absolute maximum is 198 and the absolute minimum is 12.To find the absolute maximum and minimum values of the given function, we need to find the critical points and endpoints of the interval and evaluate the function at those points. Then, we can compare the values to determine the maximum and minimum values.

(a) Interval = [-3, -1]

To find critical points, we take the derivative of the function and set it to zero:

f'(x) = 4x^3 - 20x = 0

=> 4x(x^2 - 5) = 0

This gives us critical points at x = -√5, 0, √5. Evaluating the function at these points, we get:

f(-√5) ≈ 11.71

f(0) = 12

f(√5) ≈ 11.71

Also, f(-3) ≈ 78 and f(-1) = 2

Therefore, the absolute maximum is 78 and the absolute minimum is 2.(b) Interval = [-4, 1]

Using the same method, we find critical points at x = -√3, 0, √3. Evaluating the function at these points and endpoints, we get:

f(-√3) ≈ 13.54

f(0) = 12

f(√3) ≈ 13.54

f(-4) = 160

f(1) = 3

Therefore, the absolute maximum is 160 and the absolute minimum is 3.(c) Interval = [-3, 4]

Again, using the same method, we find critical points at x = -√2, 0, √2. Evaluating the function at these points and endpoints, we get:

f(-√2) ≈ 14.83

f(0) = 12

f(√2) ≈ 14.83

f(-3) ≈ 198

f(4) ≈ 188.

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Answer:

25%, since 1/4=0.25 and 0.25*100 is 25%

Hope it helps!

Answer:

Step-by-step explanation:

Given data:

The given fraction is \(\frac{1}{4}\)

The given fraction can be written as,

\(\frac{1}{4}=0.25\\=\frac{25}{100} \\=25 percentage\)

Thus , the given fraction is 25%.

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Answer:

-7,-6,-1,0,5,,8,12

Answer:

\({ \sf{ \{ - 7 \: » \: - 6 \: » - 1 \: » \: 0 \: » \: 5 \: » \: 8 » 12\}}}\)

Given the points on the line:

(x1, y1) ==> (-2, 5)

(x2, y2) ==> (2, -3)

Let's find the equations that represent the line.

Apply the point-slope form:

y - y1 = m(x - x1)

Where m represents the slope, x1 and y1 represents the values of one point on the line.

To find the slope of the line apply the slope formula:

Substitute values into the formula and solve for m:

Substitute -2 for m in the point-slope equation:

y - y1 = -2(x - x1)

Substitute the coordinates of each point for x1 and y1

At (-2, 5):

y - 5 = -2(x - (-2)) ==> y - 5 = -2(x + 2)

At (2, -3):

y - (-3) = -2(x - 2) ==> y + 3 = -2(x - 2)

The possible equations for line are:

• y - 5 = -2(x + 2)

• y + 3 = -2(x - 2)

ANSWER:

• A. y + 3= -2(x - 2)

• B. y - 5 = -2(x + 2)

Answer:

what language is that??

Step-by-step explanation:

The equation of the line into slope-intercept form is y = x/3 - 6

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the following equation that can be used in our computation:

9y−3x= −54

Rewrite properly

This gives

9y - 3x = -54

Divide through the equation by 3

So, we have the following representation

9y/3 - 3x/3 = -54/3

Evaluate

3y - x = -18

To rewrite as slope-intercept form is to make y the subject

So, we have

3y = x - 18

Divide through the equation by 3

So, we have the following representation

y = x/3 - 6

Hence, the equation is y = x/3 - 6

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Answer: $1,393.00

Step-by-step explanation:

program in 'C' language to solve the boundary value problem

#include <stdio.h>

#include <math.h>

#define F(X,Y,Z) (X*Z+2*Y) // Function

#define H 0.25 // Step size

void main() {

 float x, y, z, k1, k2, k3, k4;

 int i;

 x = 0;

 y = 1;

 z = 0.45; // Assume value of y'(0)

 do {

   printf("x=%f, y=%f, z=%f\n", x, y, z);

   k1 = z;

   k2 = z + H * k1 / 2.0;

   k3 = z + H * k2 / 2.0;

   k4 = z + H * k3;

   z += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;

   k1 = F(x, y, z);

   k2 = F(x + H / 2.0, y + H * k1 / 2.0, z + H * k1 / 2.0);

   k3 = F(x + H / 2.0, y + H * k2 / 2.0, z + H * k2 / 2.0);

   k4 = F(x + H, y + H * k3, z + H * k3);

   y += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;

   x += H;

 } while (x <= 1.0);

 printf("x=%f, y=%f\n", x, y);

 if (fabs(y - 1.271) <= 150)

   printf("Error is within the given limit.");

 else

   printf("Error is not within the given limit.");

}

You can compile and run the above program using any C compiler of your choice.

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Answer:

53712.4

Step-by-step explanation:

10^3 = 1000

To multiply a decimal by 1000, move the decimal point in the multiplicand by three places to the right.

so, 53.7124 becomes 53712.4

hope this helps :)

Answer:B = 18,  A = B + 23 = 18+23 = 41.

Step-by-step explanation:Last year . . .  

   A = 2B + 5     (1)

The number . . .  

   A = B + 23.    (2)

Equations (1) and (2) have the same left sides --- hence, their right sides are equal :

   2B + 5 = B + 23.

It implies

   2B - B = 23 - 5

    B     = 18.

ANSWER.  B = 18,  A = B + 23 = 18+23 = 41.

Answer:

m∠KLM = 100

Step-by-step explanation:

First, make both equal to each other

26x + 22 = 38x - 14

Subtract 26x from both sides

22 = 12x - 14

Add 14 to both sides to isolate the variable

32 = 12x

Divide both sides by 12

x = 3

----------------- To find m∠KLM take one angle:

38x - 14

Replace the x with 3

38(3) - 14

Multiply 38 by 3

114 - 14

Subtract 14 from 114

100

m∠KLM = 100

Answer:

The new perimeter is 4.6 times the original perimeter of the parallelogram.

Step-by-step explanation:

A parallelogram is a four-sided figure, such that the opposite sides are parallel.

So a parallelogram is defined by two measures, we can define them as the length L and the width W (W can be equal to L, as in the case of the square or the rhombus)

The perimeter of one parallelogram is then:

P = 2*L + 2*W = 2*(L + W)

If a scale factor of 4.6 is applied to the parallelogram, then all the dimensions must be multiplied by 4.6

This means that the new length is L' = 4.6*L and the new width is W' = 4.6*W

Then the new perimeter is:

P' = 2*W' + 2*L' = 2*(L' + W') = 2*(4.6*L + 4.6*W) = 4.6*[2*(L + W)]

And the thing inside brackets is equal to the original perimeter, then:

P' = 4.6*P

The new perimeter is 4.6 times the original perimeter of the parallelogram.

Answer: 15x + 150 = 950

Step-by-step explanation:

Let x equal the number of weeks.

He saves $15 per week, so 15 times the number of weeks, 15x.

He has already saved $150, so the money saved up over the weeks gets added to 150, 15x + 150.

all of the money he saves up has to equal 950, so 15x + 150 = 950.

I hope this helps!

Answer:

15x + 150 = 950

Step-by-step explanation:

I did dont paper I dont knwo how to upload it

#Everything4Zalo

If you choose the guaranteed payoff of $200 instead of taking a chance on the lottery, you would be considered risk-averse. This means that you prefer a certain outcome (the $200) over an uncertain outcome with potentially higher gains (the lottery).

A risk-averse individual tends to prioritize avoiding losses or negative outcomes over seeking potential gains.

In this scenario, a risk-averse person may choose the guaranteed payoff because they would rather have a sure $200 than take a 50/50 chance of getting nothing at all. On the other hand, a risk-seeking person may choose the lottery because they are willing to take on the risk of winning nothing in order to potentially win $500.

Ultimately, the decision to choose the lottery or the guaranteed payoff depends on the individual's personal risk tolerance and preference for certainty.

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Answer:

0.93333333333

Step-by-step explanation:

i got this

hope this will help you

Answer:

14/15 Hope it helps :)

Step-by-step explanation:

4/5 ÷6/7

⇒4/5×7/6

⇒28/30

simplify

⇒14/15

Given a figure of a circle:

As shown, the radius of the circle = r = 9 miles

The shown sector bounded by a 60-degree arc

We need to find the area of the shown sector

as we know the area of the circle =

The area of the sector represents 60/360 of the area of the circle

So, the area of the sector =

so, the answer will be the area of the shown sector = 42.4115 square miles

We will write the area in terms of pi and fractions as follow:

So, the answer will be:

(a) The estimate of the parameter λ using the method of moments is \(\lambda\)= 3/mean, where mean is the sample mean.

(b) The maximum likelihood estimate (MLE) of λ requires solving the equation ∂/∂λ (log L(λ)) = 0, where L(λ) is the likelihood function. The specific expression for the MLE of λ depends on the dataset and involves solving the equation numerically.

(a) The method of moments estimates the parameter λ by equating the sample mean (x) to the theoretical mean of the gamma distribution (α/λ). Rearranging the equation, we have mean = 3/λ, from which we can solve for λ as \(\lambda\)= 3/mean.

(b) The maximum likelihood estimate (MLE) of λ is obtained by maximizing the likelihood function. The likelihood function is the product of the probability density function (pdf) values for the observed data points.

Taking the natural logarithm of the likelihood function simplifies the calculations, and maximizing this log-likelihood function leads to the same result as maximizing the likelihood function itself.

By differentiating the log-likelihood function with respect to λ and setting it equal to zero, we can solve for the value of λ that maximizes the likelihood of observing the given data. The resulting value of λ is the maximum likelihood estimate of λ.

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By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

The value of x is -3 for the given equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 4 *3 + 4*x = 0

Simplify the equation using PEMDAS

=> 4*3 + 4*x = 0

=> 12 + 4x = 0

=> 4x = -12

=> x = -3

Therefore, the simplified value of the Given equation is x = -3.

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Answer:

x:3-3<x+3-3<6-3

0<x<3

do you get the process?

The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5

In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.

For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.

By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

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Answer:

18°

Step-by-step explanation:

First, we find the angle of the large piece of paper that is 1/4 of a circle.

The angle in a circle is 360°. The angle in 1/4 of a circle is:

1/4 * 360 = 90°

He cuts the paper into five equal parts from the center point of the circle. That means the angle was divided into 5 parts:

1/5 * 90 = 18°

Each part has an angle of 18°,

Answer: it's 18

Step-by-step explanation: 18 is the answer hope this helps

The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

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Answer:

I may be wrong, however, I do believe the answer is either 5,0m or 3,5 m.

Step-by-step explanation:

The differential equation  is

\(m v'=-m g+e^v \cdot v\)

Generally, Given that a ball of mass  m   is thrown vertically upward, with upward velocity v   and air resistance s e^s,

where s   is the speed of the ball.

Now  \(m \frac{d v}{d t}\) gives the force acting on the ball, when moving upwards.

When the fall is falling the weight mg  is acting verticalles downwards and the air resistance v e^v   is acting vertically upwards.

The resultant force acting vertically downwards is   m g-v e^v  . Since \(m \frac{d u}{d t}\)  is acting vertically upwards and m g-v e^v   is acting vertically downwards so when the. bail is falling, the differential equation of   v   is

\(\begin{aligned}& m \frac{d v}{d t}=-\left(m g-v e^v\right) \\\Rightarrow & m v'=-m g+v e^v \quad \\\ \left[v'=\frac{d v}{d t}\right] \\\Rightarrow & m v'=-m g+e^v \cdot v\end{aligned}\)

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