what is the equation of a line that passes through the points (2,5) and (4,3)

Answer: 2/7

i’m pretty sure it’s 2/7

Answer:

2

7

Step-by-Step Explanation:

Answer:

PQ

Step-by-step explanation:

Answer:

PQ

Step-by-step explanation:

(a) Taylor's polynomial of order 2 for f is:

P2(x) = e^sin(2φ) + (e^sin(2φ)) * (2cos(2φ))(x - φ) + [(e^sin(2φ)) * (4cos^2(2φ) - 2sin(2φ))] / 2)(x - φ)^2

(b) Taylor's expansion of order 2 for f  is:

f(x) ≈ e^sin(2φ) + (e^sin(2φ)) * (2cos(2φ))(x - φ) + [(e^sin(2φ)) * (4cos^2(2φ) - 2sin(2φ))] / 2)(x - φ)^2

To determine Taylor's polynomial of order 2 for f(x) = e^sin(2x) about the point x = Xo = φ, we need to obtain the values of the function and its derivatives at the point φ.

(a) Taylor's polynomial of order 2 for f about the point x = φ:

First, let's obtain the first and second derivatives of f(x):

f'(x) = (e^sin(2x)) * (2cos(2x))

f''(x) = (e^sin(2x)) * (4cos^2(2x) - 2sin(2x))

Now, let's evaluate these derivatives at x = φ:

f(φ) = e^sin(2φ)

f'(φ) = (e^sin(2φ)) * (2cos(2φ))

f''(φ) = (e^sin(2φ)) * (4cos^2(2φ) - 2sin(2φ))

The Taylor's polynomial of order 2 for f(x) about the point x = φ is given by:

P2(x) = f(φ) + f'(φ)(x - φ) + (f''(φ)/2)(x - φ)^2

Substituting the evaluated values, we have:

P2(x) = e^sin(2φ) + (e^sin(2φ)) * (2cos(2φ))(x - φ) + [(e^sin(2φ)) * (4cos^2(2φ) - 2sin(2φ))] / 2)(x - φ)^2

(b) Taylor's expansion of order 2 for f about the point x = φ:

The Taylor's expansion of order 2 for f about the point x = φ is given by:

f(x) ≈ f(φ) + f'(φ)(x - φ) + (f''(φ)/2)(x - φ)^2

Substituting the evaluated values, we have:

f(x) ≈ e^sin(2φ) + (e^sin(2φ)) * (2cos(2φ))(x - φ) + [(e^sin(2φ)) * (4cos^2(2φ) - 2sin(2φ))] / 2)(x - φ)^2

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Answer:

C, B, A

Step-by-step explanation:

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

WHAT?

Step-by-step explanation:

6 hairless chimpanzees should the biologist expect to find in the troop.

What is the percentage?

A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage, therefore, refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The sample number is 150.

Given that 3% of the chimpanzees are hairless, another sample indicates that 5% are hairless, and a third sample indicates that 4% are hairless.

The average percentage of chimpanzees of hairless is

(3% + 5% + 4%)/3

= 12%/3

= 4%

Now calculate 4% of 150:

4% of 150

= (4/100) × 150

= 6

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Answer:

Step-by-step explanation:

stop searching answers poopers use ur mind

Answer:

-12

Step-by-step explanation:

Substitute x with -2

-(-2)-14

2-14 = -12

The probability that the total of the number on the dice exceeds 6 is 1/12.

When the two fair dice are thrown the total possible outcome are,

= 6 x 6

= 36

So, there are a total of 36 possible outcomes.

If one of the dice shows 3, then the total favorable outcomes that the sum of the numbers on the dice exceeds 6 is,

(3+4)(3+5)(3+6)

Hence, the total possible favorable outcomes are 3.

Probability of an event = Total favorable outcomes/total possible outcomes.

Probability that the sum exceeds 6 = 3/36

Probability that the sum exceeds 6 = 1/12

So, Probability that the sum exceeds 6 is 1/12.

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Step-by-step explanation:

Solution

Given that

sample size n = 11

The degree of freedom df = n - 1 = 11 - 1 = 10

At 99% confidence level,

Checking the table,

Therefore, the Critical value t value = 3.169

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: x = 9

We know that 26 and 17 are in a fact family.

Let's see the fact family.

26 - 17 = 9.

So, the answer is 9.

Hope this helps you!

Answer:

x = 9

Step-by-step explanation:

-x = 17 - 26                       Take the numbers to one side and leave the letters                                                       on the other side

-x = -9                                    Subtract the numbers

x = 9                       since the x and the 9 are negative they become positive

                              (two negatives equals a positive only when multiplying or

                               dividing and in this case you are dividing the -1x to both

                               sides)

Answer:

D, E, G

Step-by-step explanation:

Quotient of 82 and a number=82/n

Decreased by 26

82/n-26

She evaluate the expression when n=2

82/n-26

When n=2

82/2-26

=41-26

=15

Answer

D. The correct expression is 82/n-26

E.The operations include division and subtraction.

G.The value of the expression is 15

Answer:

The correct answer is b,d,e,g

Step-by-step explanation:

Correlation is a measure of the extent to which two factors vary together. Correlation denotes the relationship between two variables. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral.

Positive correlation denotes that the variables move together in the same direction, whereas negative correlation denotes that the variables move in opposite directions. Neutral correlation denotes that there is no relationship between the variables. Correlation is a technique that is used in statistics to identify the strength of the relationship between two variables. Correlation can be used to identify the strength of the linear relationship between two variables. Correlation measures the degree to which two variables vary together, in other words, it measures how much the variables are associated with one another. Correlation is used to identify the relationship between two variables. If there is a strong correlation between two variables, it indicates that there is a strong relationship between the variables. Correlation analysis helps in determining the strength and direction of the relationship between the variables. The correlation coefficient is used to measure the strength of the relationship. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation. The correlation coefficient of 0 indicates that there is no correlation between the variables.

Correlation is a measure of the extent to which two factors vary together. Correlation analysis determines the strength and direction of the linear relationship between two variables. Correlation can be positive, negative, or neutral. Correlation is used to identify the relationship between two variables. The correlation coefficient is used to measure the strength of the relationship between the variables. The correlation coefficient ranges from -1 to +1. The correlation coefficient of +1 indicates a perfect positive correlation, and the correlation coefficient of -1 indicates a perfect negative correlation.

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Answer:

$36.25

Step-by-step explanation:

21.75/3

7.25*5

36.25

Answer:

36.25

Step-by-step explanation:

If the mean monthly electric bill for 71 residents of the local apartment is $62 , then the best point estimate is $62 .

In the question ,

it is given that ,

the number of residents in the local apartment complex is = 71

the mean electric bill for the 71 residents = $62 ;

we know that the sample mean is itself called as the best point estimate ;

So , best point estimate for mean monthly electric bill for all residents of local apartment complex will be = mean monthly bill for 71 residents of  local apartment complex which is given as $62 .

Therefore , the best point estimate is $62 .

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Answer:

B. 68 square cm

Step-by-step explanation:

0.5 x 6 x 5 = 15

5 x 7 = 35

9 x 2 = 18

15+35+18 =68

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.

Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:

x + kx + lx = 2r

Simplifying this equation, we get:

x(1 + k + l) = 2r

So, we have:

x = (2r)/(1 + k + l)

y = kx = k(2r)/(1 + k + l)

z = lx = l(2r)/(1 + k + l)

The circumference of the triangle is the sum of its three sides:

C = x + y + z

Substituting the expressions for x, y, and z, we get:

C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)

Simplifying this expression, we get:

C = (2r(1 + k + l))/(1 + k + l)

C = 2r

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.

Let the lengths of the triangle be, 3x,4x,5x

Square of largest side = \(25x^{2}\)

Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)

It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.

The circumference of a right-angled triangle has a diameter equal to its hypotenuse.

hence, 5x=6 or x= \(\frac{6}{5}\)

Now, two perpendicular sides are then,  \(\frac{18 }{5} , \frac{24}{5}\)

\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)

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Question

A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to

A. 8.64

B. 12

C. 6

D. 10.5

Answer:

108ft²

Step-by-step explanation:

I took the test.

Considering the definition of an equation and the way to solve it, the number of mountain bikes originally was 56.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Knowing that:

the equation in this case is:

3/7 × total mountain bikes =24

Solving:

total mountain bikes =24÷ 3/7

The first step in dividing by a fraction is to find the reciprocal (reverse the numerator and denominator) of the second fraction.

Then, the two numerators and the two denominators must be multiplied and, if necessary, the fractions are simplified.

total mountain bikes =24× 7/3= 24/1× 7/3

total mountain bikes =(24×7)/ (1×3)

total mountain bikes =168/ 3

total mountain bikes =56

Finally, there were 56 mountain bikes originally.

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Answer:

The scale factor is 3 and Divide by 24 to find b's length.

Step-by-step explanation:

I think this is the answer

(Im just a bored high schooler searching this up) :P

Answer:

it’s The first and the last

Step-by-step explanation:

Answer:

2 is the correct answer

mark me as brainlist

We have to test the given series for convergence or divergence using the Alternating Series Test.The Alternating Series Test states that if an alternating series satisfies the following two conditions, then the series converges:a_n≥0 for all n.

a_n is decreasing with limit 0 as n approaches infinity.Using the above test, we have to test the series for convergence or divergence. The given series is 7-8+7/10-7/12+7/14-7/16+...On simplifying the series, we get the series as:7 - 8 + 7/10 - 7/12 + 7/14 - 7/16 +...We see that the series is alternating with a_n = (-1)^(n+1) * 7/(2n).Now we check if a_n≥0 for all n. As 7 and 2n are positive for all values of n, hence a_n is always positive for all n.

Therefore, the first condition of the Alternating Series Test is satisfied.Next, we need to check if a_n is decreasing with limit 0 as n approaches infinity.We have to evaluate the limit of a_n as n approaches infinity.Let us simplify the equation for a_n by removing the constants. We get, a_n = (-1)^(n+1) * 1/n.Using the limit definition, we have to check if the limit of a_n as n approaches infinity is 0. We have,L = lim n→∞ (-1)^(n+1) * 1/nHere, L = 0 as the denominator grows indefinitely large and the numerator is alternating between -1 and 1. Hence, the second condition of the Alternating Series Test is satisfied. Therefore, the given series converges.

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To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

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Answer:

-0.8

Step-by-step explanation:

if you grab 2 whole points, such as (-3,1) and (2,-3), you have to get the rise/run which in this case is -4/5. -4/5= -0.8

Answer:

-4/5

Step-by-step explanation:

So you probablly heard of y=mx+b. if you haven't, m is the slope.

You have to use rise over run to find slope so let's first find a point of the line.

(-3,1) is a point!

Since this is a negative line, the slope is going to be negative.

You have to go down 4 times and to the right 5 times for your next point. (2,-3)

So the slope is -4/5

And for slope intercept form it's in y= -4/5x + b (b = y-intercept)

Hope this helps! Leave a comment if it does or doesn't! :)

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

(a) The mean number of buses arriving in any interval of minutes is λ = 1.

(b) The probability of buses arriving in a t-minute interval is P(X > 0) = 1 - P(X = 0), where X is a Poisson random variable with parameter λt.

(c) The probability of no buses arriving in a t-minute interval is P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\).

(d) The probability of at least one bus arriving in a t-minute interval is

P(X ≥ 1) = 1 - P(X = 0) = 1 - \(e^{(-t)}\).

To guarantee at least one bus with a certain percentage of probability, we need to solve the inequality:

where p is the desired probability. Solving for t, we get:

Therefore, the minimum wait time necessary to guarantee at least one bus with a probability of p is -ln(1-p) minutes.

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Answer:

-4/9x + 2/3 =Y.

I hope this

is the answer