Determine the general solution of the system of equations. Use D operators please NOT eigen method. dx/dt=4x+3y dy/dt=6x-7y

Answer:

ok so lets just make this into a algrebra equation

0.2x=100

divide each side by 0.2

100 divided by 0.2=500

500

Hope This Helps!!!

Answer:

X = 500

Step-by-step explanation:

20% x 5 = 100%

so we multiply 100 (20%) by 5 = 500.

Hope this helps!

Brainliest would be nice!  : )

Answer:

x = 26

Step-by-step explanation:

Answer:

A then B

Step-by-step explanation:

1440≈1,000, and 1,000=10^3

1000000/1440≈700, and 700≈1,000. 1,000=10^3

Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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TRUE: A molecule can adopt a variety of geometries known as conformations by the rotation and bending of its bonds.

Conformational isomerism, often known as stereoisomerism, is a type of stereoisomerism in chemistry in which the isomers can be changed to one another simply by rotations about formally single bonds. Different conformations refer to any two arrangements of atoms in a molecule that differ by rotation about a single bond, whereas conformations that correspond to local minima on the potential energy surface are more specifically known as conformational isomers or conformers.

As a result, conformational isomers differ from other classes of stereoisomers (such as configurational isomers), where interconversion entails the necessary breaking and reformation of chemical bonds.

Thus, the statement, The different geometries that a molecule can attain by bond rotations and bends are called conformations is TRUE

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The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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Answer:

36y⁴ + 60y⁶ + 25y⁸

Step-by-step explanation:

(6y² + 5y⁴)² = (6y² + 5y⁴)(6y² + 5y⁴)

we can use the FOIL method to get:

36y⁴ + 30y⁶ + 30y⁶ + 25y⁸

we can simplify the two middle terms and get:

36y⁴ + 60y⁶ + 25y⁸

Answer:

\(\left(6y^2+5y^4\right)^2\)

\((6y^2+5y^4)^2=36y^4+60y^6+25y^8\)

\(=\left(25y^8+60y^6+36y^4\right)\)

\(=\left(36y^4+60y^6+25y^8\right)\)

\(=36y^4+60y^6+25y^8\)

---------------------------

hope it helps...

have a great day!!

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Answer:

$63.55

Step-by-step explanation:

Taxes are charges paid by individuals and enforced by the government in other to fund government spending and various public expenditures.

The flowers cost $59.95 and tax is 6%.

Tax = 6% of flower cost = 0.06 × $59.95 = $3.6

The  total cost of the flowers is the sum of tax and the cost of flowers, hence:

Total cost of the flowers = $59.95 + $3.6

Total cost of the flowers = $63.55

Answer:

0.00024

Step-by-step explanation:

= 2.4 × 10-4

(scientific notation)

= 2.4e-4

(scientific e notation)

= 240 × 10-6

(engineering notation)

(millionth; prefix micro- (u))

= 0.00024

(real number)

Answer: If the square of a side is equal to the sum of the square of the other two sides, then triangle must be right-angle triangle.

So I think it's "to determine from the side lengths if a triangle is a right triangle"

a) The probability that a single student randomly chosen from all those taking the test scores 23 or higher is 0.3557

b) The probability that the mean score x of these students is 23 or higher is 0.0043

What is Probability?

Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event.

Given that ,

mean = \mu = 21.1

standard deviation = \sigma = 5.1

a) P(x ≥ 23 ) = 1 - P(x ≤ 23)

= 1 - P[(x - \mu) / \sigma ≤ (23-21.1) /5.1 ]

= 1 - P(z ≤ 0.37)

= 1 - 0.6443 = 0.3557

Probability= 0.3557

b) n = 50

mu\bar x = \mu = 21.1

σbar x = σ / \\(\sqrt{n}\) = 5.1/ \\(\sqrt{50}\) = 0.7212

P(\bar x ≥ 23) = 1 - P(\bar x ≤ 23 )

= 1 - P[(\bar x - \mu\bar x ) / \sigma\bar x ≤ (23 - 21.1) / 0.7212 ]

= 1 - P(z ≤ 2.63)

= 1 - 0.9957 = 0.0043

Probability = 0.0043

a) The chance of a single student picked at random from all those taking the test scoring 23 or higher is 0.3557.

b) The chance that the mean x of these students is 23 or greater is 0.0043.

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Answer:

-7 and -4

Step-by-step explanation:

The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function,

f(x) = (x + 4)⁶ (x + 7)⁵

When the function cross the X axis, the value of the function will be 0.

Let f(x) = 0

(x + 4)⁶ (x + 7)⁵ = 0

This implies that, either x + 4 = 0 or x + 7 = 0

x + 4 = 0 ⇒ x = -4

x + 7 = 0 ⇒ x = -7

Hence the roots are -4 and -7 where the function crosses the X axis.

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The number of times to get a 3 will be 24 times.

It should be noted that the expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables

In this case, Jimm tossed a die several times and he got the number "3" on 8 of the tosses.

Therefore, when there are 64 tosses, the estimate will be:

= 3/8 × 64

= 3 × 8

= 24

The number of times is 24.

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Jimm tossed a die several times. He got the number "3" on 8 of the tosses. What is the best estimate of the total number of times he tossed the die 64 times?

Answer:

Step-by-step explanation:

C is right.

5(a + b + c + d)

when you express it it's gonna be 5a + 5b + 5c + 5d

for the cannon ball one

I can use the equation of motion to determine the time taken by the cannonball to hit the ground:

h(t) = -0.5gt^2 + V₀t + h₀

where:

- g is the acceleration due to gravity, -9.8 m/s^2

- V₀ is the initial velocity, 75 m/s

- h₀ is the initial height, 50 m

I'll set h(t) to 0, since the ball will hit the ground when its height is 0, and solve for t:

0 = -0.5(-9.8)t^2 + 75t + 50

0 = 4.9t^2 + 75t + 50

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

where a = 4.9, b = 75, and c = 50.

t = (-75 ± √(75^2 - 4(4.9)(50))) / 2(4.9)

t = (-75 ± √(5625 - 980)) / 9.8

t = (-75 ± √4645) / 9.8

t ≈ 7.55 seconds (rounding to 2 decimal places)

Therefore, the cannonball will hit the ground after approximately 7.55 seconds.

for the second one

since I don't have any specific values for g, v₀, or h, I can still write the general form of the projectile motion equation:

h(t) = -0.5gt^2 + v₀t + h₀

where g is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height.

I can then plug in these variable values into Desmos to plot the trajectory of the projectile.

Answer:

yayayayayayauauaudadaddadadadaddadaad.lolllollololololo

Answer:false

Step-by-step explanation:

Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.

A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.

Some of the most typical varieties are listed below:

Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.

Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.

Square - A rectangle with equally long sides.

Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.

Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.

Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.

Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.

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Answer:

Each student ticket costs $10, and each adult ticket costs $17.

Step-by-step explanation:

Let s represent the cost of a student ticket and a represent the cost of an adult ticket.

31s + 32a = 854

31s + 31a = 837

----------------------

a = 17

31s + 31(17) = 837

31s + 527 = 837

31s = 310, so s = 10

Answer:

I believe the answer is 18/1

Here, we need to perform a hypothesis test at the 0.025 level of significance to see if the mean installation time has changed.

The null and alternate hypotheses are as follows:

Null Hypothesis H0: µ = 6 (mean installation time is equal to 6 minutes)

Alternate Hypothesis H1: µ ≠ 6 (mean installation time is not equal to 6 minutes)

The level of significance (α) is given as 0.025. The sample size is 41. The sample mean is 5.4 minutes and the sample standard deviation is 1.3 minutes.

To perform the hypothesis test, we need to compute the test statistic and compare it with the critical value of the t-distribution at the given level of significance.

Step 1: Specify the level of significance. The level of significance is α = 0.025.

Step 2: Formulate the null and alternate hypothesis. The null and alternate hypothesis are given above.

Step 3: Determine the test statistic

Step 4: Determine the critical value - The critical value of the t-distribution can be found using a t-table or a calculator. Since this is a two-tailed test, the critical values will be tα/2, n-1 and -tα/2, n-1 where α/2 = 0.025/2 = 0.0125.The degrees of freedom are given by (n - 1) = (41 - 1) = 40.

Using the t-distribution table or a calculator, the critical values are:

t0.0125,40 = -2.704 and t0.9875,40 = 2.704

Step 5: Make the decision - Based on the computed test statistic and critical values, we can make the decision whether to reject or fail to reject the null hypothesis. Since this is a two-tailed test, we need to compare the absolute value of the test statistic with the absolute value of the critical value.t > t0.0125,40 or t < -t0.0125,40 => Reject the null hypothesis or fail to reject the null hypothesis

Substituting the values, we get:

|-2.2977| < 2.704. Hence, we fail to reject the null hypothesis.

Step 6: Draw a conclusion and interpret the decision - At a significance level of 0.025, there is not enough evidence to conclude that the new mean installation time is different from 6 minutes. Therefore, we fail to reject the null hypothesis. We can conclude that RodeTech's most popular computer program installation time has not changed significantly. Therefore, there is no need for RodeTech to change its advertising.

Thus, the main answer is D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the new mean installation time is different from 6 minutes and that RodeTech may need to change its advertising.

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Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

554,000

Step-by-step explanation:

that is the answer

Emma earns $554,064.80  in total in the first 11 years of her career

We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%

The formula for calculating future value:

FV = P (1 + r)^n

Where :

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

First year =  $39,000

Second year = 39,000 x (1.05) = $40,950

Third year = 39,000 x (1.05)^2 = $42,997.50

Fourth year = 39,000 x (1.05)^3 = $45,147.38

Fifth year = 39,000 x (1.05)^4 = $47,404.75

Sixth year = 39,000 x (1.05)^5 = $49,774.99

seventh year = 39,000 x (1.05)^6 = $52,263.74

eighth year = 39,000 x (1.05)^7 = $54,876.93

ninth year = 39,000 x (1.05)^8 = $57,620.78

tenth year = 39,000 x (1.05)^9 = $60,501.82

eleventh year = 39,000 x (1.05)^10 = $63,526.91

Sum of the earnings for the first eleven years = $554,064.80

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Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1:  Distribute

\(4.5(d + 3) = 45\)

\((4.5 * d) + (4.5 * 3) = 45\)

\(4.5d + 13.5 = 45\)

Step 2:  Subtract 13.5 from both sides

\(4.5d + 13.5 - 13.5 = 45 - 13.5\)

\(4.5d = 31.5\)

Step 3:  Divide both sides by 4.5

\(\frac{4.5d}{4.5} = \frac{31.5}{4.5}\)

\(d = 7\)

Step 4:  Determine what (d+3) is

\((d + 3)\)

\((7 + 3)\)

\(10\)

Answer: (d + 3) would be 10

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{\dfrac{4.5d}{4.5}= \dfrac{31.5}{4.5}}}\)

\(\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark\)

\(\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: f(8) = 34

Step-by-step explanation:

8f = 34 - Simplify the equation

If you want to find for the variable you would need to divide by 8, so f = 4.25 but it is asking what 8 multiplied by the variable is so the answer is 34.