Solution for 3x-8y=29 3x+y=-2

Answer

-3 + 4i

Explanation

The standard form for a complex number is given by:

From the graph, the coordinates of A corresponding to the real axis and imaginary axis is traced in blue color in the graph below:

Hence, the standard form of the complex number that a represents is: -3 + 4i

The degree of the provided polynomial is 18, and the leading term is √7.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

\(= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9\)

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

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Answer:

  7. inverse relationship; equation: y = 16/x

  8. no relationship; no equation

Step-by-step explanation:

The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.

__

In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.

 relationship: inverse

  y = 16/x

__

As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 7

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 16 by the x-value.

\(\sf y=\dfrac{16}{x}\)

Question 8

As the x-value increases, the y-value increases.  

The y-value increases by a factor of 2 for each x-value increase of 1 unit from 1 ≤ x ≤ 4 and 5 ≤ x ≤ 6.

\(\sf y=2^x \ for \ 1\leq x\leq 4\)

\(\sf y=2^{(x+3)} \ for \ 5\leq x \leq 6\)

These are separate exponential relations for restricted domains.

So there doesn't appear to be one relationship for a non-restricted domain.

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

In the case of 9 x 9, using the Commutative Property, we can rewrite it as 9 x 9 = 9 x 9. The product of these two factors is 81, which is the same regardless of the order of the factors.

The Commutative Property of Multiplication is one of the fundamental properties of arithmetic. It states that the order of the factors in a multiplication expression does not affect the product. In other words, you can multiply two numbers in any order and still get the same result.

For example, if you have the multiplication expression 2 x 5, you can switch the order of the factors and write it as 5 x 2, and the result is still the same:

2 x 5 = 5 x 2 = 10

Similarly, for the expression 3 x 4, you can switch the order of the factors and write it as 4 x 3, and the result is still the same:

3 x 4 = 4 x 3 = 12

The Commutative Property is a fundamental property of multiplication, and it is used in many mathematical operations, including simplifying expressions, solving equations, and more.

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The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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Answer:

7.5 in

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes, a sphere.

We know that the volume of a sphere is expresses as

V= (4/3) πr³

Given that the volume of the sphere is

1767.1459 in³

To solve for the radius r we need to substitute the value of the volume in the expression for the volume we have

Step two

1767.1459= (4/3) πr³

1767.1459*3= 4πr³

5301.4377/4*3.142=r³

421.82031=r³

Step three

To get r we need to cube both sides we have

r= ³√421.82031

r= 7.49967589711

To the nearest tenth

r= 7.5 in

Answer:

y = 15x

Step-by-step explanation:

If take the values of x and y you can see the equation

y=15x

I would sell the 1 MW of electricity contract for 12 PM at the bid price of 95 pounds/MWh, and lock in a loss of 5 pounds/MWh.

The projection for solar power has increased from 4 GW to 4.5 GW, which suggests that there will be more electricity available than anticipated by 12 PM, which would probably result in a decrease in market pricing.

The market is illiquid and volatile, as seen by the bid-offer spread of 10 pounds/MWh, and if I wait, the price may swing even further against me.

Regarding the supply or demand of electricity at 12 PM, I have no additional knowledge or predictions, and I don't want to guess on how the market will behave.

Instead of sticking onto the contract and expecting for a price increase, I would rather close my position and reduce the chance of more losses.

Since I am a risk-averse trader, I don't want to expose myself to the electrical market unnecessarily.

I don't have any other investments or hedging plans in the power market that would influence my choice.

I am free to purchase or sell any quantity or grade of power at 12 PM without any restrictions or commitments.

Forecasts and market prices are accurate and reflect actual supply and demand dynamics.

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The solution to the equation for the initial value problem is y(x) =\((1 + (2x^3/3 - x^2 + x))/((x^3 - 3x^2 + 6x - 6)^(1/3))\). It is valid for all x ≥ 0.

First, solve for y': \(1 + 3x^2*y^2 - 6y = 0.\)

Next, divide both sides by \(3x^2: y^2 - 2y/x + 1/x^2 = 0.\)

Use the quadratic formula to solve for y: y = \((2/x +- sqrt [4/x^2 - 4/x^3])/2.\)

Now, plug in y(0) = 1 to obtain the equation \((2/x + sqrt [4/x^2 - 4/x^3])/2 = 1.\)

Solving this equation, x = 0 and x = 3.

Next, integrate both sides of the original equation to get y(x) = \((1 + (2x^3/3 - x^2 + x))/((x^3 - 3x^2 + 6x - 6)^(1/3)).\)

Finally, the solution to the initial value problem is valid for all x ≥ 0.

The complete question: solve the initial value problem

y'=(1+3x2)/(3y2−6y),y(0)=1

and determine the interval in which the solution is valid. Hint: To find the interval of definition, look for points where the integral curve has a vertical tangent.

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Answer:

a) The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b) No, since May is a month with a wide range of possible weather.

Step-by-step explanation:

a)

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

42% of 1001 randomly selected adult Americans made plans in May 2005 based on a weather report that turned out to be wrong.

This means that \(p = 0.42, n = 1001\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.3798\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{1001}} = 0.4602\)

The 99% confidence interval for the proportion of Americans who made plans in May 2005 based on an incorrect weather report is (0.3798,0.4602). This means that we are 99% sure that the true population proportion is in this interval.

b. Do you think it is reasonable to generalize this estimate to other months of the year

No, since May is a month with a vast number of possible outcomes, as it is in the spring, not being in the winter(cold) or summer(hot), which means that it can be both hot or cold, wet or dry,...

Answer:

b = 4

Step-by-step explanation:

3b = 12

Divide both sides by 3.

\(b = \frac{12}{3}\)

Divide 12 by 3 to get 4.

b = 4

Hope it helps and have a great day! =D

~sunshine~

Answer:

B=4

Step-by-step explanation:

B is something called a variable. It is basically a "placeholder" for any number. To solve for the variable, be sure to have the number next to it (or coefficient) to be 1.

Here is how to solve:

\(3b=12\\\)

We need to divide both sides by 3 in order to make the coefficient be 1. (Note that a coefficient of 1 means that there is no number next to the variable)

\(\frac{3b}{3} =\frac{12}{3}\)

Now, we just solve!

\(\frac{3b}{3} =\frac{12}{3} \\b=4\)

Hope this helps! :)

Answer:

6 miles

Step-by-step explanation:

Since the perimeter of the whole park is 20 feet, if 2 sides combined is 14 miles, the other side of the park is going to be 6 miles. 20 - 14 = 6

Answer:

769

Step-by-step explanation:

512

+217

____

729

hope this helps

the fraction answer is 7 9/14 lol

Answer:

$72 would be the retail price

Step-by-step explanation:

Answer:

1. 36, 49, 64, 81

The pattern is going up by squares.  

2. 1/162, 1/486, 1/1458

The pattern is 1/3n.

Step-by-step explanation:

1. Before the blank spaces started we were at 5^2, or 25.  Now, we have to find 6^2, 7^2, 8^2, and 9^2.  That would be 36, 49, 64, and 81. It goes up by squares.

2. As the pattern continues, each number in the sequence is multiplied by 1/3 create the next number in the sequence.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer: Use “Desmos”.

Step-by-step explanation:

Desmos can show you how the numbers look when they are graphed, but not how to graph them.

The solutions to this system of conics is; x = 6 and y = -4

We are given the system of equations as;

(x - 1)² + (y + 4)² = 25    ------(eq 1)

(x - 1)²/25 + (y + 4)²/100 = 1  ------(eq 2)

From eq 1, we can make (x - 1)² the subject to get;

(x - 1)² = 25 - (y + 4)²  ----(eq 3)

Plug in eq 3 into eq 2 to get;

(25 - (y + 4)²)/25 + (y + 4)²/100 = 1

Multiply through by 100 to get;

4(25 - (y + 4)²) + (y + 4)² = 100

100 - 4(y + 4)² +  (y + 4)² = 100

Solving for y gives y = -4

Plug in -4 for y into eq 1 to get;

(x - 1)² + (-4 + 4)² = 25

√(x - 1)² = √25

x - 1 = 5

x = 6

Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.

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Answer: The set {x|−7 < x} can be written in interval notation as (-infinity, -7) < x.

This set represents all real numbers greater than -7. The interval notation uses the less-than symbol (<) to represent that all values of x greater than -7 are included in the set. The interval notation uses the infinity symbol to represent the fact that there are no limits on the lower end of the interval.

It's important to note that the interval notation includes the endpoint values when it is in the form of (a,b) or [a,b) but it does not include endpoint values when it is in the form of (a,b] or [a,b].

Step-by-step explanation:

Answer: n=3.8

Step-by-step explanation:

It is long but does a good job of explaining it

Let's solve your equation step-by-step.

0.3(n−5)=0.4−0.2n

Step 1: Simplify both sides of the equation.

0.3(n−5)=0.4−0.2n

(0.3)(n)+(0.3)(−5)=0.4+−0.2n(Distribute)

0.3n+−1.5=0.4+−0.2n

0.3n−1.5=−0.2n+0.4

Step 2: Add 0.2n to both sides.

0.3n−1.5+0.2n=−0.2n+0.4+0.2n

0.5n−1.5=0.4

Step 3: Add 1.5 to both sides.

0.5n−1.5+1.5=0.4+1.5

0.5n=1.9

Step 4: Divide both sides by 0.5.

0.5n

0.5

=

1.9

0.5

n=3.8

Answer:

3.8

Step-by-step explanation:

The length of the base is 15 feet and the height is 12 feet.

The three line fragments are known as the sides of the triangle, while the three places where they converge are known as the vertices of the triangle.

Let suppose, base of the triangle = x

Then, according to the problem, the height of the triangle is x - 3.

We know the area of triangle is,

\(A = \frac{1}{2}*b*h\)  ;   here A is the area, h is the height and b is the base.

Put the given values,

\(90 = \frac{1}{2} *(x)*(x-3)\)

Multiplying both sides by 2:

180 = x² - 3x

x² - 3x - 180 = 0

(x - 15)(x + 12) = 0

Therefore, either x - 15 = 0 or x + 12 = 0.

If x - 15 = 0, then x = 15, which is the length of the base of the triangle.

If x + 12 = 0, then x = -12, which is not a valid solution since the length of a side of a triangle cannot be negative.

Therefore, the length of the base of the triangle is 15 feet.

The height of the triangle (x - 3), so the height is: (15 - 3) = 12 feet.

Hence, the length of the base is 15 feet and the height is 12 feet.

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76, 860, 001 in words is Seventy six million, eight hundred and sixty thousand and one.

Hope this helps; please mark BRAINLIEST.

Answer:

seventy six million eight hundred and sixty thousandth and 1

Step-by-step explanation:

The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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Answer:

A

Step-by-step explanation:

just try to get a chance to

Answer:

138

Step-by-step explanation:

i took the same quiz.

Answer:

x ≥ 12

Step-by-step explanation:

-3/4x +2 ≤ -7

Subtract 2 from each side

-3/4x +2-2 ≤ -7-2

-3/4x  ≤ -9

Multiply each side by -4/3, remembering to flip the inequality

-3/4x * -4/3 ≥ - 9 *(-4/3)

x ≥ 12

Answer:

x>=12

Step-by-step explanation:

-3/4x + 2<=-7

-3/4x <= -7 -2

-3/4x<=-9

cross multiply

-3x<=-36

dividing throughout by -3

x>=12

DFS can be used because the graph is directed and all of the edge weights are positive.

What is Algorithms?

An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially. All aspects of IT employ algorithms extensively.

Steps can be taken. There may be a path from v to z* but not from z* to v or different from each with different weights, so we just need to apply DFS, dijkstras twice, starting with vertex v, to find the path length until z*. Then we need to add the path weights.

The problem is clear in that we need to find path weight from v to z* and z* to v. There may be more than one path that leads from v to z*, thus we must locate them all and store some of them because each loop will require a time complexity of O(V+E).

where, in the given graph, E stands for edges and V for vertex. When a graph is complete, meaning there is a path connecting every vertex to every other vertex, we must execute this technique V times to determine the total number of paths. As a result, the time complexity is O(V(V+E)).

Then we must repeat the process from z* to v, but this time we must choose every path whose weights satisfy the specified condition. In the worst case, we must repeat this process (V-1) times, thus the time complexity will be the same as before. As a result, our time complexity will be O(V(V+E)) overall.

Since the graph is directed and every edge weight is positive, DFS may be used.

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