If 6n+8=1-n
What does n=?

You have the following expression:

In order to determine if z=-5 is a solution to the previous equation, replace z=-5 and verify the equation, just as follow:

Hence, z=-5 is a solution of the given equation

The mapping statement for the transformation is: (x, y) -> (-(x) + 5, y + 3).

What is mapping?

In geometry, mapping is often used to describe transformations of geometric shapes, such as translations, rotations, reflections, and dilations.

Consider the triangle ABC, where A(1,-4), B(4,-4), and C(4,-2). Perform a reflection of this triangle over the y-axis, followed by a translation of 5 units to the right and 3 units up. Write the mapping statement for this transformation.

Solution:

The reflection over the y-axis can be represented by the mapping statement (x, y) -> (-x, y). Applying this to each vertex of the triangle ABC, we get:

A'(−1, −4), B'(−4, −4), C'(−4, −2)

Now, we apply the translation of 5 units to the right and 3 units up. This can be represented by the mapping statement (x, y) -> (x + 5, y + 3). Applying this to each vertex of the triangle A'B'C', we get:

A''(4, -1), B''(1, -1), C''(1, 1)

Therefore, the mapping statement for the transformation is:

(x, y) -> (-(x) + 5, y + 3)

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Step-by-step explanation:

is that really all ?

to simplify 12/2 and 12/3 ?

well, 12 can be divided by 2 and by 3 without remainder.

and so we get

12/2 = 6/1 = 6

12/3 = 4/1 = 4

d=first diver depth

s=second diver depth

d= 30

S= 30-12=18

the equation given and the gauge must be wrong because the equation for the second duvet souls be s=d-12 since the first diver is DEEPER than the second.

Step-by-step explanation:

180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesn't change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b)

Answer:

\(\boxed{\mathfrak{Question ~}}\)

What is the degree of polynomial?

\(\large\boxed{\mathfrak{Answer}}\)

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

\( {6x}^{4} + {2x}^{3} + 3\)

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial \(7y {}^{3} {z}^{2} \) is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)

Answer:

y+4=x

Step-by-step explanation:

desmos. com graphing calculator helps with things like this

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula:  A = P(1 + r/n)^(nt), where:

 P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

Then we have A = $1000(1 + 0.04/4)^(4*3), or

                            = $1000(1.01)^12  =  $1126.03

The area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.

When two side length of a triangle and the angle between them is given, the area is half the multiplication of the two sides and the sine of the angle.

Area of the triangle = 1/2 × 4.7 × sin162

Area of the triangle = 11.4738/2

Area of the triangle = 5.7369.

Therefore, the area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.

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Answer 0.90

Step-by-step explanation: she makes 0.90 cents we know because if you multiply it by 5 you get the equation.

As the concentration of a light-absorbing species in a solution increases, the absorbance of the solution also increases. This relationship is known as the Beer-Lambert Law.

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Answer: (8.5, 8)

Step-by-step explanation:

Answer:

y = 150x

Step-by-step explanation:

If y = savings and they save $150 each month then you can just multiply $150 by each month to get the total savings

Answer:

50 and 160

Step-by-step explanation:

good

Answer/Step-by-step explanation:

10 x 5 = 50

10 x 5 is the same as Ten 5's or Five 10's

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 50

10+10+10+10+10=50

Thurs, 10 x 5 = 50

::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

40 + 120 =160

 120        

+  40       < 20 + 40 = 60>

---------        < 100 + 60 > = 160

 160

[RevyBreeze]

Borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.

In the given scenario, there are two banks offering 20-year, $210,000 mortgages at 4.4 percent interest. The banks charge a $3,100 loan application fee. However, there is a difference between the banks regarding the refundability of the application fee.

Insecurity Bank and Trust: This bank charges a $3,100 loan application fee, which is refundable if the loan application is denied. In this case, the fee is considered part of the loan rather than a separate fee.

I. M. Greedy and Sons Mortgage Bank: This bank also charges a $3,100 loan application fee, but it is nonrefundable, meaning it will not be returned if the loan application is rejected.

The disclosure law requires that any fees that will be refunded if the applicant is rejected must be included in calculating the Annual Percentage Rate (APR). This is because these fees are considered part of the loan amount and have an impact on the overall cost of borrowing.

On the other hand, nonrefundable fees like the one charged by I. M. Greedy and Sons Mortgage Bank are not required to be included in the APR calculation. This is because these fees are treated as separate costs that are not directly part of the loan.

When comparing mortgage offers and determining the true cost of borrowing, it is important to consider not only the interest rate but also any associated fees. By including refundable fees in the APR calculation, borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.

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To calculate the surface aarea, we will use the formula;

T.S.A = 1/2 (pl) + B

where;

p= perimeter of the base

l= slant height

B= area of the base

From the diagram

l= 10 yard

P= 4(16) = 64 yard

B= 16 x 16= 256 yards

Substitute the value into the formula;

T.S.A = 1/2 (64)(10) + 256

=320 + 256

=576 inches²

Answer:

Maple grove associates

Step-by-step explanation:

Distance of 125 feet covered in 5 seconds, so the speed is 25 feet/second.

Any object's distance traveled in a unit of time is referred to as speed.

In mathematical term, Speed is express as S = D/T,

where S=speed, D=distance, T= time.

Given that,

The distance = 125 feet.

The time taken to cover the distance = 5 seconds.

To find the unit rate.

Apply formula,

speed = distance / time

          = 125 / 5

          = 25 feet / second

The required speed is 25 feet / second.

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Answer:

Step-by-step explanation:

Terms    Coefficient

-60           -60

6p                6

-4z                -4

Answer:

The terms of expression are −30, 6p, and −4z.

The coefficients are 6 and −4.

The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

Answer:

Length = 230yards

Explanation:

We were given that:

The figure is a rectangle

Perimeter = 624 yards

Width = 82 yards

Length = ?

We will find the Length as shown below:

Therefore, the length will need to be 230 yards

The expected value of the gain for this game is -0.88. This means that on average, a player can expect to lose about

88 cents per game.

To find the expected value of the gain, E[Y], we first need to calculate the probability of each possible outcome and the

corresponding gain.

Since the probability of heads is 0.4, the probability of tails is 0.6.

If X = 0 (no heads), the probability is \((0.6)^3 = 0.216\), and the gain is -5 (losing the bet).

If X = 1 (one head), the probability is \(3× (0.4)×(0.6)^2 = 0.432\), and the gain is -1 (losing 1).

If X = 2 (two heads), the probability is \(3×(0.4)^2×(0.6) = 0.288\), and the gain is -1 (losing 1) or 3 (winning 4).

If X = 3 (three heads), the probability is \((0.4)^3 = 0.064\), and the gain is 5 (winning 10).

Now we can calculate the expected value of the gain by multiplying each gain by its probability and summing them up:

E[Y] = (-5)×(0.216) + (-1)×(0.432 + 0.288) + 5×(0.064)

      = -0.88

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The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.

Why do aerobic processes generate more ATP?

Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.

How much ATP is utilized during aerobic exercise?

As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.

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Input data

18 mile river trip

$249

Ratio?

Procedure

R = ratio

13.8 dollars per mile

To calculate how many miles I can travel for one dollar we will use the following expression

You can travel 0.072 miles with one dollar.

If you're trying to find the angle of a circle, you can use the fact that the angle formed by two radii of a circle is equal to twice the arc tangent of the ratio of the radius to the distance between the radii.

Finding an angle can depend on the context in which it is needed.

However, here is a long answer that covers the basics.

If you're trying to find the angle between two lines, you can use the formula:
angle = arctan(m1) - arctan(m2)

where m1 and m2 are the slopes of the lines.

If you're trying to find the angle between two intersecting lines, you can use the fact that the angle formed by two intersecting lines is equal to the sum of the adjacent angles.

To find the adjacent angles, you can use the same formula as above to find the angle between each line and the x-axis.

If you're trying to find the angle of a triangle, you can use the Law of Cosines or the Law of Sines, depending on the information you have about the triangle.

If you're trying to find the angle of a circle, you can use the fact that the angle formed by two radii of a circle is equal to twice the arc tangent of the ratio of the radius to the distance between the radii.

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Answer:

5

Step-by-step explanation:

5y - 13 = 12

5y = 12+ 13

5y = 25

5y/5 = 25/5

y = 5

Answer:

5

Step-by-step explanation:

5y-13=12

12+13=25

5y=25

25/5=5

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

Given the ODE using Frobenius Method x²y"+x²y¹-2y = 0The Frobenius method is used to obtain the power series solution of a differential equation of the form:

xy″+p(x)y′+q(x)y=0Which is given in your question as: x²y"+x²y¹-2y = 0The general form of the Frobenius solution can be expressed as a power series of the form:y(x)=x^r ∑_(n=0)^(∞) a_n x^n+rwhere 'r' is any arbitrary constant and the 'a_n' coefficients are determined from the recurrence relation.

The Frobenius method consists of substituting this power series into the differential equation and equating the coefficient of the same powers of x to zero. This method can be used to solve any second-order differential equation having a regular singular point.

Therefore, substituting the given equation we get:$$ x^2 y'' + x^2 y' - 2y = 0 $$Let the solution of the given equation be:y(x) = ∑_(n=0)^(∞) a_n x^(n + r)Substituting this in the differential equation, we get:$$ x^2y'' + x^2y' - 2y = \sum_{n=0}^\infty a_n [(n+r)(n+r-1)x^{n+r} + (n+r)x^{n+r} - 2x^{n+r}] $$Equating the coefficient of each power of x to zero, we get:Coefficients of x^(r):$$ r(r-1)a_0 = 0 \Rightarrow r=0,1 $$Coefficients of x^(r + 1):$$ (r+1)r a_1 + (r+1)a_1 - 2a_0 = 0 $$Taking r = 0, we get:a_1 - 2a_0 = 0a_1 = 2a_0

The solution becomes:y_1(x) = a_0 [1 + 2x]Taking r = 1, we get:$$ 6a_2 + 3a_1 - 2a_0 = 0 $$a_2 = (1/6) [2a_0 - 3a_1]Substituting the value of a_1 from above, we get:a_2 = a_0/3The second solution is given by:y_2(x) = a_0 [x^2/3 - 2x/3]Therefore, the required solution of the given ODE using Frobenius method is:y(x) = c_1 y_1(x) + c_2 y_2(x)y(x) = c_1 [1 + 2x] + c_2 [x^2/3 - 2x/3]

Hence, the second and third-degree Legendre polynomials generated and the solution of the given ODE using the Frobenius method is obtained above.

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