Are the following equations parallel, perpendicular or neither?
=
y = 4x + 2
y = -4x - 1

Answer:

1/2 din 5 €

Step-by-step explanation:

Opțiunea 1

1/4 din 5 €

= 1/4 × 5 €

= 1,25 €

Opțiunea 2

1/2 din 5 €

= 1/2 × 5 €

= 2,5 €

Prin urmare, opțiunea care ar însemna mai mulți bani este 1/2 din 5 €

Answer:

23299jhrd

Step-by-step explanation:

Lol

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

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Answer:

The Scale Factor is 1/4.

Step-by-step explanation:

if you multiply each side (of figure A) by 1/4, the product matches with figure B's corresponding sides. for example, 56 to 14, 28 to 7, and 64 to 16.

the scale factor is just how much a chosen shape is multiplied by to get the next shape.

to get bigger shapes into a smaller shape, multiply the sides by fractions like we did this problem.

The equation of the line normal to the curve y = 8tan(x^2) at x = 0.1825 is y ≈ -0.117x + 1.451

To find the equation of the line normal to the curve y = 8tan(x^2) at x = 0.1825, we need to follow these steps:

Find the derivative of the curve y = 8tan(x^2) using the chain rule.

y' = 16xsec^2(x^2)

Evaluate the derivative at x = 0.1825 to find the slope of the tangent line at that point.

y'(0.1825) = 16(0.1825)sec^2(0.1825^2) ≈ 1.559

Since the normal line is perpendicular to the tangent line, its slope will be the negative reciprocal of the tangent line's slope.

m_normal = -1/m_tangent = -1/1.559 ≈ -0.641

Use the point-slope form of the equation of a line to find the equation of the normal line, using the point (0.1825, 8tan(0.1825^2)).

y - 8tan(0.1825^2) = -0.641(x - 0.1825)

Simplifying this equation, we get:

y ≈ -0.117x + 1.451

Therefore, the equation of the line normal to the curve y = 8tan(x^2) at x = 0.1825 is y ≈ -0.117x + 1.451.

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9514 1404 393

Answer:

  $319,525.64

Step-by-step explanation:

It appears you want the interest to accumulate for 15 years before you pay anything on the loan. The value of $180,000 appreciating at 3.9% annually will be ...

  $180,000·(1 +0.039)^15 = $319,525.64

If your lender allows you to wait 15 years before making any payment, your payment will be $319,525.64.

__

Additional comment

Home loans are usually paid with monthly payments computed from the formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment on principal P, r is the annual interest rate, t is the number of years.

For your $180,000 loan, the monthly payment is ...

  A = $180,000·(0.039/12)/(1 -(1 +0.039/12)^(-12·15)) ≈ $1322.44

The total of those payments is ...

  180·$1322.44 = $238,039.20

If you pay $1322.44 monthly on the loan, your total payment is $238,039.20.

Answer:

Inscribed angle

Step-by-step explanation:

Central angles have the vertex as the center of the circle, and chords are not angles

Angle 1 is 35°, angle 2 is 65°, angle 3 is 29°, angle 4 is 115°, angle 5 is 65°, angle 6 is 36° and finally angle 7 is 144° considering the shape triangle whenever possible.

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Considering the triangle that is containing angle 3 along with the angles 90° and 61° and as we know the sum of angles in a triangle = 180° so the angle 3 is 29°

As we know that opposite angles are equal we can say that angle 4 is 115°

Now considering the triangle that contain angle 3 which is 29° and angle 4 which is 115°  we can say that angle 6 is 36° by applying sum of angles in a triangle.

Considering the triangle that consists of angles 1 , 6 and 80°+ angle 3 we can say that angle 1 is 35°

now considering the trinaglewith angles 1, 2 and 80° we can say that angle 2 is  65°

As we know that opposite angles are equal we can that angle 5 is same as angle 2 which is 65°.

Finally as angle 6 + angle 7 sum = 180° as they are on the straight line

we can say that angle 7 is 144°

Angle 1 is 35°, angle 2 is 65°, angle 3 is 29°, angle 4 is 115°, angle 5 is 65°, angle 6 is 36° and finally angle 7 is 144° considering the shape triangle whenever possible.

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Answer: i would say feet per minute

Step-by-step explanation:seems more reasonable

Answer:

The solution set is {-6, -2}.

Step-by-step explanation:

x^2 + 8x + 15 = 3

x^2 + 8x = -12

Completing the square:

(x + 4)^2 - 16 = -12

(x + 4)^2 = 4

Taking square roots of both sides:

x + 4 =  +/- 2

x = 2 - 4 = -2  or x = -2-4 = -6.

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

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Answer:

Use mathematical skills to acquire the correct answer of 7.

Step-by-step explanation:

Hee hee hee haw.

Answer:

7 is the answer

Step-by-step explanation:

3x + 8 = 29

or, 3x + 8 - 8 = 29 - 8

or, 3x = 21

or, 3x/3 = 21/3

or, x = 7

Answer:

it's a

Step-by-step explanation:

its a on edge

Answer: A

Step-by-step explanation:

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.

Answer:

9 laps

Step-by-step explanation:

Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

The Probability of reverse alphabetical order is 1.04x10^-26, Probability of z being the first letter is 0.0385, Probability of z preceding a is 0.5, Probability of a preceding z is 0.0385, Probability of a, m, z in order is 0.00274, Probability of m, n, o in original positions is 0.00274.

The probability that the permutation consists of the letters in reverse alphabetic order is 1/(26!), which is approximately 1.04 x 10^-26. This is because there is only one permutation out of the 26! possible permutations that satisfies this condition.

The probability that z is the first letter of the permutation is 1/26, which is approximately 0.0385. This is because there is only one way to select z to be the first letter out of the 26 possible choices.

The probability that z precedes a in the permutation is 1/2, which is 0.5. This is because in any permutation of the 26 letters, z and a are equally likely to appear before or after each other.

The probability that a immediately precedes z in the permutation is (24!)/(26!), which is approximately 0.0385. This is because once the positions of a and z are fixed in the permutation, there are 24! ways to arrange the remaining 24 letters, out of the 26! possible permutations.

The probability that a immediately precedes m, which immediately precedes z in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of a, m, and z are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.

The probability that m, n, and o are in their original places in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of m, n, and o are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.

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Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Pinot Noir wines were evaluated by a panel of eight judges. The judges are assumed to be a random selection from all possible judges. The objective is to analyze the data from the evaluations

To analyze the data, we would consider the evaluations of the three Pinot Noir wines by the eight judges. This information allows us to assess the preferences and opinions of the panel regarding the wines. We can examine various aspects such as the average ratings, individual judge's scores, and any patterns or trends that emerge from the evaluations.

By analyzing the data, we can determine the level of agreement among the judges, identify any variations in their ratings, and gain insights into the overall quality and preference of the wines. Additionally, we can explore statistical techniques to summarize the data, such as calculating mean scores, standard deviations, and conducting hypothesis tests to compare the wines or assess the reliability of the judges' evaluations.

Overall, the evaluation by a random panel of judges provides an opportunity to understand the characteristics and perceived quality of the three Pinot Noir wines based on the judgments of the selected panel.

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Answer:

Step-by-step explanation:

Using the triangle inequality theorem, option A is the correct answer.

These three segments can form a triangle. According to the triangle inequality theorem -"Any side of a triangle must be shorter than the other two sides added together".

Using this theorem and taking each side

Case 1 -    AC = 9  

AC< BC+BA

9< 4+11

9< 15

This follows the theorem.

Case 2 -  BC = 4

BC< AC+BA

4< 9+11

4< 20

This follows the theorem.

Case 3 -  BA=11

BA< AC+BC

11< 9+4

11< 13

This follows the theorem.

Hence, it is true that the segments given can form a triangle.

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Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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since m▲n=m^2-2mn+n^3

3▲2=3^2-2*3*2+2^3

=9-12+8

=17-12

=15

Done!

\(\large\underline{\underline{ \sf\maltese Correct \ Question :- }}\)

If m ∆ n means m²-2mm+n², determine the value of 3∆2.

\(\large\underline{\underline{ \sf\maltese Answer :- }}\)

Here we are given that m ∆ n means m² -2mn +n². And we need to find the value of 3∆2 . So let's find out what does the " ∆ " operator does.

Here we can see that m² - 2mn - n² is the whole square of ( m - n)² . A inference can be taken out that the operator " ∆ " first subtracts the two numbers and then squares the obtained value to get the result . That is ,

\(\sf\implies m \Delta n = ( m - n )^2 \)

Now similarly let's simplify out 3 ∆ 2.

Step 1 : Subtract the two numbers :-

This means we need to subtract 2 from 3 . This will give result as ,

\(\sf\implies Result_1 = 3 - 2 =\pink{1} \)

Step 2 : Square the obtained value :-

Here , the value obtained from step 1 is 1 and the square of 1 is 1 . So our final result would be,

\(\sf\implies Result_{(final)}= 1^2 = \boxed{\pink{ 1 }} \)

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

On solving the provided question, we can say that - by solving the equation,  jake is of 21 years

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. A formula that claims two formulae are equal is the definition of an equation in algebra in its most basic form. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.

Given that Rita is 17 years old and Jack is 4 years older, what is Jack's age

Solution,

Let Jack's age be x.

The answer to the query is

\(x = 1 7 + 4\\x = 21\)

Jack is therefore 17 years old.

As a result, the answer to the question and its explanation are provided above.

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Answer:

96

Step-by-step explanation:

its a simple problem

Answer:

Step-by-step explanation:

x = 3  and y = 4

Plugin the value of x and y in the expression.

3x² + 24y = 3*3² + 24*4

                = 3*9 + 96

                = 27 + 96

               = 123

The Answer Is :

0.015625

Answer:

Step-by-step explanation:

See screenshot
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lol I'm improve my rank so brainliest would help a lot :]

Answer:

112

Step-by-step explanation:

28/25%

Answer:

\(1:5:-2\)

Step-by-step explanation:

\(12-8:4+16:(-8) = 4:20:-8\)

\(=1:5:-2\) (divide by \(4\) on each side)

Hope this helps :)