Please answer!!!!!!!

Answer:

x = 2

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

\(\frac{6}{x+1}\) = \(\frac{4}{x}\) ( cross- multiply )

6x = 4(x + 1)

6x = 4x + 4 ( subtract 4x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

x=-9/7, y=22/7

Step-by-step explanation:

Since we're using substitution, and the second equation already has the y isolated on one side, we just substitute the 'y' in 4y from the first equation with the right side of the second equation, which gets us 2x+4(3x+7)=10. Then, we simplify to get that x=-9/7. Now, we use substitution again to replace the x value in the second equation to get y. So 3(-9/7)+7=y, y=22/7.

Final answer: x=-9/7, y=22/7

I hope this helped! :D

Respuesta:

12

Explicación paso a paso:

Para encontrar este número, necesitamos escribir una expresión algebraica y resolver x.

sea x = el número

\(4x+20=68\)

Resta 20 en ambos lados

\(4x=48\)

Dividir por 4

\(x=12\)

Nuestro número será 12

(a) The probability distribution of the number of machines not running, and the mean of this distribution is 0.899.

(b)The expected fraction of time that the repair technician will be busy is 88.9% of the time.  

(a) Let X be the number of machines not running. At that point, X can take on values 0, 1, 2, 3, or 4. We will discover the likelihood conveyance of X as takes after:

P(X = 0) = P(all machines are running) = \(e^(-84)^4\)/4! = 0.302

P(X = 1) = P(one machine isn't running) = (4)(\(e^(-84)^3\)/3!) = 0.393

P(X = 2) = P(two machines are not running) = (6)(\(e^(-84)^2\)/2!) = 0.236

P(X = 3) = P(three machines are not running) = (4)(\(e^(-84)^1\)/1!) = 0.067

P(X = 4) = P(all machines are not running) = \(e^(-8*4)^0\)/0! = 0.002

The cruel(mean)  of this dispersion is E(X) = (0)(0.302) + (1)(0.393) + (2)(0.236) + (3)(0.067) + (4)(0.002) = 0.899.

(b) Let Y be the division of time that the repair specialist is active. At that point, Y can be communicated as

Y = T/(T + R),

where T is the full time that machines are not running

and R is the entire time that went through on repairs.

We know that

T has an Erlang dispersion with parameters

n = 4 and λ = 1/8 (since the running time of each machine has exponential dissemination with cruel 8 hours).

Subsequently, the anticipated esteem of T is E(T) = n/λ = 32 hours.

Additionally, R has an exponential dispersion with cruel 4 hours,

so E(R) = 4 hours. In this way, we have:

E(Y) = E(T/(T + R))

= E(T)/E(T + R)

= 32/(32 + 4)

= 0.889.

In this manner, ready to anticipate the repair professional to be active around 88.9% of the time. 

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Factoring the roots, the values of A and B are given as follows:

The expression is:

\(\sqrt{\frac{45\alpha z^3}{40y}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}\)

We have that:

\(\frac{45}{40} = \frac{9}{8}\)

Hence:

\(\sqrt{\frac{45\alpha z^3}{40y}} = \sqrt{\frac{9\alpha z^3}{8}} = \sqrt{\frac{9\alpha z^2 \times z}{4 \times 2}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}\)

Hence, comparing the last two equalities:

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The residue from $0 to $82 is 44 ≡ x(mod83)

17−1≡x(mod83)

17∗17−1≡17x(mod83)      

5∗1≡5∗17=85(mod83)

5≡2x(mod83)

42∗5=210≡2∗42x=84x≡x(mod83)

44 ≡ x(mod83).

A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:

(+) Addition

Subtraction (-) (-)

() Multiplication            

() division

In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as

Let's look at an ice cream multiplication example.              

There are two  groups, each has its own ice cream.

The total number of ice creams is 2x3=6    

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Answer:

0.702

Step-by-step explanation:

Answer:

the answer is 5:7

Step-by-step explanation:

as a fraction, the ratio looks like this:

1500/2100

where 1500 is the number of rolls with double prints and 2100 is the amount of rolls developed.

if you simplify the fraction, you get 5/7.

5/7 is 5:7 written as a ratio in this problem.

hope this helped!!

The Bode plot of the system with the given transfer function can be sketched as follows: Gain |h(jω)|:presence of a pole at jω = 0. Phase shift ∠h(jω): decrease with a slope of -90

1. Gain |h(jω)|:

At low frequencies (ω → 0), the magnitude of the transfer function approaches 0. As the frequency increases, the gain increases logarithmically until reaching a peak. Then, it starts decreasing with a slope of -20 dB/decade due to the presence of a pole at jω = 0. At high frequencies (ω → ∞), the gain approaches 0 again.

2. Phase shift ∠h(jω):

At low frequencies, the phase shift is 0 degrees. As the frequency increases, the phase shift gradually decreases until reaching a phase shift of -180 degrees at the peak frequency. Beyond the peak frequency, the phase shift continues to decrease with a slope of -90 degrees/decade due to the presence of a double pole at jω = -5.

It's important to note that the Bode plot assumes a logarithmic scale for both frequency and gain. The plot allows us to visualize the behavior of the system in terms of gain and phase shift as the frequency changes.

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Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

To factor the quadratic expression 3x^2 - x - 2, we need to find two binomials that, when multiplied, give us the original expression.

The factored form of the quadratic expression can be determined by breaking down the middle term (-x) into two terms whose coefficients multiply to give the product of the coefficient of the squared term (3) and the constant term (-2). In this case, the product is -6. We are looking for two numbers whose sum is equal to -1 (the coefficient of the middle term) and whose product is equal to -6.

The numbers that satisfy these conditions are -3 and 2. We can now rewrite the expression using these numbers:

3x^2 - x - 2 = 3x^2 - 3x + 2x - 2

Next, we group the terms and factor by grouping:

(3x^2 - 3x) + (2x - 2) = 3x(x - 1) + 2(x - 1)

Now, we can see that we have a common binomial factor of (x - 1) in both terms. We can factor this out:

3x(x - 1) + 2(x - 1) = (3x + 2)(x - 1)

Therefore, the factored form of the quadratic expression 3x^2 - x - 2 is (3x + 2)(x - 1).

Answer:

60 square feet

Step-by-step explanation:

area= length*width

a=5*12

a=60

Answer: 60 ft²

Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.

Since the length of the rectangle is 12 feet and the width of the rectangle

is 5 feet, we plug this information into the formula for length and width

and we have (12 ft)(5 ft) which simplifies to 60 ft².

So the area of the rectangular bedroom wall is 60 ft².

Together, Lindsay and Lorraine needs to jump 21 more jumps in a row.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Number of jumps got by Lindsay = 14

Number of jumps got by Lorraine = 13

Total number of jumps gotten by both = 27

Let j be the number of jumps they need to jump more.

j = 48 - 27

j = 21

Hence 21 more jumps would be needed.

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Answer:

66

Step-by-step explanation:

Answer:

600045

Step-by-step explanation:

Answer:

Hmm the answer might be 600045

Step-by-step explanation:

So what you do is that you add them up using your calculator or brain.

Answer:

for the swimming question 13

for cds question 41

Answer:

Step-by-step explanation:

56.1,12.1,23.6

Answer:

Step-by-step explanation:

Answer:

13 years

Step-by-step explanation:

Intuition for how sons can collectively win after a certain period of time:- After a certain period of time the father's age will increase by that certain period of time (say 5 years) but for the sons (since there are 3 of them) their collective age will increase by three times that of their father (5 for each 1 one them). Therefore there exist a time after which collective increase in sons' age can cover the current gap of 13 years.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

C x = 66 : y = 17

Step-by-step explanation:

since 2x - 3 and 129 are vertical angles you know that they are equal so you can make the equation 2x -3 = 129 you add 3 to both sides to get 2x = 132 then you decide by 2 to get x = 66

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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The value of the shaded area is approximately 34.907 square centimeters.

According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector (\(A\)), in square centimeters:

\(A = \frac{\theta\cdot \pi \cdot R^{2}}{360}\) (1)

Where:

If we know that \(\theta = 40^{\circ}\) and \(R = 10\,cm\), then the area of the circle is:

\(A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}\)

\(A\approx 34.907\,cm^{2}\)

The value of the shaded area is approximately 34.907 square centimeters. \(\blacksquare\)

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Answer:

if u need to write an equation for it, it would be |2x-11| =7

Answer:

76

Step-by-step explanation:

-4x + 104 = -200

-4x = -304

4x = 304

x=76

The slope of the line in the diagram shon is

B. 1/3

In mathematics, slope refers to the measure of how steep a line is. It quantifies the rate at which a line rises or falls as it moves horizontally.

Slope is typically denoted by the letter "m" and is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

To calculate slope we use the formula

= vertical distance / horizontal distance

= 1 / 3

hence the  slope of the line is 1/3

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The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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Answer: 43

Step-by-step explanation:

Lets start with the result. First add the number you subtracted with 73

= 73+13=86

Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.

86/2= 43

Hence the Answer or the First Number was 43

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