solve for x 2x-2+4x-5

9514 1404 393

Answer:

  \({n^\frac{4}{5}\)

Step-by-step explanation:

The expression you show evaluates to (5/n)(4) = 20/n. Since you're referring to rational exponents, we assume you want to rewrite ...

  \(\sqrt[5]{n^4}\)

A root index is the same as a fractional exponent with that index in the denominator. Then this expression is rewritten as ...

  \(\sqrt[5]{n^4}=(n^4)^{\frac{1}{5}}=\boxed{n^{\frac{4}{5}}}\)

When parking next to a curb, you may not park more than 12 inches away from the curb.

Curb parking refers to the practice of parking a car alongside the road, adjacent to the curb. It is a common method of parking in urban areas where designated parking spaces may be limited. When parking parallel to the road, vehicles are positioned with either the front or back bumper facing the direction of the road.

To ensure safe and efficient use of road space, there are regulations in place regarding curb parking. One important regulation is the requirement to park within a certain distance from the curb. In general, vehicles are not allowed to park more than 12 inches away from the curb.

The purpose of this regulation is to maintain an organized and orderly parking arrangement, allowing for the smooth flow of traffic and the safe passage of pedestrians. By parking close to the curb, vehicles minimize obstruction to other vehicles and ensure that the road remains clear for traffic.

It is essential for drivers to adhere to these parking regulations to avoid fines or penalties and to contribute to the overall safety and functionality of the road.

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We can say that the two means are significantly different from one another.

The critical t-scores refer to the t-values that represent the boundaries of the rejection region in a t-test. In this case, the critical t-scores are +/- 1.995. These values are obtained from a t-table with the degrees of freedom (df) equal to the smaller of the two sample sizes minus 1.

The t statistic is the calculated value from the t-test, which measures the difference between the sample means in standard error units. In this case, the t statistic is 2.55.

Since the t statistic lies outside the critical region (i.e., it is greater than 1.995), we can reject the null hypothesis that there is no difference between the means of the two populations. We can conclude that the difference between the means is statistically significant at the chosen significance level.

Therefore, we can say that the two means are significantly different from one another.

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The given inequality is\(\(\frac{\left(\sqrt{9-x}-\left|3x-4\right|\right)}{\sqrt{x+2}-\left|3x-4\right|}\leq1\)\). The solution to this inequality is\(\(x\leq\frac{4}{3}\)\).

To solve the inequality, let's analyze the terms separately. The expression\(\(\sqrt{9-x}\)\) will be real only if\(\(9-x\geq0\)\), which means \(\(x\leq9\).\)
Next, consider the term\(\(\left|3x-4\right|\)\). The absolute value\(\(\left|3x-4\right|\)\) will be positive or zero .

So we can consider two cases\(: \(3x-4\geq0\) and \(3x-4 < 0\).\)
Case 1\(: \(3x-4\geq0\)\)
In this case, the absolute value term becomes\(\(3x-4\)\), and the inequality becomes \((\frac{\left(\sqrt{9-x}-(3x-4)\right)}{\sqrt{x+2}-(3x-4)}\leq1\)\).

Simplifying further, we get\(\(\sqrt{9-x}\leq\sqrt{x+2}\)\).
Squaring both sides of the inequality, we have\(\(9-x\leq x+2\), which gives \(2x\geq7\) or \(x\geq\frac{7}{2}\).\)
Case 2: \(\(3x-4 < 0\)\)
In this case, the absolute value term becomes \(-(3x-4)\), and the inequality becomes\(\(\frac{\left(\sqrt{9-x}+(3x-4)\right)}{\sqrt{x+2}+(3x-4)}\leq1\)\).

Simplifying further, we get\(\(\sqrt{9-x}\geq\sqrt{x+2}\)\).
Squaring both sides of the inequality,

We  \(have \(9-x\geq x+2\),\)which gives \(\(2x\leq7\) or \(x\leq\frac{7}{2}\).\)
Combining both cases, we find that \(\(x\leq\frac{7}{2}\)\) satisfies the inequality.
Therefore, the solution to the given inequality is\(\(x\leq\frac{4}{3}\)\)

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Answer:

It is going to be a dashed line and shaded above the line

x intercept- (-2.4,0) y intercept- (0,-4)

Step-by-step explanation:

Hope that helped :)

Answer:

nfDIIIIIIIIII

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

using the property of exponents

• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

3x²\(y^{5}\) × 4x³\(y^{7}\) ( separate like parts in the product )

= 3 × 4 × x² × x³ × \(y^{5}\) × \(y^{7}\)

= 12 × \(x^{(2+3)}\) × \(y^{(5+7)}\)

= 12\(x^{5}\)\(y^{12}\)

0.5 = 5/10 = 1/2

The answer is 1/2

Answer:

255 is the highest decimal value a byte can represent.

Step-by-step explanation:

The distance from Jessica's school to her house is 7.48 miles.

Consider following diagram.

In right triangle ABC, vertex B is the Jessica's house vertex A be her school.

The route from her house to school consists of two straight legs.

She drives straight for 5 miles, and then she makes a right turn of 45 degrees and drives another 9 miles.

⇒ BC = 5 miles and AC = 9 miles

We need to find the distance from Jessica's school to her house in miles.

i.e., we need to find AB

Using Pythagoras theorem,

AC² = AB² + BC²

9² = AB² + 5²

AB = √(81 - 25)

AB = 7.48

Therefore, the distance from Jessica's school to her house is 7.48 miles.

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To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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The polar coordinates for (-73√2, 72) are approximately (103.077, 6.017).

A. To convert the Cartesian coordinates (-72, 73√2) to polar coordinates (r, θ), we can use the following formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the values, we have:

r = √((-72)^2 + (73√2)^2) ≈ 103.077

θ = arctan((73√2)/(-72))

Since the angle θ can be in the range 0 < θ ≤ 2π, we need to adjust the angle based on the quadrant of the Cartesian coordinates. In this case, the point lies in the third quadrant, so we add π to the angle obtained from the arctan function.

θ ≈ arctan((73√2)/(-72)) + π ≈ 3.267 + 3.141 ≈ 6.408

Therefore, the polar coordinates for (-72, 73√2) are approximately (103.077, 6.408).

B. To convert the Cartesian coordinates (-73√2, 72) to polar coordinates (r, θ), we can use the same formulas as before:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the values, we have:

r = √((-73√2)^2 + 72^2) ≈ 103.077

θ = arctan(72/(-73√2))

Similarly, since the point lies in the second quadrant, we add π to the angle obtained from the arctan function.

θ ≈ arctan(72/(-73√2)) + π ≈ 2.876 + 3.141 ≈ 6.017

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If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Answer:

Step-by-step explanation:

Top left

Top right

Bottom left

Bottom right

Answer:

AAS, HL, ASA, Not enough info

Step-by-step explanation:

The tangent function is defined as the ratio of the sine function to the cosine function. It is periodic with a period of pi and has vertical asymptotes at odd multiples of pi/2. An equation for a tangent function with a domain of all real numbers and n as an integer is given by the following equation:
y = tan(x + n(pi))


The tangent function is defined as the ratio of the sine function to the cosine function, and it is periodic with a period of pi. It has vertical asymptotes at odd multiples of pi/2.
The tangent function can be represented by the following equation:
y = tan(x)
Where x is the angle measured in radians.
If we want to shift the graph of the tangent function by a certain amount, n, in the horizontal direction, we can use the following equation:
y = tan(x + n(pi))
Where n is an integer.
For example, if n = 2, then the graph of the tangent function would be shifted 2pi units to the left, and the equation would be:
y = tan(x - 2pi)
If n = 3, then the graph of the tangent function would be shifted 3pi units to the left, and the equation would be:
y = tan(x - 3pi)
And so on for any integer value of n.

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Answer:

1) \(\frac{3}{7} = \frac{15}{35}\)

2) \(\frac{64}{48}=\frac{4}{3}\)

3) \(\frac{21}{56}=\frac{3}{8}\)

Step-by-step explanation:

ESTAS SON FRACCIPONES EQUIVALENTES

1. 3(35)/7 = 15 ENTONCES 15/35

2. 48(4)/3 = 64 ENTONCES 64/48

3. 56(3)/21 = 8 ENTONCES 3/8

The process capability index for the process is 0.1754.

The first sided specification limit will be:

= (Upper specification limit - mean)/(3 × standard deviation)

= (23.1 - 22.9)/(3 × 0.19)

= 0.2/0.57

= 0.3508

The second sided specification limit will be:

= (22.9 - 22.8)/(3 × 0.19)

= 0.1/0.57

= 0.1754

The process capability index for the process is 0.1754 wine it's the lower value.

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Using the mathematical induction it can be proved that that for n ∈ X+ ,1 · 2 + 2 · 3 + ··· + n(n + 1) = n(n + 1) (n + 3)/3.

Mathematical induction is a method of proof. The base case is proven initially, then the inductive step is demonstrated.

Proof by mathematical induction,

The goal is to show that P(n) is correct for all integers n, where P(n) is a statement that depends on n.

The proof by mathematical induction has two stages:

Stage 1: Base Case: the basis for mathematical induction is the initial step. When the statement is accurate for the first value of n, this is proven.

Stage 2: Inductive step: the next step is to show that if the statement is valid for any given value of n, it must also be accurate for the next value of n.

Now, proof for the given series of questions,

1. Base case :

n=1, P(1) = 1·2 = 2

LHS = 1·2 = 2

RHS = 1(1+1)(1+3)/3 = 2

So, LHS = RHS

2. Inductive Hypothesis : Let's assume that the given equation is true for some natural number k.

1 · 2 + 2 · 3 + ··· + k(k + 1) = k(k + 1) (k + 3)/33.

Inductive Step, we need to show that the given equation is valid for k+1.

LHS = 1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

RHS = k(k + 1) (k + 3)/3 + (k + 1)(k + 2)

LHS = RHS

1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= k(k + 1) (k + 3)/3 + (k + 1)(k + 2)1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= (k + 1)[k(k + 3)/3 + (k + 2)]1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= (k + 1)(k + 3)(k + 2)/3

Therefore, we can conclude that for n ∈ X+ ,1 · 2 + 2 · 3 + ··· + n(n + 1) = n(n + 1) (n + 3)/3.

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Answer:

(1). x = 14 ; (2). 70°

Step-by-step explanation:

(1). m∠ACD = m∠A + m∠B

6x + 2 = (2x + 1) + (3x + 15)

6x - 5x = 14

x = 14

(2). m∠ABC = 180° - m∠CBD = 140°

m∠A = m∠C = 140° ÷ 2 = 70°

And

Step-by-step explanation:me no understand spanish

Answer:

c) T(−1, 3) ° Rotation,180°

Step-by-step explanation:

Explanation:-

First we will apply transformation is

Rotation of 180°  then we will apply transformation is changes  

(x,y) to (-x ,-y)

a)

Given vertex T(  2 ,2 )

T( 2 ,2 )→ T( -2 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)

The new vertex is  T¹ ( -3 ,1)

b)

Given vertex U(  4 ,2 )

U( 4 ,2 )→ U( -4 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)

The new vertex is  U¹ ( -5 ,1)

c)

Given vertex R(  3 ,5 )

R( 3 ,5 )→ R( -3,-5)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)

The new vertex is  R¹ ( -4 ,-2)

d)

Given vertex S(  1 ,3 )

S( 1 ,3 )→ S( -1 ,-3)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

S( -1,-3) → S¹ ( -1 -1 ,-3 +3)

The new vertex is  S¹ ( -2,0)

Answer:

The third number can be any number less than 30.

Step-by-step explanation:

If the arithmetic mean of three numbers is less than 20, then their sum must be less than 20 * 3, or 60. We know that two of the numbers are 5 and 25, which add up to 30. In order for the arithmetic mean of the three numbers to be less than 20, the unknown number must be less than (60 - 30), or in order words, less than 30. So the third number can be any number less than 30.

Answer:

1184 cm

Step-by-step explanation:

The probability which represents the likelihood of randomly selecting a card that is a heart or a 7 from a well-shuffled standard deck is 4/13.

To calculate the probability of selecting a card that is either a heart or a 7 from a standard deck of 52 cards, we need to determine the number of favorable outcomes (cards that are hearts or 7s) and the total number of possible outcomes (all the cards in the deck).

Let's break it down:

Number of favorable outcomes:

- There are 13 hearts in a deck (one for each rank).

- There are four 7s in a deck (one for each suit, including the 7 of hearts).

- However, we need to subtract one card (the 7 of hearts) from the count since it has already been counted as a heart.

So, the number of favorable outcomes is 13 + 4 - 1 = 16.

Total number of possible outcomes:

- There are 52 cards in a deck.

Therefore, the probability of selecting a card that is either a heart or a 7 is:

Probability = Number of favorable outcomes / Total number of possible outcomes

          = 16 / 52

          = 4 / 13

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The general solution of y" +4y'= 2e 4x+6 İs is (d) Y = \(C1e^-4x + C2x – ½ xe^-4x + 3/2\).

To solve this second-order linear differential equation, we will first find the characteristic equation by substituting y = \(e^(rx)\) into y'' + 4y' = 0:

\(r^2 e^(rx) + 4re^(rx)\) = 0

Factor out the\(e^(rx)\) term:

\(e^(rx) (r^2 + 4r)\) = 0

Solve for the roots of the characteristic equation:

r = -2i, 0

Therefore, the general solution of the homogeneous equation y'' + 4y' = 0 is:

\(y = C1e^0 + C2e^(-2ix) = C1 + C2cos(2x) + iC2sin(2x)\)

Next, we find a particular solution of the non-homogeneous equation y'' + 4y' = 2e^(4x) + 6. The non-homogeneous term is a polynomial of degree 0, so we can assume a particular solution of the form:

\(yp = Ae^(4x) + B\)

Taking the derivatives of yp and substituting into the differential equation, we get:

\(16Ae^(4x) + 4Ae^(4x) + 4B = 2e^(4x) + 6\)

Solving for A and B, we get:

A = 1/2, B = 3/2

The particular solution of the non-homogeneous equation is:

\(yp = 1/2 e^(4x) + 3/2\)

The general solution of the non-homogeneous equation is the sum of the homogeneous and particular solutions:

\(y = C1 + C2cos(2x) + iC2sin(2x) + 1/2 e^(4x) + 3/2\)

To eliminate the imaginary part, we set C2 = 0. To eliminate the constant term, we set C1 + 3/2 = 0. Finally, we can simplify the remaining terms:

\(y = C1e^(-4x) + C2x + 1/2 e^(4x) + 3/2\)

This matches option (d).

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any number multiplied by 0 is 0. a single value cant be assigned to a fraction where the denominator is 0 so the value remains undefined.

Answer:

Since the definition x0 = 1 is based upon division, and division by 0 is not possible, we have stated that x is not equal to 0. Actually, the expression 00 (0 to the zero power) is one of several indeterminate expressions in mathematics. It is not possible to assign a value to an indeterminate expression.Thus making it unsolved

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

easy 23 simple mulitply then add

Quantities that are proportional to each other are,

A) radius and diameter of a circle

B) radius and circumference of a circle

C) radius and area of a circle

D) diameter and circumference of a circle

E) diameter and area of a circle​

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the radius of a circle is r and the diameter of a circle is 2r.

We also know that the circumference of a circle is 2πr and the area of a circle is π(r)².

Now the quantities that will be related to each other are the quantities that are together linked in the formula of circumference and area.

∴ Radius and diameter of a circle, Radius, and circumference of a circle, Radius and area of a circle, Diameter and circumference of a circle, and Diameter and area of a circle​ all are related to each other and are directly proportional.

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Answer:

A. x= 4/5

B. x=4/5

Step-by-step explanation:

1) My guess would be B because in both of them you subtract 2 just not at the same time, I hope this is correct

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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