Which of the following numbers is irrational?
A)
\( \frac{ - 7}{4} \)
B)
\( \frac{2}{3} \)
C)
\( \sqrt{3} \)
D)
\( \sqrt{4} \)
​

To generate the overall equation A → 2C, should be B → 2C added to  

A → B gives the equation A + B → B + 2C.  

In mathematics, an equation is a method that expresses the equality of two expressions, by using connecting them with the equals signal =. The phrase equation and its cognates in other languages may also have subtly exclusive meanings; for example, in French, an equation is described as containing one or more variables, at the same time as in English, any nicely shaped formula together with expressions associated with an equal’s signal is an equation.

Solving an equation containing variables includes determining which values of the variables make the equality actual. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that satisfy the equality are referred to as solutions of the equation. Equations come in two varieties: identities and conditional equations. An identification is actual for all values of the variables. A conditional equation is handiest genuine for unique values of the variables.

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Answer:21

Step-by-step explanation:

A polynomial function g is graphed below is shown in the figure. Find the formula for g(x) with the smallest possible degree. The point (-2, 1) is on the graph, and to find the leading coefficient, use it. To answer this question, let's use the following steps:First, determine the degree of the polynomial;Second, Use the point-slope formula to solve for b;Third, Use the information found in the first two steps to construct the polynomial.In the graph below, the point (-2, 1) lies on the graph of the polynomial.

The goal is to find a formula for the polynomial with the least degree possible.Since the graph intersects the x-axis at -3, -2, and 1, the polynomial must have factors of (x+3), (x+2), and (x-1).

Therefore, we may express g(x) in the following way:g(x) = a(x+3)(x+2)(x-1)where a is the leading coefficient that we need to discover.The polynomial may be represented as follows:g(x) = a(x+3)(x+2)(x-1)g(x) = a(x^3 + 4x^2 - 5x -12)The graph shows that (-2, 1) is a point on the graph. To find a, we'll substitute these values into the equation and solve:g(x) = a(x+3)(x+2)(x-1)1 = a(-2+3)(-2+2)(-2-1)a(-1) = 1a = -1We can substitute this value into the equation above and get:g(x) = -1(x+3)(x+2)(x-1)g(x) = -1(x^3 + 4x^2 - 5x -12)

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Hey there! I'm happy to help!

Tom has 150 already saved and for every hour he works, he will gain an extra $25. After h hours, he will have $300,

So, we multiply 25 by n, because for every hour he will have 25 added to his total, and repeated addition is multiplication, so we multiply 25 by n.

We add 150 as that is what we already have saved.

Finally, we want this to equal 300.

So, here is our equation.

25n+150=300

Now we solve. We subtract 150 from both sides.

25n=150

We divide both sides by 25.

n=6

Tom will have to work six hours to buy the iPhone.

Have a wonderful day! :D

Answer:

25(6)+150=300

Step-by-step explanation:

25x+150=300

25x=300-150

25x/25=150/25

x=6

A linear equation representing the data in table is t(n) = 12x + 23.

The missing values in table should be completed as follows;

n            t(n)

4             71

5             83

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y are the data points.

Next, we would determine the linear equation representing the data in table which passes through the points (1, 24) and (2, 36) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 24 = (36 - 24)/(2 - 1)(x - 1)

y - 24 = 12(x - 1)

y = 12x - 1 + 24

y = t(n) = 12x + 23

When the value n = 4, the value of t(n) can be calculated as follows;

t(4) = 12(4) + 23

t(4) = 71.

When the value n = 5, the value of t(n) can be calculated as follows;

t(5) = 12(5) + 23

t(5) = 83.

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Answer:

on what?

Step-by-step explanation:

How do you get rid of an inner bully?

5 Ways to Stop that Inner Bully

Become aware of what you are saying to yourself. ...

Replace this with mindful attention to your feelings. ...

Realize you are not alone in your suffering. ...

Use soothing self-talk. ...

Access Your Wise Mind.

Answer:

84 Miles

Step-by-step explanation:

The car drove 40 miles per hour for 7 hours so the car traveled 40X7 which is 280 miles and the van traveled at 52 miles per hour for 7 hours so the van traveled 52X7 which is 364 miles so the difference between both is 84 miles.

a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

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The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

Answer:

1/5th

Step-by-step explanation:

trust me. ik how to do slopes

Answer:

The present age of Dave is 40 years

Step-by-step explanation:

Let the present age of Johns be x

We are given that Dave is six years less then twice Johns  age.

Dave's present age = 2x-6

We are also given that The sum of John and Dave's ages is 63.

So, \(x+2x-6=63\)

\(3x-6=63\)

\(3x=63+6\)

\(3x=69\)

\(x=\frac{69}{3}\)

\(x=23\)

Dave's present age = 2x-6=2(23)-6=40

Hence The present age of Dave is 40 years

The length of the kite and the tail are \(4\frac{2}{3}\) and \(10\frac{5}{6}\) ft respectively.

The tail of the kite is 1.5 feet plus twice the length of the kite.  Together, the kite and tail are 15.5 ft long.  

The length of the tail and the kite can be found as follows:'

let

length of kite = x

Therefore,

length of the tail = 1.5 + 2x

Together the length of kite and tail is 15.5 ft

Hence,

1.5 + 2x + x  = 15.5

1.5 + 3x = 15.5

3x = 15.5 - 1.5

3x = 14

x = 14  /3

x = \(4\frac{2}{3}\) ft

length of the tail =  1.5 + 2(14 / 3)

length of the tail = 1.5 + 28 / 3

length of the tail = 65 / 6 = \(10\frac{5}{6}\) ft

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If you're asking for improper, It's -6/5.

If you're asking for decimal. it's -1.2

If you're asking for mixed number, It's -1 1/5.

Answer:

-2/15

Step-by-step explanation:

Apply the fractions formula for addition, to

− 45 + 23

and solve

( −4 × 3 ) + ( 2 × 5 ) 5 × 3

= − 12 + 10/15

= −2/15

Therefore:

−45+23= −2/15

True. In complex production processes like nuclear power plants, certain inputs are considered fixed even in the long run.

In the context of complex production processes, some inputs are treated as fixed because they cannot be easily changed or adjusted in the long run due to various constraints. This is particularly true for industries with high capital costs and long-term planning requirements, such as nuclear power plants. Inputs such as major equipment, infrastructure, and regulatory compliance measures are typically considered fixed and are not easily altered or modified in response to short-term fluctuations or changes in demand.

Treating certain inputs as fixed in the long run allows for stability and consistency in planning and operation, ensuring that essential components of the production process remain constant. This approach helps maintain safety standards, regulatory compliance, and the overall integrity of the complex system, which is critical in industries like nuclear power generation where precision, reliability, and risk management are of utmost importance.

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If d is unknown, the polar equation remains r = (6d) / (1 ± 6*cos(θ)).

To write a polar equation of a conic with the focus at the origin and the given data, we will use the general polar equation for a conic:

r = (ed) / (1 ± e*cos(θ))

where r is the polar distance, e is the eccentricity, d is the distance from the focus to the directrix, and θ is the polar angle.

Since we are given a hyperbola, eccentricity e = 6, and the directrix is represented by r, we can substitute these values into the equation:

r = (6d) / (1 ± 6*cos(θ))

However, we are not given the distance from the focus to the directrix (d). If you have a specific value for d, you can substitute it into the equation to get the final polar equation of the conic.

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Answer:

3/4

Step-by-step explanation:

12kg/16kg= 6/8= 3/4

Hope this helps!

Pls mark brainliest if correct:)

Number of quarters is 6 and number of nickels are 42.

One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.

We know that:

Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60

so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60

=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60

multiplying both sides by 8 to cancel out 8, we get

=> x*0.25 + 7x * 0.05 = 28.8

=> x/4 + 7x/20 = 28.8

=> (5x + 7x)/20 = 28.8

=> 12x = 576

=> x= 48

x/8 = 6 and (x-x/8) = 42

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The total possible combination of ordered pairs from the element of the given set is 9

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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The graph of the points (−3,0), ( −2, −1), (−1, −2), (0, −1), (1, 0) is attached below.

According to question,

(x,y) = (-3,0),.......

We will plot these points on the graph accordingly.

Then, we will join the points to form the graph of the given point as shown in the figure attached below.

Hence, graph is as follows.

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Answer:

Solving the Equations of General Relativity for Colliding Black Holes

TOPICS:AstronomyAstrophysicsBlack HoleGeneral RelativityPopularTexas Advanced Computing CenterUniversity Of Texas At Austin

By UNIVERSITY OF TEXAS AT AUSTIN NOVEMBER 8, 2020

Answer:

(-3,2)

Step-by-step explanation:

====================================================

Explanation:

The angle adjacent to the 5 degree angle is 90-5 = 85 degrees

Or you could note that 85+5 = 90.

Then from here you'd use the tangent ratio

tan(angle) = opposite/adjacent

tan(85) = 4629/x

x*tan(85) = 4629

x = 4629/tan(85)

x = 404.985 approximately

x = 405 meters when rounding to the nearest whole number.

To find the intersection point(s) of the two equations y = 2x² – 5x+9 and y = 2x² + 5x-1, we can set the equations equal to each other and solve for x.

2x² – 5x+9 = 2x² + 5x-1

10x = -10

x = -1

Substitute x = -1 into either equation to find y:

y = 2(-1)² – 5(-1) + 9 = 16

Therefore, the intersection point of the two equations is (-1, 16).

To solve for the intersection point(s) of two equations, we need to set the two equations equal to each other and solve for the variable. In this case, we set y = 2x² – 5x+9 equal to y = 2x² + 5x-1, giving us the equation 2x² – 5x+9 = 2x² + 5x-1.

Simplifying this equation, we get 10x = -10, which gives us x = -1. Then, we substitute x = -1 into one of the equations to find the value of y. In this case, using y = 2x² – 5x+9, we get y = 2(-1)² – 5(-1) + 9 = 16. Therefore, the intersection point of the two equations is (-1, 16).

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On solving the question, we can say that Option 4 is wrong since the maximum value for both box plots is 22.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Using the information provided, the appropriate choices are:

The first trip's range is less than the second trip's range.

The second trip's median is greater than the first trip's median.

The second trip's interquartile range (IQR) is wider than the first trip's IQR.

The difference between the highest and least numbers is known as the range. The range for the first trip is 22-2=20 while the range for the second trip is 22-15=7. As a result, option 1 is erroneous because the first trip's range is higher than the second trip's range.

When a dataset is ordered in order, the median represents the middle value. The median for the first trip is between 17 and 20, or (17+20)/2=18.5. The median for the return journey is between 19 and 20, or (19+20)/2=19.5. Option 2 is right since the median of the second trip is greater than the median of the first trip.

The distance between the first and third quartiles is known as the interquartile range (IQR). Since the first trip's first and third quartiles are 16 and 20, respectively, the IQR is 20-16=4. The IQR for the second trip is 20-18=2 since the first quartile is 18 and the third quartile is 20, respectively.

Option 3 is erroneous since the IQR of the second trip is lower than the IQR of the first trip.

Option 4 is wrong since the maximum value for both box plots is 22.

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Answer:

Step-by-step explanation:

Linda sold 14

John sold 29 which is 14 two times plus one

29+14=43

Usando conceptos de funciones cuadráticas, se encuentra que:

La función que estimate el tiempo es dada por:

\(I(t) = -64 + 288t - 24t^2\)

Que es una función cuadrática con coeficientes \(a = -24, b = 288, c = -64\).

El año en qué se alcanzará el máximo ingreso es el valor de t de el vertice, o sea:

\(t_V = -\frac{b}{2a} = -\frac{288}{2(-24)} = \frac{288}{48} = 6\)

El máximo ingreso será alcanzado en 6 años.

El valor del máximo ingreso es el valor de I de el vertice, o sea:

\(I_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}\)

Entonces:

\(I_v = -\frac{288^2 - 4(-24)(-64)}{4(-24)} = 800\)

El máximo ingreso será de 800 miles de soles.

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Answer: A

Step-by-step explanation:

If we are given the values of x and y, we just have to plug them into the expression. So -2xy means -2(-1)(6) which is 12. 12 corresponds to A so A is the correct answer.

Answer:

A , we find it like this :

-2(-1)(6)=12

Answer:

-13

Step-by-step explanation:

-5y = 9 + 6

y = 15 / -5

y = -3

Now;

y - 10 = -3 - 10 = - 13

Answer:

5=c

Step-by-step explanation:

c= number of camels

6-1=c

5=c