Which equation has no solution?
Group of answer choices

the absolute value of 2 x minus 1 equals 0

the absolute value of 5 minus 3 x equals negative 8

the absolute value of negative x minus 3 equals 5

the absolute value of negative x plus 9 equals 0

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer:

the simplest form of 15/20 is 3/4

After any particular a, the next a in the sequence must appear exactly 2 or 3 positions down the line. In this case, we start at position b and end at position 19. answer is 65

i.e. we move a total of 18 positions down the line. Therefore, we must add a series of c's and d's to get 18. There are several ways to do this:

Case 1: nine c's - there is only 1 way to arrange them.

Case 2: two d's and six c's - there are 28 ways to arrange them.

Case 3: four d's and three c's - there are 35 ways to arrange them.

Case 4: six c's - there is only 1 way to arrange them.

Summing the four cases gives 1+28+35+1 = 65

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The given condition states that for each positive integer n, the outer measure of En, denoted as m+(En), is less than or equal to 2 raised to the power of minus n.

To prove the given statement, let's consider the countable collection of sets {En} with indices ranging from 1 to infinity. By the definition of outer measure, we have m+(En) ≤ 2^(-n) for each n.

Now, we can use the subadditivity property of outer measure, which states that for any collection of sets, the measure of their union is less than or equal to the sum of their individual measures. Applying this property to the collection {En}, we have:

m+(∪En) ≤ Σ(m+(En))   (where Σ denotes summation)

Since m+(En) ≤ 2^(-n) for each n, we can rewrite the above inequality as:

m+(∪En) ≤ Σ(2^(-n))

This is a geometric series with a common ratio of 1/2. The sum of this series is 1, which means:

m+(∪En) ≤ 1

Thus, we have proven that the measure of the union of all En is less than or equal to 1.

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Answer:

\(x < 7\)

Step-by-step explanation:

1) Subtract 40 from both sides.

\( - 8x > - 16 - 40\)

2) Simplify -16 - 40 to -56.

\( - 8x > - 56\)

3) Divide both sides by -8.

\(x > \frac{ - 56}{ - 8} \)

4) Two negative numbers makes a positive.

\(x > \frac{56}{8} \)

5) Simplify 56/8 to to 7.

\(x < 7\)

Therefor the answer is option B. x < 7.

Answer:

\(x<7\)

Step-by-step explanation:

\(-8x+40>-16\)

Move the constant to the right-hand side and change its sign

\(-8x>-16-40\)

Calculate the difference

\(-8x>-56\)

Divide both sides of the inequality by -8 and flip the inequality sign

\(x < 7\)

Therefore the Correct Answer B. x < 7

The expected value for X is 1.56.

Expected value is the mean value that we would expect if we conducted the same experiment many times and recorded the result of each trial. This formula is used to calculate the expected value for X.

This formula is used to calculate the expected value for X:E(X) = Σ [ xi * P(xi) ] where xi represents the value of X, and P(xi) is the probability of X taking the value xi.

The value of xi is multiplied by its corresponding probability and then summed over all the values of X.

This gives the expected value of X. Now, let us use the formula to calculate the expected value of X:

E(X) = (0 * 0.10) + (1 * 0.05) + (2 * 0.02) + (1 * 0.12) + (0 * 0.10) + (2 * 0.10) + (3 * 0.16) + (0 * 0.06) + (1 * 0.11) + (2 * 0.28)E(X) = 0 + 0.05 + 0.04 + 0.12 + 0 + 0.20 + 0.48 + 0 + 0.11 + 0.56E(X) = 1.56

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Answer:

I think it's y = 1/4+2

Step-by-step explanation:

Answer:

25 degree

Step-by-step explanation:

23 - 25 = -2 degree

So, the temperature change is 25 degrees.

Answer: 33.375 feet

Step-by-step explanation:

To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.

The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.

In this case, a = 16, b = 12, and c = 30.

So,

t = -b/2a = -12/(2*16) = -3/8

h = 16(-3/8)² + 12(-3/8) + 30 = 33.375

Therefore, the maximum height reached is 33.375 feet.

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means can be approximated by a normal distribution.

The correct answer is (c) the sampling distribution of the difference between two sample means can be approximated by a normal distribution.

This is due to the Central Limit Theorem, which states that the sampling distribution of a large sample size will approach a normal distribution, regardless of the shape of the population distribution.

The variance of the sampling distribution of the difference between the two sample means can be estimated using standard formulas, and it will depend on the sample sizes and the variances of the two populations.

Therefore, options a, b, and d are incorrect.

The correct answer is (c)

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it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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The coordinates of the midpoint M are (-1, 4).

To find the midpoint M of the line segment AB with endpoints A(2, 1) and B(-4, 7), we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M(x, y) of two points A(x₁, y₁) and B(x₂, y₂) can be found by taking the average of their respective x-coordinates and y-coordinates:

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

Let's apply the formula to find the midpoint M of AB:

x = (2 + (-4)) / 2

= -2 / 2

= -1

y = (1 + 7) / 2

= 8 / 2

= 4

Therefore, the coordinates of the midpoint M are (-1, 4).

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\({\huge{\fbox{\tt{\green{Answer}}}}}\)

______________________________________

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates. So, for the line segment AB with endpoints A = (2, 1) and B = (-4, 7), the midpoint M is:

→ M = ((2 + (-4)) / 2, (1 + 7) / 2)

M = (-1, 4)

Therefore, the midpoint of the line segment AB is M = (-1, 4).

______________________________________

The system of linear equations are;

a + b = 5.30

a + b = 7

Expressing the information as a system of linear equations:

Consider that apples = a, oranges = b

If $5.30 is charged for one apple and one orange, then we get the equation as

a + b = 5.30 - - - (1)

If $14 is charged for 2 apples and 2 oranges,  then we get the equation as ;

2a + 2b = 14 - - - - (2)

a + b = 7

Since both equations give varying combined cost for an equal amount of fruit, so a unique cost cannot be obtained for each fruit from the systems of equation using a simultaneous equation process.

From (1)

a = 5.30 - b

Put a, b in (2)

2(5.30 - b) + 2b = 14

10.6 - 2b + 2b = 14

10.6 = 14

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Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

It is recommended that a ramp have at least 8 feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp in the illustration has a 3-foot vertical rise. The ramp shown in the question matches the recommended specifications.

To check whether the ramp shown in the question matches the recommended specifications, we need to calculate the horizontal distance covered by the ramp for a vertical rise of 3 feet.

According to the recommended specifications, the horizontal distance should be at least 8 times the vertical rise. Therefore, for a vertical rise of 3 feet, the minimum horizontal distance required would be:

Horizontal distance = 8 x 3 = 24 feet

However, the ramp shown in the question has a length of 44 feet. This means that the horizontal distance covered by the ramp is:

Horizontal distance = \(\sqrt{(44^2-3^2)}\)= \(\sqrt{(1936-9)}\)= \(\sqrt{1927}\) ≈ 44.0 feet

As we can see, the actual horizontal distance covered by the ramp (44 feet) is more than the recommended minimum distance of 24 feet. Therefore, the ramp shown in the question matches the recommended specifications, and it can be considered safe for use.

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As per the reference document attached thereby along with the question statement, if (∠SOX = 160°), [∠1 = (x + 14)], and [∠2 = (3x – 10)], then the measure of ∠2 in degrees will be 113°

As per the reference document attached thereby along with the question statement, (∠SOX = 160°), and it's constituent angles

[∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)],

And we are required to determine the measure of ∠2.

Since, [(∠SOW + ∠WOX) = ∠SOX],

Therefore, [{(x + 14) + (3x – 10)} = 160°]

Or, [{(x + 3x) + (14 - 10)} = 160°]

Or, [(4x - 4) = 160°]

Or, [4x = (160 + 4)°]

Or, (4x = 164°)

Or, [x = (164/4)°]

Or, (x = 41°)

Or, [(3x – 10) = {(3 * 41) - 10}°]

Or, [∠2 = (123 - 10)°]

Or, (∠2 = 113°)

That is, if (∠SOX = 160°), and it's constituent angles (∠1) and (∠2) measure as [∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)], then the measure of ∠2 in degrees will be 113°

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Answer:

21

Step-by-step explanation: You have to first put all the numbers in order and divided it by the amount of numbers that are in ur set and boom ur done.

Answer:

Step-by-step explanation:

You want the price of a bagel and a can of OJ if 2 bagels and 1 can costs $8, and 3 bagels and 2 cans cost $13.

You can write an equation for the value of each purchase. The cost of a bagel can be represented by 'b', and 'j' can be used for the cost of an orange juice.

The coefficients of j are related by a factor of 2, so we can make the sum of coefficients of j be zero if we subtract the second equation from 2 times the first:

  2(2b +1j) -(3b +2j) = 2(8) -(13)

  b = 3 . . . . . . . . . . . . . . simplify

Now, we can use this value in the first equation to find j:

  2(3) +1j = 8

  1j = 2 . . . . . . . . . subtract 6

A bagel costs $3, and a can of orange juice costs $2.

The sum of the first 10 terms of the arithmetic sequence is given as follows:

-40.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The sum for the first n terms of an arithmetic sequence is given by the equation presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

In which:

The parameters for this problem are given as follows:

\(n = 10, a_1 = 5, a_n = -13\)

Hence the sum is given as follows:

S = 5 x (5 - 13)

S = -40.

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79. The magnitude of earthquake is obtained to be 7.58.

80. The earthquake would need to release approximately 189,874,692,693 kilowatt-hours of energy in order to increase its magnitude by one-half of a unit on the Richter scale.

What is Ritcher Scale?

A system of numbers used to quantify earthquake size based on seismograph oscillations is known as Ritcher Scale. The magnitudes of the more devastating earthquakes are typically between 5.5 and 8.9; since the scale is logarithmic, a difference of one corresponds to a roughly 30-fold variation in magnitude.

79. To find the earthquake's magnitude, we substitute E = 15,500,000,000 into the formula for R -

R = 0.67 log (0.37E) + 1.46

R = 0.67 log (0.37 * 15,500,000,000) + 1.46

R = 0.67 log (5,735,000,000) + 1.46

R = 0.67 × 9.7585 + 1.46

R ≈ 7.58

Therefore, the earthquake's magnitude is approximately 7.58.

80. To solve this problem, we need to find the energy E that would result in a magnitude increase of 0.5 units.

We can use the formula for Ritcher scale R to set up an equation relating the magnitudes -

R = 0.67 log (0.37E) + 1.46

If we increase the magnitude by 0.5 units, we get -

R + 0.5 = 0.67 log (0.37E') + 1.46

where E' is the new energy that would produce the higher magnitude.

Subtracting the second equation from the first, we get -

0.5 = 0.67 log (0.37E') - 0.67 log (0.37E)

Simplifying, we have -

0.5 = 0.67 log [(0.37E')/(0.37E)]

0.5 = 0.67 log (E'/E)

Dividing by 0.67, we get -

0.7463 = log (E'/E)

Using the definition of logarithms, we can rewrite this as -

\(\frac{E'}{E} = 10^{0.7463}\)

\(E' = E \times 10^{0.7463}\)

Now we can substitute E = 15,500,000,000 (the energy released in the original earthquake) into this equation to find E' -

\(E' = 15,500,000,000 \times 10^{0.7463}\)

E' ≈ 189,874,692,693 kilowatt-hours

Therefore, the earthquake would need to release 189,874,692,693 kilowatt-hours of energy.

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Answer:

⭐ There are 3 ways you can write a linear function (⭐ = most common):

Answer:

70

Step-by-step explanation:

first step (4+3)=7

second step 10×7=70

Step-by-step explanation:

Equations: 60x + 3000 = 3,000, 600 + 150y = 3000

X: 20

Y: 10

You should solve for x & y

Q1: 0, it's already filled up to the max of 3000 pounds.

Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16

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The intermediate step in the form (x + a)² = b as a result of

completing the square for the following equation?

x² + 6x = -201 can be said to be (x + a)² = b which is (x + 3)² = -192

To calculate the intermediate step in completing the square, you need to do the following steps:

Take the original quadratic equation and isolate the squared term on one side and all other terms on the other side.

Add half of the coefficient of the x term squared to both sides to create a perfect square trinomial.

Factor the perfect square trinomial and simplify.

For example, consider the quadratic equation x^2 + 6x + 8 = 0.

Isolate the squared term on one side: x^2 + 6x = -8

Add half of the coefficient of the x term squared to both sides: x^2 + 6x + (6/2)^2 = -8 + (6/2)^2

Factor the perfect square trinomial and simplify: (x + 3)^2 = 1

Consequently, the intermediate step in completing the square for the equation x² + 6x = -201 is:

(x² + 6x + 9) = (-201 + 9)

(x + 3)² = -192

So, (x + a)² = b is (x + 3)² = -192

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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The formula for f(t), the height above the ground at time t, is f(t) = 10 * cos(90 + (360/7) * t).

To find a formula for f(t), which represents the height above the ground at time t, we need to consider the motion of the ferris wheel.

Given that the ferris wheel has a diameter of 20 meters, its radius is half of that, which is 10 meters.

We know that the ferris wheel makes one full rotation every 7 minutes, which means it completes one revolution in 7 minutes. Since a full circle has 360 degrees, the ferris wheel rotates at a rate of 360 degrees per 7 minutes.

At time t = 0, we are at the 3 o'clock position and ascending. This position corresponds to the angle of 90 degrees.

Considering these factors, we can use the equation of a circle to describe the height above the ground at any given time t:

f(t) = r * cos(θ)

where r is the radius of the ferris wheel (10 meters) and θ is the angle measured in degrees.

Since the ferris wheel starts at the 3 o'clock position (90 degrees) and rotates at a rate of 360 degrees per 7 minutes, we can express θ as:

θ = 90 + (360/7) * t

Substituting this value into the equation, we get:

f(t) = 10 * cos(90 + (360/7) * t)

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Answer: The hundreds position.

Step-by-step explanation:

I st Step;

Place value on  the numbers

23, 643- Twenty three thousand, six hundred and fourty three

2 - 2 tens thousands

3 -  3 thousands

6-  6 hundreds

4- 4 tens

3 - 3 units

also 23,987--Twenty three thousand, nine hundred and eighty seven

2 - 2 tens thousands

3 -  3 thousands

9-  9 hundreds

8- 8 tens

7- 7 units

Step 2.

Having expressed the numbers above, we can see that we can  begin comparing the two numbers from the hundreds position. we can therefore conclude that 23, 987 is greater than 23, 643 , bacause in the hundreds position, 900 is greater than 600, the first two numbers, 23 are similar for both numbers.