7/9 = -1/2 (x +1/3)

What is the value of x?

Answer:

7.3 if 48 is a number (I'm not sure if you meant 4,8 or 48)

4 if you meant 48 to be separate

Step-by-step explanation:

Mean means average so you add up all the numbers then divide the answer by how many numbers there are, so 44/11=4

A. 3/16-in.-thick aluminum,  B. 1/4-in.-thick lead. C. 1/2-in.-thick copper. D. 1/8-in.-thick nickel alloy.  Root faces are suitable for the 3/16-in. aluminum thickness, promoting effective weld penetration and strength.

A butt joint design with a 90° V groove angle and 1/16-in. root faces is commonly used for welding thicker materials. Aluminum, being 3/16-in. thick, falls within this range. The V groove angle helps create a strong weld joint, and the 1/16-in. root faces allow for tight butt joints, ensuring good fusion between the materials. The V groove angle determines the shape and depth of the weld, while the root face refers to the gap between the materials to be welded. In this case, the 90° V groove angle and 1/16-in.

Option A, 3/16-in.-thick aluminum, is the most appropriate choice for a butt joint design requiring a 90° V groove angle and 1/16-in. root faces tightly butted against each other. It's important to consult welding codes, specifications.

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Answer:

The natural logarthim of a negative is undefined.

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Answer:

wrong the answer is 63.1

Step-by-step explanation:

Jerome swam a total of 17.64 kilometers in those 3 weeks.

To find out how many kilometers Jerome swam in those 3 weeks, we need to convert the distance from meters to kilometers. Given that 1 meter is equal to 0.001 kilometers, we can multiply the number of meters by 0.001 to get the equivalent distance in kilometers.

Jerome swam 840 meters each day for 3 weeks. To find the total distance, we multiply the number of meters by the number of days in 3 weeks (which is 21 days).

Total distance swam = 840 meters/day * 21 days = 17,640 meters, Now, we can convert this distance to kilometers: Total distance swam = 17,640 meters * 0.001 km/meter = 17.64 kilometers

Therefore, Jerome swam a total of 17.64 kilometers in those 3 weeks.

In summary, Jerome swam 840 meters each day for 3 weeks. By multiplying the distance per day by the number of days in 3 weeks and converting the result from meters to kilometers, we find that Jerome swam a total of 17.64 kilometers.

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Answer:

d

Step-by-step explanation:

The false statement is option (d) This relationship is an example of exponential growth.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The graph shows the value in the account after 2005.

0 indicates the year 2005.

1, 2, ...... indicates 2006, 2007, etc.

A) The value in 2007 corresponds to value of 2, which is 124.44.

True statement.

B) From 2013-2015 means that x values from 8 to 10.

Value of money during 2013-2015 = 180 - 166.19 = 13.81

From 2005-2007 means that x values from 0 to 2.

Value of money during 2005-2007 = 124.44 - 113 = 11.44

So Value of money during 2013-2015 is greater than that of 2005-2007.

True statement.

C) To find the amount account gained per year, find slope.

Slope = Change in y coordinates / Change in x coordinates

Take two points on the line (0, 113) and (2, 124.44)

Slope = (124.44 - 113) / (2 - 0) = 5.72

Hence the account gains $5.72 every year.

True statement.

D) Clearly the function is linear since the graph is a straight line.

Hence this is not a exponential growth.

Hence D is the false statement.

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The volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

Let the side length of a cube is 1unit.

Therefore length of all edges of the regular octahedron =2√2 unit .

Now the base of the pyramids is a square are will be (2√2)² =12 unit.

Now clearly the height of the pyramid is half the height of the cube, i.e.,1/2.

So volume of the Pyramid will be ⇒ 1/3× (Base area) × (height) = 1/3×1/2×1/2 = 1/12.

Therefore, the volume of the octahedron= 2 × volume of Pyramid= 2 ×1/12=1/6 unit³.

Hence, the volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

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Answer:

The answer would be y= |x-2| -1.

When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))

Answer:

x-y =2 …(1)

x+y = 4 …(2)

add (1) and (2), to get

2x = 6, or x = 3. From (1) y = 3–2 = 1.

So x = 3, y = 1.

Answer:

No

Step-by-step explanation:

Hope this helps :)

The variance of the population is 8.51.

We have,

To calculate the variance of a population, follow these steps:

Calculate the mean (average) of the data set.

Mean = (13 + 3 + 8 + 10 + 8 + 6) / 6 = 7.67

Subtract the mean from each value and square the result.

(13 - 7.67)² = 22.09

(3 - 7.67)² = 20.56

(8 - 7.67)² = 0.11

(10 - 7.67)² = 5.38

(8 - 7.67)² = 0.11

(6 - 7.67)² = 2.79

Calculate the sum of the squared differences.

22.09 + 20.56 + 0.11 + 5.38 + 0.11 + 2.79 = 51.04

Divide the sum by the number of values in the population.

Variance = 51.04 / 6 = 8.51

Rounding the variance to 2 decimal places, the answer is approximately 8.51.

Thus,

The variance of the population is 8.51.

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Answer:

c

Step-by-step explanation:

Answer:it's c

Step-by-step explanation:

Answer:

option B is an expression

Answer:

b= 1.024

Step-by-step explanation:

it should be 1.024 because

a-initial amount you have

b-growth rate ( 1 initial value + 2.4 % of that value)

x-the time over which the growth applies

Answer:

a) 5x - 9 = 3x + 3

5x - 3x = 3 + 9

2x = 12

x = 12 / 2

x = 6

b) x + 6 = 34 - x

x + x = 34 - 6

2x = 28

x = 28 / 2

x = 14

\( \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14\)

The solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1

We shall solve for x by simplifying the equation and making x the subject as follows:

-x² + 2x + x - 3x = -9 + 2 + 6

-x² + 3x - 3x = 8 - 9

-x² = -1

multiply both sides by -1 we have;

x² = 1

take square root of both sides

x = √1

x = 1

Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1

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Answer:

the sides are increasing by one square

Step-by-step explanation:

starts off with one square, then two as the sides, then three, and then four

The latest time Dan should leave his house to get to work on time will be 10: 05 am.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Dan goes from Birmingham to Coventry by Bu. Be goes for 5 moments to stroll from greetings houe to the bu top in Birmingham. He goes for 20 moments to stroll from the Bu top in Coventry to work. Dan has to get to work by 10.30 am.

The total time is given as,

⇒ 5 + 20

⇒ 25 minutes

The latest time Dan should leave his house to get to work on time will be given as,

  10: 30 am

- 00: 25      

  10: 05 am

The latest time Dan should leave his house to get to work on time will be 10: 05 am.

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Answer:

The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.

Answer:

2170 words

Step-by-step explanation:

If we are assuming words and minutes are directly proportional to each other, we can say that w (words) = k (constant variable) x t (time in mins).

K is the constant variable, which we must work out to find out any other time. If you rearrange the formula, it shows that k can be calculated by doing w/t. We have a set of values we can use to calculate k which are given in the question. So if we use this formula to calculate k, then:

k= w/t

k= 496/8

k= 62

Now we know the constant variable is 62. So, we go back to our equation but now we must find how many words. We now have our k value and our value for t. So, now we substitute:

w=kt

w= 62 x 35

w= 2170

The possible outcomes for rolling a 30-sided die are numbers 1 through 30. Therefore, the probability of rolling a single digit number is zero.First, let's break down the problem into two parts: rolling a single-digit number on the 30-sided die, and flipping heads on the coin.

1. Rolling a single-digit number on a 30-sided die:
There are 9 single-digit numbers (1 to 9) on the die, and there are a total of 30 sides. So, the probability of rolling a single-digit number is 9/30, which can be simplified to 3/10.

2. Flipping heads on the coin:
A coin has 2 sides (heads and tails), and we are looking for the probability of getting heads, which is 1 side out of 2. So, the probability of flipping heads is 1/2.

Now, to find the probability of both events happening together (rolling a single-digit number and flipping heads), we need to multiply the probabilities:

(3/10) * (1/2) = 3/20

So, the probability of rolling a single-digit number and flipping heads is 3/20 or 0.15 (15%).

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The value of x from the given figure is 12 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.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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The response variable is the amount of tax, whereas the explanatory variable is whether the student believes global warming is a serious issue or not.

An explanatory variable is a variable that can influence another variable or cause changes in the response variable. It is the variable that is controlled or manipulated to study its effect on the dependent variable (response variable) and is an independent variable in statistical analysis. The response variable is a dependent variable or an output variable that changes based on the influence of other variables (explanatory variable).The researchers wanted to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Therefore, the response variable is the amount of tax the student is willing to add to a gallon of gasoline. This response variable is an indication of how much students are willing to pay to mitigate global warming. On the other hand, the explanatory variable is whether the student believes that global warming is a serious issue or not. This variable will help determine if students' perception of global warming has any effect on their willingness to pay for mitigative measures.

In conclusion, the response variable in the given scenario is the amount of tax, while the explanatory variable is students' perception of global warming.

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The 95% Confidence Interval for the average height of males in the United States is 69.72 ± 0.94 inches.

To calculate the 95% Confidence Interval for the average height of males in the United States, we can use the sample mean, sample standard deviation, and t-distribution. With a sample size of 50, we use the t-distribution instead of the standard normal distribution.

The margin of error is calculated by multiplying the critical value (obtained from the t-distribution table for a 95% confidence level and 49 degrees of freedom) with the standard error, which is the sample standard deviation divided by the square root of the sample size.

In this case, with a sample mean of 69.72 inches and a sample standard deviation of 4.23 inches, the margin of error is approximately 0.94 inches. Therefore, the 95% Confidence Interval for the average height of males in the United States is 69.72 ± 0.94 inches, rounded to the hundredth place.

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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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We cannot definitively say which of them is more likely to be accepted based solely on their exam scores. We can use z-scores to compare the performance of Kyle and Ryan.

For Kyle:

z-score = (x - mean) / standard deviation = (489 - 400) / 67 = 1.33

For Ryan:

z-score = (x - mean) / standard deviation = (39 - 35) / 2 = 2

Comparing the z-scores, we see that Ryan performed better relative to his peers than Kyle did. This is because Ryan's z-score of 2 is larger than Kyle's z-score of 1.33.

However, it's important to note that acceptance into a university is based on multiple factors, not just exam scores. Therefore, we cannot definitively say which of them is more likely to be accepted based solely on their exam scores.

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In the given parallelogram vwxy: x = 3; m∠Y = 65° and ∠YVX = 61° by (alternate interior angle).

A quadrilateral with the opposing sides parallel is called a parallelogram (and thus opposite angles equal).

In the given parallelogram vwxy:

Parallel sides are equal.

So, 2x = 6

x = 6/2 = 3

Opposite pair of angles are also equal.

So,

∠W = ∠Y = 65°

Now,

∠YVX = 61° (alternate interior angle).

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