In isosceles trapezoid JKLM the legs are JK=8x+5 and LM=10x+4. Find the value of x?

Answer:

the answer is B 1/x^2

Step-by-step explanation:

Answer:

B) 1/x²

Step-by-step explanation:

Therefore, the permanent shear strain in the shear plane of the bolt when the applied force P = 150 kip is removed is approximately 3.51.

To determine the permanent shear strain in the shear plane of the bolt when the applied force P = 150 kip is removed, we need to use the concept of plastic deformation and the stress-strain diagram of the bolt material.

Assuming that the bolt material behaves as a linearly elastic material up to the yield stress and then undergoes plastic deformation beyond the yield stress, we can use the following steps to determine the permanent shear strain:

Determine the shear stress induced in the bolt by the applied force P. The shear stress can be calculated as τ = P/A, where A is the cross-sectional area of the bolt, given by A = π/4 * d^2, where d is the diameter of the bolt. Substituting the given values, we get A = π/4 * (1.25 in.)^2 = 1.227 in^2 and τ = P/A = (150 kip)/(1.227 in^2) = 122.18 ksi.

Determine the yield stress of the bolt material from the stress-strain diagram. From the given stress-strain diagram, we can see that the yield stress is approximately 80 ksi.

Determine the corresponding strain value for the yield stress. From the stress-strain diagram, we can see that the corresponding strain value for the yield stress of 80 ksi is approximately 0.055.

Determine the permanent shear strain. The permanent shear strain is the difference between the total shear strain and the elastic shear strain. The total shear strain can be calculated as γ = τ/G, where G is the shear modulus of the bolt material, which is given by the slope of the linear elastic portion of the stress-strain diagram. From the given stress-strain diagram, we can see that the slope of the linear elastic portion is approximately 12 ksi. Therefore, G = 12 ksi. Substituting the values, we get γ = τ/G = 122.18 ksi / 12 ksi = 10.18. The elastic shear strain is equal to the yield stress divided by the shear modulus, which is approximately 80 ksi / 12 ksi = 6.67. Therefore, the permanent shear strain is γ - ε_elastic = 10.18 - 6.67 = 3.51.

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Answer:

x^3 + 2x - 12 = (x - 2)(x^2 + 2x + 8) + 0

Step-by-step explanation:

x^2 + 2x + 8

___________________

x - 2 | x^3 + 0x^2 + 2x - 12

- (x^3 - 2x^2)

________________

2x^2 + 2x

- (2x^2 - 4x)

___________

6x - 12

- (6x - 12)

_________

0

x^3 + 2x - 12 = (x - 2)(x^2 + 2x + 8) + 0

chatgpt

⟹Answer:

\(x = -10\)

⟹Step-by-step explanation:

Lets Solve!

⟹The first thing we must do is define our variables. Lets look at the problem again:

"The sum of a number and 7 is multiplied by 4. The result is equal to -12."

We can make x the number that is being added to 7.

The sum of x and 7 is multiplied by 4. This expression equals -12.

\(4(x+7) = -12\)

⟹Now we use distribute 4 amongst (x+7)

\(4(x+7) = -12\)

\(4x+28 = -12\)

Next we subtract 28 from both sides.

\(4x+28 = -12\)

\(4x = -40\)

Last we divide 4 on both sides.

\(\frac{4x}{4} = \frac{-40}{4}\)

➧ \(x = -10\)

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The rate of change of the radius is 2.75 ft/min

Given

Rate of sand falling on conical pile = 8 ft³/min

Height of pile = 3 times the radius

Radius = 5.5 ft

We can calculate the rate of change of the radius by using the formula for the volume of a cone.

The volume of a cone is given by V = (1/3)πr²h, where r is the radius of the cone and h is the height of the cone.

We can rewrite this equation as 3V = πr²h.

We know that the height of the pile is always 3 times the radius, so we can substitute h = 3r into the equation and get  3V = 3πr³

We know the volume and the rate of sand falling on the pile, so we can substitute V = 8 ft³/min and solve for r.

3(8 ft³/min) = 3πr³

3πr³ = 24 ft³/min

r³ = 8 ft³/min/3π

r = \((8 ft³/min/3π)^(1/3)\)

Now that we know the radius, we can use the slope formula to calculate the rate of change of the radius.

The slope formula is given by m = (y2 - y1)/(x2 - x1).

In this case, x1 = 5.5 ft, x2 = 5.51 ft, y1 = \((8 ft³/min/3π)^(1/3)\), and y2 = \(((8 + 1) ft³/min/3π)^(1/3)\). So,

\(m = ((( 8 + 1 ) ft³/min/3π)^(1/3) - (8 ft³/min/3π)^(1/3))/ (5.51 ft - 5.5 ft)\)m = 2.75 ft/min

Therefore, the rate of change of the radius is 2.75 ft/min.

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You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .

The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.

The given question is related to probability and statistics.

Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.

The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.

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To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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To construct a frequency distribution and cumulative frequency distribution for the given tire mileages, we can follow these steps: Sort the data in ascending order.

32,800, 35,200, 35,600, 35,700, 35,700, 36,200, 39,000, 41,700, 42,800, 45,200. Determine the range of the data, which is the difference between the maximum and minimum values: Range = 45,200 - 32,800 = 12,400. Decide on the number of intervals or bins for the frequency distribution. Typically, the square root of the sample size is a good guideline. In this case, the square root of 10 is approximately 3.16. We can round it up to 4 for simplicity. Determine the width of each interval by dividing the range by the number of intervals: Interval width = Range / Number of intervals = 12,400 / 4 = 3,100 Create the frequency distribution table with intervals and frequencies: Interval Frequency; 32,800 - 35,900 4; 36,000 - 39,100 2; 39,200 - 42,300 2; 42,400 - 45,500 2.

Calculate the cumulative frequency by adding up the frequencies as we go down the table: Interval Frequency Cumulative Frequency; 32,800 - 35,900 4 4; 36,000 - 39,100 2 6; 39,200 - 42,300 2 8; 42,400 - 45,500 2 10. In the frequency distribution, we group the tire mileages into intervals and count how many tires fall into each interval. The cumulative frequency distribution shows the running total of the frequencies, giving us the total number of tires up to each interval.

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The probability of event A or B occurring (P(A or B)) is 0.5680, which corresponds to option c. To solve this problem, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Since events A and B are independent, we know that P(A and B) = P(A) * P(B)

Substituting the given probabilities, we get:

P(A or B) = 0.40 + 0.28 - (0.40 * 0.28)
P(A or B) = 0.68 - 0.112
P(A or B) = 0.568

Therefore, the answer is c. 0.5680.

If events A and B are independent, we can find the probability of A or B occurring (P(A or B)) by using the formula: P(A or B) = P(A) + P(B) - P(A) * P(B).

Given the probability of event A (P(A)) is 0.40 and the probability of event B (P(B)) is 0.28, we can plug these values into the formula:

P(A or B) = 0.40 + 0.28 - (0.40 * 0.28) = 0.40 + 0.28 - 0.112 = 0.568.

So, the probability of event A or B occurring (P(A or B)) is 0.5680, which corresponds to option c.

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None of the options are commutative for the given binary operations.

commutative property:

a*b = b*a

* is any binary operation.

Consider option a: subtraction of integers

Let a = 2,  b = 3

a - b = b - a (commutative property)

But

2 - 3  ≠ 3 - 2

-1  ≠ 1 not commutative

Option b: . division of nonzero real numbers

Let a = 2,  b = 3

a/b = b/ a (commutative property)

But

2/3  ≠ 3/2  not commutative

Option c. function composition of polynomials.

Let polynomial be a - b

Let a = 2,  b = 3

a - b = b - a (commutative property)

But

2 - 3  ≠ 3 - 2

-1  ≠ 1 not commutative

Thus, none of the options are commutative for the given binary operations.

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Answer:

Changes in size and shape are examples of physical changes in matter

Answer:

6 sides

360/60=6

pls mark brainliest

The number of sides in the building is 6

6 sides

Given :

Melissa is walking around the outside of a building that is in the shape of a regular polygon.

She determines that the measure of one exterior angle is 60 degree

We know that the measure of exterior angle of any regular polygon is 360 degrees.

one exterior angle is 60°

The number of sides of regular polygon is total exterior angle / one exterior angle

Number of sides of regular polygon =\(\frac{360}{60}=6\)

So, the building have 6 sides .

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Answer:

96 sq yards

Step-by-step explanation:

40-24 is 16, and 16/2 is 8. 8 is the second length, so 8 times 12 is 96 which is the area

Answer:

(60-39) divided by 60= 0.35

0.35 x 100 = 35

35%

Step-by-step explanation:

Answer:

110 hope u get a good grade:) add me on ig welia.martinez

.

Step-by-step explanation:

Answer:

The image will be exactly equal and in the same location as its preimage

Step-by-step explanation:

Notice that a \(360^o\) rotation on the plane, brings the image to exactly the same position it has initially, since it is a full circle rotation.

Therefore, the image would be exactly overlapping with the initial preimage.

Answer:

64 = <2

Step-by-step explanation:

Vertical angles are equal so if 1 and 2 are vertical angles

<1 = <2

64 = <2

Answer:

let the three no. be x, x+2, x+4

so, x+x+2+x+4= 51

3x+6= 51

3x=45

x=15

hence the required numbers are

x=15

x+2= 17

x+4=19

Answer:

camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012

Step-by-step explanation:

if you rewrite in standard notation

camera A : 0.0012

camera B : 0.00098

camera C : 0.0011

camera D : 0.00087

Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Answer:

T−.5×(2.00)

Step-by-step explanation:

The points awarded to players in a certain video game are proportional to the amount of time played. For every four minutes of gameplay, players receive 1/2 point.

Additionally, for every 12 minutes of gameplay, players receive 1 1/2 points.
To calculate the number of points awarded, we can break down the gameplay time into intervals of 4 minutes and 12 minutes.

Let's consider an example:
If a player plays the game for 16 minutes, we can divide this into two intervals: 4 minutes and 12 minutes.
For the first 4 minutes, the player would receive 1/2 point.
For the next 12 minutes, the player would receive 1 1/2 points.
In total, the player would receive 2 points (1/2 point + 1 1/2 points).
This calculation can be applied to any given time interval.
The points awarded to players in this video game are calculated based on the amount of time played.

For every 4 minutes of gameplay, players receive 1/2 point, and for every 12 minutes, players receive 1 1/2 points.

To determine the total points earned, divide the gameplay time into intervals of 4 minutes and 12 minutes, and calculate the corresponding points for each interval.

Summing up all the points from the intervals will give the total points awarded.
In this video game, the number of points awarded to players is directly proportional to the amount of time played.

The game has specific rules for awarding points based on different time intervals.

For every 4 minutes of gameplay, players receive 1/2 point. This means that if a player plays the game for exactly 4 minutes, they would receive 1/2 point.

If they play for 8 minutes, they would receive 1 point (2 intervals of 4 minutes, each awarding 1/2 point). Similarly, for every 12 minutes of gameplay, players receive 1 1/2 points.

So if a player plays for exactly 12 minutes, they would receive 1 1/2 points. If they play for 24 minutes, they would receive 3 points (2 intervals of 12 minutes, each awarding 1 1/2 points).

To calculate the total points earned, we need to divide the total gameplay time into intervals of 4 minutes and 12 minutes and calculate the corresponding points for each interval.

Finally, we sum up all the points from these intervals to get the total points awarded to the player.
In the given video game, the points awarded to players are directly proportional to the time played. For every 4 minutes, players receive 1/2 point, and for every 12 minutes, players receive 1 1/2 points. By dividing the gameplay time into intervals of 4 minutes and 12 minutes, we can calculate the corresponding points for each interval and sum them up to determine the total points earned.

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Answer:

0,1,2

0,-3,-5

Step-by-step explanation:

Answer:

I got the answer 5/9

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

If you graph the coordinates, you'll be able to find the slope. if you learned, you should know rise/run

A spurious correlation is the implied causal relationships between events that are statistically  linked.

Spurious correlation;

A spurious correlation (or spuriousness) in statistics is an apparent causal relationship between two variables. Any reported dependencies between variables are solely the result of chance or are both a result of an unidentified confounder when there is misleading correlation.

When the price of higher education and the cost of living both rise, for instance, this doesn't necessarily indicate a causal link between the two factors because higher education tuition isn't always the result of rising living costs.

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Answer:

C

Step-by-step explanation:

Multiplying 1.6 gets you how far he walks, and then dividing the answer gives you how many times he would be stops, roughly 6.4 times

Answer:

3/8 lb or 6 oz

Step-by-step explanation:

If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A similar question is attached and is solved.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.

A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:

sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image:

let the distance from jack to the base of the building be x, hence:

tan60 = x / 60

x = 60 * tan60 = 104 ft.