Lilly is investigating a quadrilateral. She measures an angle between the diagonals to be 85 degrees. Which of the following shapes could the quadrilateral be?

A. Kite
B. Rectangle
C. Rhombus
D.square

Answer:

-10

Step-by-step explanation:

70= -7k

70 -7k

-- --

-7 -7

-10=k

Have a great day

Answer:

k= -10

Step-by-step explanation:

70= -7k

Divide both sides by -7

-7k/-7 = 70/7

Simplify

k=-10

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Answer:

Step-by-step explanation:

To check for 6 - Number should be Divisible by 2 and 3

4186650 is divisible by 2 % 3

To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8

4186650 / 4 = 165.5

So the number is not divisible by 8

To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible

4 + 8 + 6 + 0 = 19

1 + 6 + 5 = 12

19 - 12 = 7

So the number is not divisible by 11

Hope you are clear

The probability that a person who tests positive actually has the disease is 0.1046.

This problem is a classic application of Bayes' law, but let's try a more concrete approach rather than a boilerplate approach.

Suppose 1,000,000 people are being tested.

According to the incidence, 0.5 percent should be ill, so we would expect 5,000 to be ill and 995,000 not to be ill.

We are testing 5000 of him for this disease. With only a 7% false negative rate, the test is pretty good. That is, out of 5,000 or 350 people with the disease, only 7% will test negative, and the remaining 4,650 will test positive.

We are testing 995,000 people who are not sick. With only a 4% false positive rate, the test is pretty good. That means only 4% of 995,000 or 39,800 diseased people will test positive. The remaining 955,200 will be negative.

4,650 sick and tested positive

39,800 not sick but tested positive

350 sick and tested negative

955,200 not sick but tested negative

our test 955,200 + 4,650 = 959,850 people tested

4,650 + 39,800 = 44,450 people tested positive, but only 4,650 actually tested positive. This is a very small percentage, only 465044450≈0.1046.

In other words, if your doctor says you tested positive, there's only about a 10.5% chance that you actually have the disease. That's the probability we're looking for, and this low value indicates that this test isn't very good.

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Answer:

period = 360°

Step-by-step explanation:

The period is one complete cycle of the waveform

At 0° the graph is at 40 on the vertical axis

At 360° the graph is at 40 on the vertical axis

This represents the period = 360°

The level curves for f(x, y) = c, where

c = -2, 0, and 2, correspond to the equations

y = x³ + 2,

y = x³, and

y = x³ - 2, respectively.

To sketch the level curves for the function f(x, y) = c, where c is a constant, we can substitute the given values of c into the equation and plot the resulting curves. Let's consider c = -2, 0, and 2.

For c = -2:

The equation becomes

f(x, y) = x³ - y = -2. Rearranging, we have

y = x³ + 2. This represents a cubic function where the value of y depends on the value of x. By plotting this curve, we can visualize the level curve for c = -2.

For c = 0:

The equation becomes

f(x, y) = x³ - y = 0. Rearranging, we have

y = x³. This represents a cubic function passing through the origin. By plotting this curve, we can visualize the level curve for c = 0.

For c = 2:

The equation becomes

f(x, y) = x³ - y = 2. Rearranging, we have

y = x³ - 2. This represents a shifted cubic function where the value of y depends on the value of x. By plotting this curve, we can visualize the level curve for c = 2.

Therefore, to sketch the level curves for

f(x, y) = c, where c takes the values -2, 0, and 2, we need to plot the curves

y = x³ + 2 (c = -2),

y = x³(c = 0), and

y = x³ - 2 (c = 2), respectively.

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There are 2475 ways to place 10 identical red balls and 10 identical blue balls into 4 distinct urns, given the condition for the first urn.

We want to place 10 identical red balls and 10 identical blue balls into 4 distinct urns with the condition that the first urn has at least 1 red ball and at least 2 blue balls.

Step 1: Place the minimum number of balls in the first urn.
Let's place 1 red ball and 2 blue balls in the first urn. Now we have 9 red balls and 8 blue balls left to distribute.

Step 2: Use the stars and bars method to distribute the remaining balls.
For the remaining 9 red balls, we will use the stars and bars method. There are 3 urns left to place the balls, so we will have 2 "bars" to divide them. In total, we have 9 stars (red balls) and 2 bars, so there are C(11, 2) ways to distribute the red balls, where C(n, k) represents combinations.

If the first urn has no red balls, then we need to place all 10 red balls into the other 3 urns, and the blue balls can go into any of the 4 urns. There are 3^10 ways to place the red balls and 4^10 ways to place the blue balls, so there are 3^10 * 4^10 ways to violate the condition in this way.

If the first urn has exactly 1 red ball and fewer than 2 blue balls, then we need to place the other 9 red balls and the remaining blue balls into the other 3 urns. There are 3^9 ways to place the red balls, and (4 choose 2) * 3^8 ways to place the blue balls (since we need to choose 2 of the remaining 3 urns to put the blue balls in). So there are 3^9 * (4 choose 2) * 3^8 ways to violate the condition in this way.

For the 8 blue balls, we also use the stars and bars method. Again, there are 3 urns left, so we will have 2 "bars" to divide them. We have 8 stars (blue balls) and 2 bars, so there are C(10, 2) ways to distribute the blue balls.

Step 3: Calculate the total ways to distribute the balls.
Since the ways to distribute red balls and blue balls are independent, we multiply the number of ways to distribute the red balls by the number of ways to distribute the blue balls.
Using the principle of inclusion-exclusion, the total number of ways to place the balls into the urns that satisfy the condition is:

4^20 - 3^10 * 4^10 - 3^9 * (4 choose 2) * 3^8

= 2,922,821,387,520 - 3,486,784,401,920 - 312,491,796,480

= 123,544,189,120
Total ways = C(11, 2) * C(10, 2) = 55 * 45 = 2475

So, there are 2475 ways to place 10 identical red balls and 10 identical blue balls into 4 distinct urns, given the condition for the first urn.

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Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

Alphonso signed a contract with the martial arts training studio called "Champions Ta-Kwon-Do" that contained a liability waiver clause.

The clause stated that the studio would not be held responsible for any injuries or damages suffered by the participants. Alphonso agreed to the contract by signing it, despite his initial reluctance.

However, Alphonso experienced an injury while participating in a sparring session at the studio due to a water spill on the floor, which was the fault of Champions Ta-Kwon-Do. Alphonso now wishes to sue the studio for his injuries.

The enforceability of the liability waiver clause in the contract depends on several factors, including the jurisdiction's laws and regulations governing such waivers, as well as the specific circumstances surrounding the contract's formation.

In general, liability waivers are not always absolute and can be subject to scrutiny by courts.

While Alphonso did sign the contract, it may be argued that the waiver clause is unconscionable or against public policy if it seeks to absolve Champions Ta-Kwon-Do from liability for their own negligence or intentional wrongdoing.

Courts may consider factors such as the bargaining power between the parties, any undue influence exerted by the studio, the clarity of the waiver language, and the nature of the injury suffered.

Additionally, the court may assess whether the waiver provision was prominently displayed and whether Alphonso had a reasonable opportunity to negotiate or seek legal advice before signing.

It is advisable for Alphonso to consult with a qualified attorney who specializes in personal injury law. The attorney can evaluate the specific laws applicable in the jurisdiction and the facts of the case to provide accurate legal advice regarding Alphonso's chances of pursuing a lawsuit against Champions Ta-Kwon-Do despite the signed contract.

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Answer:

0.85(24.5)

Step-by-step explanation:

y being the sale price

Answer:

assuming you wanted the value of m

\(m=\frac{5D}{9}+36\)

__________

         \(D=\frac{9}{5}\left(m-36\right)\\=\frac{9}{5}\left(m-36\right)=D\\5\cdot \frac{9}{5}\left(m-36\right)=5D\\=9\left(m-36\right)=5D\\\frac{9\left(m-36\right)}{9}=\frac{5D}{9}\\=m-36=\frac{5D}{9}\\m-36+36=\frac{5D}{9}+36\\m=\frac{5D}{9}+36\)

__________

Hope this helps.

There are 15 cards numbers are from 1 to 15.

From the numbers 1 to 15:

• 8 numbers, are ,odd

• 7 numbers, are ,even,

The probability is the possibility of an event occuring.

Probability of event to happen P(A) = Number of favourable outcomes/Total Number of outcomes

Thus, the probability of an odd card is:

total number of odd cards/total number of cards

= 8/15

the Correct Answer is:

The potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.

What is function?

In arithmetic, a perform from a collection X to a collection Y assigns to every part of X specifically one part of Y.

Main body:

p(x) = x⁴+ 22x² - 16x - 12

From the rational root theorem,

All the possible roots of the function are in the form of a rational number.

x =  ± p/q

x = ± (Factors of the constant term)/ (Factors of leading coefficient)

In the given polynomial,

The constant term is - 12

The leading coefficient is 1

The factors of - 12 are ±1, ±2, ±3, ±4, ±6, ±12

Factors of 1 are ±1.

From the rational root theorem, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.

Therefore, the potential roots of the function are ±1, ±2, ±3, ±4, ±6, ±12.

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The ratio of RMS speed of an ideal gas at 235K and 37K is 2.52011.

The equation V = √((3RT)/M), where R is the universal gas constant, T is the absolute (Kelvin) temperature, and M is the molecular mass, gives the root mean square (R.M.S.) speed V of the molecules of an ideal gas.

In the question, we are asked to find the ratio of the RMS speed of an ideal gas at 235K and 37K.

We are given two temperatures, T₁ = 235K and T₂ = 37K

We calculate the ratio V₁:V₂ in the following way:

V₁:V₂

= √((3RT₁)/M)/√((3RT₂)/M)

= √((3R(235))/M)/√((3R(37))/M)

= √(235/37) {Since, 3, R, and M, cancel off each other}

= √6.351 = 2.52011.

Thus, the ratio of RMS speed of an ideal gas at 235K and 37K is 2.52011.

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Answer:

20

Step-by-step explanation:

PEMDAS

Parentheses: (4+6)= 10

Division: 50/10=5

Multiplication: 5*4=20

In this situation, the p-value should be interpreted as follows: "There is a 13.3% probability that a sample mean of 41.7 inches will occur by chance alone if the true mean height of five-year-old children is 42.5 inches."

The amount of evidence contradicting the null hypothesis is indicated by the p-value.

The null hypothesis in this scenario is that children aged five actually have a mean height of 42.5 inches.

If the null hypothesis is correct, the p-value represents the likelihood of finding a sample mean as extreme as 41.7 inches or more extreme.

We cannot rule out the null hypothesis because the p-value is higher than the usual significance level of 0.05, being 0.133.

This indicates that there is insufficient data to draw the conclusion that the city's mean five-year-old kid height differs considerably from 42.5 inches.

The right conclusion is that, if the true mean height of five-year-old children is 42.5 inches, there is a 13.3% likelihood that a sample mean of 41.7 inches will occur by chance alone.

This shows that, rather than reflecting a genuine difference in the population mean, the observed difference in the sample mean height may possibly be attributable to random variation.

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Answer:

x= -2

Step-by-step explanation:

8-2=6

also, 8-8=0, 6-8= -2

x=-2

Hope this helps:)- please crown me brainliest!

In ΔJKL the sides in order from shortest to longest are \(\overline{LJ}, \overline{JK}, \overline{LK}\).

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in a triangle the side opposite to the greater angle is larger.

Then in the ΔJKL listing the sides from shortest to longest is,

\(\overline{LJ}, \overline{JK}, \overline{LK}\).

As m∠K is 50°, m∠L is 64° and m∠J is 66°.

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Answer:

y= - 3/2x + 7 hope this helps you out :)

The place where the company should place the tower should be the circumcenter of the area.

The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.

To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.

These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.

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Answer:

Step-by-step explanation:To prove that the sum of the squares of four consecutive integers is an even integer, let's consider the four consecutive integers as n, n+1, n+2, and n+3.

The square of an integer can be represented as n^2, (n+1)^2, (n+2)^2, and (n+3)^2.

Now, let's calculate the sum of these squares: n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.

Expanding the squares, we get: n^2 + (n^2 + 2n + 1) + (n^2 + 4n + 4) + (n^2 + 6n + 9).

Simplifying the expression, we obtain: 4n^2 + 12n + 14.

We can see that the sum is always divisible by 2 because each term has a coefficient of n^2, which is an even number. Therefore, the sum of the squares of four consecutive integers is always an even integer.

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Answer:

91

Step-by-step explanation:

given perimeter = 273

perimeter of equilateral triangle = 3a

3a = 273

a = 273/3

a = 91

hence, length of side of the triangle is 91

The missing pacing is approximately 0.811.

To determine the missing pacing, we can use the concept of the pace factor. The pace factor is the average distance covered in one pace.

Given data:

- Line AB: Average number of paces = 15

- Line BC: Average number of paces = 18

- Area of the lot: 177.74 \(m^2\)

First, we need to calculate the total distance covered for lines AB and BC. Since we know the pace factor, we can multiply the average number of paces by the pace factor to find the total distance:

Distance AB = Average number of paces (AB) * Pace factor

Distance AB = 15 * Pace factor

Distance BC = Average number of paces (BC) * Pace factor

Distance BC = 18 * Pace factor

Since the lines AB and BC are perpendicular to each other, the area of the lot can be calculated as the product of the distances AB and BC:

Area of lot = Distance AB * Distance BC

Now we can solve for the missing pacing:

177.74 = (15 * Pace factor) * (18 * Pace factor)

177.74 = 270 * \((Pace factor)^2\)

Dividing both sides by 270:

\((Pace factor)^2\) = 177.74 / 270

\((Pace factor)^2\) ≈ 0.658

Taking the square root of both sides:

Pace factor ≈ √0.658

Pace factor ≈ 0.811

Therefore, the missing pacing is approximately 0.811.

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Answer: 2π/3  

Step-by-step explanation: At 2π, three cycles have been completed. The period is the length of one cycle.

Measure from peak to peak.

Another way to look at it is to measure the first cycle between 0 to π. One cycle has been completed at 2/3 the distance between 0 and π.

Answer:

78.5 ft3

Step-by-step explanation:

First we need to find the volume of both containers.

The volume of a cylinder is given by the equation:

Volume = pi * diameter^2 * height / 4

If cylinder A has a diameter of 6 feet and height of 15 feet, we have:

Volume_A = pi * 6^2 * 15 / 4 = 424.115 ft3

If cylinder B has a diameter of 8 feet and height of 10 feet, we have:

Volume_A = pi * 8^2 * 10 / 4 = 502.6548 ft3

After pumping the water from A to B, the volume of the empty portion of B will be the difference of their volumes:

Volume_B - Volume_A = 502.6548 - 424.115 = 78.5398 ft3

Rounding to the nearest 10th of a cubic foot, we have a difference of 78.5 ft3

The measure of ∠V of the parallelogram is = 150.5°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

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The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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Answer:

80%

Step-by-step explanation:

You have to find the rate for the bike so you divide 30 by 2 and you get 15. After you do that, you make a problem to find the percentage so you take x/100 and 12/15 then you take 12 times 100 and that gives you 1200 then you divide by 15 and get 80. So that means the answer is 80%