evelyns yoga class has 50 participants. its rules require that 60% of then must be present for a class. If not, the class will be canceled. At least how many participants must be present to have a class

Step-by-step explanation:

Side a = 63

Side b = 21

Side c = 66.40783 = 21√10

Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad

Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad

Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5

Perimeter p = 150.40783

Semiperimeter s = 75.20392

Height ha = 21  

Height hb = 63

Height hc = 19.92235

Median ma = 37.85829  

Median mb = 63.86901

Median mc = 33.20392

Inradius r = 8.79608  

Circumradius R = 33.20392  

Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]

Centroid: [24.34954, 6.64078]

Inscribed Circle Center: [12.20392, 8.79608]

Circumscribed Circle Center: [33.20392, 0]

Answer:

See below

Step-by-step explanation:

To find zeroes:

  0 = (-16t-4)(t-2)

      so   -16t-4 = 0      t = -1/4

         or  t-2 = 0         t = 2  

when the ball is thrown, t= 0

  put t= 0 in the equation to find the initial height

      y = ( -16t -4)(t-2)

        = ( -16(0)-4)(0-2) = (-4)(-2) = 8 ft

The solutions to the inequalities are x ≤ -5, x ≥ 1 and x > 1

From the question, we have the following parameters that can be used in our computation:

-4x ≥ 20

8 ≤ -4(x - 1)

3x - 2 > 4 - 3x

Next, we solve the inequalities

Inequality 1

-4x ≥ 20

Divide both sides of the inequality by -4

So, we have the following representation

x ≤ -5

Inequality 2

8 ≤ -4(x - 1)

Divide both sides of the inequality by -4

So, we have the following representation

-2 ≥ -x - 1

Rewrite as

x + 1 ≥ 2

Evaluate the like terms

x ≥ 1

Inequality 3

3x - 2 > 4 - 3x

Add to both sides of the inequality 3x

So, we have the following representation

6x - 2 > 4

Add to both sides of the inequality 2

So, we have the following representation

6x  > 6

Divide by 6

x > 1

Hence, the solution is x > 1

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The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

To find the tangential and normal components of the acceleration vector, we need the velocity vector and the curvature of the path. The tangential component of acceleration (at) represents the change in speed or direction along the path. It is given by the derivative of the velocity vector with respect to time. The normal component of acceleration (an) represents the change in direction perpendicular to the path. It is given by the curvature of the path multiplied by the square of the speed.

In mathematical terms:

at = dV/dt

an = (V^2) / R

where:

V is the velocity vector

t is time

R is the radius of curvature of the path.

The tangential component of the acceleration vector represents the change in speed or direction along the path. The normal component of the acceleration vector represents the change in direction perpendicular to the path.

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The largest factor of the sum of y and z is 24.

The replacement approach has the advantage of providing the precise values for the variables (x and y), which correspond to the site of intersection.

When using the "by substitution" method, you must first solve one of the equations provided (you must choose which one) for one of the variables (you must choose which one), after which you must plug this value back into the other equation provided (you must "substitute" for the chosen variable and solve for the other value). The first equation is then used to back-solve for the first variable. The many procedures required in using the replacement approach to solve problems have been described in full above. Use those to discover the solution to a given system of linear equations.

We are given with three equations having three unknowns:

x = z/4

x + y + z = 26

y = 2z

Using the method of substitution, we can now solve for each of the three unknowns.

Since the first equation, x = z/4, is an equation for x in terms of z, and the third equation, y = 2z, is an equation for y in terms of z, we can replace x and y in the second equation by their equivalent expressions as follows:

x + y + z = (z/4) + (2z) + z = 26

We are left with an equation with just one unknown z. We can now solve for z:

(z/4) + (2z) + z = 26

z/4 + 8z/4 + 4z/4 = 13z/4 = 26

z/4 = 2

z = 8

Now that we know z, we can easily solve for y, then compute y + z (note: we can also solve for x, but since we are not interested in the value of x there is no need to do so):

y = 2z = 2(8) = 16

y + z = 16 + 8 = 24

Since the largest factor of any number is the number itself, the largest factor of the sum of y and z is 24.

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David is completing a Rorschach test, which is a type of projective psychological assessment. The test consists of a series of inkblots presented to the participant, and their responses are analyzed by the researcher to gain insights into their personality, thought processes, and emotional functioning.

The Rorschach test is a widely used tool in clinical psychology and has been subject to much controversy and debate over its validity and usefulness in assessment.

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Answer:

the pic is not clear in my system

The correct way to prove that the triangle KJL is by drawing the line KM, where M is a point on the line JL and bisector to the angle K.

It is given that sides KJ=KL.

The side KM is common to triangle KLM and triangle KJM .

Thus, the triangle is an isosceles triangle by SAS. since the side KJ= KL and KM is a common side and the angle K is bisected by the line KM.

Thus, the correct option is option 4. The triable is isosceles by SAS.

Answer:

Step-by-step explanation:

M is the point where KM meets the line JL.

So, we have 2 right angled triangles formed which are congruent by SAS.

(a) The difference between the cost of the machine and the cash received is the loss on the sale, which is also credited. (b) The cash received is less than the machine's carrying amount, and the loss on sale is higher than in part (a).

(a) The entry to record the sale of the machine for $26,000 cash would be:

Cash                                    $26,000
Accumulated Depreciation   $27,000
Loss on Sale of Machine         $ 4,000
Machine                                  $49,000

The company needs to remove the machine from its books, so it will debit the machine's cost and accumulated depreciation to remove it. The cash received from the sale is credited.

(b) The entry to record the sale of the machine for $15,000 cash would be:

Cash                                    $15,000
Accumulated Depreciation   $27,000
Loss on Sale of Machine         $ 7,000
Machine                                  $49,000

The company needs to remove the machine from its books, so it will debit the machine's cost and accumulated depreciation to remove it. The cash received from the sale is credited. The difference between the cost of the machine and the cash received is the loss on the sale, which is also credited.

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Null hypothesis: The bag filling machine works correctly at the 421 gram setting.

Alternative hypothesis: The bag filling machine underfills the bags at the 421 gram setting.

In hypothesis testing, the null hypothesis (H₀) represents the status quo or the belief that there is no significant difference or effect, while the alternative hypothesis (H₁) represents the claim or belief that there is a significant difference or effect.

In this scenario, the null hypothesis states that the bag filling machine works correctly at the 421 gram setting. This means that the mean weight of the bags filled by the machine is equal to 421 grams. The alternative hypothesis, on the other hand, suggests that the machine underfills the bags, indicating that the mean weight of the bags is less than 421 grams.

To determine which hypothesis is supported by the data, a hypothesis test will be conducted using the sample mean and the given level of significance. The sample mean of the 21 bag sample is 417 grams, which is lower than the hypothesized mean of 421 grams. The standard deviation of the sample is 13 grams.

The level of significance, denoted as α, is the probability of rejecting the null hypothesis when it is true. In this case, a significance level of 0.1 will be used, which means that there is a 10% chance of rejecting the null hypothesis when it is actually true.

Based on this information, the null and alternative hypotheses can be stated as follows:

Null hypothesis: The bag filling machine works correctly at the 421 gram setting (μ = 421).

Alternative hypothesis: The bag filling machine underfills the bags at the 421 gram setting (μ < 421).

The hypothesis test will involve calculating a test statistic and comparing it to a critical value or using p-values to determine the statistical significance of the results.

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The toy rocket will hit the ground after approximately 3.86 seconds.

The rocket will hit the ground when its height is equal to zero, so we can use the equation h = -4.97t^2 + 38.5t + 5.6 to find the value of t that satisfies this condition. To do this, we set h equal to zero and solve for t:

0 = -4.97t^2 + 38.5t + 5.6

-5.6 = -4.97t^2 + 38.5t

4.97t^2 - 38.5t - 5.6 = 0

This is a quadratic equation and can be solved using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Where a = 4.97, b = -38.5, and c = -5.6.

Plugging in these values, we get:

t = (-(-38.5) ± √((-38.5)^2 - 4 * 4.97 * -5.6)) / (2 * 4.97)

t = (38.5 ± √(1466.25 + 113.92)) / 9.94

t = (38.5 ± √1580.17) / 9.94

The square root of 1580.17 is 39.67, so:

t = (38.5 ± 39.67) / 9.94

t = (38.5 + 39.67) / 9.94 or (38.5 - 39.67) / 9.94

The first solution gives us a time of approximately 3.86 seconds, while the second solution is negative and therefore represents an unrealistic result.

The toy rocket will hit the ground after approximately 3.86 seconds.

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Answer:

2/5(2t+125)

Step-by-step explanation:

if factorization,then this is the ans

4/5t+150

2/5(2t+125)

Answer:

x = − 1 3 − 1

Step-by-step explanation:

Solve the equation for  x by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula. x = − 1 3 − 1

Answer:

that looks like a cat.

Step-by-step explanation:

sorry, that's probably a snake :D

We can use the system οf equatiοns tο sοlve fοr the length and width οf Marikο's garden. The first equatiοn represents the fact that the perimeter οf the garden, which is the sum οf the length and the width multiplied by twο, is equal tο 50 feet.

The secοnd equatiοn represents the fact that the sum οf the length and the width is equal tο 25 feet. We can sοlve this system οf equatiοns using substitutiοn οr eliminatiοn.

Using substitutiοn, we can sοlve fοr οne variable in terms οf the οther in the secοnd equatiοn:

L + W = 25

W = 25 - L

Nοw we can substitute this expressiοn fοr W intο the first equatiοn:

2L + 2W = 50

2L + 2(25 - L) = 50

Simplifying:

2L + 50 - 2L = 50

50 = 50

This equatiοn is true fοr any value οf L and W that satisfies the cοnditiοn that the sum οf the length and the width is equal tο 25 feet. Sο we have infinitely many pοssibilities fοr the length and width οf Marikο's garden.

Hοwever, there are limits tο what values the length and width can be. Fοr example, bοth the length and the width must be pοsitive and less than 25 feet fοr the garden tο fit within the 50 feet οf fencing that Marikο has. Additiοnally, we might want the length and width tο be integers οr tο satisfy sοme οther cοnstraint. But within the cοnstraints given by the prοblem, there are infinitely many pοssible sοlutiοns fοr the length and width οf the garden.

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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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Answer:

ABCD has congruent diagonals.

ABCD is a rhombus.

ABCD has four congruent angles

Step-by-step explanation:

The following statements would be considered true

1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular

2. ABCD would be treated as the rhombus as it is a  regular quadrilateral

3. ANd, It Have the four congruent angles that means the four angles be 90 degrees

The other statements would be false.

Answer:

A,B,E

Step-by-step explanation:

Edge 2021

Answer:

=50x2−1400x+4800

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(V=\frac{4\pi r^3}{3}\\ \\ r^3=\frac{3V}{4\pi}\\ \\ r=\sqrt[3]{\frac{3V}{4\pi}}\\ \\ r\approx 4ft\)

Answer: 1/2, Decimal : 0.5

Step-by-step explanation:

Answer:

a. h = A/w = 2 ³/₄ ft

b. A'/A = 2/3

Step-by-step explanation:

a. What is the total height of the wall? Write an equation to represent the situation. Then solve.

The wall is a rectangle and its area is A = wh where w = width and h = height of wall.

Making h subject of the formula,

h = A/w

Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then

h = A/w

= 23 ³/₈ ft² ÷ 8 ¹/₂ ft

= 187/8 ft² ÷ 17/2 ft

= 187/8 ft² × 2/17 ft

= 187/4 ft² × 1/17 ft

= 187/68 ft

= 2 ³/₄ ft

b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.

Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft²  and the total are of the retaining wall is A =  23 ³/₈ ft²

The fraction of the wall that is brick = A'/A

= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²

= 187/12 ÷ 187/8

= 187/12 × 8/187

= 8/12

= 2/3

Answer with Step-by-step explanation:

a) 2 3/4 ÷ 3 = 11/12 feet

11/12 + 11/12 = 1 5/6

Or, you could write an algebraic equation:

2 3/4 ÷ 3 = x.  (3x = 2 3/4)

x = 11/12

The height of the brick proportion of the wall is 1 5/6

b)

You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.

So, your rounded answer should be 16. Or 16 1/2

c)  

Area = 8 1/2 x 2 3/4.

Use Distributive Property to solve the area.

(8 x 2) + (3/4 x 1/2) = x

8 x 2 = 16

3/4 x 1/2 = 3/8

16 + 3/8 = 16 3/8

x = 16 3/8

I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.

-kiniwih426

Answer:

I think the answer is (x + 4) • (x + 2)

Step-by-step explanation:

First multiply the coefficient of the first term by the constant

Step 2: Find two factors of 8 whose sum equals the coefficient of the middle term 6

Step 3: write the polynomial splitting the middle term using the two factors found in step 2

Step 4:  Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

Add up the last 2 terms, pulling out common factors :

                   4 • (x+2)

Step 5: Add up the four terms in step 4

(x+4)  •  (x+2)

Your final answer is (x + 4) • (x + 2)

The cost of one small order of fries at the Burger Palace is $1.09. The correct answer is not given in any option.

The price is another name for the cost of a thing from the perspective of a consumer. This is the price the seller sets for a product, which takes into account both the cost of manufacture and the markup the seller adds to increase profits.

Let's say a hamburger costs x dollars and a small order of French fries costs y dollars.

x--------> the cost of one hamburger

y--------> the cost one small order fries

we know that

2x+y=6.50

5x+5y=17.75

using a graph tool

see the attached figure

the solution is

x=2.5

y=1.09

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The complete question is

At The Burger Palace, 2 hamburgers and 1 small order of fries costs $6.50. The Clarke family ordered 5 hamburgers and 5 small orders of fries and paid $17.75.

Select the TWO equations that fit the scenario described above.

A) 2x+y=6.50

B) 6.50x+17.75y=5

C) 2x+5y=24.25

D) 5x+5y=6.50

E) 5x+5y=17.75

Answer:

The function stated by Tucker is incorrect.

V(t) = 4600(0.8)^t

Step-by-step explanation:

Given the function :

V(t)=4,600(0.4)2t

The initial value of equipment = 4600

Decay rate = 40% of very 2 years

The value of equipment t years after purchase

The exponential decat function goes thus :

V(t) = Initial value * (1 - decay rate)^t

The Decay rate per year = 40% /2 = 20% = 0.2

V(t) = 4600(1 - 0.2)^t

V(t) = 4600(0.8)^t

27 cubic in is he Volume of a Cube.

What is a Cube in Mathematics?

In mathematics or geometry, a cube is a solid three-dimensional figure with 6 square faces, 8 vertices, and 12 sides. Also called a hexahedron. Examples of common dice are:

                          Cubes, square ice cubes, Rubik's cubes, square tissue boxes, sugar cubes. A cube has six equal square sides. Also, the dice has 8 vertices (corners) and 12 sides, all of equal length. All the corners of the cube are right angles. Cubic objects include blocks and cubes. 

S = 3 in

volume of cube

                          V=SXSXS

                           V=3x3x3

                           V=27 cubic in

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Answer:

18+x

The sum of two numbers is the result of adding them. Typically we use a letter like x to stand for a number. So the sum of 18 and a number is 18+x.

Answer:

No solution

Step-by-step explanation:

14 + x = 7y

x – 7y = 14

---

x – 7y = –14

x – 7y = 14

____________–

0 = –28

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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