Is -1 35/55 an irrational number

Answer:

40 miles per hour

Step-by-step explanation:

Driver a could be going 50 miles per hour

Driver c could be going 30 miles per hour

40 miles per hour is in the middle so that could be your answer

Answer:

jjjjjjjjjjhhhhhhhjjjjjjhhhhhh

The value of y when x = 4 is 3.

In this given condition statement, if x is greater than 5, the value of y is 1. If x is less than 5, there is an additional condition.

If x is less than 3, the value of y is 2.

Otherwise, if x is not less than 3, the value of y is 3. Lastly, if x is equal to 5, the value of y is 4.

In the case of x = 4, x is less than 5 but not less than 3.

Therefore, the condition statement within the else condition is satisfied, resulting in the value of y being 3.

This means that when x is equal to 4, the value of y equals 3 as per the given conditions.

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The table goes:

x     y

-2    -4

-1     -1

0      0

1       1

2      4

Meaning the points that you plot are:

(-2, -4)

(-1, -1)

(0, 0)

(1, 1)

(2, 4)

Explanation:

Whatever was in the x part of the table, you multiply it by itself for its corresponding y value.

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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Answer:

Step-by-step explanation:

In number 4 the given figure is a parallelogram,

So,

Base of the parallelogram = 14

Height of the parallelogram = 9

Therefore,

Area of the parallelogram = Base × Height

= 14 × 9

= 126

Hence, area of figure in question no. 4 is 126 (Ans)

Complete question :

A circular swimming pool has a radius of 28 ft. There is a path all around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path.

About how many feet of fencing are needed to go around the pool path

Answer:

201 feets

Step-by-step explanation:

The Circumference of a circle, C :

C = 2 * pi * r

r = Radius ; pi = 3.14

The entire Radius = pool radius + pathnaroind the pool = 28 + 4 = 32

Hence, the Circumference, which gives the value of fencing required is :

C = 2 * 3.14 * 32

C = 200.96 ft

C = 201 feets

Answer:

D. 201

Step-by-step explanation:

Question might be incomplete or incorrect so we'd have to assume Mateo took apples

Answer:

5/189 apples

Step-by-step explanation:

If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples

If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378

Reduce to lowest terms to get 5/189 apples

Answer:

x=77°

Step-by-step explanation:

angles in triangle add to 180°

180°-43°-60°=x°

77°=x°

Answer:

B is the answer

Step-by-step explanation:

This answer is reasonable because it shows that 398 + x (the amount that still has to be distributed) equal the total amount of middle school students who ordered a year book.

total books = 432

total books distributed = 398

total books needed = x

equation:

\(\tt x+398=432;x=34\)

Answer:

not true

Step-by-step explanation:

i just wants points mate

Answer:

x = 44°

Step-by-step explanation:

here's your solution

=> we know that the sum of (3x + 4°) + x° = 180°

=> 3x + x + 4° = 180°

=> 4x + 4° = 180°

=> 4x = 180° - 4°

=>. 4x = 176°

=> x = 176°/4

=> x = 44°

Choices B, C, and D are not applicable in this case since the question asks specifically for the dates when the water level will not exceed 22ft.

To determine the dates for which the water level will not exceed 22ft, we need to find the number of weeks after July 1 that the water level remains at or above 22ft.

Starting with a depth of 24ft on July 1, and a decrease of 2/3 ft per week, we can set up an inequality to represent the water level:

24 - (2/3)x ≥ 22

To solve for x, we can subtract 24 from both sides:

-(2/3)x ≥ -2

Then, multiplying both sides by -3/2 (and flipping the inequality sign since we are multiplying by a negative number):

x ≤ 3

Therefore, the water level will not exceed 22ft for dates at most 3 weeks after July 1. This corresponds to choice A.

So, the completed choices are:

A. The water level will not exceed 22ft for the dates at most 3 weeks after July 1.

B. The water level will not exceed 22ft for the dates at least _____ weeks after July 1.

C. The water level will not exceed 22ft for the dates earlier than ______ weeks after July 1.

D. The water level will not exceed 22ft for the dates later than ______ weeks after July 1.

Please note that choices B, C, and D are not applicable in this case since the question asks specifically for the dates when the water level will not exceed 22ft.

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Answer:

4 packs burger and 3 packs of bread rolls

The image of the vertices of the triangle is A'(x, y) = (- 5, - 9), B'(x, y) = (13, 7) and C'(x, y) = (- 13, 5).

In this problem we must determine the image of a triangle by dilation. Graphically speaking, triangles are generated by three non-colinear points on a plane. The dilation is defined by following equation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that A(x, y) = (- 2, - 3), B(x, y) = (7, 5), C(x, y) = (- 6, 4), k = 2 and O(x, y) = (1, 3), then the coordinates of points A', B' and C':

A'(x, y) = (1, 3) + 2 · [(- 2, - 3) - (1, 3)]

A'(x, y) = (1, 3) + 2 · (- 3, - 6)

A'(x, y) = (1, 3) + (- 6, - 12)

A'(x, y) = (- 5, - 9)

B'(x, y) = (1, 3) + 2 · [(7, 5) - (1, 3)]

B'(x, y) = (1, 3) + 2 · (6, 2)

B'(x, y) = (1, 3) + (12, 4)

B'(x, y) = (13, 7)

C'(x, y) = (1, 3) + 2 · [(- 6, 4) - (1, 3)]

C'(x, y) = (1, 3) + 2 · (- 7, 1)

C'(x, y) = (1, 3) + (- 14, 2)

C'(x, y) = (- 13, 5)

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Answer:

12b (1-2) -n (u-8) this is the answer

Answer:

5

Step-by-step explanation:

To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

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Answer:

Step-by-step explanation:

10 , 9,8,7,6,5,4,3,2,1,0,-1,-2-3,-4

Hope this helps

pretty sure my answer was incorrect but I cant delete it

The length of side BC is approximately 8.72 km.

To find the length of side BC using the cosine rule, we can use the following formula:

BC² = AB² + AC² - 2 AB AC Cos(A)

where BC represents the length of side BC, AB represents the length of side AB, AC represents the length of side AC, and A represents the angle opposite to side BC.

Plugging in the given values:

BC² = (25.3 km)² + (16.7 km)² - 2 (25.3 km) (16.7 km) Cos(68.5°)

BC² = 640.09 km² + 278.89 km² - 2 × 25.3 km × 16.7 km × cos(68.5°)

BC² = 919.98 km² - 843.91 km²

BC² = 76.07 km²

Taking the square root of both sides:

BC = √76.07 km

BC ≈ 8.72 km

Therefore, the length of side BC is approximately 8.72 km.

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The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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(a) To capture the axial force variation along the length of the worm, a good worm-element mesh should have denser elements near the beak (B) and ground level (G) where the axial force is high and the soil friction is low.

As we move towards the middle section of the worm (DE), where the axial force drops rapidly, the elements can be spaced farther apart. This mesh structure would effectively capture the axial force distribution.

(b) Boundary conditions: The beak end (B) of the worm can be fixed, representing a fixed support. The ground level end (G) can be subjected to prescribed displacement or traction boundary conditions, depending on the specific problem.

Applied forces: External loads or forces acting on the worm can be applied as nodal forces at appropriate nodes in the mesh. These forces should be distributed along the length of the worm according to the desired axial force distribution.

Friction forces: Soil friction can be represented as additional forces acting on the elements. These friction forces should decrease as we move from the beak end towards the ground level, capturing the decrease in soil friction along the worm's length.

(c) To model the distinction between the skin and insides of the worm, an appropriate finite element model would be a layered shell model or a composite model. The skin and insides can be represented as different layers within the elements. This would allow for different material properties and behaviors for the skin and the internal part of the worm.

(d) To include the soil as an elastic medium, additional elements representing the soil can be incorporated into the model. These soil elements would interact with the worm elements through contact or interface conditions, capturing the interaction between the worm and the soil. The soil elements should be modeled as elastic elements with appropriate material properties to represent the soil's response to deformation and load transfer from the worm.

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Answer:

\( - 3x = 4.2 \\ - x = \frac{4.2}{3} \\ - x = 1.4 \\ x = - 1.4 \\ thank \: you\)

Answer:

B. less than 15% just took the quiz and got a 100

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The range of a data set is the difference between the maximum and minimum values in the set. In the given data set, the range is 8241. The variance of the data set is 2493386.1. The standard deviation of the data set is approximately 1578.1.

To compute the range of the data set, we find the difference between the maximum and minimum values. In this case, the maximum value is 8260 and the minimum value is 7, so the range is 8260 - 7 = 8241.

To calculate the variance, we first find the mean of the data set. Adding up all the values and dividing by the number of data points, we get (89+91+55+7+20+99+25+81+19+82+60) / 11 = 583.9090909 (rounded to 1 decimal place). Then, for each data point, we subtract the mean, square the result, and sum up these squared differences. Dividing by the number of data points, we get the variance as (2060274.1) / 11 = 2493386.1 (rounded to 1 decimal place).

The standard deviation is the square root of the variance. Taking the square root of the variance 2493386.1, we find the standard deviation to be approximately 1578.1 (rounded to 1 decimal place). The standard deviation provides a measure of the dispersion or spread of the data around the mean, indicating how much the data points deviate on average from the mean.

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Answer:

greater

Step-by-step explanation:

Answer:

6.5 rounded from 6.53...

to see if this is correct we can:

13.5+9.5+6.5*3 = 42.5

but since we rounded it we can say its 6.5

Answer:

6.55 meters each day

Step-by-step explanation:

You know that in the end the fence must be 42.6 meters long.

On Monday & Tuesday, he installed 22.95 meters of fence. (We know this because 13.45 + 9.5 = 22.95).

So, how much is left? You find that by subtracting 22.95 from 42.6.

42.6-22.95 = 19.65 meters

There are 3 days left of fencing, and these days he will install equal lengths, so you can divide 19.65 meters by 3 days.

19.65 / 3 = 6.55 meters of fence per day

The total number of balls is 15 + 4 = 19. To find the probability of selecting at least one green ball, we need to find the probability of selecting all white balls and then subtract it from 1. The probability of selecting all white balls can be found as follows.

We are given an urn that contains 15 white balls and 4 green balls. We are asked to find the probability of selecting at least one green ball when a sample of 7 balls is selected at random.The total number of balls is 15 + 4 = 19. To find the probability of selecting at least one green ball, we need to find the probability of selecting all white balls and then subtract it from 1.The probability of selecting a white ball can be found as follows:Probability of selecting a white ball = Number of white balls / Total number of balls Probability of selecting a white ball = 15/19

To find the probability of selecting 7 white balls in a row, we can use the multiplication rule of probability as follows:Probability of selecting 7 white balls in a row = Probability of selecting the first white ball x Probability of selecting the second white ball given that the first ball was white x Probability of selecting the third white ball given that the first two balls were white x ... x Probability of selecting the seventh white ball given that the first six balls were white

Probability of selecting 7 white balls in a row = (15/19) x (14/18) x (13/17) x (12/16) x (11/15) x (10/14) x (9/13)Probability of selecting 7 white balls in a row = 0.1226 Now, to find the probability of selecting at least one green ball, we subtract the probability of selecting all white balls from 1 as follows:Probability of selecting at least one green ball = 1 - Probability of selecting all white balls Probability of selecting at least one green ball = 1 - 0.1226 Probability of selecting at least one green ball = 0.8774 Therefore, the probability of selecting at least one green ball when a sample of 7 balls is selected at random is 0.8774.

In conclusion, we can say that the probability of selecting at least one green ball when a sample of 7 balls is selected at random from an urn containing 15 white balls and 4 green balls is 0.8774.

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Answer:

30<x+8 and 22<x

Step-by-step explanation:

subtract 8 from 30 to get 22

Answer

30<x+8 and 22<x