Sameen works at an office. During her lunch break, she rides her bicycle to her favorite sandwich shop and eats lunch at a
local park. The graph below shows the distance she is from work over time.
Sameen's Lunch Break
1.5
1.2
0.9
Distance from Work (miles)
0.6
0.3
24
30
6 12 18
Number of Minutes
Select the statement that is true regarding Sameen's lunch break based on the graph.
A Between 0 minutes and 6 minutes, Sameen's distance from work is constant.
B
Between 6 minutes and 9 minutes, Sameen's distance from work is decreasing.
С
Between 9 minutes and 27 minutes, Sameen's distance from work is 0 miles.
D
Between 27 minutes and 30 minutes, Sameen's distance from work is increasing.

The recurrence relation N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1) represents the number of ways to spend all the money when we have a certain amount of dollars and four options for spending it: milk, juice, coffee, and cookies.

Let's denote the number of ways of spending all the money as N(n), where n represents the amount of money we have. Our goal is to find the recurrence relation for N(n).

To start, let's consider the base cases. When n = 0, it means we have no money left. In this case, there is only one way to spend the money, and that is by not buying anything. Therefore, N(0) = 1.

Now, let's consider the cases when n > 0. We have four options for spending the money: milk, juice, coffee, and cookies. Let's analyze each option separately.

If we decide to buy milk, it costs $2. After buying milk, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying milk is equal to N(n - 2).

If we decide to buy juice, it also costs $2. After buying juice, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying juice is equal to N(n - 2).

If we decide to buy coffee, it costs $3. After buying coffee, we are left with n - 3 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 3). Therefore, the number of ways of spending all the money when buying coffee is equal to N(n - 3).

If we decide to buy cookies, it costs $1. After buying cookies, we are left with n - 1 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 1). Therefore, the number of ways of spending all the money when buying cookies is equal to N(n - 1).

Now, let's consider the total number of ways to spend all the money when considering all the options. Since each option is independent, we can add up the number of ways for each option. Therefore, the recurrence relation for N(n) can be expressed as:

N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1)

This recurrence relation allows us to compute the number of ways of spending all the money for any given amount of money. By using dynamic programming techniques, we can start with the base case N(0) = 1 and compute the values of N(n) iteratively until we reach the desired amount of money.

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Answer:

The terms are t, 8, and 3t

The like terms are t and 3t

Step-by-step explanation:

N/A

Traditionally, some cultures require food to be prepared using specific techniques that have been passed down from generation to generation. For example, in Japanese cuisine, the preparation of sushi requires a specific technique that takes years of training to master.

Similarly, in Indian cuisine, the use of spices and herbs is an integral part of the cooking process, and the proper combination of these ingredients is critical to the taste of the dish.

In today's society, advertising is a form of influence on food habits. Companies spend millions of dollars each year on advertising their products, and these ads can have a significant impact on what people choose to eat. For example, fast food companies often use advertising to promote their products as convenient and affordable options for busy people.

This can lead to people choosing these types of foods over healthier options, which can have negative health consequences in the long run. It's important to be aware of the influence of advertising on our food choices and to make informed decisions about what we eat.

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Answer:55/7= 8

Step-by-step explanation:

It’s division

Answer:

7 with a remainder of 4

Step-by-step explanation:

Open the picture and look how i did.

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s183960

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The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.

According to the statement

we have given that the Find parametric equations and a parameter interval for the motion of a particle that starts at (3,0) and traces the circle  \(x^{2} +y^{2} =3^{2}\)once counterclockwise.

And we have to find the parametric equation for this given statement.

So,

A parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

Then

A particle that starts at (3,0) and traces the circle \(x^{2} +y^{2} =3^{2}\) once counterclockwise.

The parametric equations for a circle \(x^{2} +y^{2} =3^{2}\) and stats at (3,0) are

x = 3 cost

y = 3 sint

It requires going around a circle once.

Therefore required parametric equations are x = 3 cost and y = 3 sint and \(0\leq t\leq 2\pi\).

So, The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.

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Question:

Find parametric equations and a parameter interval for the motion of a particle that starts at (a,0) and traces the circle \(x^{2} +y^{2} =3^{2}\) once counterclockwise.

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The 16% of 12500 is needed to pay for automobile.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

The automobile payment = 2000

Find what percent of 12500 is 2000:

(2000/12500) * 100

= 16 %

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Outliers or extreme skewness in the distribution of pumpkin weights would be clear signs that they are not normally distributed.

There are several signs that can indicate the pumpkin weights are not normally distributed based on the farmer's sample of 20 pumpkins with a mean weight of 26 lb.

Skewed Distribution: If the distribution of pumpkin weights is noticeably skewed, it suggests a departure from normality. Positive skewness occurs when the tail of the distribution is stretched towards higher values, indicating a higher number of lighter pumpkins.

Negative skewness is the opposite, with a tail stretched towards lower values, suggesting a higher number of heavier pumpkins.

Outliers: The presence of extreme values that deviate significantly from the majority of the data can be a clear sign of non-normality. If there are a few pumpkins with exceptionally high or low weights compared to the rest, it indicates the presence of outliers and a potential departure from a normal distribution.

Bimodal or Multimodal Distribution: If the pumpkin weights exhibit multiple peaks or modes instead of a single bell-shaped curve, it suggests a non-normal distribution. This could indicate the presence of distinct subpopulations of pumpkins with different weight ranges.

Non-linear Patterns: If there is a distinct non-linear pattern or trend in the data, it deviates from a normal distribution. For example, if there is a systematic increase or decrease in weights as the pumpkin size increases, it suggests a departure from normality.

Departure from the 68-95-99.7 Rule: In a normal distribution, approximately 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. If the sample data significantly deviates from these percentages, it indicates a departure from normality.

It is important to note that these signs alone do not definitively prove that the pumpkin weights are not normally distributed. Further statistical tests such as the Shapiro-Wilk test, Anderson-Darling test, or visual inspections of a histogram, Q-Q plot, or kernel density plot can provide more evidence to assess the distributional assumption.

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The polar equation failed the test for symmetry, which means that the graph is not symmetric with respect to the polar axis.

Given that,

r = 3 + 2sin(θ)

We need to check for symmetry of the polar equation.

Symmetry in the polar coordinate system refers to the nature of the polar equation, which remains unchanged upon reflection through the polar axis or pole or rotation through the origin by an angle of π (180°).

Test for Symmetry:

For Symmetry with respect to the Polar axis:

Replace (θ) with (-θ) and check if the equation is the same.

r = 3 + 2sin(-θ)

r = 3 - 2sinθ

From the above, we see that this is not equal to the given polar equation.

Hence, the given polar equation is not symmetric with respect to the polar axis.

Graph the polar equation:

r = 3 + 2sin(θ)

We know that when r = 0, the curve gets traced.

Hence,3 + 2sin(θ) = 0sin(θ)

                             = -3/2θ

                             = sin^-1(-3/2)

The given polar equation represents the circle with a radius of 1 unit, not symmetric about the polar axis.

The polar equation failed the test for symmetry, which means that the graph is not symmetric with respect to the polar axis.

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Here's ur perfect answer

Answer:

x = 3

Step-by-step explanation:

The 2 lines intersect at (3, - 2 ) with x = 3

Answer:

2., an irrational number

Step-by-step explanation:

Answer:

\(150( {1.01}^{12} ) - 150 = 19.02\)

The account will earn $19.02 interest in 12 months.

Answer:

Step-by-step explanation:

To determine the future value of the savings account after 12 months, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the account

P = the principal or initial value of the account (in this case, $150)

r = the annual interest rate (1% per month or 0.01)

n = the number of times the interest is compounded per year (12)

t = the time period in years (1)

Plugging in these values, we get:

A = 150(1 + 0.01/12)^(12*1)

A = 150(1.0075)^12

A = $162.89

Therefore, the savings account will be worth approximately $162.89 after 12 months with 1% monthly interest. It is important to note that this is only an estimate, as the actual amount could vary depending on any additional deposits or withdrawals made during the year, and the interest rate could also change.

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Answer:

There are different axioms(theorems) to prove two tringles congruent.

Step-by-step explanation:

The axioms are:

SSS(side side side)

SAS(side angle side)

ASA(angle side angle)

AAS(angle angle side)

RHS(right angle hypotenuse side)

a. ln(7x) can be expanded as ln(7) + ln(x). b. ln(x + 3) remains as it is, since it cannot be simplified further. c. ln(x^8) can be expanded as 8ln(x). d. 15,000ln(xy^4) can be expanded as ln(x) + 4ln(y) + ln(15,000).

a. To expand the logarithmic expression ln(7x), we can use the property of the natural logarithm that states ln(ab) = ln(a) + ln(b).

Therefore, ln(7x) can be expanded as ln(7) + ln(x).

b. Similarly, the logarithmic expression ln(x + 3) can be expanded using the property ln(ab) = ln(a) + ln(b).

Hence, ln(x + 3) remains as it is since we cannot simplify it further.

c. Expanding the logarithmic expression ln(x^8) can be done using the property ln(a^b) = b * ln(a).

Thus, ln(x^8) becomes 8 * ln(x).

d. Expanding the logarithmic expression 15,000ln(xy^4) can be done by applying the property ln(ab) = ln(a) + ln(b).

Therefore, 15,000ln(xy^4) can be expanded as 15,000[ln(x) + ln(y^4)].

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Answer:

2880 if u multiply

Step-by-step explanation:

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i need 3 more

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The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x).

To solve this initial value problem, we need to find the general solution to the differential equation and then use the initial conditions to find the particular solution.

The characteristic equation is r^2 + 3r - 2 = 0, which has two distinct real roots of r1 = -2 and r2 = -1.

The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x)

Now we can use the initial conditions y(0) = 0 and y'(0) = 0 to find the values of C1 and C2.

y(0) = 0 = (5/2) * 0^3 - (4/3) * 0^2 + (1/2) * 0 + C1e^(0) + C2e^(0)

y'(0) = 0 = 5x^2 - (8/3)x + (1/2) + C1e^(-x) - C2e^(-2x)

Solving these equations, we find that C1 = 0 and C2 = 0, so the particular solution to the initial value problem is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x.

This method is the standard way to solve Initial value problems for linear homogeneous differential equations with constant coefficients. It relies on finding the characteristic equation, and the general solution of the differential equation. Then we use the initial conditions to find the particular solution.

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1. The fraction of full-time employees who work in the bank is 16/31.

2. The fraction of pieces that David need to fix to complete the puzzle is 9/27

3. The fraction of girls that wore red outfits is 1/2.

4. The fraction of books on the shelf that are in Spanish is 2/7.

1. Alocal community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. The fraction of full-time employees will be:

= (31 - 15) / 31

= 16/31

2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle. The fraction of pieces that David need to fix will be:

= (28 - 19)/28

= 9/28

3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. The fraction of girls that wore red outfits will be:

= 10/20

= 1/2

4. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. The fraction of books on the shelf that are in Spanish will be:

= Spanish books / Total books

= 6 / (15 + 6)

= 6/21

= 2/7

The above illustrate the fraction.

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There is a requirement of 176 packets of economy blend and 96 packets of a superior blend to make maximum profit for the week.

Using the given data, calculate the x number of packages of the economy blend as well as the y number of packages of the superior mix.

3x + 11y =1584

6x + 4y = 1440

From the graph of these two equations, three extreme points are deduced: (240,0), (0,144), and (176,96).

The maximum (2x +4y) is the goal function.

Determine the aim function's value at all these extreme points,

The objective function value for (240,0) is 2 × 240 = 480

The objective function value for (0,144) is 4 × 144 = 576

The value of the objective function for (176,96) is 2 × 176 + 4 × 96 = 736

∴ The optimal point is (176,96) where x = 176 and y = 96.

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Answer:

Travis

Step-by-step explanation:

Travis has previously shown himself to be faster than Wayne, thus he is most likely to still be faster.

When doing transformations and shipments to absolute value functions is:

When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift

When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.

The vertex for the general form of an absolute value function is (h,k)

The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".

Answer:

The expression that is not correct is:

The vertex for the function is (k,h)

Answer:

answer is in an image here

imageshare.best/image.php?id=JS9NDO

Explanation:

copy n paste in browser

not a bot btw

(a) The probability of either A or B occurring is 0.81.

(b) The probability that neither A nor B will happen is 0.19.

In the given question,

P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42

(a) We have to find the probability of either A or B occurring.

P(A)=0.39

P(B)=0.42.

Since, events A and B are mutually exclusive

P(A and B) = 0

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

P(A or B) = 0.39 + 0.42 - 0

P(A or B) = 0.81

Probability of either A or B occurring is = 0.81

(b) Now we have to find the probability that neither A nor B will happen.

P(A or B) = 0.81

Probability that neither A nor B will happen = 1 - P(A or B)

Probability that neither A nor B will happen = 1 - 0.81

Probability that neither A nor B will happen = 0.19

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The right question is:

The events A and B are mutually exclusive. Suppose P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42.

(a) What is the probability of either A or B occurring? (Round your answer to 2 decimal places.)

(b) What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.)

18 mm is the height of the cone.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

We can use the formula for the volume of a cone to solve for the height:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we have:

1884 = (1/3)π(10²)h

Simplifying, we get:

h = 1884 / [(1/3)π(10²)]

h ≈ 18

Therefore, the height of the cone is approximately 18 mm.

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Complete question:

the volume of this cone is 1,884 cubic millimeters. What is the height of this cone when the radius is 10 mm? Use 3.14 and round your answer to the nearest hundredth

Answer:

90 hours.

Step-by-step explanation:

As we know there are 30 days in a month 3 hours a day there fore we say 30 x 3 = 90 :D

Answer:16

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

When dealing with those types of problems, that's just another way of saying it's multiplication.

(64)2=64×2

which in this case, if you multiply to those numbers

64×2

youll get 128

64×2=128

Madison will need approximately 63 fabric squares to put around her circular mirror.

To find the number of fabric squares Madison will need to put around her circular mirror, we need to first find the circumference of the circle.

The formula for the circumference of a circle is:

C = 2πr

Let's say the radius of the mirror is 10 cm (this is just an example). Then the circumference of the circle is:

C = 2πr = 2 x 3.14 x 10 cm = 62.8 cm

To cover the entire circumference with fabric squares that are 1 cm long, we need to divide the circumference by the length of each fabric square:

Number of fabric squares = C / 1 cm = 62.8 / 1 = 62.8

Therefore, Madison will need approximately 63 fabric squares to put around her circular mirror.

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The geometric multiplicity is equal to the algebraic multiplicity, then t is diagonalizable.

The word "nilpotent" is missing from the title, rather confusing, since being nilpotent is easily seen to be the only possible obstruction against being diagonalisable for a rank 1 operator. After all, by rank-nullity this implies the nullity equals n−1, and this is (by definition) the dimension of the eigenspace for 0. Also Im(T) is always T-stable, so being of dimension 1 its nonzero vectors are eigenvectors, and if this is for a nonzero eigenvalue λ, then the eigenspaces for 0 and for λ are complementary, and so T is diagonalisable.

So the only thing that can go wrong is that the nonzero vectors of Im(T) are eigenvectors for 0, but then clearly T2=0 so T is nilpotent.

It would have been a bit more fun if instead of T not being nilpotent it had been given that T has nonzero trace. Since 0 is a root of the characteristic polynomial χT with multiplicity at least n−1 (which is its geometric multiplicity), the "final" root of χT equals the sum of all its roots, which is the trace of T. This is also the eigenvalue of nonzero vectors in Im(T), and as we have seen it is zero if and only if T is nilpotent if and only if T is not diagonalisable.

Hence the answer is the geometric multiplicity is equal to the algebraic multiplicity, then t is diagonalizable.

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Answer:

15

Step-by-step explanation:

The entropy of the event for A. H = -((1/18) * log(1/18) + (17/18) * log(17/18)) and B. H = -((7/36) * log(7/36) + (29/36) * log(29/36)). By subtracting the entropy of event (b) from the entropy of event (a), we can determine the specific value of the information gained in this case.

To calculate the entropy of an event, we need to determine the probability distribution of the outcomes and apply the entropy formula.

(a) To find the entropy of getting a total greater than 10 in one throw, we analyze the possible outcomes. The only way to achieve a total greater than 10 is by rolling a 5 and a 6 or a 6 and a 5.

There are only two favourable outcomes out of 36 possible outcomes (6 choices for the first die multiplied by 6 choices for the second die). The probability of obtaining a total greater than 10 is 2/36 or 1/18.

Using the entropy formula, H = -Σ(p_i * log(p_i)), where p_i represents the probability of each outcome, the entropy of this event is:

H = -((1/18) * log(1/18) + (17/18) * log(17/18)).

(b) To find the entropy of getting a total equal to 6 in one throw, we analyze the possible outcomes. The combinations that result in a total of 6 are (1, 5), (5, 1), (2, 4), (4, 2), (3, 3), (6, 0), and (0, 6), making a total of 7 favourable outcomes out of 36 possible outcomes. The probability of obtaining a total of 6 is 7/36.

Similarly, using the entropy formula, the entropy of this event is:

H = -((7/36) * log(7/36) + (29/36) * log(29/36)).

The information gained going from state (a) to state (b) is calculated as the difference between the entropies of the two events:

Information Gain = H(a) - H(b).

Therefore, by subtracting the entropy of event (b) from the entropy of event (a), we can determine the specific value of the information gain in this case.

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