Your friend Jenny wants to use a robo-adviser to manage her portfolio. What does this mean?

Michelle worked for at least 11 hours.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. On the number line, size comparisons between two numbers are typically conducted.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are universal.

given,

tips per day = $15

hourly rate=$9

total earnings =#110

h is the number of hours work

The equation is 9h+15\(\geq\)110

To find the hours worked:

9h+15\(\geq\)110

9h\(\geq\)110 - 15

9h\(\geq\)95

h\(\geq\)10.55

Therefore h must at least be 11

since  Michelle worked for at least 11 hours.

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Answer:

x>4/3 and x<1

Step-by-step explanation:

8x-4 < -12

8x<-12+4

x<8/8

x<1

8x+7> 23

8x>23-7

x>12/8

simplify : x>4/3

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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Answer:

5

Step-by-step explanation:

Answer:

26 inches

Step-by-step explanation:

The snail starts 20 inches above the ground: +20

The snail slips (goes down) 6 inches: 20 - 6 = 14

The snail goes up 12 inches: 14 + 12 = 28

The snail is 28 inches above the ground.

Hope this helps!

Step-by-step explanation:

the angle TSW is the total angle and is 73°.

from that total angle, we have one part : angle 1 = 36°.

as angle TSW = angle 1 + angle 2

we have

73 = 36 + angle 2

angle 2 = 73 - 36 = 37°

Answer: a.2 41/50

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

58.1 - 5.6= 52.5

3172.97 joules is the value of x when the Richter scale rating is 3.2

The equation that relates earthquake magnitude (M) and energy (E) is:

M = 2/3 × log(E) - 1.8

We have to find the value of X when the richer scale rating is 3.1

If an earthquake with a rating of 3.2 is not usually felt, then we can assume that x corresponds to the energy released by an earthquake that is just barely felt.

According to the United States Geological Survey, an earthquake with a magnitude of 2.5 corresponds to an energy release of about 1.3 × 10⁸ joules.

Using this as a reference point, we can set up the following equation:

3.2 = 2/3 × log(x) - 1.8

Solving for x, we get:

2.3 = 2/3 × log(x)

log(x) = 3.45

x = 3172.97

Therefore, the value of x when the Richter scale rating is 3.2 is approximately 3172.97 joules.

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a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

the answer F or D

Step-by-step explanation:

The vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

Given, the constraints of a problem

2x+3y≥12

5x+2y≥15

x ≥ 0

y ≥ 0​

On solving the equations, we get

( 2x + 3y ≥ 12 ) × 2

( 5x + 2y ≥ 15 ) × 3

4x + 6y ≥ 24

15x + 6y ≥ 45

On subtracting, we get

11x ≥ 21

x ≥ 21/11

x = 21/11

On putting the value of x, we get

42/11 + 3y = 12

y = 19/11

Hence, the vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

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Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

y=3x-3

Step-by-step explanation:

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

Answer:

2.9167

Step-by-step explanation:

i just calculated it i guess

Answer:

10

Step-by-step explanation:

Whenever we see "of" we know its multiplication

125% x a normal day

125% x 8

\(\frac{125}{100}\) x 8

10

:)

Answer:

B

Step-by-step explanation:

you are just combining like terms since you are adding the equations together

(-3x-5) + (4x-2)

-3x + 4x = x

-5 + -2 = -7

so altogether

x -7

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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Answer:

The gallon of concentrate was 66% water and 34% syrup.

Step-by-step explanation:

- The first thing is to know how much water and how much syrup have the 5 gallons.

90% water and 10% syrup.

- If we have 5 gallons with the same percentages then:

Where X is the percentage that we do not know.

(90 + 90 + 90+ 90 + 90 + X) / 6 = 86

(90 + 90 + 90+ 90 + 90 + X) = 516

X = 66

The answer is 66% water in the gallon added.

Option  3 uses a graph to represent the dimensions of the modified rectangle.

A rectangle is a four-sided shape with equal opposing sides and right angles at 90 degrees.

Simply multiplying the length by the width yields the area of the rectangle.

Taking into account the issue at hand, a Rectangle with a width of x units.

The square footage of the rectangle is 10.

The formula f(x) = 10/x

describes the length of the rectangle.

If the breadth increases to (x+1) units, then

∴ A new length notation of 10/(x+1) has been introduced.

The precise graph of f(x) = 10/(x +1) must now be determined from the supplied choices.

When x = 4, y = 2

This means that only the third-best option's graph satisfies the condition

(4, The right graph is in choice 3.

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Answer:My favorite new tip or trick I learned about remembering the quadratic formula is to use the acronym "FOIL". This stands for "First, Outer, Inner, Last" and it is a helpful way to remember the order of the terms in the equation. The first term is the coefficient of the squared term, the outer terms are the coefficients of the terms with the variable, the inner terms are the products of the coefficients of the squared and variable terms, and the last term is the constant. I think this tip or trick might work in helping other students remember the formula because it provides a simple acronym to remember the order of the terms in the equation.

My own tip or trick for solving quadratic equations is to draw a graph of the equation. This helps me visualize the equation and understand the solution better. Additionally, I like to use the quadratic formula to check my answer. This helps me make sure I have the correct solution.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The colour keeps switching from red to blue to red, and red was last in the series. Therefore, a blue pattern should be next in the series.

Each time, a new hand is added to the pattern. Therefore, we add a hand.

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

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Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

Applying the definition of similar polygons, the value of x is:

6. x = 6

7. x = 7

8. x = 12.3

9. x = 8

If any two polygons are similar to each other, therefore, their corresponding side lengths will be proportional.

Using this knowledge, we can find x in the following pairs of similar polygons as shown below:

6. 5x - 2 / 42 = 4x + 2 / 39

42(4x + 2) = 39(5x - 2)

168x + 84 = 195x - 78

168x - 195x = -84 - 78

-27x = -162

x = 6

7. 4x + 4 / 48 = 7x - 9 / 60

60(4x + 4) = 48(7x - 9)

240x + 240 = 336x - 432

240x - 336x = -240 - 432

-96x = -672

x = 7

8. 2x + 2 / 3x - 7 = 40/45

2x + 2 / 3x - 7 = 8/9

8(3x - 7) = 9(2x + 2)

24x - 56 = 18x + 18

24x - 18x = 56 + 18

6x = 74

x = 12.3

9. 6x + 3 / 17 = 8x - 1 / 21

Cross multiply:

21(6x + 3) = 17(8x - 1)

126x + 63 = 136x - 17

126x - 136x = -63 - 17

-10x = -80

x = 8

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