Please help me!
[One Step Inequalities]

Answer:

9x - 5  

Step-by-step explanation:

Simplify:

Correct choice: B. 9x -5

Answer:

9x - 5

Step-by-step explanation:

The sequence defined by a = 1 and d(n) = (n - 1)^2, for n ≥ 2, generates the first four members: 0, 1, 4, 9. The formula for d(n) can be conjectured as d(n) = (n - 1)^2. This conjecture can be proven by induction.

The sequence defined by a = 1 and d(n) = (n - 1)^2, for n ≥ 2, can be computed as follows:

For n = 1, a = 1 (given).

For n = 2, d(2) = (2 - 1)^2 = 1^2 = 1.

For n = 3, d(3) = (3 - 1)^2 = 2^2 = 4.

For n = 4, d(4) = (4 - 1)^2 = 3^2 = 9.

Based on these computations, we observe that the first four members of the sequence are 0, 1, 4, and 9. From this pattern, we can conjecture that the formula for d(n) is (n - 1)^2.

To prove this conjecture, we can use mathematical induction. The base case is n = 2, where d(2) = 1, and the formula (n - 1)^2 also yields 1. This confirms that the formula holds for the initial term.

Next, we assume that the formula holds for some arbitrary positive integer k, i.e., d(k) = (k - 1)^2.

Now we need to prove that it holds for k + 1.

Using the formula, we have d(k + 1) = ((k + 1) - 1)^2 = k^2.

On the other hand, we can directly compute d(k + 1) as (k + 1 - 1)^2 = k^2. Therefore, the formula holds for k + 1 as well.

By the principle of mathematical induction, we have proven that the formula d(n) = (n - 1)^2 holds for all positive integers n ≥ 2.

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Answer:

2nd option

Step-by-step explanation:

Using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\)

Given

f(x) = \(\frac{3}{2\sqrt[3]{x} }\) = \(\frac{3}{2x^{\frac{1}{3} } }\) = \(\frac{3}{2}\) \(x^{-\frac{1}{3} }\) , then

f'(x) = - \(\frac{1}{3}\) × \(\frac{3}{2}\) \(x^{-\frac{4}{3} }\)

      = - \(\frac{1}{2}\) × \(\frac{1}{x^{\frac{4}{3} } }\)

      = - \(\frac{1}{2x^{\frac{4}{3} } }\) = - \(\frac{1}{2\sqrt[3]{x^4} }\) [ Note there should be a leading negative ]

The statement "The determinant of a square matrix may be computed by cofactor expansion along any row or column" is True.

The determinant of a square matrix can be computed by cofactor expansion along any row or column. This is known as Laplace expansion or cofactor expansion.

To calculate the determinant of a given matrix , we can choose any particular row or column and multiply each element of that row or column by its corresponding cofactor. The cofactor of each element is calculated by taking the determinant of the submatrix obtained by deleting the row and column containing that element, and multiplying it by (-1) raised to the power of the sum of the row and column indices. The sum of these products gives the determinant of the original matrix.

While expanding along different rows or columns will give different expressions for the determinant, they will all yield the same numerical value. This property of determinants is called the multiplicative property. Therefore, the determinant of a matrix is invariant under elementary row operations.

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Answer:

A set is continuos if the values of the set can be any value in the given ranges

A set is discrete if the values of the set are finite and separate.

Than:

a) The weight of a puppy.

The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.

b) The number of puppies in a litter.

Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.

c) A person's temperature.

Temperature can be any value in a given range, so this is a continuous set.

d) The dress sizes of women.

Normally, there is a given set of dress sizes like s, l, xl, etc.

So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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Answer:

2 bills (20 and 20)

Step-by-step explanation:

There is no $40 bill, so 2 is the least number you can use to make 40$, which would be 20 and 20

Answer:

2

Step-by-step explanation:

2, $20 bills?

The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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The linear equation that passes through these two points is:

y =  (3/2)*x - 3

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

Here we have the points (-3, -15/2) and (1, -3/2), then the slope will be:

a = ( -3/2 +15/2)/(1 + 3) = 6/4 = 3/2

y = (3/2)*x + b

To find the value of b we can use one of the points, like (1, -3/2), replacing the values there we will get:

-3/2 = (3/2)*1 + b

-3/2 - 3/2 = b

-6/2 = b

-3 = b

The linear equation is:

y =  (3/2)*x - 3

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The value of x in given right angled triangle is 8.6cm.

With the fantastic tool, the proper triangle side and angle calculator, locating the missing side or angle couldn't be simpler. The calculator will quickly identify the remaining unknowns when you enter two specified values and it will do so! Keep scrolling to uncover the formulas underlying our calculator if you're wondering how to determine the missing side of a right triangle.

Here, the measure of hypotenuse is 15cm

angle is 35°

So, sin 35° = perpendicular/ hypotenuse

sin 35 = x/15

0.5736 = x/15

x = 0.5736 * 15

x = 8.604cm

nearest tenth

x = 8.6cm

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Answer:

Mean: 78.5

Median: 78

Mode: 77

Step-by-step explanation:

Refer to the picture below for explanation.

Hope this helps! Let me know if you have any questions. Have a great day!

Answer:

R to S

Step-by-step explanation:

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.

Step-by-step explanation:

The number indicated on the number line is -0.896

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

Each spacing = 0.0005

Exact middle between -0.895 and -0.896 is -0.8955

But, there is a slight more distance

So, it is -0.8956

Rounded to 3 decimal places -0.896 ( Because 6 at last is > 5, add 1 to 5)

The number indicated on the number line is -0.896

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By solving the given equation, d = -4

           To find d in the equation -14d + 12d + 11d + 18 = -18, we need to combine similar terms on the left side of the equation and isolate the variable.

Combining similar terms, we get:

(-14 + 12 + 11)d + 18 = -18

9d + 18 = -18

           We can then extract the variable by shifting the constant term to the other side of the equation:

9d = -18 - 18

9d = -36

Finally, we can find d by dividing both sides of the equation by 9:

d = -36/9

d = -4

Therefore, the solution of the equation is d = -4. When d equals -4, the equation is balanced and both sides of the equation are equal.

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Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

\(m = \frac{Rise}{Run}\)

Where

\(Rise = Vertical\ Distance\)

\(Run = Horizontal\ Distance\)

From the attachment, we have the following:

Triangle A

\(Rise = 6\ units\)

\(Run = 4\ units\)

So:

\(m = \frac{Rise}{Run}\)

\(m = \frac{6}{4}\)

In this case, Mai is correct:

Triangle B

\(Rise = 1.5\ units\)

\(Run = 1\ units\)

So:

\(m = \frac{Rise}{Run}\)

\(m = \frac{1.5}{1}\)

\(m = 1.5\)

In this case, Elena is also correct:

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

I did this on desmos I hope it helps

Answer:

70

Step-by-step explanation:

In a trapezoid lines are parallel, so corresponding angle sum = 180

X+X+40 = 180

2x + 40 = 180

2x = 180-40

2x = 140

X = 140/2

X = 70

Answered by Gauthmath

Mr Patterson could run 8 laps in 76 minutes, to determine how many minutes it takes him to finish one lap you can use cross multiplication:

8 laps ___ 76 minutes

1 lap ____ x minutes

Both relationships are at the same rate so that

From this expression, we can determine the time it takes him to run one lap

It takes Mr. Patterson 9.5minutes to run one lap.

Answer:937.5

Step-by-step explanation:if your dividing this is the answer

Answer:

for the 1 one is: ___________Find the x and y Intercepts___________

for the 2 one it is a: ________Graph_________

Step-by-step explanation:

BRAINLYLIST will highly appreciated

HAVE A GOD LIKE DAY

ANSWER:

STEP-BY-STEP EXPLANATION:

We can propose two equations, one regarding the total value of money and the other regarding the total number of bills.

Therefore, it would be:

a compound inequality is a combination of two inequality functions that represent the same value.

eg;

\(x \geqslant - 1\)

and

\(6 \leqslant x\)

combining them gives

\( - 1 \leqslant x \geqslant 6\)

above is a compound inequality.

hope it helps

someone who orders a product through a catalog is responding to Direct marketing.

The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.

Any form of marketing that communicates or distributes to consumers directly, as opposed to through a third party, is considered direct marketing.

Businesses employ the catalog marketing strategy to combine a variety of products in a single printed piece or online store in the hopes that the recipient would purchase at least one item. Using the information in the catalog, customers make direct purchases from the catalog sender through phone, return mail, or online.

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The inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

Inverse function is represented by  with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Generally, the method of calculating an inverse is swapping of coordinates x and y. This newly created inverse is a relation but not necessarily a function. The original function has to be a one-to-one function to assure that its inverse will also be a function.

Therefore, the inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

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Answer:

x=-5/4 or x=9/4

Step-by-step explanation:

2 - 4x = -7

-4x = -7 - 2

-4x = -9

x = 9/4

or

2 - 4x = 7

-4x = 7-2

-4x = 5

x = -5/4

Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.

\(\frac{3}{4}\) kg of laundry is equal to 1 load.

\(\frac{3}{4}\) kg of laundry =  1 load

1 kg of laundry  =  \(\frac{1 * 4}{3}\) load ( following the method of division )

1 kg of laundry = \(\frac{4}{3}\) load

Randy has 6kg of laundry.

So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.

6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

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