The diagram shows a square. Find the length of the side of the square.

Answer:

e = -3

Step-by-step explanation:

9e - 5 = 7e - 11

2e - 5 = - 11

      +5      +5

2e  = -6

2         2

e = -3

Answer:

width = 10 units

Step-by-step explanation:

Given : l = 2w

P = 2l + 2w

P = 2(2w) + 2w

60 = 6w

w = 10 units

\(\\ \rm\rightarrowtail 2(2x+x)=60\)

\(\\ \rm\rightarrowtail 2(3x)=60\)

\(\\ \rm\rightarrowtail 3x=30\)

\(\\ \rm\rightarrowtail x=10\)

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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The correlation coefficient goes from -1 to 1 and measures the degree and direction of a linear link between two variables. A correlation value of 1 or -1 shows a perfect positive or negative correlation, where all data points lie on a straight line. Zero means that there is no linear association between the variables. So, it is accurate.

The correlation coefficient quantifies the magnitude and direction of a linear link between two variables. When there is a perfect positive correlation between two variables, it means that as one variable increases, the other variable similarly increases in a linear fashion.

This causes every data point to lie precisely on a straight line with a positive slope. When two variables have a perfect negative correlation, it indicates that when one variable increases, the other variable drops in a straight-line connection, resulting in all the data points resting exactly on a straight line with a negative slope.

The correlation coefficient spans from -1 to 1 to represent the linear relationship between variables, where 1 or -1 represent a perfect correlation and 0 shows no linear correlation.

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By the principle of mathematical induction, we have proved that for all \(\(n \in \mathbb{N}\), \(\sum_{k=1}^{n} k^{3} = \left(\sum_{k=1}^{n} k\right)^{2}\).\)

To prove the first statement, we can use mathematical induction.

Base case: We start by checking the statement for the base case,

n = 1. The left-hand side of the equation is \(\(1^3 = 1\)\), and the right-hand side is \(((1)^2 = 1\)\).

Hence, the statement holds true for n = 1.

Inductive step: Now, assume the statement is true for some arbitrary positive integer m, i.e., assume \(\(\sum_{k=1}^{m} k^{3} = \left(\sum_{k=1}^{m} k\right)^{2}\).\)

We need to show that the statement is also true for m + 1, i.e., we need to prove that\(\(\sum_{k=1}^{m+1} k^{3} = \left(\sum_{k=1}^{m+1} k\right)^{2}\).\)

Using the induction hypothesis, we have:

\(\(\sum_{k=1}^{m} k^{3} = \left(\sum_{k=1}^{m} k\right)^{2}\)\)

Adding \(\((m+1)^3\)\) to both sides of the equation, we get:

\(\(\sum_{k=1}^{m} k^{3} + (m+1)^3 = \left(\sum_{k=1}^{m} k\right)^{2} + (m+1)^3\)\)

Simplifying the right-hand side, we have:

\(\(\left(\sum_{k=1}^{m+1} k\right)^{2}\)\)

Using the formula for the sum of consecutive integers, we can rewrite the right-hand side as:

\(\(\left(\frac{(m+1)(m+2)}{2}\right)^{2}\)\)

Now, we can rewrite the left-hand side of the equation using the formula for the sum of cubes:

\(\(\sum_{k=1}^{m} k^{3} + (m+1)^3 = \frac{m^{2}(m+1)^{2}}{4} + (m+1)^3\)\)

To simplify further, we can factor out \(\((m+1)^2\)\) from both terms on the right-hand side:

\(\(\frac{m^{2}(m+1)^{2}}{4} + (m+1)^3 = \frac{(m+1)^{2}}{4} \left(m^{2} + 4(m+1)\right)\)\)

Expanding the expression \(\(m^{2} + 4(m+1)\)\), we get:

\(\(\frac{(m+1)^{2}}{4} \left(m^{2} + 4m + 4\right)\)\)

Simplifying further, we have:

\(\(\frac{(m+1)^{2}}{4} (m+2)^2\)\)

Now, comparing the simplified left-hand side and the right-hand side, we see that they are equal:

\(\(\frac{(m+1)^{2}}{4} (m+2)^2 = \left(\frac{(m+1)(m+2)}{2}\right)^{2}\)\)

Therefore, we have shown that if the statement is true for m, it is also true for m + 1.

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Answer:

A good prediction is that the number 5 will be rolled 8 times

Step-by-step explanation:

Here, we want to get the number of times 5 would occur in a roll of 50

firstly, we need the probability of having a 5 come up

To do this, we have to divide the number of 5’s by the count of possible numbers

We have this simply as 1/6

Now, we have to multiply this by 50

we have this as;

1/6 * 50 = 8.333

This is approximately 8

so we have it that in 50 rolls, we can have the number 5 coming up 8 times

Answer:33

Step-by-step explanation: Subtract 91 by 58

After that it gives you 33 so the beans weigh 33 more g's than the rice

Answer:

The beans weigh 33 grams more than the rice.

Step-by-step explanation:

To solve this, find the difference between the two numbers by subtracting the smaller number from the larger one.

91-58=33

Oliver has to pay an amount of B: $90 with simple interest.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business.

The bank offered him an interest rate of 12% for 6 months.

P = $1500, r= 12% and t = 6 months or 1/2 or 0.5 years.

∴ SI = (1500×12×0.5)/100.

SI = 15×6.

SI = $90.

The amount of simple interest Oliver has to pay is $90.

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The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

Answer:

A, D, and E

Hope this helps<3

The right answers are

1. C, 1

2. B, an+1 = an x 3, a1 =5

3. C, an = -6 x 0.5^n-1

4. D, an + 2/3 x (1/2)^n-1

5. D, an+1 = an x (-2), a1 = 5

I just took the test and got 100% so these should be correct

(a) The maturity value of the loan is $15,246.33.

(b) The amount of interest paid on the loan is $7,246.33.

To calculate the maturity value of the loan, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt)\), where A is the maturity value, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount (P) is $8000, the interest rate (r) is 9%, the loan duration is 9 years, and interest is compounded quarterly, so n = 4. Plugging these values into the formula, we get A = \(8000(1 + 0.09/4)^(4*9)\) = $15,246.33.

To calculate the amount of interest paid on the loan, we subtract the principal amount from the maturity value: Interest = Maturity value - Principal amount = $15,246.33 - $8000 = $7,246.33.

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Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1,3) and (0,−9)

The slope is

\(m = \frac{ - 9 - 3}{0 - 1} = \frac{ - 12}{ - 1} = 12 \\ \)

We have the final answer as

Hope this helps you

The slope of the line would be 12.

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

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From today 36 days later, all five will be tutoring again.

As we have given that,

Andrea is able to tutor every second school day

Roberto is able to tutor every third school day.

Charlene is able to tutor every fourth school day.

Maria is able to tutor every sixth school day.

Nguyen is able to tutor every ninth school day.

So, as a result, our working days are 2, 3, 4, 6, and 9 days.

Today's tutoring session will involve all five participants.

Next time, all five tutors will work together = LCM (2, 3, 4, 6, 9) = 36

Therefore, from today 36 days later, all five will be tutoring again.

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The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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The new wage is £11.1

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

Old wage = £10

Increase = 11%

The new wage is calculated as

New wage = Old wage  * (1 + Old wage)

Substitute the known values in the above equation, so, we have the following representation

New wage = £10 * (1 + 11%)

So, we have

New wage = £11.1

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

Old price = £35

Decrease = 17%

The new price is calculated as

New price = Old price * (1 - Decrease)

Substitute the known values in the above equation, so, we have the following representation

New price = £35 * (1 -17%)

So, we have

New price = £29.05

Here, we have

Old distance = x

Improvement = 19%

The new price is calculated as

New distance = Old distance * (1 + Improvement)

Substitute the known values in the above equation, so, we have the following representation

New distance = x * (1 + 19%)

So, we have

New distance = 1.19x

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Answer:

multiply both expressions

(8x - 2)(4)

32x - 8

simplify

32x = 8 4 ( 2 2 2 2 2 2)

-8 = 8 -1

8(4x - 1)

hope this helps

Step-by-step explanation:

To find the equation for line m, that is perpendicular to line k, we will take the steps below:

First, find the slope of line k from the graph given

To find the slope, locate the coordinates of any given 2 points from the line.

we have;

(4, 0) and (0, 3)

From the points above:

x₁= 4 y₁=0 x₂=0 y₂=3

slope = y₂-y₁ /x₂- x₁

substitute the values of the coordinate into the formula above

slope = 3 - 0 / 0 -4

= 3/ -4

= - 3/4

slopes of perpendicula equations are given by;

m₁m₂= -1

let m₁ be slope of k and m₂ be slope of m

(-3/4)m₂ = -1

multiply both-side of the equation by -4/3

m₂ = 4/3

The above is the slope of line M

Next, is to find the intercept of line M

y=mx + b

Answer:

3

Step-by-step explanation:

28:21=

7(4):7(3)=

4:3

x=3

Hope this helps!

Assuming the length line is made of copper, the resistance would be 0.667.

The following formula can be used to determine the resistance of the diagonal line that passes through the corners of the 10mm by 10mm silicon integrated die: Resistance is equal to resistivity times length (cross-sectional area). The cross-sectional area of the line, which is 1 m thick and 5 m wide, may be calculated as 5 x 1 m = 5 m2. The Pythagorean Theorem, which asserts that the hypotenuse of a right triangle is equal to the square root of the sum of the squares of the other two sides, can be used to determine the length of the line. The line itself serves as the hypotenuse in this instance, while the other two sides measure 10 mm apiece. As a result, the square is equal to the length of the line.

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In Tableau, a filter allows a visualization developer or user to dynamically remove rows from the visualization.  Thus, Option A is the answer.

What is Tableau?

Tableau is an interactive and intuitive data visualization tool that enables people to see and understand data. It provides a variety of data exploration, modelling, and visualization options. Tableau is one of the best data visualization software available in the market. It provides an easy way to integrate data from various sources. With Tableau, you can easily create interactive and visually appealing charts, graphs, and other types of visualizations that are easy to understand and interpret.

What is a filter?

In Tableau, a filter is a tool that allows you to selectively display data from a larger dataset based on certain conditions. Filters help you to narrow down your data to the most relevant information so you can make better decisions based on your analysis. Filters can be applied to different dimensions and measures to help you get a better view of your data. Tableau allows you to filter your data using various types of filters such as categorical, continuous, and relative filters. You can also create custom filters using calculated fields and parameters.

A filter allows a visualization developer or user to dynamically remove rows from the visualization. Therefore, the correct option is (a) Filter.

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When Marcus tests a hair sample from the telogen stage. The result likely to be true about this sample is there will be a nuclear DNA present.

DNA (Deoxyribonucleic acid) is a polymer comprised of two polynucleotide chains that loop around each other to form a double helix having genetic instructions for the development, functioning, growth and reproduction of all known organisms and many viruses. DNA and ribonucleic acid both are nucleic acids.

Moreover, DNA is the information molecule. It holds the instructions for creating other large molecules, called proteins. These instructions are kept inside each of our cells, distributed among 46 long structures called chromosomes.

Hence, DNA is made of chemical structures called nucleotides. These structures are made of three parts: a sugar group, a phosphate group, and one of four types of nitrogen bases.

Hence the correct option is c.

--The given question is incomplete, the complete question is

''Marcus is testing a hair sample from the telogen stage. What is likely to be TRUE about this sample?

A. There will be several medullas present.

B. There will be mitochondrial DNA present.

C. There will be nuclear DNA present.

D. There will be very little DNA present."--

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Answer:

3/2 pi radians

Step-by-step explanation:

To change to radians. multiply by pi/180

270 * pi/180

3/2 pi

Step-by-step explanation:

10000, After 1 year amount = 11200 so interest after 1 year = 1200

Amount = P(1+R/100)T

11200 = 10000(1+R/100)1

R = 12%

Interest for the second year = 11200(1+12/100)1 - 11200 = 1344

after 3 years = 10000(1+12/100)3 = 14049.28

Step-by-step explanation:

(I) Principle = Rs 10000, After 1 year amount

= Rs 11200 so interest after 1 year

= Rs 1200

R = 12%

Amount = P(1+R/100)T

11200 = 10000(1+R/100)1

R = 12%——————————————————————————————————————

(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344

(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28

Answer:

176/317

Step-by-step explanation:

The formula for slope is \(\frac{y2 - y1}{x2 - x1}\), which means you have to subtract the second point's y coordinate (286) minus the first point's y coordinate (110).

Now you have \(\frac{286-110}{x2 - x1}\) or \(\frac{176}{x2 - x1}\).

Now you have to do the same for x.

446 - 129 = 317, which gives you the final answer of

\(\frac{176}{317}\), or about 0.555.

Hope this helps :)

jp524

In Δ ABC and Δ PQR, if AB = PR, BC = RQ and AC = PQ, then Δ ABC is congruent to Δ PRQ, which means option D is the right answer.

The congruency theorem is used to determine the relation between two similar looking figures in two dimensional space. The word congruent itself means being in harmony. There are different rules which are used to determine the congruency between the triangles.

These rules are given as follows:

In the given question, it is given that sides AB = PR, BC = RQ and AC = PQ, this implies that the congruency can be setup using SSS rule, which if followed will suggest that Δ ABC will be congruent to Δ PRQ.

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Answer:

Step-by-step explanation:

You must solve the slope-intercept form with the graph of the linear function g passing through the points.

Use the slope-intercept form.

\(\underline{\text{SLOPE-INTERCEPT FORM:}}\)

\(\Longrightarrow: \sf{y=mx+b}\)

Use the slope formula.

\(\underline{\text{SLOPE:}}\)

\(\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }\)

(-7,-4) and (7,6)

\(\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}\)

Solve.

\(\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}\)

I hope this helps. Let me know if you have any questions.

Answer:

there is a chance of 33.33% that she picks a song of 2min and 13sec

Answer:B.

Step-by-step explanation:

The actually answer is B. Equal to the likelihood of choosing a song that lasts 3 minutes 15 seconds