Artaud noticed that if he takes the opposite of his age and adds 44 he gets the number 31. How old is Artaud?​

Answer:

1. place the circle on -1

2. open circle

3. Left

Step-by-step explanation:

There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer:

 cotθ = √35 = 5.91

Step-by-step explanation:

Explanation:-

Given sin(θ) = -1/6

         \(cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6\)

We will use trigonometric formula

   co sec ²θ -cot²θ  =1

    cot ² θ =  co sec ²θ - 1  

    cot ² θ =   (-6)² -1 = 36 -1 =35

   cotθ = √35 = 5.91

   Given' θ' is  Quadrant III.

In third quadrant cotθ and tanθ are positive

   cotθ = √35 = 5.91

Answer:

29.9 inches squared

Step-by-step explanation:

I just took this and got the answer right!!

Answer:

Step-by-step explanation:

Brainlist Pls!

Answer:

4/5

Step-by-step explanation:

y = mx + b

4/5 = m = slope

Answer:

The slope is 4/5.

Step-by-step explanation:

It's a linear equation. Which means that you can graph a "line" out of it.

The format is y=mx+b

mx=slope

b= y-intercept.

The slope is 4/5.

The length of the inner rectangle is 2 foot

Consider the length of the inner rectangle = x

The area of the inner rectangle = x × 1

= x unit square

The dimensions of the middle rectangle = (x+2) and 3

The area of the middle rectangle = 3 × (x+2)

= 3x+ 6

The area of the shaded region = The total area of the middle rectangle - The area of the inner rectangle

= 3x+6 - x

= 2x + 6

The dimensions of the outer rectangle = (x+4) and 5

The area of the outer rectangle = 5(x+4)

= 5x + 20

The area of the shaded region of outer rectangle = 5x + 20 - (3x+6)

= 5x+ 20 - 3x -6

= 2x + 14

The areas of the three differently colored regions form an arithmetic progression

Then the they have common difference

2x+6 - x = 2x+14 - (2x + 6)

x + 6 = 8
x = 8 -6

x = 2

Hence, the length of the inner rectangle is 2 foot

The complete question is

A rug is made with three different colors as shown. The areas of the three differently colored regions form an arithmetic progression. The inner rectangle is one foot wide, and each of the two shaded regions is 1 foot wide on all four sides. What is the length in feet of the inner rectangle

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Answer:

F(x) = x-7,H(x)= 2x+3,F(H(x)) = (2x + 3) -7 = 2x - 4

Step-by-step explanation:

f(x)is a function so is the others so pair all then solve :)

A rational equation is defined as the quotient of two polynomials, with the denominator not being zero. It is a type of algebraic expression that involves variables and rational functions with rational exponents.

The error in the given rational equation is that it's not allowed to cancel out the x-2 and X+2 terms, as they are in the denominators. It is because of the fact that it may make the denominator zero, which would result in undefined expressions. Therefore, we need to find the least common multiple (LCM) of the denominators and then convert the equation into equivalent forms with the same denominator.B):

Correction of the error1-2/x-2 = x+1/X+2Given rational equation can be re-written as:((1 - 2)/(x - 2)) = ((x + 1)/(X + 2))The LCM of x - 2 and X + 2 is (x - 2) (X + 2).Multiplying the numerator and denominator of the left side by (X + 2) and the numerator and denominator of the right side by (x - 2) we get,(1 - 2)(X + 2) = (x + 1) (x - 2)Now simplify the equation:2X - 3x = -3The given rational equation becomes 2X - 3x = -3 after correction.Note: You should always double-check if the obtained solution satisfies the initial equation.

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The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.

The formula for calculating the relative rate of inflation is:

Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1

Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:

Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4

Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:

Adjusted Exchange Rate = 0.4 * $0.42 = $0.168

Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:

Exchange Rate in 2010 = $0.42 + $0.168 = $0.588

Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.

Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.

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The one mean Z test can be used for small samples of size less than 15 when the population standard deviation is known.

The one-mean z-test is a hypothesis test that is used to test a hypothesis about the mean of a population when the population standard deviation is known, and the sample size is large (typically greater than 30).

When the sample size is small (less than 15), the one-mean z-test is not appropriate because the assumptions of the test may not be met.

When the sample size is small, we typically use a t-test instead of a z-test to test a hypothesis about the population mean.

Specifically, we use a one-sample t-test when the population standard deviation is unknown, and the sample size is small (typically less than 30).

The one-sample t-test uses a t-distribution to calculate the p-value and test the null hypothesis about the population mean.

It is important to note that the sample size of 15 is not a hard and fast rule for when to switch from the z-test to the t-test.

The decision of which test to use depends on the specific context and the assumptions of the test.

In general, if the population standard deviation is unknown and the sample size is small (less than 30), then we use the t-test. If the population standard deviation is known and the sample size is large (greater than 30), then we use the z-test.

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The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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The one-time administration fee is (d) $60

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

12 months costs $660.

15 months costs $810.

This means that

(x, y) = (12, 660) and (15, 810)

For the one-time administration fee, we have

(x, y) = (0, y)

So, we calculate the slope using

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(y - 660)/(0 - 12) = (810 - 660)/(15 - 12)

This gives

(660 - y)/12 = 50

So, we have

660 - y=600

This gives

y = 60

Hence, the administration fee is $60

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Justice sometimes requires unequal treatment based on merit or need. In the case of the successful businessman and less successful citizens, the businessman may deserve his wealth based on merit, but it is unjust for those in greater need to go hungry.

According to Shively, substantive justice refers to treating people as they deserve. However, this does not always mean equal treatment. There are two criteria in which justice requires unequal treatment. The first criterion is merit. People who have worked hard, achieved more, and contributed more to society deserve greater rewards than those who have not. The second criterion is need. People who are in greater need deserve greater assistance than those who are not.
Applying these criteria to the situation in which a successful businessman earns a million dollars while less successful citizens go hungry, we can see that by the criterion of merit, the businessman deserves the million dollars. He has worked hard, achieved more, and contributed more to society than those who are less successful. However, by the criterion of need, it is unjust for the less successful citizens to go hungry while the businessman has such wealth. They are in greater need and deserve greater assistance.
In conclusion, justice sometimes requires unequal treatment based on merit or need. In the case of the successful businessman and less successful citizens, the businessman may deserve his wealth based on merit, but it is unjust for those in greater need to go hungry. Therefore, we must strive to find a balance between these criteria to ensure that everyone is treated justly.

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Answer:

3(a)+2(o)=14

3(a)+2(o)=34

3(4)+2(1)=14

3(8)+2(5)=34

Step-by-step explanation:

4 apple's and one orange to get 14 pieces of fruit. 8 apples and 5 oranges to get 34 pieces of fruit.

Answer:

sorry please....what is the end of the question ....no task to do

Answer:

10/9

Step-by-step explanation:

10/9

Just flip-flop the numerator and denominator

The height of the escalator is as calculated using trigonometric ratios.

We know that in a right angled triangle the trigonometric ratios are

tan θ = perpendicular ÷ base

For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .

Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.

Now using the trigonometric ratio of tanθ

tan θ = 2 / 3

Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .

Now, the height is given as h .

∴ tan θ = h / 90

or, 2 / 3 = h / 90

or, h = 60 feet

Therefore the height of the escalator is 60 feet.

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Answer: It is between 3 and 4.

Step-by-step explanation:

Integers are whole numbers and its opposite, for example,  -5,-4,-3,-2,-1, 0, 1,2,3,4, 5 ,....

Meaning that 3.4 is not an integer so it fall between two integers and those integers has to be positive because 3.4 is a positive number.  

3.4 is slightly greater than 3  but is less than 4.

Meaning that 3.4 is between the integers 3 and 4.

Answer:  22.8888888889 but rounded 22.9

Step-by-step explanation: This is so because when you turn 23 to ninths you get 207/9 - 1/9 then put into decimal form, 22.8888888889 or 2.9

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

Answer:

9/40

Step-by-step explanation:

3/5 - 3/8

24/40 - 15/40

= 9/40

( I hope this was helpful) >;D

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The correct answer is option B which is Sn = -111974.

When there is a constant between the two successive numbers in the series then it is called a geometric series.

Here we have the following data:-

\(\sum_{n=1}^7-2.6^{n-1}\)

\(a_n = a_1r^{n-1}\ \ \ \ \ S_n = a_1(\dfrac{1-r^n}{1-r})\)

Here we need to calculate the first term second term and common ratio to calculate the sum of the series.

a₁ = -2.(6¹⁻¹) = -2

a₂ = -2.( 6²⁻¹) = -2 (6) =-12

Common ratio:-

\(a_n = a_1r^{n-1}\)

\(-12 = -2r^{2-1}\)

r = 6

Put all the values in the sum formula:-

\(S_n = -2(\dfrac{1-6^7}{1-6})\)

\(S_n = -2(\dfrac{279935}{5})=-2\times 55987\)

\(S_n\) = -111974

Therefore the correct answer is option B which is Sn = -111974.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The momentum of the person is zero and the momentum of the bike is 1332.

A person is riding a 14 kg bike at velocity of 18m/s

The momentum of bike = mass x velocity

p = (14 + 60) 18

= 1332

The velocity of the person with respect to the bike is 0

p = mv

p = 60 x 0

p = 0

Therefore, the momentum of the person is zero and the momentum of the bike is 1332.

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A two-dimensional form that occupies an area is called a shape.

Shapes can be various types such as rectangles, circles, triangles, and many others, and they are defined by their properties such as sides, angles, and vertices. They are defined by their boundaries or edges and exist within a plane. These forms have dimensions of length and width, but not depth. Shapes play a fundamental role in geometry and are studied extensively in mathematics and art. They can be simple or complex, symmetrical or asymmetrical, and are used to represent objects, patterns, or designs. Whether in the natural world or man-made creations, shapes are integral to our understanding and appreciation of visual compositions.

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