What is on way feudal japan was different than feudal Europe???? Not mathematics it is history.

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

The balance Ranjan will receive from the cashier is ₹ 0

Based on the information given, we have that;

Now, expand the bracket for the payment, we have;

(2a+b )²

(2a +b) (2a + b)

Multiply through

4a² + 2ab + 2ab + b²

Add like terms

4a² + 4ab + b²

Now, let's add the amount for the items bought

a² –ab -b²  + 2a² +8ab-2b² + a² –3ab + 4b²

add like terms

4a² +  4ab + b²

Now, subtract the amounts

4a² + 4ab + b² - 4a² +  4ab + b²

₹ 0

Hence, the balance is ₹ 0

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Answer:

y=−1/7

for the picture is y=-57/7

Step-by-step explanation:

Switch:sides

-7y+7=8

subtract 7 from both sides

-7y=1

divide both sides by -7

y=−1/7

multiply both sides by (y+7)

8/y+7(y+7)=-7(y+7)

simplify 8=-7(y+7)

flip

-7(y+7)=8

divide both sides by -7

y+7=-8/7

subtract 7 from both sides

and simplify

y=-57/7

Answer:

95% of confidence interval of the proportion of all people who pick their noses at red lights

(0.3342 , 0.5258)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 100

Given data  43 out of a random sample of 100 people said they pick their noses at red lights.

sample proportion

                           \(p^{-} = \frac{x}{n} = \frac{43}{100} = 0.43\)

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step(ii):-

95% of confidence interval of the proportion of all people who pick their noses at red lights

\((p^{-} -Z_{\alpha } \sqrt{\frac{p(1-p)}{n} } ,p^{-} +Z_{\alpha } \sqrt{\frac{p(1-p)}{n} })\)

\((0.43 -1.96 \sqrt{\frac{0.43(1-0.43)}{100} } ,0.43 +1.96 \sqrt{\frac{0.43(1-0.43)}{100} })\)

( 0.43 -  0.0958 , 0.43 + 0.0958)

(0.3342 , 0.5258)

Conclusion:-

95% of confidence interval of the proportion of all people who pick their noses at red lights

(0.3342 , 0.5258)

Answer:

16 pages per hour

Step-by-step explanation:

48 ÷ 2 = 16 pages per hour

Answer:

C) 14

Step-by-step explanation:

Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28

Answer:

The vector equation

\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)

The parametric equation

\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)

Step-by-step explanation:

Given

\(Point = (2,2.4,3.5)\)

\(Vector = 3i + 2j - k\)

Required

The vector equation

First, we calculate the position vector of the point.

This is represented as:

\(r_0 = 2i + 2.4j + 3.5k\)

The vector equation is then calculated as:

\(r = r_o + t * Vector\)

\(r = 2i + 2.4j + 3.5k + t * (3i + 2j - k)\)

Open bracket

\(r = 2i + 2.4j + 3.5k + 3ti + 2tj - tk\)

Collect like terms

\(r = 2i + 3ti+ 2.4j + 2tj+ 3.5k - tk\)

Factorize

\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)

The parametric equation is represented as:

\(x = x_0 + at\\y = y_0 + bt\\z = z_0 + ct\)

Where

\(r = (x_0 + at)i +(y_0 + bt)j+(z_0 + ct)k\)

By comparison:

\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)

The time taken is 5.3 years.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P = 50, 000

W= 5000

r= 1.8%= 0.018

n= 2

Using, P = W (1- \((1+ r/n)^{-nt}\)) / (r/n)

Putting all the values we get

P = W (1- \((1+ r/n)^{-nt}\)) / (r/n)

50000 = 5000 (1- \((1+0.018/2)^{-2t}\)) / (0.018/2)

10 = (1- \((1+0.009)^{-2t}\)) / (0.009)

0.09 = 1 - \((1.009)^{-2t\)

\((1.009)^{-2t\) = 0.91

Taking log on both side

-2t log 1.009 = log 0.91

t= log 0.91/ (log 0.091) / (-20

t= 5.3

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Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

\(\cot(x) = -1\) whenever \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) radians, where \(k\) could be any integer (\(k \in \mathbb{Z}\), which includes positive whole numbers, negative whole numbers, and zero.)

Step-by-step explanation:

\(x = 45^\circ\) (as in isoscele right triangles) would ensure that \(\displaystyle \cot(x) = 1\). Since cotangent is an odd function, \(\cot(-45^\circ) = -1\).

Equivalently, when the angles are expressed in radians, \(\cot(-\pi / 4) = -1\).

The cycle of cotangent is \(\pi\) (or equivalently, \(180^\circ\).) Therefore, if \(k\) represents an integer, adding \(k\, \pi\) to the input to cotangent would not change the output. In other words:

\(\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1\).

Hence, \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) would be a solution to \(\cot(x) = -1\) whenever \(k\) is an integer.

Since \((-\pi / 4)\) is the only solution to this equation in the period \((0,\, \pi)\), all real solutions to this equation would be in the form \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) (where \(k\) is an integer.)

Answer:

2sqr3, the first option

Step-by-step explanation:

The Answer would be -3

Rise over run.

From one point to another the graph rises 3 and moves left 1.

we estimate the population mean m to be 75.

What is confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.

Since we want a 95% confidence interval, α = 0.05/2 = 0.025 and we need to find the critical value from the t-distribution with (36-1) = 35 degrees of freedom. Using a t-table or calculator, we find that t0.025,35 = 2.032.

Now, plugging in the values we have:

CI = 75 ± (2.032 * (24/√36))

CI = 75 ± (2.032 * 4)

CI = 75 ± 8.128

So the 95% confidence interval for the population mean m is (66.872, 83.128). This means we are 95% confident that the true population mean falls within this interval.

As for the estimated population mean, we can simply take the sample mean, which is X = 75.

Therefore, we estimate the population mean m to be 75.

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Answer:

Probability= 0.375

Step-by-step explanation:

Probabilty is the chance or possiblity of an event occuring.

In an event we should have a total possible space and a specific expected outcome.

In this scenario we have 8 possible sample space and 3 expected outcome.

The probability of selecting the strongest= 3/8

Probability= 0.375

The measures of the angles are:

m<7 = 47°

m<8 = 62°

m<1 = 62°

m<2 = 71° [vertical angles theorem]

m<5 = 109°

m<3 = 109°

m<4 = 35°

m<6 = 29°

The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.

Measure of angle 7 = 47° [based on the alternate interior angles theorem]

Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]

Measure of angle 8 = 62°

Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]

Measure of angle 1 = 62°

Measure of angle 2 = 71° [vertical angles theorem]

Measure of angle 5 = 180 - 71 [linear angle theorem]

Measure of angle 5 = 109°

Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]

Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]

Measure of angle 4 = 180 - 109 - 36

Measure of angle 4 = 35°

Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]

Measure of angle 6 = 180 - 109 - 42

Measure of angle 6 = 29°

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Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

Answer:

Step-by-step explanation:

9x-3y=-10 ...............(1)

3x-4y=1...............(2)

multiplying equation (2) by 3

9x-12y=3...................(3)

Using elimination method, then

9x-3y=-10 ...............(1)

9x-12y=3...................(3

9y= -13

y= -13/9

substituting y= -13/9 in equation (1) then

9x-3(-13/9)= -10

9x+13/3= -10

multiplying throughout by 3

27x+13= -30

27x= -30-13

27x= -43

x= -43/27

since x and y values are known, then

12x-7y = 12(-43/27) - 7(-13/9)

12x-7y = -516/27 + 91/9

12x-7y = -9

number of favourable outcome to d is 2

number of possible outcome is 3

p(D)=2/3

p(D, D) =p(D)×p(D)

p(D,D) 2/3 ×2/3

p(D,D)=4/9

probability =4/9 (D)

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Clare is going to need 50 minutes to label 750 books

1) Gathering the data

750 books

15 books per minute

2) Let's set a proportion for that, considering the fact that her speed is constant

15 books ----------------------1 minute

750 -------------------------------x

15x = 750

x= 50 books

3) Clare is going to need 50 minutes to label 750 books.

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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A mathematical statement in that shows two statements are equal is known as an equation (where two statements are separated by equals to "=" sign)

A mathematical statement in which the equal sign is applied to demonstrate equivalence between a number or expression along one side of the equal sign and a number or expression on the other side of the equal sign is known as an equation. There are two sides to every equation (i.e., left and right).

Equivalent equations are expressions that perform despite the fact that they look different. If two algebraic expressions are equal, then the two expressions possess the same value when we substitute similar value(s) for the variable(s).

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The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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a²-ab+ac-bc

a(a-b)+c(a-b)

(a-b)(a+c)