12. In ∆PQR, if m∠P is 14 less than five times x, m∠Q is five less than x, and m∠R is nine less than twice x, find x and the measure of each angle. 13. In ∆JKL, if m∠J is seven less than m∠L and m∠K is 21 less than twice m∠L, find the measure of each angle. 14. In ∆BCD, if BC ≅ BD , m∠B = 13x – 35, m∠C = 5x – 19, and m∠D = 2x + 14, find x and the measure of each angle. 15. In ∆WXY, if∠X ≅ ∠Y , WX = 9x – 11, XY = 4x + 1, and WY = 7x – 3, find x and the measure of each side.

The growth rate between 2015 and 2016 of this random variable was 2%.

Given that the data collection is {100, 102, 104, 106, 105, 108}.

First element 100 is the value of some random variable in year 2015.102 is the value of the random variable in year 2016.Now the growth rate between 2015 and 2016 of this random variable was (in %) .

Growth rate= (final value - initial value)/initial value×100Given initial value=100, final value=102Growth rate= (102-100)/100 × 100=2%

Therefore, the growth rate between 2015 and 2016 of this random variable was 2%.

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Answer:

No way its too blur XD

Step-by-step explanation:

sports

watching tv

reading books

surfing

and sleeping maybe

Answer:

Sports - 25%

Surfing - 25%

Reading Books - 20%

Watching TV - 25%

Malling - 5%

Step-by-step explanation:

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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Answer:

l x w ig because it would be the area

Answer:

\( w = \frac{1}{2}{ p - l}\)

Step-by-step explanation:

\(p = 2l + 2w \\ \\ p - 2l = 2w \\ \\ \frac{p - 2l}{2} = w \\ \\ \frac{1}{2} p - l = w \\ \\ \huge \red {\boxed{ w = \frac{1}{2} p - l}}\)

Answer: On the 20th day, he will give $5242.88

Step-by-step explanation: This is a geometric series with elements:

initial value (\(a_{0}\)) = 0.01

ratio = 2

At the twentieth day means the 20th term, i.e. n = 20.

To determine that term, use the formula: \(a_{n} = a_{0}.r^{n-1}\)

Substituing terms:

\(a_{20} = 0.01.2^{20-1}\)

\(a_{20} = 0.01.2^{19}\)

\(a_{20} = 0.01.524288\)

\(a_{20} = 5242.88\)

Then, on the 20th day, your uncle gave to you $5242.88

Answer:

False

Step-by-step explanation:

In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

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The amount of interest that the customer will pay is given as follows:

$31.88.

The balance of an account after t periods is given as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

Hence the interest accrued is given as follows:

I(t) = Prt.

The parameters for this problem are given as follows:

P = 2530.16, r = 0.00042, t = 30.

Hence the interest is given as follows:

I(30) = 2530.16 x 0.00042 x 30

I(30) = $31.88.

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Answer:

$240

Step-by-step explanation:

this would be solved using simultaneous equation

let c = cost of cds

d = cost of dvds

two equatiions can be derived from the question

5d + 9c = 285 eqn 1

5d + 5c = 225 equation 2

subtract equation 2 from 1

4c = 60

c = 15

substitute for c in eqn 1

5d + 9(15) = 285

5d = 150

d = 30

5(30) + 6(15) = 240

Answer: 170%

Step-by-step explanation:

We cannot construct a square that equals the sum of the areas of two given squares. This statement contradicts the mathematical principles and properties of squares and the Pythagorean theorem.

The statement that given any two squares, we can construct a square that equals the sum of the two given squares is actually false. This statement goes against the well-known mathematical concept known as the Pythagorean theorem.

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem holds true for right-angled triangles, but it does not hold true for squares.

In fact, if we take two squares and try to add their areas together, the result will not be a square with an area equal to the sum of the two given squares. The resulting shape will be a non-square rectangle or some other irregular shape.

Therefore, we cannot construct a square that equals the sum of the areas of two given squares. This statement contradicts the mathematical principles and properties of squares and the Pythagorean theorem.

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Answer:

8.a 9.acb

Step-by-step explanation:

good luck

The woman has €123,750 left after paying taxes.

To calculate how much the woman has left after paying taxes, we need to determine her taxable income and then subtract the tax amount.

The woman earns €150,000 per annum and is allowed a tax-free pay of €45,000. This means that her taxable income is the difference between her total income and the tax-free allowance:

Taxable Income = Total Income - Tax-Free Pay

= €150,000 - €45,000

= €105,000

Next, we need to calculate the tax amount based on the taxable income. The woman pays 25 cents per euro as tax on her taxable income, which can be expressed as a tax rate of 25%.

Tax Amount = Tax Rate * Taxable Income

= 0.25 * €105,000

= €26,250

Finally, we can determine the amount the woman has left after paying taxes by subtracting the tax amount from her total income:

Amount Left = Total Income - Tax Amount

= €150,000 - €26,250

= €123,750

Therefore, the woman has €123,750 left after paying taxes.

It is important to note that tax calculations can vary depending on the specific tax laws and regulations in a particular jurisdiction. The above calculation assumes a tax rate of 25% and does not take into account any additional deductions or credits that may apply.

It is always advisable to consult with a tax professional or refer to the tax laws in the relevant jurisdiction for accurate and up-to-date information regarding tax calculations.

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Answer:

r = 2.7 cm

Step-by-step explanation:

From the figure attached,

To find the value of 'r' we will apply the sine rule in ΔRST,

sin(m∠R) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

sin(20)° = \(\frac{r}{SR}\)

sin(20)° = \(\frac{r}{8}\)

r = 8sin(20)°

r = 8(0.34202)

r = 2.736

r ≈ 2.7 cm

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

Answer:

Dan made more money last month

Step-by-step explanation:

15/100  10/100 Make into decimal's and Dan's is still higher

0.017 m/min is the height of increasing water.

What is the volume of a cylinder?

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material.

Formula to calculate the volume of a cylinder

volume = π r² h

where r is the radius of the cylinder and h is the height.

Here, we have

radius = 6m

dV/dt = 3

We have to find:  dh/dt

volume = π r² h

Differentiating both sides with respect to t, we get

dV/dt = π[2r(dr/dt)h + r²(dh/dt)]

r remains constant (r = 6), dr/dt = 0

So, dV/dt = πr²(dh/dt)

Substituting the values, we get

2 = π(6)²(dh/dt)

dh/dt = 2/(36π)

= 0.017m/min

Hence, 0.017 m/min is the height of increasing water.

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The Bonferroni method is a multiple comparison procedure used to control the family-wise error rate when comparing multiple treatments at a given level of alpha.

The Bonferroni method adjusts the alpha level for each individual comparison to maintain an overall family-wise error rate of alpha.To use the Bonferroni method, the researcher first chooses the desired level of family-wise error rate (e.g., 0.05).

Next, the researcher divides this alpha level by the total number of comparisons to obtain the adjusted alpha level for each individual comparison (e.g., 0.05/3 = 0.0167 for three comparisons).

The researcher then conducts the individual comparisons at the adjusted alpha level, using appropriate statistical tests (e.g., t-tests, ANOVA).If the p-value for a given comparison is less than the adjusted alpha level, the researcher can conclude that the difference between those treatments is statistically significant.

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The equation of the blue graph is g(x) = (x + 4)² - 3

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

The functions f(x) and g(x)

In the graph, we can see that

This means that

g(x) = f(x + 4) - 3

Recall that

f(x) = x²

This means that

g(x) = (x + 4)² - 3

This means that the equation of the blue graph is g(x) = (x + 4)² - 3

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The radius of convergence is 1. Let's apply the ratio test to determine the radius of convergence of the given power series:

r = lim |(a_{n+1}/a_n)|

n->inf

where a_n is the nth term of the series.

In this case, we have:

a_n = (2n-1)!x^(n-1)/(n-1)!(2!)^(n-1)

So, applying the ratio test, we get:

r = lim |(a_{n+1}/a_n)|

n->inf

= lim |[(2n+1)!x^n/n!(2!)^n)/(2n-1)!x^(n-1)/(n-1)!(2!)^(n-1)]|

= lim |[(2n+1)x/(n+1)(2!)]|

= lim |(2n+1)/(n+1)|*|x/2|

= 2|x/2|

We know that the series converges if r < 1 and diverges if r > 1. Therefore, the series converges when:

2|x/2| < 1

|x| < 1

So the radius of convergence is 1.

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Answer:

D

Step-by-step explanation:

-12 + 5 ≤ 4

-7 ≤ 4

this inequality is true

The answer to the question is D

In this case, we have two partitions: the left partition (27, 56, 46, 57) and the right partition (99, 77, 90).

Given the numbers (27, 56, 46, 57, 99, 77, 90) and pivot=77, the low partition after the partitioning algorithm is completed is (27, 56, 46, 57) and the high partition is (99, 77, 90).

First, to understand the partitioning algorithm in Quicksort, let us define Quicksort:

Quicksort is a sorting algorithm that operates by partitioning an array or list and recursively sorting the sub-arrays or sub-lists produced by partitioning.

Quicksort is one of the fastest sorting algorithms. It is used by many operating systems, libraries, and programming languages.

There are three important steps in the partitioning algorithm of Quicksort:

Choose the pivot element.

Partition the array based on the pivot element.

Recursively sort the two partitions after the partitioning is done.

A low partition and a high partition are formed when partitioning.

The low partition contains all elements lower than the pivot, while the high partition contains all elements higher than the pivot.

For our given numbers (27, 56, 46, 57, 99, 77, 90) and pivot=77, the low partition after the partitioning algorithm is completed is (27, 56, 46, 57), and the high partition is (99, 77, 90).

The partitioning algorithm works as follows:

Choose the pivot element, which is 77.

Partition the array using the pivot element, 77.

Elements less than 77 go to the left partition and elements greater than 77 go to the right partition.27, 56, 46, 57, 90, 99, 77 are the numbers.

Pivot is 77.46 is less than 77. It goes to the left.57 is less than 77. It goes to the left.27 is less than 77. It goes to the left.

90 is greater than 77. It goes to the right.99 is greater than 77. It goes to the right.77 is not considered here because it is the pivot.

Recursively sort the two partitions produced after partitioning.

In this case, we have two partitions: the left partition (27, 56, 46, 57) and the right partition (99, 77, 90).

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\(\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}\)

Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation:

45 OR 46

It depends on which month and day she is born on in 1975.

If you want it from todays current date, she would be 46.

If her birthday is the 11 / 04 / 1975 (eleventh of April) -  31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

D.540

if im wrong sorry

Step-by-step explanation:

The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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Can you please put a more bigger picture?