What is the area of quadrant 2 and 4 in terms of pi?

Answer:

y>x + 5 and x element R

Step-by-step explanation:

Hey there!☺

\(Answer:\boxed{y>x+5}\)

\(Explanation:\)

Solve for y | \(-3x+3y>15\)

In step 1, we will add 3x to both sides:

\(-3x+3y+3x>15+3x\\3y>3x+15\)

In our second/last step, we will divide both sides by 3:

\(\frac{3y}{3}>\frac{3x+15}{3}\\ y>x+5\)

y>x+5 is your answer.

Hope this helps!☺

Answer:

3 decimal 75 is the answer

Answer:

46 jumping jacks per minute

Step-by-step explanation:

184/4= 46

Answer:

she did 46 jumping jacks per minute

Step-by-step explanation:

Answer:

I think its 4(3x – 3) – 3x, 9x + x - 9, and 9x - 1

Step-by-step explanation:

Answer:

13.05%

Step-by-step explanation:

\(\begin{aligned}\sf Percentage\:increase &= \sf\dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{25507.59-22562.25}{22562.25} \times 100\\\\& = \sf \dfrac{2945.34}{22562.25} \times 100\\\\& = \sf 0.1305428315 \times 100\\\\& = \sf 13.05 \% \:(2\:dp)\end{aligned}\)

The value of p is 781.25.

What is a population growth?

Population Growth is defined as the increase in the number of individuals in a population is called population growth.

What is a common growth factor?

The growth factor is the ratio between the old price and the new price, once sales tax is included.

We want to know the population when y = 0, or when the number of years is zero.

Substitute the same in the equation

p = (400).\((\frac{5}{4} )^{y}\)

When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500

This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .

When y = 3, or at year 3 we get the population as p = 400  \((\frac{5}{4} )^{3}\)

                                                                                      = 781.25

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14a. =

15b. 2/3 is less than 0.667

16c. 3 7/8 is greater than 3.375

17d. 3/8 is less than 1/2

Answer:

a) The test statistic is \(z = -2.51\)

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

\(H_a: p_{B} - p_{NY} < 0\)

While the null hypothesis is:

\(H_0: p_{B} - p_{NY} = 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that \(X = 0.581 - 0.832 = -0.251\)

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

Standard error = 0.1

This means that \(s = 0.1\)

Test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-0.251 - 0}{0.1}\)

\(z = -2.51\)

The test statistic is \(z = -2.51\)

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Congruent means equal and not all the sides of a rectangle are equal

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:

21

Step-by-step explanation:

The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.

Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:

cos 0.5Ф > 0, sin 0.5Ф > 0

sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]

cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]

First, replace the values of the cosine of the half angle:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

cos 0.5Ф = √[(1 + 2 / 5) / 2]

Second, simplify the resulting expression:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

sin 0.5Ф = √[(3 / 5) / 2]

sin 0.5Ф = √(3 / 10)

cos 0.5Ф = √[(1 + 2 / 5) / 2]

cos 0.5Ф = √[(7 / 5) / 2]

cos 0.5Ф = √(7 / 10)

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Answer:

0.8629

Step-by-step explanation:

Given :

Number of trials, n = 400

p = 0.25

q = 1 - p = 1 - 0.25 = 0.75

With the information given, we could use a binomial probability relation to solve :

Recall : P(x = x) = nCx * p^x * q^(n-x)

Therefore, the probability that between 75 (inclusive) and 95 (inclusive) can be interpreted as :

P(75≤X≤90) = P(X ≥ 75) - P(X ≤ 90)

Using a binomial probability calculator :

P(X ≥ 75) = 0.9987

P(X ≤ 90) = 0.1358

0.9987 - 0.1358 = 0.8629

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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The equation of the perpendicular bisector of LK is y = 3/2x - 3

Define  Perpendicular bisector

A perpendicular bisector can be defined as a line segment which bisects another line segment at 90 degrees.

Given,

J(2, 5), k(6, -7), L (-6, 1)

Now, first find slope of LK

For that take L(-6, 1) and k(6, -7)

We know,

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

Let, (x1, y1) = (-6, 1)

and, (x2, y2) = (6, -7)

Now, put the values

m = (-7 - 1) / (6 - (-6))

m =-8 / 12

m = -2/3

Now, find the mid point of LK

we know,

midpoint = ( (x2 + x1) /2, (y1 + y2) / 2 )

Now, plug in the values

midpoint = ( (6 - 6) / 2, (- 7 + 1)/ 2 )

midpoint = (0, -3)

Now, we know point-slope equation is

y - y1 = m ( x - x1)

Now, plug in the values

Now, (x1, y1) = (0, -3)

And, perpendicular slope is,

-1/m = -1/(-2/3) = 3/ 2

Now,

y - (-3) = 3/2(x - 0)

y = 3/2x - 3

Hence, the equation of the perpendicular bisector of LK is y = 3/2x - 3

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Answer:

\( \huge{ \bold{y = - 2x - 5}}\)

Step-by-step explanation:

The equation of a line in slope-intercept form is represented by

y = mx + c

where

m is the slope

c is the y-intercept

First of all we have to find the slope from the two points given 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 (-3,1) and (4, -13)

We have

\(m = \frac{ - 13 - 1}{4 - - 3} = \frac{ - 13 - 1}{4 + 3} = - \frac{14}{7} = - 2 \\ \)

Next we find the y-intercept 'c' by placing one of the points and the slope into the slope-intercept form equation

Using point (-3,1) and m = -2

We have

\(1 = ( - 2)( - 3) + c \\ 1 = 6 +c \\ c = 1 - 6 = - 5\)

Since we have both m and c we can place it into the main equation to find the equation

Using point and m = -2 c= -5

We have the final answer as

\( \bold{y = - 2x - 5}\)

Hope this helps you

The ordered pair which is a solution to every linear equation of the form given is; (0, 0).

It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.

On this note, since the product of any real number, slope in this scenario and 0 is; 0.

Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.

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Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

The correct set of image points for trapezoid WXYZ is:

(second option) OW(4, 2), X'(3, 4), Y'(1, 4), Z'(0, 2)

Answer:

Just do 8x9x11 which is 792

Step-by-step explanation:

8 cm of the prism

your welcome

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Han produced hot chocolate by combining 6 tablespoons of cocoa with 4 cups of milk. For every spoonful of cocoa, 0.67 glasses of milk are required.

The relationship between two values is described by a ratio. It displays how frequently one value appears in another. The answer to this question will depend on how many cups of milk there are to every tablespoon of chocolate.

Divide the provided cups of coffee by the cost of the tablespoon of coffee to get the required quantity of milk per tablespoon of chocolate.

Cups per tablespoon of coffee equal cups of milk divided by tablespoons of cocoa.

Given that,

Number of cups of milk = 4

Tablespoons of cocoa = 6

4/6=0.67 cups

Therefore, for every spoonful of cocoa, 0.67 glasses of milk are required.

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

1. x + y

2. p - q

3. 5 * (y - x)

4. (m + n) / 3

hope this helps! <3

The cost of plastering the rectangle walls at rate of Rs.15/\(m^2\) is Rs.5565.

What is rectangle?

  With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object. A rectangle's opposing sides are equal and parallel. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The opposite sides of a quadrilateral are equal and parallel, and all the angles are equal. Around us, there are several rectangle-shaped items. Two dimensions, the length and breadth, define each rectangle shape. The width and length of a rectangle are its longer and shorter sides, respectively.

Given,

Length of room =12m

Breadth of room =10m

Height of room =6m

So, Area of four walls =2(l+b)×h

=>area of four wall=2(12+10)×6=264\(m^2\)

Now Area of 2 doors and 3 windows =(2×1×2+3×2×1.5)

=> area of 2 doors and 3 windows = 13\(m^2\)

Area of ceiling =l×b=12×10=120 \(m^2\)

Thus, total area for plastering =(264−13+120)= 371\(m^2\)

Hence, the cost of whitewashing =Rs.(371×15)=Rs.5565.

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Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

38 units

Step-by-step explanation:

We can find the perimeter of the shaded figure be finding out the number of unit lengths we have along the boundary of the given figure.

Thus, see attachment below for the number of units of each length of the figure that we have counted.

The perimeter of the figure = sum of all the lengths = 7 + 7 + 10 + 2 + 2 + 6 + 2 + 2 = 38

Perimeter of the shaded figure = 38 units

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

20

Step-by-step explanation:

count the dots

Answer:

20 students

Step-by-step explanation:

You just need to count the number of dots.

hope this helps

have a good day