Write an equation for
Two-thirds a number x plus 8 is 11

The average rate of change for the interval from x = 9 to x = 10 is -19

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

The table of values

From the table of values, we have

Rate from 5 to 6 = -11

Also, we have

Common difference = -2

This means that

Rate from 8 to 9 = -11 - 2 * 2 * 2

Evaluate

Rate from 8 to 9 = -19

Hence, the rate is -19

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Answer:

D

Step-by-step explanation:

D says four-tenths and 2 times 2 is 4 and 5 times 2 is 10 so 2/5 is equal to 4/10.

Answer:

30.0

Step-by-step explanation:

Answer:

The correct answers are:

As x approaches positive infinity, f(x) approaches positive infinity.

As x approaches negative infinity, f(x) approaches 0.

Step-by-step explanation:

Maggie's mistake on the solution of the expression for x was when she subtracted 7x to both sides, the result should have been -3x and not 3x.

The equation is given as follows, as the angles are congruent, that is, they have the same measure:

4x + 2 = 7x - 25.

First, we isolate x on the left side of the equality, subtracting 7x from both sides, hence:

4x + 2 - 7x = 7x - 25 - 7x

Then the correct expression is:

-3x + 2 = -25

Which is where Maggie's mistake happened, on the subtraction of 4x and 7x.

Then, isolating x, we subtract 2 from both sides of the equality, to remove the +2 term on the left side of the equality.

-3x = -27

3x = 27

x = 27/3

x = 9.

The correct solution is x = 9.

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Answer:

Ewan ko lng po when you find someone ma mas better less sa kanya

8 students out of 27

the total of students is 27 out of the 27 students 19 dont play and instrument and a sport

Perimeter of the plot of land = 1,920 m.

Perimeter = sum of all the sides of the triangular plot of land.

We only know two of the sides, therefore, we would find the third side length by applying the Law of Cosines, which is:

\(c^2 = a^2 + b^2 - 2ab \times Cos $ C\)

Where,

\(c = $ third $ side $ = ?\\a = 345\\b = 780\\C = 79.8\)

Substitute the values into the formula:

\(c^2 = 345^2 + 780^2 - 2(345)(780) \times Cos $ 79.8\\c^2 = 727,425- 538,200 \times 0.1771\\c^2 = 632,109.78\\c = \sqrt{632,109.78} \\\c = 795.1\)

The third side is 795.1 m long.

Therefore:

Perimeter = \(345 + 780 + 795 = 1,920$ m\)

The perimeter of the plot of land is 1,920 m.

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Answer:

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

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

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

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

Answer:

h

Answer:

I think it's 41°

Step-by-step explanation:

Because the angle represents Tan, by using the inverse of tan and the formula of Opp/Adj, the answer will be 41.08 Which is 41°

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Answer: 40 degrees

Step-by-step explanation:

There are 9 sides in a nonagon and 360 degrees make the shape up.

360 degrees divided by  9 EQUAL SIDES of a nonagon = 40 degrees

Answer: x: 1... y: 2... z: -5

Step-by-step explanation:

You need to get z by itself. Divide -4 on both sides and z=-5

Then, get y by itself. Move 6x... and -3y=-6x (the zero doesn't matter now)... then divide by 3 and... y=2x

Now, plug y and z into the first equation...

-2x + 3(2x)+5(-5)=-21

Now solve!

-2x + 6x -25 = -21

4x - 25 = -21

4x = 4

x = 1

Now, you can plug x into the third equation to find y...

6(1) - 3y = 0

Solve!

6 - 3y = 0

-3y = -6

y = 2

Now we have all of them!

The measure of internal angle m∠V = 103°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of interior angles of the polygon be S

Now , the number of sides of the polygon n = 6 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the values in the equation , we get

nθ = 180° ( 6 - 2 )

nθ = 180° x 4

nθ = 720°

Therefore , the value of S = 720°

Now , the sum of measures of internal angles inside the polygon is

m∠S = 90°

S = 90° + ( 9x - 19 )° + 111° + ( 5x + 8 )° + 128° + ( 7x + 3 )°

On simplifying the equation , we get

( 9x - 19 )° + ( 5x + 8 )° + ( 7x + 3 )° + 329° = 720°

Subtracting 329° on both sides of the equation , we get

( 9x - 19 )° + ( 5x + 8 )° + ( 7x + 3 )° = 391°

And , on further simplification , we get

21x - 8 = 391

Adding 8 on both sides , we get

21x = 399

Divide by 21 on both sides , we get

x = 19

Now , the measure of m∠V = ( 5x + 8 )°

Substitute the value of x in the equation , we get

The measure of m∠V = ( 5 ( 19 ) + 8 )°

The measure of m∠V = 103°

Hence , the measure of angle m∠V = 103°

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Answer:

r=1, h=9

r=2, h=2.25

r=5, h=0.36

r=12, h=0.0625

r=r, h=9/r²

Step-by-step explanation:

Volume of a cone = πr²h/3

3π=πr²h/3

r²h=9

when r=1?

r²h=9

1²h=9

h=9

when r=2?

r²h=9

2²h=9

4h=9

h=2.25

when r=5?

r²h=9

5²h=9

25h=9

h=0.36

when r=12?

r²h=9

12²h=9

144h=9

h=0.0625

when r=r?

r²h=9

h=9/r²

The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.

Volume is the amount of space that is occupied by a three dimensional object.

The volume of a cone (V) is given by:

V = (1/3)πr²h

Where r is the radius and h is the height.

For a radius of 1:

3π = (1/3)π*(1)² * h

h = 9

For a radius of 2:

3π = (1/3)π*(2)² * h

h = 2.25

For a radius of 5:

3π = (1/3)π*(5)² * h

h = 0.36

For a radius of 12:

3π = (1/3)π*(12)² * h

h = 0.02

The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.

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Answer:

1/16

Step-by-step explanation:

This means 1/2x2x2x2  = 1/16

Answer:

yes

Step-by-step explanation:

the converse is Right

In this movie, the ratio of children to adults suggests that there are 27 children in attendance.

We have to give that,

There are 9 children for every 4 adults.

This means that if there were 13 people, 9 of them would be children and 4 would be adults.

Children would therefore be:

= 9 / 13

If there were 39 people, the number of children would be:

= 9/13 x 39

= 27 children

In conclusion, there are 27 children.

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The complete question is,

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults in the movie.

How many children are in the movie?

To determine the common ratio for the sequence 64, 112, 196, 343, ... we need to find the ratio between any two consecutive terms.

The ratio between the second and first terms is:

112/64 = 1.75

The ratio between the third and second terms is:

196/112 = 1.75

The ratio between the fourth and third terms is:

343/196 = 1.75

Since the ratios between all consecutive terms are the same, we can conclude that the common ratio for this sequence is 1.75.

Therefore, the answer is (b) 1.75.

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Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

y=-2

sub y=-2 into equation 1,

x=3(-2)+6

x=0

sub is an abbreviation for substitute

The probability that a aimlessly  named man's  hipsterism breadth will be lesser than16.6  elevation is  roughly0.042, or 4.2 %.

  To  break this problem, we need to find the probability that a aimlessly  named man's  hipsterism breadth is lesser than16.6  elevation, given that men's  hipsterism breadths are  typically distributed with a mean of14.7  elevation and a standard  divagation of1.1  elevation.  

First, we need to  regularize the value of16.6  elevation using the formula   z = ( x- μ)/ σ  

where x is the observed value,

μ is the mean, and

σ is the standard  divagation.

 In this case, we have   z = (16.6-14.7)/1.1 = 1.727

 Next, we need to find the area under the standard normal distribution  wind to the right of z = 1.727. We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we have   P( Z>1.727) = 0.042

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Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

A. The function has a relative maximum value of f(x,y) = 82 at (x,y) = (8, -4). B. The function has no relative minimum value.

To find the relative extrema of the function, we need to find the critical points where the partial derivatives of the function are equal to zero or do not exist. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = 2x - 16

∂f/∂y = 2y + 8

Setting these partial derivatives equal to zero, we can solve for x and y:

2x - 16 = 0   =>   x = 8

2y + 8 = 0   =>   y = -4

So, the critical point is (8, -4). To determine whether it is a relative maximum or minimum, we can use the second derivative test. Calculating the second partial derivatives:

∂²f/∂x² = 2

∂²f/∂y² = 2

Since both second partial derivatives are positive, the critical point (8, -4) corresponds to a relative minimum. However, the problem statement does not provide any information about the range of the variables x and y, so there could potentially be other points in the domain that yield lower function values.

Therefore, we conclude that the function does not have a relative minimum value.

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Real-valued functions as vectors and derivatives as linear operators or transformations of these vectors are related. Here, we will discuss this relationship. The derivative of a real-valued function is a vector space. That is, the derivative has the following properties: It is linear; It has a zero vector; It has a negative of a vector.

For example, consider a real-valued function\(, f(x) = 2x + 1\). The derivative of this function is 2. Here, 2 is a vector in the vector space of derivatives. Similarly, consider a real-valued function, \(f(x) = x² + 2x + 1.\)The derivative of this function is 2x + 2.

The vector space of derivatives is closed under addition, which is also a vector in the vector space of derivatives. Furthermore, the vector space of derivatives is closed under scalar multiplication. For example, the product of 2 and\(2x + 2 is 4x + 4,\)which is also a vector in the vector space of derivatives.

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Answer:

B) p= 8d

Step-by-step explanation:

Each day she reads that many pages.

When u multiply 8 x the number of days u get that many pages.

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In elliptic geometry, which is a non-Euclidean geometry, the first four Euclidean postulates are not valid.

However, we can still examine how they are violated and discuss the corresponding proofs in hyperbolic geometry.

1. First Postulate (Postulate of Line Existence):

Euclidean Postulate:

Given any two distinct points, there exists a unique line that passes through them.

Violation in Elliptic Geometry:

In elliptic geometry, any two distinct points do not have a unique line passing through them.

Instead, there are multiple lines that pass through any two points.

Proof in Hyperbolic Geometry:

In hyperbolic geometry, we can prove that given any two distinct points, there are infinitely many lines passing through them.

This can be demonstrated using the Poincaré disk model or the hyperboloid model.

2. Second Postulate (Postulate of Line Extension):

Euclidean Postulate:

Any line segment can be extended indefinitely to form a line.

Violation in Elliptic Geometry:

In elliptic geometry, a line segment cannot be extended indefinitely since the lines in this geometry are closed curves.

Proof in Hyperbolic Geometry:

In hyperbolic geometry, we can show that a line segment can be extended indefinitely by demonstrating the existence of parallel lines that do not intersect.

3. Third Postulate (Postulate of Angle Measure):

Euclidean Postulate:

Given a line and a point not on the line, there exists a unique line parallel to the given line.

Violation in Elliptic Geometry:

In elliptic geometry, there are no parallel lines.

Any two lines will eventually intersect.

Proof in Hyperbolic Geometry:

In hyperbolic geometry, we can prove the existence of multiple parallel lines through a given point not on a line.

This can be achieved by showing that the sum of angles in a triangle is always less than 180 degrees.

4. Fourth Postulate (Postulate of Congruent Triangles):

Euclidean Postulate:

If two triangles have three congruent sides, they are congruent.

Violation in Elliptic Geometry:

In elliptic geometry, two triangles with three congruent sides may not be congruent.

Additional conditions, such as congruent angles, are necessary to determine triangle congruence.

Proof in Hyperbolic Geometry:

In hyperbolic geometry, we can prove that two triangles with three congruent sides are congruent.

This can be demonstrated using the hyperbolic version of the SAS (Side-Angle-Side) congruence criterion.

In summary, in elliptic geometry, the first four Euclidean postulates are not valid, and their corresponding proofs in hyperbolic geometry show how these postulates are violated or modified to fit the geometrical properties of the respective geometries.

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The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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The total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

What is percentage of a number?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck.

According to their inventory, they still need to load 96% of boxes on the truck. There must be 100% box at the start of the loading. Thus, the percentage of boxes they have load,

p=100-96 = 4%

Thus the percentage of boxes they have load in the truck is 4%. This is equal to the 48 boxes they have loaded.

Let suppose there is x number of total boxes. Thus the 4 percent of x will  be equal to the 48.

(4/100)x=48

x = 4800/4  = 1200

Thus, the total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

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