PLEASE PLEASE PLEASE LOOK AT THIS & HELP ME

Answer:

7. 7.1+5.4+2.9=15.7

10.3+5.4=15.7

8. 373.4 - 152.9 = 220.5

373.4 - 153 = 220.4

220.4 - 0.1 = 220.5

9. 18.25 + 7.99 + 4.75 = 30.99

10. 1.05 + 3 + 4.28 + .95 = 9.28

11. 302.504

12 50.5

The probability that a randomly selected point within the square falls in the red shaded area is approximately 0.2146 or about 21.46%.

To find the probability that a randomly selected point within the square falls in the red shaded area, we need to compare the area of the red shaded region to the area of the entire square.

Let the side length of the square be 2 units, and let the center of the circle be at the center of the square. Then, the radius of the circle is also 1 unit.

The area of the square is \((side length)^2\) = \(2^2\) = 4 square units.

The area of the circle is π\((radius)^2\) = π\((1)^2\) = π square units.

The red shaded area is the difference between the area of the square and the area of the circle, which is 4 - π square units.

Therefore, the probability that a randomly selected point within the square falls in the red shaded area is:

(red shaded area) / (area of the square) = (4 - π) / 4 ≈ 0.2146

So the probability is approximately 0.2146 or about 21.46%.

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Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

Chop it into shapes you know how to solve with:

Rectangle with dementions 6m x 3m A=18m^2

Rectangle with dementions 12m x (8-3)m A=60m^2

Rectangle with dementions 2m x 3m A=6m^2

total area= 18+60+6=84m^2

Peremeter:

12+6+2+(12-6-2)+3+3+8+8

=12+12+3+3+8+8

=24+6+16

=30+16

=46m

Answer: Im pretty sure its B

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

12x^3, 6xy, and 18x can all be evenly divided by 6x

Answer:

10 + 6C

Step-by-step explanation:

C = the number of CDs Alyssa has

Alyssa has C CDs

Fran has five more than three times as many CDs as Alyssa.

Fran has 5 + (3 * C)

Fran has (5 + 3C) CDs

Jessica has twice as many CDs as Fran

Jessica has 2 * (5 + 3C) CDs

Jessica has 10 + 6C CDs

Answer:

4x + 9x = 52

x = 4

Step-by-step explanation:

Let the unknown number be x

Given: Four times of that number ( 4x ) added to 9 times of that number ( 9x )

equals to 52

4x + 9x = 52

13x = 52

x = 4

So, the number is 4.

If this is correct, please give me brainliest.

150 students scored between 42 and 56 on the district geometry test.

Box whisker plots are used to abstract a collection of data that has been approximated using an interval scale. Just a box plot is another name for it. They are mostly employed while interpreting data. It is one of the graphical approaches that shows how the dataset's data varies from one another. The histogram may be used to display the data as well. Yet a histogram offers a useful presentation. Box and whisker plots are preferable to histograms because they may exhibit numerous sets of data on a single graph, which adds more information.

From the box whisker plot we see that the lower quartile is 42 and the median is 56.

The median represents the 50th percentile whereas lower quartile is 75%.

The difference is:

75 - 50 = 25%.

Now, for 600 scores we have:

25% of 600

= 25/100 (600) = 150

Hence, 150 students scored between 42 and 56 on the district geometry test.

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Answer:

Step-by-step explanation:

The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.

angle 1 + angle 2 = 180° ... 1

If two angles are vertical angles , this means that both angles are equal.  Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°

Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°

Substituting this angles into equation 1 to get the value of y;

(3y + 10)°+(5y - 30)° = 180°

3y+5y+10-30 = 180

8y-20 = 180

8y = 180+20

8y = 200

y = 200/8

y = 25°

To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°

angle 2 = 5(25) - 30

angle 2 = 125 - 30

angle 2 = 95°

Substituting the calculated value of E, we can determine the confidence interval.

To calculate the confidence interval for the proportion of college students who have eaten fast food within the past week, we can use the sample proportion and the desired level of confidence.

Given:

Sample size (n) = 400

Number of students who have eaten fast food (x) = 232

First, we calculate the sample proportion:

p(cap) = x / n

p(cap) = 232 / 400 = 0.58

Next, we determine the margin of error (E) based on the desired level of confidence. Let's assume a 95% confidence level, which corresponds to a significance level (α) of 0.05.

The margin of error can be calculated using the formula:

E = z * sqrt((p(cap) * (1 - p(cap)) / n)

Where z is the critical value from the standard normal distribution corresponding to the desired confidence level. For a 95% confidence level, the critical value is approximately 1.96.

E = 1.96 * sqrt((0.58 * (1 - 0.58)) / 400)

Finally, we can construct the confidence interval by subtracting and adding the margin of error from the sample proportion:

Confidence interval = p(cap) ± E

Confidence interval = 0.58 ± E

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Step-by-step explanation:

The values of x for which f(x) and g(x) are equal are given by

f(x)=g(x)

⟹2x

2

−1=1−3x

2x

2

+3x−2=0

(x+2)(2x−1)=0

x=−2,1/2.

Thus, f(x) and g(x) are equal on the set {-2, 1/2}.

Answer:

Your answer would be -2, 1/2

Step-by-step explanation:

Mark the dude above brainliest! :]

Answer:

0.625

Step-by-step explanation:

1/2 divided by 4/5

Answer:

5/8

Step-by-step explanation:

1/2÷4/5

1/2*5/4

5/8

Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

Answer:

All real numbers are solutions

Step-by-step explanation:

4(x+3)−7>x+3(x+1)

Step 1: Simplify both sides of the inequality.

4x+5>4x+3

Step 2: Subtract 4x from both sides.

4x+5−4x>4x+3−4x

5>3

Step 3: Subtract 5 from both sides.

5−5>3−5

0>−2

Explanation

Step 1: Simplify both sides of the inequality.

4x+5-4x>4x + 3, - 4x

Step 2: Subtract 4x from both sides.

4x+5-4x>4x+3-4x

5>3

Step 3: Subtract 5 from both sides.

5 - 5 > 3 - 5

0> -2

Answer:

All real numbers are solutions.

The solution for 3x 2y 5 is x = 0 and y = -2.5

The solution for 3x 2y 5 can be found by first rewriting the equation in standard form, which is ax + by = c. In this case, the standard form would be 3x + 2y = -5.

Next, we can calculate the value of y in terms of x by using the following formula:

y = (c - ax) / b

Substituting in the values, we get:

y = (-5 - 3x) / 2

Now, we can substitute this expression for y into the original equation to solve for x:

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

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

6x + -5 = -5

6x = 0

x = 0

Finally, substituting x = 0 into the expression for y, we get:

y = (-5 - 3(0)) / 2

y = (-5 - 0) / 2

y = -5 / 2

y = -2.5

The solution for 3x 2y 5 is x = 0 and y = -2.5

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On assuming the given Hexagons are similar then the changes that will result in pair of Non Similar Hexagons is :

(c) adding 15° to angles G, H, and I and subtracting 15° from angles J, K and L .

The Hexagons are said to be similar if they have matching sides in the same proportion .

If the same operation is performed on every side of the hexagon , then the hexagon will remain similar ,

So , from the given operation , the operation that is not performed on each side or on each hexagon , it will result in  Non similar hexagon .

The operation performed in option (c) performs addition on G, H, I and subtraction on angles J, K, L .

Therefore , it will result in Non Similar Hexagons .

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In the east town hatchery, around (d) 95% of the fish will have z-scores between 2 and -2.

A z-score is a measure of how far a specific point is away from the mean in terms of standard deviations. A z-score of 2 means that the point is 2 standard deviations above the mean, while a z-score of -2 means that the point is 2 standard deviations below the mean.

In this case, the mean length of a baby sunfish is 2.2 inches and the standard deviation is 0.6 inches. Therefore, a z-score of 2 means that the fish is 2 * 0.6 = 1.2 inches above the mean, while a z-score of -2 means that the fish is 2 * 0.6 = 1.2 inches below the mean.

The 68-95-99.7 rule tells us that approximately:

68% of the fish will have z-scores between -1 and 1.

95% of the fish will have z-scores between -2 and 2.

99.7% of the fish will have z-scores between -3 and 3.

Therefore, approximately (d) 95% of the fish in the east town hatchery will have z-scores between 2 and -2.

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1. The result of acting on a point [4,7,9] by a) A rotation of 60 degree about the z-axis, followed by b) A rotation of 45 degree about the x-axis, followed by c) A Translation of [d,e,f] is as follows:First of all, we will apply the rotation matrix of 60 degree about z-axis:Rz(60)=[cos60° -sin60° 0; sin60° cos60° 0; 0 0 1][4 7 9]=[4cos60° - 7sin60° 9; 4sin60° + 7cos60° 9; 9 0 1]=[2 6.9282 9; 5.1962 2.1962 9; 9 0 1]. Then, we will apply the rotation matrix of 45 degree about x-axis:Rx(45)=[1 0 0; 0 cos45° -sin45°; 0 sin45° cos45°][2 6.9282 9; 5.1962 2.1962 9; 9 0 1]=[2 6.9282 9; 1.7071 -0.7730 11.8284; 7.0711 7.0711 1]After that, we will apply the translation matrix:[d e f]=[2 1.7071 7.0711; 6.9282 -0.7730 7.0711; 9 11.8284 1]=[11.0711 13.5353 8.0711; 9.1552 11.8210 16.8996; 9 11.8284 1].

Therefore, the new coordinates are [11.0711 13.5353 8.0711]2. The transform matrix that represents a) a rotation at 45 degrees about the z-axis, followed by b) a rotation of −60 degrees about the x-axis, followed by c) a translation of (3,7,9) is given as follows:Rz(45)=[cos45° -sin45° 0; sin45° cos45° 0; 0 0 1]Rx(-60)=[1 0 0; 0 cos(-60) -sin(-60); 0 sin(-60) cos(-60)]T=[1 0 0 3; 0 1 0 7; 0 0 1 9; 0 0 0 1]Therefore, T= [cos45° 0 sin45° 3; cos(-60) -sin(-60) 0 7; sin45° 0 cos45° 9; 0 0 0 1]3. There are 12 pieces of unknown given regarding the actual location of the rigid body in space. This is because we have 3 parameters for rotation, 3 for translation and 3 for scaling. So, there are 9 parameters, but since the matrix is 4x4, we have 12 unknowns. We can eliminate or reduce it to a smaller unknown number by fixing some of the degrees of freedom.

For example, we can fix the scaling to be 1, which reduces the unknowns by 3.4. Universal frame is a reference frame that is fixed relative to the universe. It is used to describe the motion of objects relative to a fixed reference frame. On the other hand, a reference frame is a coordinate system that is used to describe the position, orientation, and motion of objects. It is relative to the observer or some other moving or fixed object.5. The new location of the frame relative to the reference frame is obtained by multiplying the frame matrix F with the translation matrix T. Therefore, F' = F * T = [0 1 0 4; 1 0 0 1; 0 0 -1 7; 0 0 0 1] * [1 0 0 3; 0 1 0 7; 0 0 1 9; 0 0 0 1] = [0 1 0 7; 1 0 0 5; 0 0 -1 0; 0 0 0 1]Therefore, the new location of the frame relative to the reference frame is [7 5 0].

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The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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If the individual resistances are known to follow a normal distribution with a mean of 100 ohms and a standard deviation of 10 ohms , then the sample mean resistance associated with the ten resistors is 99.16 ohms .

The resistors of randomly selected 100 ohms resistors are recorded as :

⇒ 79.9, 85.9, 87.0, 96.7, 107.4, 100.8, 115.4, 117.9, 98, and 102.6  ;

we have to fins the sample mean resistance associated  with the 10 resistors .

the number of resistors(n) = 10 ;

the sum of 10 resistors is ⇒ 79.9 + 85.9 + 87.0 + 96.7 + 107.4 + 100.8 + 115.4 + 117.9 + 98 + 102.6

⇒ 991.6/10 = 99.16 .

Therefore , the sample mean resistance is 99.16 ohms .

The given question is incomplete , the complete question is

The resistances of then randomly selected 100-ohm resistors have been recorded: 79.9, 85.9, 87.0, 96.7, 107.4, 100.8, 115.4, 117.9, 98, and 102.6 ohms. The individual resistances are known to follow a normal distribution with a mean of 100 ohms and a standard deviation of 10 ohms.

Calculate the sample mean resistance associated with the ten resistors .

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The reciprocal of 20.95 to 4 decimal places using the table of reciprocals is 0.0478.

To find the reciprocal of 20.95, we can look up the reciprocal of 20.9 or 21 in the table and then interpolate to get a more accurate value for 20.95.

To interpolate, we can calculate the difference between 20.95 and 20.9, which is 0.05, and the difference between the reciprocals of 20.95 and 20.9, which is 0.00009.

Then we can use the formula:

reciprocal of 20.95 = reciprocal of 20.9 + (difference / interval) x (reciprocal of 21 - reciprocal of 20.9)

where interval is the difference between the numbers in the table (which is 0.1 in this case).

Thus:

reciprocal of 20.95 = 0.04784 + (0.05 / 0.1) x (0.04762 - 0.04784)

= 0.04784 + 0.025 x (-0.00022)

= 0.04784 - 0.0000055

= 0.0478345

In other words, the reciprocal of 20.95 to 4 decimal places using the tables of reciprocals is 0.0478.

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The theory behind Euler's equation and the boundary conditions for a column with one fixed end and the other end free. Therefore, the answer to the question is d) 1/2, as x = π/2L = (2(1) - 1)π/2L = (2n - 1)π/2L when n = 1/2.

Euler's equation is derived from the Euler-Bernoulli beam theory, which states that a slender column under axial compression will buckle when the compressive stress exceeds a certain critical value. The buckling load is given by the equation P= xt^2π^2Et, where P is the buckling load, x is a dimensionless factor called the slenderness ratio (the ratio of the column length to its cross-sectional dimensions), t is the thickness of the column wall, E is the modulus of elasticity of the column material, and π is the mathematical constant pi.

For a column with both ends pinned, the value of x is given by x = nπ/L, where n is an integer and L is the length of the column. For a column with one end fixed and the other end free, the value of x is given by x = (2n - 1)π/2L, where n is an integer.  In this case, we have a column with one fixed end and the other end free, so we need to use the equation x = (2n - 1)π/2L to find the value of x. Since n can be any integer, we can choose n = 1 to simplify the equation and get x = π/2L.

Substituting this value of x into Euler's equation, we get P = (π/2L)²π²Et = π²Et/4L². This means that the buckling load for a column with one fixed end and the other end free is proportional to the modulus of elasticity and inversely proportional to the square of the length of the column.

Therefore, the answer to the question is d) 1/2, as x = π/2L = (2(1) - 1)π/2L = (2n - 1)π/2L when n = 1/2

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Answer:

The 6th degree polynomial is \(p(x) = (x-1)^3(x-4)^2(x+3)\)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Zero 1 with multiplicity 3.

So

\(p(x) = (x-1)^3\)

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

\(p(x) = (x-1)^3(x-4)^2\)

Zero -3 with multiplicity 1:

Considering the previous zeros:

\(p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)\)

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is \(p(x) = (x-1)^3(x-4)^2(x+3)\)

Answer:

No

Step-by-step explanation:

if x = 15, 8 x 15 = 120

The root of the graph of f(x) = \((x-5)^{3} (x+2)^{2}\) touches the x axis at -2 and 5.

What is root of graph ?

A rooted graph is a graph in which one node is labeled in a special way so as to distinguish it from other nodes. The special node is called the root of the graph. The rooted graphs on nodes are isomorphic with the symmetric relations on nodes.

Have given,

f(x) = \((x-5)^{3} (x+2)^{2}\)

If a curve touches the x-axis then f(x) = 0

⇒\((x-5)^{3} (x+2)^{2}\) = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒\((x - 5)^{3}\) = 0 and \((x + 2)^{2}\) = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

The root of the graph of f(x) = \((x-5)^{3} (x+2)^{2}\) touches the x axis at -2 and 5.

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Answer: 1, 2, & 5.

Step-by-step explanation:

1) ∠M ≅ ∠M''

2)△LMN ~ △L''M''N''

5)The coordinates of vertex N'' are (3, -1.5).

Answer:

Step-by-step explanation:

All composite numbers can be represented as the product of prime numbers.

28 is equal to 2 * 2 * 7. There is no point in using 4 because 4 can be broken done into 2 * 2