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A 85.7%
B 21.1%
C64.6%
D 35.4%

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

subtract 2 from the product of 12 and y

Step-by-step explanation:

The 3x3 matrix representing the composite 2D transformation of translating by (5,9) and then rotating 45° about the origin using homogeneous coordinates is: [ cos(45°) -sin(45°) 5  sin(45°) cos(45°) 9  0 0 1 ]

To find the matrix that represents the composite transformation, we first need to construct the individual transformation matrices for translation and rotation.

Translation Matrix:

The translation matrix for translating by (5,9) is:

[ 1 0 5

0 1 9

0 0 1 ]

Rotation Matrix:

The rotation matrix for rotating 45° about the origin is:

[ cos(45°) -sin(45°) 0

sin(45°) cos(45°) 0

0 0 1 ]

To obtain the composite transformation matrix, we multiply the translation matrix by the rotation matrix. Matrix multiplication is performed by multiplying corresponding elements and summing them up.

The resulting composite transformation matrix, accounting for translation and rotation, is:

[ cos(45°) -sin(45°) 5

sin(45°) cos(45°) 9

0 0 1 ]

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Answer:

4

Step-by-step explanation:

12x-15=3(2x+3)

12x-15=6x+9

12x-6x-15=9

6x-15=9

6x=9+15

6x=24

x=24/6

x=4

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Answer:

The answer is 4

Step-by-step explanation:

yeeeeeeeee

Answer:

4

Step-by-step explanation:

25% of 16

Change the percent to decimal form.

.25 * 16

4

Answer: -2x(5y+6)

Step-by-step explanation:

The error Chaim made in his proof is: D. Chaim used a criterion (SSA) that does not guarantee congruence.

The SSA congruence theorem only exist and holds true, only if the congruence non-included angles in both triangles are either obtuse or right angles and have two pairs of congruent sides.

Thus:

The two triangles given have a pair of non-included congruent angles that are less than 90 degrees.

Therefore, the error Chaim made in his proof is: D. Chaim used a criterion (SSA) that does not guarantee congruence.

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Answer:(x,y)=(8/3+y/3,-3-y/2

Step-by-step explanation:

y=3x-8            3x+2y=2         next simplify

8/3+y/3           -x-2/3y=-2/3   multiply both sides by -1/3

x=8/3+y/3       -x-2/3y=-2/3   eliminate at least 1 variable

y=-3-y/2

ordered pair to the solution 0=0 & 2=2

Answer:

0

Step-by-step explanation:

h(x) = 3 – 3/x

h(3) = 3 – 3/3

h(3) = 0/3

h(3) = 0

i hope this helped

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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The domain of the function f(x) is:

11 ≥ x

Here we have the function:

\(f(x) = \sqrt{11 - x}\)

Now, remember that the argument of a square root can only be a number equal to or larger than zero, so the domain of our function is defined by:

11 - x ≥ 0

Then, solving this for x, we get:

11 ≥ x

Concluding, the domain of the function f(x) is:

11 ≥ x

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Answer:

3 green apples and 7 red apples.

Step-by-step explanation:

1. Start with the ratio of green apples to red apples, which is 3 to 7.

2. Multiply 3 (the number of green apples) by any number to get a number that is divisible by 7 (the number of red apples).

3. In this case, multiplying 3 by 2 gives 6, which is divisible by 7.

4. Since 6 is divisible by 7, that means that the solution is 3 green apples and 7 red apples.

The corresponding sides and angles are ∠B=∠S , ∠A=∠R, ∠D=∠P, ∠C=∠Q& BA=SR , AD=RP, DC=PQ, BC=SQ

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given here: Two figures BADC and SRPQ

They are congruent trapezoids thus Two angles are congruent if and only if they have equal measures. Two segments are congruent if and only if they have equal measures.

Thus ∠B=∠S , ∠A=∠R, ∠D=∠P, ∠C=∠Q

Also BA=SR , AD=RP, DC=PQ, BC=SQ

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Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

Answers to both subparts are shown:

So, (A) fraction of the game Tim wins:

Then, the fraction will be:

(B) Games Tim wins in 30 games.

So, a number of games won:

Therefore, answers to both subparts are shown:

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The correct question is shown below:

(A) tim played 20 games of draughts he won 16 of those games.what fraction of the game did he win

b) he played 30 more games he had then 68% of all his games how amny of 30 games did he wi

The mean of the given data is 194.25 and the standard deviation from the given data is 18475.6875.

(a) Given that, the size of rocks at both 5 m and 25 m from the base of the cliff.

Using given mean and standard deviation formulae, we get

Here, mean=3885/20

= 194.25

Standard deviation=369513.75/20

= 18475.6875

Therefore, the mean of the given data is 194.25 and the standard deviation from the given data is 18475.6875.

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The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.

Answer:

.......

The maximum height reached by the pop fly is approximately 3.27 meters.

How to find the maximum height reached by the pop fly?

The equation h(t) = -4.9t^2 + 8t + 1 models the height in meters of a pop fly hit in a baseball game as a function of time in seconds.

The coefficient of t^2 is negative (-4.9), which means that the graph of this function is a downward-facing parabola. This makes sense, as the ball will start at a certain height and then be pulled down by gravity as it moves through the air.

The coefficient of t is positive (8), which means that the height of the ball is increasing at first. This makes sense, as the ball is gaining altitude after being hit.

The constant term (1) represents the initial height of the ball when it was hit.

To find the maximum height reached by the pop fly, we can find the vertex of the parabola. The x-coordinate of the vertex is given by -b/2a, where a is the coefficient of t^2 and b is the coefficient of t. In this case, a = -4.9 and b = 8, so the x-coordinate of the vertex is:

x = -b/2a = -8/(2*(-4.9)) = 0.8163

To find the corresponding y-coordinate, we can plug this value of t into the equation:

h(0.8163) = -4.9(0.8163)^2 + 8(0.8163) + 1 = 3.27

Therefore, the maximum height reached by the pop fly is approximately 3.27 meters.

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To determine which point could be on the line that is perpendicular to Line MN and passes through point K, we need to analyze the slopes of the two lines.

First, let's find the slope of Line MN using the given points (2, 3) and (-3, 2):

Slope of Line MN = (2 - 3) / (-3 - 2) = -1 / -5 = 1/5

Since the lines are perpendicular, the slope of the perpendicular line will be the negative reciprocal of the slope of Line MN. Therefore, the slope of the perpendicular line is -5/1 = -5.

Now let's check the given points to see which one satisfies the condition of having a slope of -5 when passing through point K (3, -3):

For point (0, -12):

Slope = (-12 - (-3)) / (0 - 3) = -9 / -3 = 3 ≠ -5

For point (2, 2):

Slope = (2 - (-3)) / (2 - 3) = 5 / -1 = -5 (Matches the slope of the perpendicular line)

For point (4, 8):

Slope = (8 - (-3)) / (4 - 3) = 11 / 1 = 11 ≠ -5

For point (5, 13):

Slope = (13 - (-3)) / (5 - 3) = 16 / 2 = 8 ≠ -5

Therefore, the point (2, 2) could be on the line that is perpendicular to Line MN and passes through point K.

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Answer:

Step-by-step explanation:

Comment

The first thing you ought to notice is that the original shape is a rectangle, with 2 of the y coordinates of the 4 points of 1. What that statement means is that two of the points (1,1) and (3,1) both sit on the line y = 1. they don't move. The other two points do move and they form a circular shape. So what you are going to get is a cylinder.

Answer: cylinder

Answer: 345

Step-by-step explanation: the alls

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{15}\) = \(\frac{1}{2}\) ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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The graph of the sine function f(x) = sin(400πx) is given by the image at the end of the answer.

The sine function in this problem is defined as follows:

f(x) = sin (y × 2πx).

In which the relevant variable for the graph is the variable y, which is the number of cycles in a single second of the wave.

In this problem, it is states that the note has a frequency of 440 Hz, meaning that it has 440 cycles in one second, thus the equation is:

f(x) = sin (440 × 2πx).

f(x) = sin (880πx).

The function is not multiplied by any value, hence the amplitude is of 1, meaning that the function oscillates between 0 and 1, and also there is not any phase shift or vertical shift, meaning that it oscillates between -1 and 1 starting at the origin.

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Answer:

x= 16.5

Hope this helps bye ─=≡Σʕっ•ᴥ•ʔっ

Answer:

Step-by-step explanation:

-4.5 = -0.5 (x - 7.5)                        Remove the brackets on the right

-4.5 = -0.5x  + (-0.5)(-7.5)            

-4.5 = -0.5x + 3.75                        Subtract 3.75 from both sides

-4.5 - 3.75 = - 0.5x                        Combine the left.

- 8.25 = - 0.5x                               Divide by - 0.5

- 8.25 / - 0.5 = x

x = 16.5

Typo.

Answer:

\(\huge\boxed{\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%}\)

Step-by-step explanation:

Two ways.

1. Convert to the decimal:

\(\dfrac{4}{7}=4:7=0.\overline{571428}\\\\\dfrac{5}{8}=5:8=0.625\\\\0.7=0.7\\\\72\%=\dfrac{72}{100}=0.72\)

therefore

\(0.\overline{571428}<0.625<0.7<0.72}\)

\(\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%\)

2. Convert to the fractions with common denominator.

\(\dfrac{4}{7};\ \dfrac{5}{8}\\\\0.7=\dfrac{7}{10}\\\\72\%=\dfrac{72}{100}=\dfrac{18}{25}\)

\(LCD=7\cdot8\cdot5\cdot5=1400\\\\\dfrac{4}{7}=\dfrac{4\cdot200}{7\cdot200}=\dfrac{800}{1400}\\\\\dfrac{5}{8}=\dfrac{5\cdot175}{8\cdot175}=\dfrac{875}{1400}\\\\0.7=\dfrac{7}{10}=\dfrac{7\cdot140}{10\cdot140}=\dfrac{980}{1400}\\\\72\%=\dfrac{72}{100}=\dfrac{72\cdot14}{100\cdot14}=\dfrac{1008}{1400}\\\\\dfrac{800}{1400}<\dfrac{875}{1400}<\dfrac{980}{1400}<\dfrac{1008}{1400}\)

therefore

\(\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%\)

Answer:

11 THE ANSWER IS 11 ELEVEN