Translate the point A (-3,4) right 5 up 1

The 205th term of the given geometric sequence is given by 6

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Given here: The first term of a given geometric sequence as 6 and second term -6.

Thus clearly we can deduce that the common ratio of the sequence is given by -1

Therefore the geometric sequence has two elements that are alternating sequence of the form 6,-6,6,-6,6.........

Therefore the 205th term of the sequence will be given by

T₂₀₅=6×-1²⁰⁵⁻¹

       =6×1

        =6

Hence, The 205th term of the given geometric sequence is given by 6

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If you consider the vertical line test (a graph represent a function is a vertical line crosses the curve of the function only once), you can consider that a vertical line at x=5 crosses the curve at two points.

Then, you can conclude that the given relation is not a function.

The domain are the set of x values with points on the curve. In this case:

domain = [2 , oo)

The range are the set of y values with points on the curve. In this case:

range = (-oo , oo)

The statement "90% of dentists recommend sugarless gum for their patients who chew gum" is a conditional probability statement.

A conditional probability statement expresses the likelihood of an event (in this case, dentists recommending sugarless gum) given that a specific condition is satisfied (patients who chew gum). The statement indicates that among the dentists surveyed, 90% of them recommend sugarless gum specifically for patients who chew gum.

In this case, the condition is that the patients chew gum. The probability of dentists recommending sugarless gum is stated to be 90% under this condition. It implies that if a patient chews gum, there is a 90% chance that their dentist would recommend sugarless gum.

Conditional probability statements are useful in understanding the likelihood of events based on certain conditions or circumstances. They allow us to assess the probability of an outcome given that a specific condition is met, providing valuable information in various fields, including healthcare and decision-making.

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Answer:

Brand A : $0.04 , Brand B : $0.05.. In my opinion i would go for brand b because for 1 cent more you get 54 more spoons.

Step-by-step explanation:

By using the division method,

The unit price of the Brand A spoon is $0.035

And, the unit price of the Brand B spoon is $0.052

Used the concept of division for finding the unit price for each brand which states that,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

Goran needs to buy plastic spoons.

Brand A has a box of 42 spoons for $1.49.

And, Brand B has a box of 96 spoons for $4.98.

Hence, the unit price of the Brand A spoon,

\(\dfrac{\$1.49}{42}\)

\(= \$0.035\)

And, the unit price of the Brand B spoon,

\(\dfrac{\$4.98}{96}\)

\(= \$0.052\)

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Answer:

7.20

Step-by-step explanation:

I took 18/5 and got 3,60 and then multiplied that by 2.

The image point of (4,-7) after a translation right 4 units and up 5 units is; (8, -2)

When we translate an image a units to the right, it means that we add a units to the x-coordinate from which it was translated. However, when we translate an image b units upwards, it means that we add b units to the y-coordinate from which it was translated

Now, we are told that the image point of (4,-7) after a translation right 4 units and up 5 units. Thus, applying the translation rule above, we have;

(4 + 4),  (-7 + 5)

⇒(8, -2)

Thus, we conclude that the image point of (4,-7) after a translation right 4 units and up 5 units is; (8, -2)

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Answer:

This doesn't make any sense. Don't know what you're looking for but here is the formula if needed: A= 1/2h (b^1+b^2)

Answer:

7 hours

Step-by-step explanation:

The volume of the regular pentagonal prism is approximately 1285.5 cubic centimeters.

The formula for the volume of a regular pentagonal prism is:

V = (5/2) × apothem² × height × sin(72°)

Given that the required apothem is of 6.9 cm and the height is 8 cm, we can plug in these values into the formula:

V = (5/2) × (6.9)² × 8 × sin(72°)

V = (5/2) × 47.61 × 8 × 0.9511

V ≈ 1285.5 cubic centimeters

Therefore, we can say that the volume of the regular pentagonal prism is approximately 1285.5 cubic centimeters.

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Complete Question:

Find the volume of the following regular pentagonal prism, if the apothem is 6.9 cm and the height of the prism is 8 cm. Round your final answer to the nearest tenth if necessary.

Answer:

-3x + 36

Step-by-step explanation:

The first step is to distribute the -3 to (x - 8), like so:

12 - 3(x - 8)

12 - 3x + 24

Add like terms (12 and 24):

12 + 24 = 36

-3x + 36

Answer:

3/32

Step-by-step explanation:

The slope is found by

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

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

Answer:

A = 8.2462112512353

I hope it's helps you

The volume of the remaining piece of ice cube is 6911.5 cubic cm

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

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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Answer:

$(1.08)(w-35)

Step-by-step explanation:

The list price of the camera is w dollars.

Dylan bought the camera for $35 less than the list price, so the price he paid before tax is (w - 35) dollars.

The sales tax is 8%, which can be expressed as a decimal by dividing by 100: 8/100 = 0.08.

To find the amount of sales tax, multiply the price before tax by the tax rate: (w - 35) * 0.08.

Add the sales tax to the price before tax to find the total amount Dylan paid: (w - 35) + (w - 35) * 0.08.

Factor out (w - 35) to simplify the expression: (1 + 0.08)(w - 35).

Calculate 1 + 0.08 = 1.08.

The final expression for the amount Dylan paid, including sales tax, is (1.08)(w - 35) dollars.

Answer:

f(-2)=-12

f(3)= -2

Step-by-step explanation:

f(x) is original form

So for f(-2) we find where x is -2 and in this case f(x) is -12

And for f(3) we do similar but since x=3 isn’t on the table we see a pattern that whne x goes up one f(x) adds 2 so 3 is -2

Hopes this helps

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer:

The Correct Answer is :

y=8/9-8x/9

9y + 8x = 8

-8x -8x

9y = -8x + 8

Divide both sides by 9

y = -8x/9 + 8/9

Given, On a common IQ test, the mean score is 100 with a standard deviation of 15To find, The probability that a randomly selected individual gets a score of 105 or higher Solution: Standard score can be calculated as z = (X - μ) / σwhere X is the raw score, μ is the mean, σ is the standard deviation z = (105 - 100) / 15z = 0.3333

Probability (p) of z can be calculated as: p = P(Z > 0.3333)We know that the standard normal distribution is symmetrical. Hence the area to the right of the mean is equal to the area to the left of the mean plus mean itself is 0.5.P(Z > 0.3333) = 0.5 - P(Z < 0.3333)Using standard normal distribution table, the value of P(Z < 0.3333) = 0.6293P(Z > 0.3333) = 0.5 - P(Z < 0.3333)= 0.5 - 0.6293= -0.1293

Since probability cannot be negative, the answer is 0. Hence the probability that a randomly selected individual gets a score of 105 or higher is 0. The probability that a randomly selected individual gets a score of 105 or higher is 0.More than 100 words: An IQ test is intended to determine a person's intelligence. Standardizing IQ tests allows comparison of scores from different IQ tests. A normal distribution is a bell-shaped curve where most values lie near the mean value. This means that, if a test follows a normal distribution, most people score close to the mean, with fewer scoring at the lower and higher ends. On a common IQ test, the mean score is 100, and the standard deviation is 15. A standard score (z-score) is calculated by subtracting the mean from a raw score and dividing by the standard deviation. The formula for calculating z-score is: z = (X - μ) / σFor instance, to calculate the z-score of a person who scores 105, the z-score formula is: z = (105 - 100) / 15 = 0.3333The standard normal distribution table can be used to look up the probability of a z-score being higher or lower than a particular value. In this case, we want to find the probability of a score of 105 or higher. Therefore, we need to find the area to the right of the z-score of 0.3333.

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Answer:

b

Step-by-step explanation:

Answer:

B. 439.

Step-by-step explanation:

7 * (6 + 2)^2 - 3^2

= 7 * 8^2 - 9

= 7 * 64 - 9

= 448 - 9

= 439.

Hope this helps!

\(-8 < -2t+1 < -1\implies -8-1 < -2t+1-1 < -1-1 \\\\\\ -9 < -2t < -2\implies \stackrel{\textit{notice, division by -2}}{\cfrac{-9}{-2}\stackrel{\downarrow }{ > }\cfrac{-2t}{-2}\stackrel{\downarrow }{ > }\cfrac{-2}{-2}}\implies \cfrac{9}{2} > t > 1\)

\(4\frac{1}{2} > t > 1\implies \begin{cases} t < 4\frac{1}{2}\\\\ t > 1 \end{cases}\hspace{5em}\stackrel{\textit{valid integers for "t"}}{2~~,~~3~~,~~4} \\\\[-0.35em] ~\dotfill\\\\ 4(2)-2\implies \text{\LARGE 6}\hspace{5em}4(3)-2\implies \text{\LARGE 10}\hspace{5em}4(4)-2\implies \text{\LARGE 14}\)

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

\(\tan\theta =\dfrac{Opposite}{Adjacent}\)

In the given triangle,

\(\tan (60^\circ) =\dfrac{18}{x}\)

\(\sqrt{3}=\dfrac{18}{x}\)

\(x=\dfrac{18}{\sqrt{3}}\)

\(x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}\)

On further simplification, we get

\(x=\dfrac{18\sqrt{3}}{3}\)

\(x=6\sqrt{3}\)

\(x=10.3923\)

\(x\approx 10.4\)

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Answer:

a = 11

Step-by-step explanation:

a + 8 = 19

=> a = 19 - 8

=> a = 11

main answer:  YES,the image formed is reflection from the origin is same

supporting answer :A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position. The original image is referred to as the pre-image, and its reflection is referred to as the image. The pre-image and image are represented by ABC and A'B'C', respectively. The reflection transformation can be applied to the coordinate system (X and Y).

body of the answer: given the ponts p(1,2)

              p⁰=(-1,-2)

              p¹=(1,-2)

              p¹¹=(-1,-2)

here p⁰=p¹¹

final answer: therefore the image formed is reflection from the origin is SAME

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YES, the image formed is reflection from the origin is same.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position. The original image is referred to as the pre-image, and its reflection is referred to as the image. The pre-image and image are represented by ABC and A'B'C', respectively. The reflection transformation can be applied to the coordinate system (X and Y).

Given the points p(1,2)

p⁰=(-1,-2)

p¹=(1,-2)

p¹¹=(-1,-2)

here p⁰=p¹¹

Therefore the image formed is reflection from the origin is SAME

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Answer:

814

Step-by-step explanation:

A=2(wl+hl+hw)

=2((11×22)+(5×22))+(5×11))

= 814

The probability of the sample having a average gas mileage between 27 and 29 miles per gallon will be 0.0116.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

In 2015, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.

Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be

The value of the z-score at x = 27, we have average as

The value of the z-score at x = 29, we have

z= 0.16

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Answer:

$149.40

Step-by-step explanation:

The original value of the bike is worth 100%, and this is $166.00.

Let's work out 10%

To this, we divide the original amount by 10 (100% ÷ 10= 10%),

\(166.00 / 10 = 16.60\)

So now, we know that 10% = 16.60.

So, to get this to 90%, we multiply this value by 9 (10% × 9 = 90%),

\(16.60 * 9 =149.4\)

This means that the sale price at 90% is equal to $149.40.