\(how \: can \: you \: use \: dimensional \: analysis \: to \: convert \: between \: measurment \: systems\)
Helppppppppp


​

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

Answer:

(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)

We know that:

v is the initial vertical velocity, and we know that it is 10ft/s

then:

v = 10ft/s.

s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:

s = 25ft

Now we can write the height as:

h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now with this equation, we can find the time it takes for the diver to hit the pool.

Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.

With that, we can find the value of t = time, that it takes for the diver to enter the pool.

h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now we can solve this with the Bhaskara equation:

\(t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}\)

We will have two solutions:

t = ((-10 + 41.23)/-32) s = -0.96s

t = (-10 - 41.23)/-32) s = 1.6 s

The negative has no physical sense, so we can discard that option.

This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.

Answer:

A = Rs 48,000

B = Rs 24,000

C = R2 8,000

Step-by-step explanation:

To solve this problem, create and solve a system of linear equations using the given information.

From the given information:

Therefore, the system of linear equations is:

\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)

Substitute the second equation into the first to create and equation for A in terms of C:

\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)

Substitute this and the second equation into the third equation and solve for C:

\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)

Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:

\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)

\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)

Therefore, the monthly income of each person is:

Answer:

33

Step-by-step explanation:

Answer:

\(g(x)=5.4x+3\), graph of f(x) vertically compressed by factor 0.6 to get g(x).

Step-by-step explanation:

The given function is

\(f(x)=9x+5\)

It is given that the graph of a function g is a  transformation of the graph of

f (x), where g(x) is 60% of  f(x). So, we need to write a rule for g.

\(g(x)=60\%\text{ of }f(x)\)

It means graph of f(x) vertically compressed by factor 0.6 to get g(x).

\(g(x)=\dfrac{60}{100}(9x+5)\)

\(g(x)=0.6(9x+5)\)

\(g(x)=0.6(9x)+0.6(5)\)

\(g(x)=5.4x+3\)

Therefore, \(g(x)=5.4x+3\). Graph of f(x) vertically compressed by factor 0.6 to get g(x).

Answer:

20%.

1.2/1.5 = 0.8

0.8*100 = 80%

100%-80% = 20%.

We can verify this:

1.5-20% = 1.2.

Answer: 20%

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\textsf{3.57}\times\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{\rightarrow 10\times10\times10}\\\mathsf{\rightarrow100\times10}\\\mathsf{\rightarrow 1,000}\\\\\textsf{3.57}\times\textsf{1,000}\\\rightarrow\textsf{3,570}\\\rightarrow\mathsf{3.57\times10^3}\\\\\huge\boxed{Answer: {\frak{3.57\times 10^3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The scenario that is an example of simple random sampling is option c. The supermarket selects every 20th customer entering the supermarket to fill out a survey, ensuring each customer has an equal chance of being selected. The correct answer is C).

The scenario that is an example of simple random sampling is option c. A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey.

Simple random sampling is a type of probability sampling in which each member of the population has an equal chance of being selected. In option c, every 20th customer entering the supermarket is selected, which ensures that each customer has an equal chance of being selected.

Options a, b, and d do not meet the criteria for simple random sampling. Option a is an example of stratified sampling, option b is an example of voluntary response sampling, and option d is an example of convenience sampling. The correct answer is option C.

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The order of these values from smallest to largest would be 0.002, 0.02, 2, 2.2, 10, 22, 100, 200, and 220.

Organization is a way of classifying specific objects according to a pre-established order so that they are easier to identify.

In this case they were different numbers and the organization given to them was in ascending order, that is, from smallest to largest. So they were in the following order:

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The intervals on which the function f(x) = ax² + bx + c (where "a" doesn't = 0) is increasing and decreasing is x>-b/2a and x<-b/2a

Given that,

We have to find the intervals on which the function f(x) = ax² + bx + c (where "a" doesn't = 0) is increasing and decreasing.

We know that,

Take the function equation,

f(x)=ax² + bx + c

The derivative of the function of x is  

f'(x)=ax+b

So, f(x) is increasing when f'(x) > 0

f(x) is decreasing when f'(x) < 0

Then we can say

f'(x) > 0 , when  b > 0  and a < 0

2ax + b < 0

2ax < - b

x<-b/2a

Now,

f'(x) < 0 , when  b < 0  and a > 0

2ax + b > 0

2ax > - b

x>-b/2a

Therefore, the intervals on which the function f(x) = ax² + bx + c (where "a" doesn't = 0) is increasing and decreasing is x>-b/2a and x<-b/2a.

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\(\\ \rm{:}\dashrightarrow 4x+1=3x\)

\(\\ \rm{:}\dashrightarrow 4x-3x=1\)

\(\\ \rm{:}\dashrightarrow x=1\)

Now

\(\\ \rm{:}\dashrightarrow 3x=3(1)=3\)

\(\\ \rm{:}\dashrightarrow 4x+1=4(1)+1=5\)

Answer:

AEB = -3

CED = -3

Step-by-step explanation:

We can make an equation and solve for x.

4x + 1 = 3x

~Subtract 1 to both sides

4x = 3x - 1

~Subtract 3x to both sides

x = -1

Now we can substitute that value of x into both angles.

4(-1) + 1 = -4 + 1 = -3

3(-1) = -3

Best of Luck!

Answer:

y=x-4

Step-by-step explanation:

I graphed this out and got the equation.

Given:

Given a circle with right triangle with

Required:

To find the length of the circle radius.

Explanation:

From the figure

Now the length of radius is

Final Answer:

The option d is correct.

Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume?

No, because the radius are different. In the first cylinder the radius is 4cm and 7cm in the second one.

The volume V of a cylinder is given by

where Pi is 3.1416, r is the radius and h is the height.

Then, the volume of cylinder 1 is

which gives

Now, the volume of cylinder 2 is

which gives

Therefore, the answer are

Answer:

4006.5

Step-by-step explanation:

4004 + 4009 = 8013

8013 ÷ 2 = 4006.5

Answer:

Hey!

Your answer is 4,006.5

Step-by-step explanation:

We get the MEAN by ADDING ALL THE VALUES UP and DIVIDING IT BY THE TOTAL AMOUNT OF SEPERATE NUMBERS!

So...

4,004 + 4,009 = 8,013

WE DIVIDE 8,013 BY 2...

8,013 / 2 = 4006.5!

Hope this helps!

Analysis of variance is used to test for equality of several population means.

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.

Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

ANOVA (Analysis of Variance) was developed by Ronald Fisher.

ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.

Therefore, Analysis of variance is used to test for equality of several population means.

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The points that he average on the last two tests will be 93 points.

A mean is the average of the set of numbers that are given.

On the first five tests that he took, he averaged 86 points. The total points will be:

= 86 × 5

= 430 points

He averaged 88 points on all seven tests. The total will be:

= (88 × 7)

= 616 points

The point average on the last two tests will be:

= (616 - 430)/2

= 186/2

= 93 points

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Answer:

a

Step-by-step explanation:

Probability distribution after two battles: Dark 1/3, Psychic 1/3, Fighting 1/3 Steady-state probability distribution: Dark 1/3, Psychic 1/3, Fighting 1/3. Probability distribution after two battles: Dark 1/4, Psychic 1/4, Fighting 1/4, Ghost 1/4. Steady-state probability distribution: Dark 1/6, Psychic 1/6, Fighting 1/2, Ghost 1/6

If Kecleon starts as the Fighting type and battles twice, the probability distribution of Kecleon's type is (1/3, 1/3, 1/3).

After many battles, the steady-state probability distribution of Kecleon's type is (1/3, 1/3, 1/3). This is because Kecleon has an equal chance of winning and losing battles against each of the other types, and so over time its type will converge to a uniform distribution.

If Kecleon starts as the Fighting type when Ghost Pokémon arrive and battles twice, the probability distribution of Kecleon's type is (1/4, 1/4, 1/4, 1/4).

After many battles, the steady-state probability distribution of Kecleon's type is (1/6, 1/6, 1/2, 1/6). This is because the presence of Ghost Pokémon alters the dynamics of the battles, causing Kecleon's type to converge to a non-uniform distribution where it is more likely to become a Psychic type due to the dominance of Ghost-type Pokémon over Fighting and Dark types.

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--The given question is incomplete, the complete question is given

" In a particular region of the Pokémon world, there are just three types of Pokémon: Dark, Psychic, and Fighting. Kecleon, the Color Change Pokémon, has the ability to change its type to blend into its surroundings. Its goal is to become the best type. It seeks to accomplish this goal by choosing a type of Pokémon to battle uniformly at random; it may choose a Pokémon of its own type. If it wins the battle, it will keep its old type. If it loses, it will take on the type of the Pokémon that defeated it. It continues this process indefinitely. For all questions assume that Dark Pokémon always defeat Psychic Pokémon, Psy- chic Pokémon always defeat Fighting Pokémon, and Fighting Pokémon always defeat Dark Pokémon. If two Pokémon of the same type battle, each has an equal chance of winning. a) Suppose that Kecleon starts as the Fighting type. After two battles, what is the probability distribution of Kecleon's type? (Your answer should be three numbers that sum to one.) b) After many (approaching infinity) battles, what is the steady-state probability distribution of Kecleon's type? (Your answer should be three numbers that sum to one.) A nearby graveyard is haunted! Ghost-type Pokemon invade the population. Assume that Ghost Pokémon always lose to Dark Pokémon, and always win against Psychic Pokémon and Fighting Pokémon. c) Suppose that Kecleon starts as the Fighting type when the Ghost Pokémon arrive. After two battles, what is the probability distribution of Kecleon's type? (Your answer should be four numbers that sum to one.) d) After many (approaching infinity) battles, what is the steady-state probability distribution of Kecleon's type? (Your answer should be four numbers that sum to one.)"--

Answer:

15, 21, 27

Step-by-step explanation:

\(a_n}\) = \(a_{1}\) + (n-1)d  

\(a_{n}\) is the number in the sequence we are looking for

\(a_{1}\)  This is the first term in the sequence that we do not know and we are looking for

n stands for the number of the term and d is the common difference.  We will put in all that we know and solve for the first term.

609 = \(a_{1}\) + (100-1)6  

609 =\(a_{1}\) + (99)6

609 = \(a_{1}\) + 594  Subtract 594 from both sides of the equation

15 = \(a_{1}\)

Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.

Answer:the first on cuz 7+10 =17 a [3-7}

Step-by-step explanation:

The table values using function rule y = -10x - 2 is (8,-2,-12,-52)

Given function

y = -10x - 2

From the table

x = -1 , 0 , 1 , 5

substitute x values in function

if x = -1

y = -10x - 2

= -10(-1) - 2

= 10 - 2

y = 8  

if x = 0

y = -10(0) -2

y = -2

if x = 1

y = -10(1) - 2

y  = -12

if x = 5

y = -10(5) -2

y = -52

y values (8,-2,-12,-52)

Table:

x      y

-1     8

0    -2

1     -12

5    -52

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Answer:

2.646

Step-by-step explanation:

You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646

Answer:

x = ±√7

Step-by-step explanation:

Symbolically, we have x^2 - 6 = 1,  and so x^2 = 7, so that x = ±√7

Answer:

first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1

Step-by-step explanation:

A geometric sequence is a type of sequence where each term is found by multiplying the previous term by a constant factor. This means that each term is a multiple of the one before it. In contrast, an arithmetic sequence is a type of sequence where each term is found by adding a constant value to the previous term.

This means that each term is a sum of the one before it and a fixed value.

To answer your question, whether a geometric sequence will always grow faster than an arithmetic one depends on the values of the constant factor and fixed value in each sequence. In general, if the constant factor in a geometric sequence is greater than 1, the terms will grow at an increasingly faster rate than in an arithmetic sequence.

However, if the constant factor is between 0 and 1, the terms will grow at a decreasing rate, meaning that the sequence will actually grow more slowly than an arithmetic one.

It's important to note that the rate of growth is not the only factor to consider when comparing geometric and arithmetic sequences. The actual values of the terms in each sequence can also differ significantly, depending on the starting term and the values of the common ratio and common difference.

In some cases, an arithmetic sequence may actually have higher values than a geometric one, even if it grows more slowly.

In summary, whether a geometric sequence will always grow faster than an arithmetic one depends on the specific values of each sequence. However, in general, if the constant factor in a geometric sequence is greater than 1, it will grow faster than an arithmetic sequence.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

3

Step-by-step explanation:

Answer:

2.67

Step-by-step explanation:

Find the number in the hundredth place

6

and look one place to the right for the rounding digit

6

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:   \(\bold{y=7cos\bigg(\dfrac{2\pi}{7}x\bigg)}\)

Step-by-step explanation:

y = A cos (Bx - C) + D

The minimum is -7 and the max is 7 so A = 7 and D = 0

Period is 7.  Since P = 2π/B then 7 = 2π/B --> B = 2π/7

Nothing was stated about a phase shift so you can use any value for C. I chose C = 0.

Now, input A = 7, B = 2π/7, C = 0, & D = 0 into the equation

\(y=7\cos\bigg(\dfrac{2\pi}{7}x-0\bigg)+0\\\\\\\text{Simplify}:\\y=7\cos\bigg(\dfrac{2\pi}{7}x\bigg)\)