What is the value of the three in 5,409.367?

Step-by-step explanation:

It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.

The difference between final position and the initial position is equal to displacement. It is the shorted path covered.

Let forward is +x and backward is -x

Initial position of Katie = +2 ft

Final position of Katie = -5 ft

Displacement = final position - initial position

= -5 - 2

Displacement = -7 ft

So, her displacement is 7 feet in backward direction.

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

a grocery store

Step-by-step explanation:

it seems strange that most of those would request a report card at all

8y - 16 = 8y

Since both sides of the equation are equal, we have an infinite number of solutions. However, none of the given options represent an infinite solution. Therefore, there seems to be an error in the provided answer choices.

Determine whether the given ordered pair is a solution of the system.
(4, -3)
x+y=-7
x-y = -1

To test the ordered pair (4, -3), substitute x=4 and y=-3 into both equations:

1) 4 + (-3) = -7
  1 ≠ -7

Since the ordered pair does not satisfy the first equation, we can conclude that:

A) not a solution

Solve the system of equations by the substitution method:
2y = x + 4
4x = 8y = 0

Since the second equation should be 4x = 8y, we can rewrite the system as:

1) 2y = x + 4
2) 4x = 8y

Rearrange equation 1 to get x in terms of y:

x = 2y - 4

Substitute this expression for x into equation 2:

4(2y - 4) = 8y

Solve the resulting equation for y:

8y - 16 = 8y

Since both sides of the equation are equal, we have an infinite number of solutions. However, none of the given options represent an infinite solution. Therefore, there seems to be an error in the provided answer choices.

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Step-by-step explanation:

-11≤p<-4

it may help you to understand

The coefficient of determination or R² is a statistic that measures the correlation between a regression line and a set of points. It represents how much of the variation in the dependent variable is explained by the independent variable in a linear regression model.

It's a number between 0 and 1, and the closer it is to 1, the better the model fits the data. To calculate R², the formula is:

R² = 1 - (SSres/SStot),

where SSres is the sum of squared residuals (the difference between the predicted and actual values) and SStot is the total sum of squares (the difference between each value and the mean).

In the given problem, we have a regression equation of ŷ = 2.9x – 34.7, which means that the predicted value of y (or ŷ) is equal to 2.9 times x minus 34.7.

To predict the value of y when x = 44, we can substitute the value of x into the equation and solve for ŷ:

ŷ = 2.9(44) - 34.7ŷ = 127.3

Therefore, when x = 44, the predicted value of y is 127.3.

To calculate the coefficient of determination, we need to know the sum of squared residuals and the total sum of squares, which we can find using the original data set.

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Answer:

It's not a right triangle because \(16^{2} + 18^{2} > 24^{2}\)

Step-by-step explanation:

\(16^{2} + 18^{2} > 24^{2}\)

\(16^{2} = 256\\\\18^{2} = 324\\\\256 + 324 = 580\\\\580>24^{2} \\\\24^{2} = 576\\\\580>576\)

Hope this helped!!!!!

After reading the sonnet given above, it can be concluded that the structure of the sonnet adds to the meaning of the poem, as it shows a contrast or shift between two different emotions. Therefore, the option C holds true.

What is the significance of a sonnet's structure?

One of the most well-known forms of English poetry is the sonnet. Poems can be classified as belonging to one of several poetry forms, each of which has its own "laws" and is linked to specific themes.

                           In the past, poets have utilized the structure of the sonnet to examine the nuanced nature of romantic love, which has long been associated with the word "desire."

What is the construction of a sonnet?

A sonnet is a 14-line poetry with one central theme or concept that is reflected upon. Most of the time, the problem is solved by the end of a turn, or "volta," that begins approximately 8 lines in.

                                  Iambic pentameter and the rhyme scheme ABAB CDCD EFEF GG are both used in Shakespearean sonnets, but none of that should cause you undue concern.

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Answer:

Step-by-step explanation:

Answer:

392in

Step-by-step explanation:

find the areas of all the sides of this shape. Of one you might have to split it into two shpaes.

Answer: \(7.93\)

Step-by-step explanation:

Given

\(f(x)\) is an exponential function. Suppose \(f(x)\) is \(ae^{bx}\)

\(f(1.5)=5\ \text{and}\ f(7.5)=79\)

\(\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)\)

Similarly,

\(\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)\)

Subtract (i) and (ii)

\(\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066\)

Insert the value of \(b\)

\(\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16\)

So, the function becomes

\(\Rightarrow f(x)=3.16e^{0.3066b}\)

\(\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93\)

Answer:

7.93

General Exponential Form: y=ab^x

Plug in both points

divide the equations

cancel out a, subtract exponent of b

Answer:

The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)

Step-by-step explanation:

When conducting a 180 degree rotation, you can just reverse the points to get your answer.

The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.

Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph

here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.

Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

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The conditions for inference has been not met the sample wasn't chosen using a random method.

Sample mean , μ = 11.50

Total people estimated, x = 41

Mean sale increases by 10 per day

z = x - μ / σ

z = 41 -11.5/10

z = 2.95

Necessary condition for inference is

Three necessary conditions must be met to do inference are -

The randomness of the sample,

The distribution should approximate the normal distribution

The samples taken and their observations need to be independent of each other.

Selection cannot be selected randomly because specific group of people are selected

Hence, No, the sample was not chosen using a random method.

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The question is incomplete the complete question is :

question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.

B. No, the sample was not chosen using a random method.

C. No, the sample size is greater than 10 percent of the population.

D. No, the sample size is not large enough to assume normality of the sampling distribution.

E. No, the distribution of the sample is not normal.

Answer: it’s C

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.

Step-by-step explanation:

Distance = rate times time

Both motorcycles have a time of 3.  We do not know the rates, but we know that one motorcycle's rate was 8 miles an hour faster.  Let's call motorcycle 1's rate x then motorcycle 2's rate must be (x + 3)

Motorcycle 1

d = 3x

Motorcycle 2

d = 3(x +8)

We know that the total distance together is 288

3x + 3(x+8) = 288  Distribute the 3

3x + 3x + 24 = 288  Combine the 3's

6x + 24 = 288  Subtract 24 from both sides of the equation

6x = 264  Divide both sides by 6

x = 44

One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.

Answer:

\(factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer\)

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.

Given that,

We have to find how will the results of a chi-square test be affected if there is a significant discrepancy between the expected and observed frequencies.

We know that,

If the observed values and expected values have a large difference then the chi-square value will be in large quantity that provides evidence against the null hypothesis and explain the huge difference between the sample data and null hypothesis.

The Chi-square statistic is,

X²=Σ i,j=0 to n (O i, j-E i,j)²/E i,j

Where,

O is the observed frequency value.

E is the Expected frequency value.

Therefore, Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.

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The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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Answer:

0.111... cups

Step-by-step explanation:

Set the two quantities equal to each other

4 cups = 36 ounces

Notice it says "every ounce",

so we're looking for how many cups are needed for "1 ounce of parm"

(?) cups = 1 ounce

we know the ratio is 4 to 36

4 = 36

(?) = 1

36/(?) = 1, ? 3 = 36

find 4/36

0.111... cups

Answer:

SAS, ASA, SSS, ASA, Yes

Step-by-step explanation:

The social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical process, and extraction of roots

Main body:

Cumulative Earnings before this pay period = $128,300

pay amount this period = $3000

tax rate of 6.2% on social security = 6.2%

effective earning = 128300 = 3000

                            = 125300

social security deduction = 6.2 % of 125300

⇒ 6.2 *125300 /100

⇒$7768

Medicare deductions = 1.45%

⇒ 1.45*125300/100

⇒$1816

Hence , the social security and Medicare deductions for the following employee are  $7768 and $1816 respectively.

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Answer:

Three solutions were found :

x = 3/2 = 1.500

x = 2

x = -1

Step-by-step explanation:

Taking the profit for every bucket of popcorn and every ticket sold, the linear inequality that represents their goal is 6x + 8y ≥ 5000, as further explained below.

A linear inequality is an inequality in which two expressions or values are not equal and are connected by an inequality symbol such as >, <, ≥, or ≤. A linear inequality can have one or more variables, and it defines a range of values that satisfy the inequality.

Now, to solve the question, let x be the number of popcorn buckets sold and y be the number of movie tickets sold. The profit from selling x popcorn buckets would be 6x and the profit from selling y movie tickets would be 8y. To represent the total amount of profits required to reach the goal of $5,000, we can use the following inequality:

profit from popcorn + profit from tickets ≥ goal

6x + 8y ≥ 5000

This means that the total profits from selling popcorn and movie tickets combined should be at least $5,000. Note that this inequality assumes that there are no other costs or expenses associated with selling the popcorn and tickets.

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Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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The dimension and basis of the vector space V, where V is defined as the set of polynomials in P2 with p(0) = 0 are to be found.

Let p(x) = ax^2 + bx + c be an arbitrary polynomial in V. Since p(0) = 0, we have c = 0. Thus any polynomial in V can be written as p(x) = ax^2 + bx = x(ax + b). Therefore, the set {x(ax + b) : a, b ∈ R} is a basis for V.

To verify that this set is a basis, we need to show that it is linearly independent and spans V. Let p(x) = ax^2 + bx be a polynomial in V such that x(ax + b) = 0 for some real numbers a and b. This implies that either x = 0 or ax + b = 0 for all x in R. Since p(0) = 0, we have b = 0. Thus, the only polynomial in V that is linearly dependent on {x(ax + b) : a, b ∈ R} is the zero polynomial. Therefore, {x(ax + b) : a, b ∈ R} is a basis for V, and dim V = 2.

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Answer:

\(81+144i\)

Step-by-step explanation:

We want to simplify:
\(\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i\)

Recall that:

\(\displaystyle \sqrt{-a} = i\sqrt{a}\)

Therefore:
\(\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}\)

Note that i² = -1.

In conclusion:

\(\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i\)

Answer:

I think B is correct answer

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256