Select the prime factors of 204.
A. 2 x 17
B. 6 x 17
C. 2 x 3 x 17
D. 2 x 2 x 3 x 17

Answer 870.15

Step-by-step explanation:

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer:

$42.90

Step-by-step explanation:

You do 21.45 x 2, or you can add 21.45+ 21.45

This is because it was only two people, Kayla and her best friend.

Answer:

The answer is the first option.

Step-by-step explanation:

I used a site to help

Answer:

45°

Step-by-step explanation:

In a triangle there is 180°, which means that if there's 1 right angle that takes away 90° which means that you're left with 90° and since there are 2 angles left you divide 90° by 2 to get 45° which means that angle A is 45°.

The dot plot with the least variability is the box plot B

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

The dot plots A to D

By definition, the dot plot with the least variability is the dot plot with the least spread

From the list of options, we can see that

The dot plot B has the least spread with a range of 2

Hence, the dot plot with the least variability is B

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She will lay sod over area of 925.02 square feet of 3/4 of circle and triangle.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Now,

Sod will be laid over=3/4*circle + on triangle

=3/4*πr^2+1/2*base*height

=3/4*3.14*18*18+1/2*18*18

=763.02+162

=925.02 square feet

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Answer:

12??

Step-by-step explanation:

Answer:

In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.

The person will need approximately 0.55 gallons of paint to paint the room.

To calculate the amount of paint needed, we need to first calculate the surface area that will be painted. The person will paint four walls and the ceiling of the room.

To calculate the surface area of the walls, we need to find the area of each wall and add them together. Since the room is rectangular, each wall has the same height of 8 ft. The width and length of each wall are:

- Wall 1: 9 ft x 8 ft = 72 ft²
- Wall 2: 9 ft x 8 ft = 72 ft²
- Wall 3: 2 ft x 8 ft = 16 ft²
- Wall 4: 2 ft x 8 ft = 16 ft²

The total surface area of the walls is: 72 ft² + 72 ft² + 16 ft² + 16 ft² = 176 ft²

To calculate the surface area of the ceiling, we need to find the area of the rectangle that represents the ceiling. The length and width of the ceiling are:

- Ceiling: 9 ft x 2 ft = 18 ft²

Therefore, the total surface area that will be painted is: 176 ft² + 18 ft² = 194 ft²

Since we know the surface area that will be painted, we can now calculate the amount of paint needed. The amount of paint needed depends on the type of paint and the manufacturer's instructions. Generally, paint coverage is measured in square feet per gallon. If we assume a coverage of 350 square feet per gallon, then the person will need:

- 194 ft² / 350 ft²/gal = 0.55 gallons of paint

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The survey question that would produce a qualitative response is one that asks about qualities or attributes.

A qualitative response is a non-numeric response that describes the characteristics or qualities of something.

In a survey, a qualitative question typically asks about opinions.

Attitudes, behaviors, or other non-measurable factors.

Out of the following survey questions, the one that would produce a qualitative response is:

"What is your favorite food in the cafeteria?"

This question is asking for a subjective opinion, which is a qualitative response. The response could vary from student to student and cannot be quantified numerically.

A qualitative response is a response that is based on qualities or attributes, rather than numerical or measurable data.

Out of the listed questions, the survey question that would produce a qualitative response is:

What is your favorite color?

This question asks about a personal preference, which cannot be measured numerically. The response would be a word or phrase indicating the color, which is a qualitative attribute.

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decimal form

119.571428571

fraction form

119571428571/1000000000

Have a nice day

hope this attachment relates to you

Using the lattice addition method, addition of the numbers is explained.

The given problem is: 3443 + 5362.

To add these numbers using the lattice addition method, we follow these steps:

Step 1: Write the two numbers to be added in a lattice with their digits arranged in corresponding columns.

   _    _    _    _   | 3 | 4 | 4 | 3 |

  | 5 | 3 | 6 | 2 |   -   -   -   -  

Step 2: Multiply each digit in the top row by each digit in the bottom row.

Write the product of each multiplication in the corresponding box of the lattice.

   _     _    _    _  | 3 | 4 | 4 | 3 |  

| 5 | 3 | 6 | 2 |   -   -    -    -  

|15| 9| 12 | 6|

|20|12|16|8|

| 25 | 15 | 20 | 10 |    -    -    -    -

Step 3: Add the numbers in each diagonal to obtain the final result:

The final result is 8805.

  _     _    _    _  | 3 | 4 | 4 | 3 |

 | 5 | 3 | 6 | 2 |   -   -    -    -

|15| 9| 12 | 6|

|20|12|16|8|

| 25 | 15 | 20 | 10 |   -    -    -    -  

| 8 | 8 | 0 | 5 |

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Answer:

.91% he wa off by .91% because .91 of 300 is 25 and 300- 25 is 275

Step-by-step explanation:

The correct list of functions ordered from 0 ≤ x ≤ 3 is:

h(x) = sin(x) < f(x) = x^2 < g(x) = 2x + 1 < k(x) = e^x

Line connecting the interval's endpoints in order to compute the average rate of change for each function over range 0 x 3.

For f(x) = x^2, the slope between x = 0 and x = 3 is:

\((f(3) - f(0)) / (3 - 0) = (9 - 0) / 3 = 3\)

For g(x) = 2x + 1:

\((g(3) - g(0)) / (3 - 0) = (7 - 1) / 3 = 2\)

For h(x) = sin(x):

\((h(3) - h(0)) / (3 - 0) = (sin(3) - sin(0)) / 3\) ≈ 0.279

For k(x) = e^x, the slope between x = 0 and x = 3 is:

\((k(3) - k(0)) / (3 - 0) = (e^3 - 1) / 3\) ≈ 6.076

Therefore, correct list of functions ordered from least to greatest by average rate of change over the interval 0 ≤ x ≤ 3 is:

\(h(x) = sin(x) < f(x) = x^2 < g(x) = 2x + 1 < k(x) = e^x\)

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--The complete Question is, Consider the following four functions:

f(x) = x^2

g(x) = 2x + 1

h(x) = sin(x)

k(x) = e^x

What is the correct list of functions ordered from least to greatest by average rate of change over the interval 0 ≤ x ≤ 3? --

Answer:

stop rushing me aaaaaaaaaahhhhhhhh

Step-by-step explanation:

Answer:

I don't know the answer please

Answer:

1) I can use the hours and number of packages to help solve the problem

2) I go to the number 3 and go up from there (answer 45)

3) the packages a driver can deliver in a 7 hour day is 105

4)divided 15 from 120

Step-by-step explanation:

1) question 4) you find out how much packages he deilivers in an hour

2) question 4) its 15

3) question 4) divided 10 from 120 :)

Answer:

a. 5 ones

b.8 hundreds

c.9 thousandths

d.1 tenths

e. 7 hundreths

f. 1 millions

hope that helps you

One is a head of the other

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

f(x)=21

g(x)= x^3+x^2

Step-by-step explanation:

The method of induction is a mathematical proof technique that involves showing that a statement holds for a base case, and then showing that if it holds for n, it also holds for n+1. This process is repeated until the statement is shown to hold for all positive integers.

This statement can be proven by induction.

Base Case:

For n = 1, there are 3 airports. Let the 3 airports be A, B, and C. If an airplane from airport A is heading towards airport B, then the airplane from airport B must be heading towards airport C, and the airplane from airport C must be heading towards airport A. Hence, there is no airport that none of the airplanes are heading towards.

Inductive Step:

Assume that the statement holds for n = k, where k is a positive integer.

We need to prove that the statement holds for n = k + 1, where there are 2(k + 1) + 1 = 2k + 3 airports.

Let the 2k + 3 airports be A1, A2, ..., A2k + 3. Without loss of generality, let the airplane from airport A1 be heading toward airport A2.

Since the distances between any two airports are all different, we have two cases to consider:

If there exists an airport Ai, such that Ai is the closest airport to A1, then airplanes from Ai must be heading towards A1.

If there is no airport Ai that is closest to A1, then there must be the closest pair of airports, say Ai and Aj, such that Ai is the closest to A1 and Aj is the closest to Ai.

In the first case, none of the airplanes are heading towards Ai, and in the second case, neither Ai nor Aj is the closest airport to any other airport. Hence, in both cases, there is an airport that none of the airplanes are heading towards.

By induction, the statement holds for all positive integers n.

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The statement about the probability of temperatures falling below 32°F in Maine in January, that is true, is B. The probability is 100.

Probability is a measure between 0 and 100 % or 0 and 1 that measures the likelihood of something happening. Probabilities that are closer to 1 or 100 % are more likely than not to happen.

Maine has a cold climate in the winter and January is a winter month. This means that there is a hundred percent chance that in January, the temperatures will fall below the temperature of 32 ° F, is 100 %.

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Full question is:

Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32°F in Maine during the month of January is most likely true?

Answer:

 D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.

Step-by-step explanation:

First let's examine the given equations

\(\displaystyle \rm\\(x -70)^2 + (y-77)^2 = 5184 ............. (1)\\y = -4x^2 + 40x + 50 ............... (2)\)

Equation (1) is of the form of a standard equation for a circle
\(\displaystyle \rm (x-a)^2 + y-b)^2 = r^2\\\\\)

where (a, b) is the center of the circle and r is the radius

Equation (2) is the standard equation of a parabola
y = ax² + bx + c where a, b and c are constant

So we know that the Ferris wheel motion is circular while the slingshot motion is parabolic

Let's compute the highest point at which the Ferris wheel reaches.

Given,  

\(\displaystyle (x-70)^2 + (y-77)^2 = 5184\)
We can see that r² = 5182 by comparing it to the circle equation\(\displaystyle x_v=-\dfrac{40}{2\left(-4\right)}\)

Therefore r = √5184 = 72. The diameter = 144 which is the highest point vertically from the center of the circle

The highest point on the circle = 144 + 5= 149 m since there is a 5' gap between the Ferris wheel and the ground at the lowest point so that has to be taken into account

For the parabola the vertex is the highest point and its x-coordinate given by   \(\displaystyle \dfrac{-b}{2a}\)    in the standard equation for a parabola

Comparing the given equation with the standard equation we see that a = -4, b = 40 and c= 50

Therefore \(x_v\) the x-coordinate of the vertex:
\(\displaystyle x_v=-\dfrac{40}{2\left(-4\right)} = 5\)

The y coordinate of the vertex can be found by plugging in this value into the parabolic equation

\(\displaystyle y_v=-4\cdot \:5^2+40\cdot \:5+50 = 150\)

This being the vertical coordinate of vertex of the parabola, the highest point that the slingshot reaches is 150'

So correct answer is D

Answer:

V =36000 pi cm^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

We know the radius is 30

V = 4/3 pi (30)^3

V = 4/3 pi (27000)

V =36000 pi cm^3

In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

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Using the R and S be arbitrary rings their Cartesian product is a ring if we define addition and multiplication in R x S.

The set of all ordered pairs/n-tuples of the sets is the cartesian product of two or more sets. Set theory is where it is used the most frequently. A deck of cards, chess sets, computer graphics, and other cartesian products can also be used to represent a variety of real-world items. Computers display the majority of digital images as pixels, which are graphical representations of cartesian products.

1. (r,s)x(r',s')=(r+r', s+s'). Because we know R and S are rings, it follows that r+r' and s+s' must be in R and S, respectively, which follows that

(r,s)x(r',s')=(r+r', s+s') is in RxS, so RxS is closed under addition.

((r,s)x(r',s'))x(r'',s'') = (r+r', s+s')x(r'',s'')=(r+r'+r'', s+s'+s'')=(r,s)x(r'+r'', s'+s'')=(r,s)x((r',s')x(r'',s'')), so addition is associative.

(r,s)x(0,0)=(r+0,s+0)=(0+r,0+s)=(0,0)x(r,s)=(r,s), so (0,0) serves as an additive identity (note that the first 0 is the additive identity in R, and the second is the identity in S).

=(r'+r,s'+s)=(r',s')x(r,s). Therefore, addition is commutative, and furthermore, RxS is an abelian group under the defined addition.

2.  (r,s)(r',s')=(rr',ss'). Because we know R and S are rings, it follows that rr' and ss' must be in R and S, respectively, which follows that (r,s)(r',s')=(rr', ss') is in RxS, so RxS is closed under multiplication.

((r,s)(r',s'))(r'',s'') = (rr', ss')(r'',s'')

=(rr'r'', ss's'')

=(r,s)(r'r'', s's'')

=(r,s)((r',s')(r'',s'')), so multiplication is associative.

(r,s)(1,1)=(r1,s1)=(1r,1s)=(1,1)(r,s)=(r,s), so (1,1) serves as the multiplicative identity (note that the first 1 is the multiplicative identity in R, and the second is the identity in S).

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If Danny scores two standard deviations below the mean then, the percentile of Danny is 68.27%.

The mean (also known as average), is obtained by dividing the sum of observed values by the number of observations, n. Although data points fall above, below, or on the mean, it can be considered a good estimate for predicting subsequent data points. The standard deviation gives an idea of how close the entire set of data is to the average value. Data sets with a small standard deviation have tightly grouped precise data. Data sets with large standard deviations have data spread out over a wide range of values.

Assuming a normal distribution, the empirical rule 68–95–99.7, determines that the percentage of students that score within one standard deviation of the mean is 68.27%, the percentage within two standard deviations is 95.45% and within 3 standard deviations is 99.73%.

Therefore, If Danny scores two standard deviations below the mean then, the percentile of Danny is 68.27%.

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