The population of Albany, New York is about 98,989 and the population of Moscow, Russia is about 12,235,448. Approximately how many times greater is the population of Moscow than the population of Albany.
The population of Moscow is about :
times greater that the population of Albany.

Answer:

I suppose 6

Step-by-step explanation:

but I am not sure.....

The number of the planes in the given diagram showing rectangular cuboid represents it has total of fifteen planes.

To find the number of planes in a rectangular cuboid,

consider the different types of planes that can be formed by its faces.

A rectangular cuboid has 6 faces: 2 rectangular faces of length and width, 2 rectangular faces of width and height, and 2 rectangular faces of length and height.

Types of planes that can be formed:

Faces,

There are 6 faces in a rectangular cuboid, and each face can be considered as a plane. So, there are 6 planes formed by the faces.

Diagonals,

There are 4 diagonals inside the cuboid, connecting opposite corners. Each diagonal can also be considered as a plane.

So, there are 4 planes formed by the diagonals.

Three faces intersection,

There are 4 sets of 3 faces that intersect at a single point. Each set of three faces forms a plane.

So, there are 4 planes formed by the intersections of three faces.

Center point,

All three diagonals meet at the center point of the cuboid. This center point can also be considered as a plane.

Adding all the planes together:

6 (faces) + 4 (diagonals) + 4 (three faces intersection) + 1 (center point) = 15 planes

Therefore, there are a total of 15 planes in a rectangular cuboid.

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Options a, d, and e could describe a binary search tree while the rest doesn't.

In a binary search tree (BST), every element 'a' has certain properties regarding its position relative to other elements in the tree. Let's analyze it:

a. "Lesser than all elements in its left subtree": This statement would hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element.

b. "Greater than all elements in its left subtree": This statement would not hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element, so 'a' cannot be greater than all elements in its left subtree.

c. "Lesser than all elements in its right subtree": This statement would not hold true in a BST. In a BST, the right subtree contains elements that are greater than the current element, so 'a' cannot be lesser than all elements in its right subtree.

d. "Greater than all its descendants": This statement would hold true in a BST. In a BST, all elements in the left subtree are smaller than the current element, and all elements in the right subtree are greater. Therefore, 'a' would be greater than all its descendants.

e. "Greater than all elements in its right subtree": This statement would hold true in a BST. In a BST, the right subtree contains elements that are smaller than the current element, so 'a' can be greater than all elements in its right subtree.

In summary, options a, d, and e could describe a binary search tree, while options b and c would not accurately describe a binary search tree.

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Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

Answer:

7x -24x = -17

- 17x = -17

x= 1

well, what's 90% of 30?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{90\% of 30}}{\left( \cfrac{90}{100} \right)30}\implies 27\)

Answer:

27 first divide 30 by ten then multiply that by 9

Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

Qualitative properties are properties that are observed and can generally not be measured with a numerical result.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Examples of qualitative data include hair color, religion, nationality, etc.

Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

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Answer:

m<A = 35

m<B = 55

Step-by-step explanation:

Complementary angles mean the 2 angles add up to 90 so:

y - 16 + y + 4 = 90

2y - 12 = 90

2y = 102

y = 51

m<A:

y - 16

51 - 16

35

m<B:

y + 4

51 + 4

55

Answer:

Step-by-step explanation:

X^2-3x=7/4 should first be rewritten in standard form, which here would be:

x^2 - 3x - 7/4 = 0.

1.  Identify the coefficient of the x term and take half of that number:

    -3/2

2. square this result:  (-3/2)^2 = 9/4

3.  add this last result, 9/4, between the -3x term and the -7/4 term, and then      subtract it as shown:

     x^2 - 3x + 9/4 - 9/4 - 7/4 = 0

4.  Rewriting the first 3 terms as the square of a binomial, we get:

    (x - 3/2)^2  -  16/4 = 0, or    (x - 3/2)^2  =  16/4

5.  Take the square root of both sides, obtaining:

     x - 3/2 = ±√4/2 or ±√2

6.  Write out the two roots:  x = 3/2 + √2

     and                                   x = 3/2 - √2

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

the rate is 186/1

and it travels 186 miles in 1 hour

Step-by-step explanation:

558/3

to get miles per hour

186/1

(that is what you get when you divide)

Answer:

Step-by-step explanation:

(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>

a  = 60

b = 11

c = -74

d = 24

a 3-D printer can create 0.625 of an inch of a model in 20 minutes.

To calculate how many inches of a model a 3-D printer can create in 20 minutes, we need to use the formula:

Inches = (1/4 inch/8 minutes) x (20 minutes)

First, we need to convert 1/4 inch into a decimal, which is 0.25. Then, we need to multiply 0.25 by the number of minutes, which is 20.

Inches = (0.25/8) x 20

After that, we need to divide 0.25 by 8, which is 0.03125. Then, we can multiply 0.03125 by 20, which gives us 0.625.

Inches = 0.03125 x 20

Inches = 0.625

Therefore, a 3-D printer can create 0.625 of an inch of a model in 20 minutes.

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Answer: All of thé above

Step-by-step explanation:

The height of the prism is 5x + 3 units.

What is volume?

A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

Given:

The volume of a rectangular prism is given by the expression

10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.

We have to find the height of prism.

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

And the  area of the base of the prism is given by the expression

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence, the height of the prism is 5x + 3 units.

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When researchers conduct an experiment comparing two different treatment conditions, they are likely to be more concerned with internal validity than external validity.
Internal validity refers to the extent to which the results of an experiment can be attributed to the manipulation of the independent variable, rather than other factors. External validity, on the other hand, refers to the extent to which the results of an experiment can be generalized to other situations or populations. When comparing two different treatment conditions, researchers are typically more concerned with ensuring that the differences observed are due to the treatments themselves, rather than other factors, which is why they are more concerned with internal validity.

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The objective function value for the given problem is 27.By substituting the values of X=3 and Y=0 into the objective function, 9X + 33Y we get the answer.

The objective function is given as \(9X + 33Y\), which represents the value to be minimized. The problem also includes a set of constraints that must be satisfied.
The first constraint is \(\(2X \geq 0\),\)which means that the value of \(X\) must be greater than or equal to 0. This constraint ensures that \(X\) remains non-negative.
The second constraint is \(3X + 11Y = 33\), which represents an equation that must be satisfied. This constraint defines a linear relationship between \(X\) and \(Y\).
The third constraint is\(\(X + Y \geq 0\),\)which ensures that the sum of \(X\) and \(Y\) remains non-negative.
To compute the objective function value, we need to find the values of \(X\) and \(Y\) that satisfy all the constraints. By solving the system of equations formed by the second and third constraints, we can find the values of \(X\) and \(Y\) that satisfy the given conditions.
Solving the equations, we find that \(X = 3\) and \(Y = 0\), which satisfy all the constraints. Substituting these values into the objective function, we get:
\(9(3) + 33(0) = 27 + 0 = 27\)
Therefore, the objective function value for the given problem is 27.

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M = (7,6)

Step-by-step explanation:

formula to find mindpoint is

\((\frac{x2 + x1}{2} \frac{y2 + y1}{2} )\)

(4,2) = (x1, y1)

(10,10) = (x2,y2)

now substitute those into the formula!

\(\frac{10 + 4}{2} \frac{10 + 2}{2} \)

now solve for x & y !!

\(x = \frac{10 + 4}{2} = \frac{14}{2} = 7\)

\(y = \frac{10 + 2}{2} = \frac{12}{2} = 6\)

so now that we have solved for x & y put it in point form and your done !!

point for is (x,y)

and thanks why the Midpoint is (7,6)

If there are 6 red blocks and 4 blue blocks and a child is arranging them in a row, then there will be total of 210 possible arrangements.

In this scenario, there are a total of 10 blocks (6 red and 4 blue).

To determine the number of different arrangements possible, you'll need to find the combinations of these 10 blocks.

Using the formula for combinations (n! / (r! (n-r)!)), where n is the total number of blocks and r is the number of one type (e.g. red):

Total possible arrangements = 10! / (6!4!) = 210

So, there are 210 different possible arrangements of the 6 red blocks and 4 blue blocks in a row.

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To find m,

m= Y2-Y1 / X2-X1

m= 10-5 / 4-2

m= 5/2

m= 2.5

To find b,

Use coordinate (4,10)

y=mx+b

10=2.5(4)+b

10=10+b

b=0

y=2.5x

the answer is y=2.5x

Answer:

your right it is a rational number

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

a) Given:

Population size \(N=5\).

Sample size \(n=2\)

Possible sample (without replacement)

\(\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}\)

\(=\frac{5\times 4}{2}\)

\(=10\)

\(10 samples:-\)

Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

b) Event: \(E\to\)choosing sample second and tenth.

\(E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10\)

The Probability of that it is the first sample.

Second and tenth sample\(=\frac{n\left ( E \right )}{n(S)}\)

                                           \(=\frac{2}{10}\)

                                           \(=\frac{1}{5}\)

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We will solve as follows:

So, the values of a & b are -6 & 15 respectively. So a + b = 9.

Answer:

the answer is D

Step-by-step explanation:

the graph has a negative correlation

The summation of -5n - 1, from n equals 3 to 12, is equal to -410. To evaluate the summation, we substitute the values of n from 3 to 12 into the given expression and add them up.

The given summation is: Σ(-5n - 1), where n ranges from 3 to 12.

To find the value of this summation, we need to substitute the values of n from 3 to 12 into the expression -5n - 1 and add them up.

When n = 3:

Plugging in n = 3, we have: -5(3) - 1 = -15 - 1 = -16.

When n = 4:

Plugging in n = 4, we have: -5(4) - 1 = -20 - 1 = -21.

Similarly, we can repeat this process for the remaining values of n:

When n = 5: -5(5) - 1 = -25 - 1 = -26.

When n = 6: -5(6) - 1 = -30 - 1 = -31.

When n = 7: -5(7) - 1 = -35 - 1 = -36.

When n = 8: -5(8) - 1 = -40 - 1 = -41.

When n = 9: -5(9) - 1 = -45 - 1 = -46.

When n = 10: -5(10) - 1 = -50 - 1 = -51.

When n = 11: -5(11) - 1 = -55 - 1 = -56.

When n = 12: -5(12) - 1 = -60 - 1 = -61.

Now, we add up all these values: -16 + (-21) + (-26) + (-31) + (-36) + (-41) + (-46) + (-51) + (-56) + (-61) = -410. Therefore, the summation of -5n - 1, from n equals 3 to 12, is equal to -410.

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The actual dimension of the distance is approximately 0.0046667 cm.

To compute the actual dimension of a distance given a drawing measurement and a scale, you can use the following formula:

Actual Dimension = Drawing Measurement × Scale Factor

In this case, the given drawing measurement is 28 cm, and the scale is 1:60 m.

To calculate the scale factor, we need to convert the scale to the same unit as the drawing measurement. Since the drawing measurement is in centimeters (cm), we need to convert the scale from meters (m) to centimeters (cm).

1 meter = 100 centimeters

So, the scale factor is:

Scale Factor = 1:60 m = 1 cm : 60 cm = 1 : 6000 cm

Now we can calculate the actual dimension:

Actual Dimension = Drawing Measurement × Scale Factor

Actual Dimension = 28 cm × 1/6000

Actual Dimension = 28/6000 cm

Simplifying the fraction, we get:

Actual Dimension ≈ 0.0046667 cm

Therefore, the actual dimension of the distance is approximately 0.0046667 cm.

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

4,944

Step-by-step explanation:

Answer:

8

Step-by-step explanation: