1000 in scientific notation.

Answer:

Cluster analysis is used to identify groups of entities that have similar characteristics is a true statement.

Step-by-step explanation:

Cluster analysis is a statistical technique used to identify groups or clusters of entities that exhibit similar characteristics or behaviors. It is a common method employed in data mining, machine learning, and exploratory data analysis.

The goal of cluster analysis is to group data points or entities in a way that maximizes the similarity within each cluster and minimizes the similarity between different clusters. The similarity or dissimilarity between data points is typically measured using a distance or similarity metric, such as Euclidean distance or correlation coefficient.

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Answer:

15. 2

16. \(\frac{27}{16}\) or 1.6875

17. \(\frac{17}{30}\) or 0.5666666667

18. 5

19. \(\frac{35}{8}\) or 4.375

20. \(\frac{22}{5}\) or 4.4

Step-by-step explanation:

Find common denominators. Multiply then simplify (if possible).

\((0,-6) \longrightarrow (6,0)\\\\(4, -6) \longrightarrow (6,4)\\\\(6,-14) \longrightarrow (14, 6)\\\\(-2, -12) \longrightarrow (12, -2)\)

Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.

The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

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Answer:

Hey there!

1 1/10=1.1

2/25=0.08

Each serving requires 0.08 kg, and he has 1.1 kg.

Thus, he can make 1.1/0.08, or 13.75 servings.

Let me know if this helps :)

Answer:

13 servings of tofu dish.

Step-by-step explanation:

First, convert the fractions to decimal numbers:

1 1/10 kg = 0.1 kg

2/25 kg = 0.08 kg

Now find how many servings of tofu dish will cover 0.1 kg of tofu:

2/25 kg = 1 serving

1 1/10 kg = ?

= 1 1/10 ÷ 2/25 kg

= 11/10 × 25/2

= 55/4

= 13.75 servings

Approximate it to a whole number:

13 servings.

m<A = 112.5

m<B = 67.5

m<C = 67.5

m<D = 112.5

Consider the provided information.

The sum of all interior angle of a polygon is: (n-2)*180

Substitute n = 8.

(8-2)*180 = 1080

Thus, the measure of each angle is:

∠B and ∠C are congruent and their sum is 135°

∠B+∠C=135°

∠B=67.5°

Hence, the m angle B and m angle C is 67.5°.

The sum of all angles of a quadrilateral is 360°.

∠A+∠D+∠B+∠C=360°

∠A+∠D=360°-135°

∠A+∠D=225°

∠A and ∠D are congruent and their sum is 225°

∠A+∠D=225°

∠A=∠D=112.5°

Hence, the m angle A and m angle D is 112.5°.

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Answer:

$4.99

Step-by-step explanation:

\(34.93 \div 7 \)

Answer:

\(7 \: books = 34.93 \: dollars \\ 1 \: book = ( \frac{1}{7} \times 34.93) \: dollars \\ = 4.99 \: dollars\)

Answer:

$550

Step-by-step explanation:

How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5

So, profit for 100 burritos is $5.5 x 100 = $550.

Hope this helps.

Minimum: 38

Lower quartile: 48

Median: 54

Upper quartile: 66

Maximum: 76

To determine the five-number summary, we need to find the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values.

The minimum is the smallest value in the data set, which is 38.

The lower quartile (Q1) is the median of the lower half of the data set. To find Q1, we arrange the data in ascending order and find the median of the first five values, which is 48.

The median is the middle value in the data set when arranged in ascending order. In this case, we have an even number of values, so we take the average of the two middle values, which are 54 and 56. Thus, the median is (54+56)/2 = 55.

The upper quartile (Q3) is the median of the upper half of the data set. We find the median of the last five values, which is 66.

The maximum is the largest value in the data set, which is 76.

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Answer:

25%

Step-by-step explanation:

We can round 89.99 to 90. 90/4=22.5, and 90-22.5 is 67.5.

Answer:

-8x - y - 2

Step-by-step explanation:

(-8x + 3y) - (2 + 4y)

Change this to addition, but change the signs in the second parentheses:

(-8x + 3y) + (-2 - 4y)

Add like terms:

-8x - y - 2

So, the difference is -8x - y - 2

There is proof that the equation; a²+b²+c²-ab-bc-ca = ((a - b)/√2)²  ((b - c)/√2)²  ((c - a)/√2)²

We can start by expanding the right-hand side of the equation:

((a - b)/√2)² ((b - c)/√2)² ((c - a)/√2)²

= (a² - 2ab + b²)/2 * (b² - 2bc + c²)/2 * (c² - 2ac + a²)/2

= (a⁴ - 2a³b + 3a²b² - 2ab³ + b⁴)/8 * (b⁴ - 2b³c + 3b²c² - 2bc³ + c⁴)/8 * (c⁴ - 2a³c + 3a²c² - 2ac³ + a⁴)/8

Multiplying out the terms, obtain:

(a⁴b⁴ - 2a³b⁵ + 3a²b⁶ - 2ab⁷ + b⁸)/512

(b⁴c⁴ - 2b³c⁵ + 3b²c⁶ - 2bc⁷ + c⁸)/512

(a⁴c⁴ - 2a³c⁵ + 3a²c⁶ - 2ac⁷ + c⁸)/512

Now, we can simplify the left-hand side of the equation by using the identity (a-b)² = a² - 2ab + b²:

a² + b² + c² - ab - bc - ca

= (a² - 2ab + b²) + (b² - 2bc + c²) + (c² - 2ca + a²)

= 2(a² - ab - ca) + 2(b² - bc - ab) + 2(c² - ca - bc)

= 2(a - b)(a - c) + 2(b - c)(b - a) + 2(c - a)(c - b)

= 2[(a - b)(c - a) + (b - c)(a - b) + (c - a)(b - c)]

= 2[(a² - ab - ca - ac + b² - bc + ba - cb + c² - ca - cb)]

= 2[(a² + b² + c² - ab - bc - ca)]

Substituting this back into the original equation:

a² + b² + c² - ab - bc - ca = ((a - b)/√2)² ((b - c)/√2)² ((c - a)/√2)²

Therefore, the equation is proved.

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The mean rainfall is approximately 2.52 cm and the standard deviation is approximately 1.73 cm.

A) To calculate the mean and standard deviation for the given data set of annual monthly rainfall, we can use the following formulas:

Mean (µ) = (Sum of all values) / (Number of values)

Standard Deviation (σ) = sqrt((Sum of (value - mean)^2) / (Number of values))

Calculating the mean:

Sum of all values = 2.79 + 2.0 + 6.2 + 5.9 + 1.0 + 1.1 + 1.1 + 2.3 + 2.7 + 2.5 + 2.8 + 1.0 = 30.2

Number of values = 12

Mean = 30.2 / 12 = 2.5167 (approximately 2.52)

Calculating the standard deviation:

Sum of (value - mean)^2 = (2.79 - 2.52)^2 + (2.0 - 2.52)^2 + ... + (1.0 - 2.52)^2 = 0.6241 + 0.9801 + ... + 1.0401

Sum of (value - mean)^2 = 29.6524

Standard Deviation = sqrt(29.6524 / 12) = 1.7252 (approximately 1.73)

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Angle-Angle (AA) similarity postulate,  if two angles of one triangle are congruent to two angles of another, then the triangles are similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

As per the diagram,

Triangles RPQ & RST are similar since

∠P = ∠S & ∠Q = ∠T

Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangles RPQ & RST are similar since

RP/RS = RQ/RT = ST/PQ

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Answer: B) 5

Step-by-step explanation:

Due to the similarity of triangles ACE and BCD we have the proportion:

\(\displaystyle\\\frac{5x}{20} =\frac{45}{36}\)

The left side of the equation is reduced by 5, the right side of the equation is reduced by 9:

\(\displaystyle\\\frac{x}{4} =\frac{5}{4} \\\\Hence, \ x=5\)

Of the company's customers, the number that would be expected to experience pain relief from the shoes is 2832.

An experiment is a process done by scientific and mathematical methods.

Analysis:

The number of people in each group is:

in the first group "60x70% = 672

in the second group 960X 60% =576

in the third group 960x 450 x 8432

in the fourth group 960 x 55% =528

in the fifth group 960x65% =62e

The total number of five experimental groups of customers is

2832.

Therefore, the total number of five experimental groups of customers is

2832.

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The value of a for which v =[2 a -8 -8] is in the subspace h = span{[-1 -5 4 4]} is -2.

To determine if v is in the subspace h, we need to find the values of a linear combination of the vectors in the subspace that can result in v. We can set up the equation -1x - 5y + 4z + 4w = 2a - 8 and solve for a. By substituting x = -2, y = 0, z = -2, and w = -2, we get:

-1(-2) - 5(0) + 4(-2) + 4(-2) = 2a - 8

-2 - 8 = 2a - 8

-10 = 2a - 8

a = -2

Therefore, when a = -2, the vector v is in the subspace h.

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Answer: D. (-4, 4)

Step-by-step explanation:

just the x, y

Answer:The answer is A (4, 4)

Step-by-step explanation: When reflected across the y-axis, the y coordinates stay the same, but the x coordinated change signs. In this case, the original x coordinate was -4. But after flipped across the y axis, the -4 changes to a positive 4, since it is in quadrant 1.

Answer:

x=2

Step-by-step explanation:

2(4x - 1) = -10(x - 3) + 4

First, we distribute the 2 on the left side and -10 on the right side using the distributive property of equality:

8x - 2 = -10x + 30 + 4

Next, we combine like terms on the right side:

8x - 2 = -10x + 34

We add 10x to both sides using the addition property of equality:

8x - 2 + 10x = -10x + 34 + 10x

Simplifying:

18x - 2 = 34

We add 2 to both sides:

18x - 2 + 2 = 34 + 2

Simplifying:

18x = 36

Finally, we divide both sides by 18:

18x / 18 = 36 / 18

Simplifying:

x = 2

In each step, we used a different property of equality:

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The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³

To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.

The volume of a square prism is given as;

V = L³

V = 4³

V = 64cm³

The volume of the square pyramid is given as;

V = 1/3lh

V = 1/3 * 4 * 2.4

V = 3.2cm³

The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³

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The area of the given triangle in the diagram is 11.83\(cm^{2}\)

Given triangle ABC. Let AB=x, BC=y, CA=z

We use Heron's formula when asked to find the area of a triangle and the measures of the sides are given only. According to Heron's formula,

Area of a triangle\(=\sqrt{s(s-x)(s-y)(s-z)}\)   where s is the semi-perimeter of the triangle given by \(s=\frac{x+y+z}{2}\) and x,y,z are the measures of the three sides of the triangle

According to the diagram of the triangle AB=x=8 cm, BC=y=3 cm,

CA= z= 9 cm

∴Semi-perimeter  \(s=\frac{8+3+9}{2}=10 cm\)

∴Area of the triangle\(=\sqrt{10(10-8)(10-3)(10-9)}=\sqrt{10*2*7*1}=2\sqrt{35}=11.83 cm^{2}\)

Therefore the area of the triangle ABC is 11.83\(cm^{2}\)

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The probability that you draw a sphere given that it is blue is given as follows:

5/7.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The total outcomes in this problem are the blue shapes, hence the number is given as follows:

6 + 15 = 21 shapes.

The desired outcomes are the blue spheres, hence the number is given as follows:

15.

Hence the probability that you draw a sphere given that it is blue is given as follows:

p = 15/21

p = 5/7. (simplify numerator and denominator by 3).

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10+5=15

He swam 15 laps the second day

Answer:

Please let me know if my calculations were incorrect. I am very sorry but unfortunately, your answer will be negative and not a whole number. None of the answers fit. It is either that I made a mistake or there is something wrong with the question.

Step-by-step explanation:

\(\frac{103*10-5*1010}{106} \\\frac{1030-5050}{106} \\\frac{-4020}{106} \\\\\frac{-2010}{53}\)

Answer and Step-by-step explanation:

Okay, we are given a number, n, which is then added to 15 less than 3 times itself.

Let's break this apart.

n will be added to (+) 15 less (-) than 3 times itself (x)

3 times itself would be 3n, and 15 less than 3 times itself (3n) would be 3n - 15.

n is added to this value: n + 3n - 15 = 4n - 15

Now we need to put this into an equation, where the expression we created will be equal to a number, which is given to be 101.

4n - 15 = 101  <-- This is the equation that would be used to find the value of n.

I hope this helps!
#teamtrees #PAW (Plant And Water)

The solution is 175(2v-5)³(v-4)³³¹

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Answer:The answer is:

k

=

2

.

Given two point,

A

(

x

a

,

y

a

)

and

B

(

x

b

,

y

b

)

the slope of the line that passes from them is:

m

=

y

b

−

y

a

x

b

−

x

a

.

So:

−

2

=

6

−

2

k

−

4

⇒

−

2

(

k

−

4

)

=

4

⇒

−

2

k

+

8

=

4

⇒

−

2

k

=

−

4

⇒

k

=

2

.

Step-by-step explanation:The answer is:

k

=

2

.

Given two point,

A

(

x

a

,

y

a

)

and

B

(

x

b

,

y

b

)

the slope of the line that passes from them is:

m

=

y

b

−

y

a

x

b

−

x

a

.

So:

−

2

=

6

−

2

k

−

4

⇒

−

2

(

k

−

4

)

=

4

⇒

−

2

k

+

8

=

4

⇒

−

2

k

=

−

4

⇒

k

=

2

.

The algebraic expression of the statement is h - 8

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

8 feet less than the height

Represent the height with x

So, we have

8 feet less than h

An algebraic expression for "8 feet less than the height, h" can then be written as:

h - 8

This represents the height h with 8 feet subtracted from it.

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Step-by-step explanation: