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The equation 8 * 0 is similar to 0 * 3, the correct option is the first.

In mathematics, zero has unique properties, one of the properties is seen in multiplication. The unique property of zero in multiplication is that, zero has the power to return itself to any number that multiplies it, or when zero multiplies the number. The order does not matter.

For instance, as used in the equation 8 multiplying zero will return zero as the solution. Bearing in mind this unique feature zero multiplying any number gives zero too hence 0 * 3 = 0.

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From the recursive definition, the next term of a sequence is the previous term multiplied by 3, hence it is a geometric sequence with a common ratio of 3.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The recursive definition of a geometric sequence is:

[tex]a_{n+1} = qa_n[/tex]

In this problem, the sequence is given by:

[tex]u_{n+1} = 3u_n[/tex]

With first term [tex]u_1 = \frac{4}{27}[/tex].

Hence it is a geometric sequence with a common ratio of 3.

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Answer:

1 is a function

2 and 3 is not

Step-by-step explanation:

the first one doesn't have anything repeating but 2 and 3 both do

Answer:

1. Yes, it's a function.

2. No, it's not a function.

3. No, it's not a function.

Step-by-step explanation:

A function is a relation in which each element of the domain (input) corresponds with exactly one element of the range (output).

Hope this helps.

the answer to the given question is 11.3 cm

Side = 13 cm

Height of triangle = root3/2  * 13

= 11.25 cm

Therefore, the Height of the triangle is 11.3 cm

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Domain: {x-9 ≤x ≤9},  Range:{x-9 ≤x ≤9},  Intercepts points : (-9, 0), (0, -9), (0, 9), (9, 0) and Symmetry: x-axis and y-axis the correct answer would be option (C).

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the graph is that of a function.

To determine its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin

The domain of the given function would be {x-9 ≤x ≤9}

The range of the given function would be : (y-9 y ≤9)

The intercepts points of the given function would be : (-9, 0), (0, -9), (0, 9), (9, 0)

And the graph is symmetric about the x-axis and y-axis.

Hence, the correct answer would be option (C).

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Answer:

x=-1/3

Step-by-step explanation:

3(1-3x)=2(-4+7)

Use distributive property.

3-9x=-8+14

Combine like terms.

3-9x=6

Subtract 3 from both sides.

-9x=3

Divide -9 from both sides.

x=-1/3

Hope this helps!

Please mark as brainliest if correct!

Answer:

The value of x is -1/3.

Step-by-step explanation:

Given equation,

→ 3(1 - 3x) = 2(-4 + 7)

Now the value of x will be,

→ 3(1 - 3x) = 2(-4 + 7)

→ 3 - 9x = 2 × 3

→ -9x = 6 - 3

→ x = 3/(-9)

→ [ x = -1/3 ]

Hence, the value of x is -1/3.

According to the standard deviation rule, 99.7% of people have an IQ between 55 and 145.

The standard deviation rule which is the empirical rule in statistics tells us that for distributions that have the normal shape, approximately 99.7% of the observations will fall within 3 standard deviations of the mean.

Now, In this question the mean is 100, and the standard deviation is 15. Thus, we can say that approximately 99.7% of the observations (IQ scores) fall between 100 − (3 * 15) and 100 + (3 * 15) or between 55 and 145.

Now, approximately 100% − 99.7% = 0.3% of the observations fall outside this interval. Since the normal shape is symmetric, approximately 0.15% of the observations fall above 145.

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Answer:

2m+4 is the answer

Step-by-step explanation:

The length and width of the rectangle are: 42 feet and 11 feet.

Rectangle refers to a plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.

Given:

To find: the length and width of the rectangular field.

Finding:

Let the width of the rectangular field be 'x'

Then the length of the field = 4x - 2

Perimeter of rectangle = 2 (width + length)

=> 106 = 2 ( x + 4x -2)

=> 53 = 5x - 2

=> 55 = 5x

=> 11 = x, i.e., the width of the field = 11 feet

The length of the field = 11(4) - 2 = 42 feet.

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Answer: $800

Step-by-step explanation: 80% of 800 is 640. So you would do 800-640=160. Hope this helps :)

Answer:

3

Step-by-step explanation:

27 tickets = 9 prizes

Since they are all equal, it would be 27 divided by 9 = 3

Calculate the absolute value: 52

Substitute  into :: {a =2 ,b = -4} into Va³ 7+1b| =| [tex]2^{3}[/tex] 7 +1*-4|

Determine the sign for exponential or radical expressions:  |[tex]2^{3}[/tex] 7 +1*-4|

Calculate the power: |56-4|

Calculate the sum or difference: |52|

Calculate the absolute value: 52

In mathematics, the absolute value or modulus of a real number {x}x, denoted { |x|}|x|, is the non-negative value of { x}x without regard to its sign. Namely, { |x|=x}{ |x|=x} if x is a positive number, and {|x|=-x}{ |x|=-x} if { x}x is negative (in which case negating { x}x makes { -x}-x positive), and { |0|=0}{ |0|=0}.The absolute value of a number may be thought of as its distance from zero.

For example, an absolute value is also defined for the complex numbers, the  ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical  that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.

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For the system of equations √x + 2 y = 2 and x - 2 y = - 2, it has no solutions.

We are given a system of equations:

√x + 2 y = 2 … (1)

x - 2 y = - 2   … (2)

We need to find out which of the given statements if true about this system of equations.

We will do this by first comparing the a₁ / a₂, b₁ / b₂ and c₁ / c₂ with each other.

We have:

a₁ = 1

b₁ = 2

c₁ = 2

a₂ = 1

b₂ = -2

c₂ = -2

Since, b₁ / b₂ = 2 / -2 = -1 and c₁ / c₂ = 2 / - 2 = -1

So,

a₁ / a₂ ≠ b₁ / b₂ = c₁ / c₂

From this, we get that:

It has no solution.

Therefore, for the system of equations √x + 2 y = 2 and x - 2 y = - 2, it has no solutions.

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1) El vehículo tardará 14 minutos en recorrer la misma distancia a una rapidez de 50 kilómetros por hora.

2) La rapidez registrada equivale al 55.556 % de la velocidad máxima de la zona.

1) En este problema tenemos el caso de un vehículo que se desplaza a rapidez constante. Aquí tenemos que la rapidez (v), en kilómetros por hora, es inversamente proporcional al tiempo invertido (t), en minutos.

[(40 km /h) / (50 km / h)] = t / 20 min

4 / 5 = t / 20

t = 80 / 5

t = 14 min

El vehículo tardará 14 minutos en recorrer la misma distancia a una rapidez de 50 kilómetros por hora.

2) El porcentaje correspondiente a la rapidez reportada se calcula mediante porcentajes:

r = [(50 km / h) / (90 km / h)] × 100 %

r = 55.556 %

La rapidez registrada equivale al 55.556 % de la velocidad máxima de la zona.

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Answer:

x = 0

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The value of x should be 0, as any number multiplied by 0 is 0.

Using translation concepts, the sequence of rigid motions to take each vertex of triangle ABC onto the corresponding vertex of triangle A’B’C' are:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For the motions in this problem, we have that:

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The height of the base and the perimeter length are respectively; 12 cm and 840 cm

We are told that;

Volume of Triangular Prism = 1200 m³

Base length = 10 cm

Side length of triangle = 13

Length of box = 20

Now, formula for volume of a  triangular prism is;

V = ¹/₄h√(-a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2(bc)² - c⁴)

where;

a is side length of triangle

b is base side length

c is also side length of other triangle

h is length of box

Thus;

Using Pythagoras theorem, we can find the height of the base as;

D = √(13² - 5²)

D = √144

D = 12 cm

B) Formula for perimeter length of triangular prism is;

P = (S1 + S2 + S3)L + BH

P = (13 + 13 + 10)20 + 10(12)

P = 720 + 120

P = 840 cm

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The standard deviation is approximately 1.825

The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. A low standard deviation means that the values tend to be near to the established mean, whereas a large standard deviation shows that the values are distributed throughout a broader range.

The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is equal to the square root of that variable's variance. It is more algebraically straightforward than the average absolute deviation, but being less reliable in actual use.

The standard deviation is calculated by the formula :

[tex]{\displaystyle \sigma={\sqrt {{\frac {1}{N}}\sum _{i=1}^{N}\left(x_{i}-{\mu }\right)^{2}}}}[/tex]

where N= n-1(n=size of sample) , [tex]\mu[/tex]= mean of the data , [tex]x_i[/tex]= each data value.

Now the given data for the question are {6,5,9,8}

mean of the data ([tex]\mu[/tex])=(6+5+9+8)÷4=28÷4=7

Standard deviation:

[tex]{\displaystyle \sigma ={\sqrt{{\frac {(6-7 )^{2}+(5-7 )^{2}+(9-7 )^{2}+(8-7 )^{2}}{N}}}}[/tex]

[tex]{\displaystyle \sigma ={\sqrt{{\frac {(-1 )^{2}+(-2)^{2}+(2)^{2}+(1 )^{2}}{N}}}}\\[/tex]

[tex]{\displaystyle \sigma =\sqrt{\frac{1+4+4+1}{4-1}}\\[/tex]

[tex]{\displaystyle \sigma =\sqrt{\frac{10}{3}}\\[/tex]

[tex]{\displaystyle \sigma =\sqrt{1.333}[/tex]

[tex]{\displaystyle \sigma =1.825[/tex]

The standard deviation is approximately 1.825.

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Answer: 2 and 0/7

MATH

Answer:

132p

Step-by-step explanation:

if 7 pens cost 84 total then you need to find the cost of each to know how much 11 pens would cost in total

84/7=12

now you know it's 12 each so just multiply 12 by 11 and you know how much for 11 total!

12*11=132p

Answer:

132 is correct

Step-by-step explanation:

84÷7=12

12×11= 132

For the given data, x1 = (8 + 12)/2 = 10;

Mean = Sum of frequencies*components/Sum of frequencies = 590 / 30 = 19.6667

A histogram roughly depicts the distribution of numerical data. Karl Pearson is credited with coining the phrase. To create a histogram, you must first "bin" (or "bucket") the data range, divide it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as discrete intervals that don't overlap. The bins (intervals) must be next to each other and are frequently (but not necessarily) of the same size.

When the bins are the same size, a rectangle is constructed across each bin, with the height being proportional to the frequency—that is, the number of cases in each bin.

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Answer:

Yes, the ratios are equivalent.

Step-by-step explanation:

Answer:

The standard form is: (x−h)2+(y−k)2=r2where (h,k) is the center and r is the radius.Your center is at (0,0) and the radius, r=3(x−0)2+(y−0)2=32

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

all the values will equal the mean