MATHEMATICS COLLEGE

Considere as mesas com 4 cadeiras, com 6 cadeiras e com 8 cadeiras. ©Shutterstock/jenjira Com base nessa sequência de imagens, qual expressão indica a quantidade de cadeiras utilizadas ao colocarmos n mesas lado a lado?

Answers

Answer 1
Answer:

Responder:

C. Tₙ = 2n + 2

Explicación paso a paso:

De la pregunta, la secuencia de imágenes, cuya expresión indica es 4 cadeiras, 6 cadeiras, 8 cadeiras ...

Se puede ver la secuencia una progresión aritmética de la forma 4, 6, 8 ... Para obtener la expresión que indica la cantidad de cadenas utilizadas o colocaremos n tablas una al lado de la otra, tendremos que encontrar el enésimo término de la secuencia que usa la fórmula para encontrar el enésimo término de una secuencia aritmética.

El enésimo término de un AP se expresa como Tₙ = a + (n-1) d donde;

a es el primer término

n es el número de términos es la diferencia común

De la secuencia generada, a = 4, d = 6-4 = 8-6 = 2

Tₙ = 4+ (n-1) 2

abre el paréntesis

Tₙ = 4 + 2n-2

Tₙ = 2n + 4-2

Tₙ = 2n + 2

Por lo tanto, la expresión que indica la cantidad de cadenas utilizadas o colocaremos n tablas una al lado de la otra es 2n + 2

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I NEED HELP ASAP PLEASE HELP

Answers

Answer: C

Step-by-step explanation:

Answer:

Answer: C

Step-by-step explanation:

When looking at the whole number, You always want to look at the tenths place to see of it's 5 or higher.

How do you find the Geometric Mean of a set of two or more numbers?

Answers

A geometric mean is often used when comparing different items—finding a single "figure of merit" for these items—when each item has multiple properties that have different numeric ranges.[1] For example, the geometric mean can give a meaningful "average" to compare two companies which are each rated at 0 to 5 for their environmental sustainability, and are rated at 0 to 100 for their financial viability. If an arithmetic mean were used instead of a geometric mean, the financial viability is given more weight because its numeric range is larger—so a small percentage change in the financial rating (e.g. going from 80 to 90) makes a much larger difference in the arithmetic mean than a large percentage change in environmental sustainability (e.g. going from 2 to 5). The use of a geometric mean "normalizes" the ranges being averaged, so that no range dominates the weighting, and a given percentage change in any of the properties has the same effect on the geometric mean. So, a 20% change in environmental sustainability from 4 to 4.8 has the same effect on the geometric mean as a 20% change in financial viability from 60 to 72.

A small theater had 9 rows of 25 chairs each. An extra 6 chairs have just been brought in. How many chairs are in the theater now?

Answers

231 chairs because 9 times 25 is 225, plus 6 is 231
4*25=100 4*25=100 add 6 =206+25= 231

Raj recorded the scores of six of his classmates in the table.Math Scores
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What is the range of their test scores?

Answers

The answer is 30. Range: largest number - smallest number = range

Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'relate to the area of triangle M?
A- The area of triangle M'is 0.6 times the area of triangle M.
B- The area of triangle M'is 1.2 times the area of triangle M.
C- The area of triangle M'is 1.44 times the area of triangle M.
D- The area of triangle M' is 2.4 times than the area of triangle M.

Answers

Answer:

The area of triangle M is 1.44 times the area of triangle M.

Step-by-step explanation:

From Geometry we remember that the area formula of the triangle is:

A = (1)/(2)\cdot b\cdot h(1)

Where:

b - Base of the triangle, dimensionless.

h - Height of the triangle, dimensionless.

A - Area of the triangle, dimensionless.

The dillation of the triangle by a scale factor means that:

A' = (1)/(2)\cdot b'\cdot h'(2)

b' = k\cdot b(3)

h' = k\cdot h(4)

Where:

b' - Dilated base of the triangle, dimensionless.

h' - Dilated height of the triangle, dimensionless.

A' - Dilated area of the triangle, dimensionless.

k - Dilation factor, dimensionless.

If we know that k = 1.2, then the area formula for the dilated triangle is:

A' = (1)/(2)\cdot (k\cdot b)\cdot (k\cdot h)

A' = k^(2)\cdot (1)/(2)\cdot b\cdot h

A' = k^(2)\cdot A

Therefore, the area of triangle M is 1.44 times the area of triangle M.

Answer:

C- The area of triangle M'is 1.44 times the area of triangle M.

Step-by-step explanation:

1.44 divided by 1.2=1.2

Please help me with my math!!!!!!!!!

Answers

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