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2 years ago

What is the missing value in the table below?

Mathematics

1 answer:

iVinArrow [24]2 years ago

8 0

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.

<h3>What is geometrical series?</h3>

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,

Common ratio = y₂/y₁ = 1/(1/7) = 7

Now, for any geometric progression, the value of the nth term is given as,

Tₙ = a₁ (r)⁽ⁿ⁻¹⁾

where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,

T = a₁ (r)⁽ⁿ⁻¹⁾

Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾

y = (1/7)(7)⁽ˣ⁻¹⁾

Now, the value of the y when the value of x is 5 is,

y = (1/7)(7)⁽ˣ⁻¹⁾

y = (1/7)(7)⁽⁵⁻¹⁾

y = (1/7)(7)⁴

y = (1/7) × 2401

y = 343

Hence, the missing value in the table below is 343.

Learn more about Geometrical Series here:

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Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2

Lynna [10]

The equivalent expression to the given expression is $\mathbf{=-(\dfrac{7}{4}x+5)}$

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

$=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)$

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

$=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2$

$=\dfrac{1}{2}x -\dfrac{9}{4}x +2 -7$

$=\dfrac{1}{2}x -\dfrac{9}{4}x -5$

$=-\dfrac{7}{4}x-5$

$\mathbf{=-(\dfrac{7}{4}x+5)}$

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5 0

2 years ago

What is the exterior and interior angle of a 18 sided polygon

GREYUIT [131]

Would assume the Polygon is an 18 sided regular polygon.

Exterior angle for regular polygon = 360/n (Sum of angles of exterior angles = 360°)

where n = number of sides.

Exterior angle = 360 / 18 = 20

Exterior angle = 20°

Sum of exterior angle + Interior angle = 180° (Both angles are on a straight line, so the sum is 180°)

Interior angle = 180° - 20°

Interior angle = <span>160°

</span>Hope this explains it.

3 0

4 years ago

Find f(-2) of f(x) = 3x+x^2

Afina-wow [57]

f(x) is a function of x. To find f(-2), plug in the value of x=-2.

$f(-2)=3(-2)+(-2)^2=-6+4=-2$