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3 years ago

A(n)=-4-2(n-1) find the 12th term in the sequence.

Mathematics

1 answer:

Art [367]3 years ago

4 0

Substitute n = 12:

$a(n)=-4-2(n-1)\\\\a(12)=-4-2(12-1)=-4-2(11)=-4-22=-26$

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The area ratio of two similar soilds is 169:289 if the volume of the smaller solid is 689,858 cm what is the volume of the large

Rus_ich [418]

Answer: $1,542,682\ cm^3$

Step-by-step explanation:

Given

The ratio of two similar figures is 169:289

Suppose, their length ratio is x:y

$\therefore \dfrac{x^2}{y^2}=\dfrac{169}{289}\\\\\Rightarrow \dfrac{x}{y}=\dfrac{13}{17}$

Similarly, cube of the ratio is equal to the volume ratio

$\Rightarrow \left(\dfrac{13}{17}\right)^3=\dfrac{689,858}{V}\\\\\Rightarrow V=689,858\times \dfrac{17^3}{13^3}\\\\\Rightarrow V=314\times 17^3\\\\\Rightarrow V=1,542,682\ cm^3$

Thus, the volume of the larger solid is $1,542,682\ cm^3$

3 0

2 years ago

Which graph represents the function f(x)= 0.2^x + 3

Dennis_Churaev [7]

The third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

When $x=0,$ $f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.$

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

The value of f(x) when $x=1$ is lesser than the value of f(x) when $x =0.$

So the third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

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3 years ago

Increments of seven

BaLLatris [955]

Answer:

Specific Learning Outcomes:

Solve problems that involve finding powers of a number

Description of mathematics:

In this problem students work with powers of numbers and, as a consequence, come to understand what is happening to the numbers.

Students also see how an apparently enormous and difficult calculation can be broken down into manageable parts. The students should come to realise that there are only a limited number of unit digits obtained when 7 is raised to a power. Further, these specific digits 'cycle round' as the power of 7 increases. This cycle is 7, 9, 3, 1, 7, 9, …

The same is true of the digit in the tens place.

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3 years ago

The Georgia state constitution contains a bill of rights .which of these is Most likely the best entry in this section of Georgi

Pavlova-9 [17]

That would be the freedom of speech and the freedom of the press.

Both of these are without a doubt a center of political to the political system existing in the United States. They state that both the freedom of speech and the press is to be expressed freely. These rights are the key to the political discourse as they allow an honest conversation and exchange of opinion that is of paramount importance in democracy. People are free to express their opinions and through the press they gain the necessary information to make educated decisions about the burning political questions.

Hope this helps!

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3 years ago

Adding and Subtracting Rational Expressions.

n200080 [17]

A rational expression is a ratio of two polynomials. To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.

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2 years ago