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3 years ago

Which term describes the red curve in the figure below?

Mathematics

1 answer:

devlian [24]3 years ago

8 0

Where is the figure, i cant see it in this your question, you can rewrite the quest.

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Write an<br> i explicit formula for an, the nth term of the sequence 200, 40, 8, ....

Ugo [173]

Answer:

$T_n = 200 * (\frac{1}{5})^{n-1$

Step-by-step explanation:

Given

$Sequence: 200,40,8$

Required

The nth term

The given sequence is a geometric sequence.

So, first we identify the first term

$a = 200$

Calculate common ration

$r = \frac{40}{200}$ or $r = \frac{8}{40}$

$r = \frac{1}{5}$

So, the nth term is:

$T_n = ar^{n-1$

$T_n = 200 * (\frac{1}{5})^{n-1$

5 0

2 years ago

The money used in Saudi Arabia is the Riyal.The exchange rate is 4 Riyals to 1 dollar. How many Riyals would you receive if you

inysia [295]

Answer:

20 Riyals you receive if you exchange 5 dollars .

Step-by-step explanation:

As given

The money used in Saudi Arabia is the Riyal.

The exchange rate is 4 Riyals to 1 dollar.

i.e

4 Riyals = 1 dollar.

Now calculate for 5 dollars.

5 × 4 Riyals = 5 × 1 dollars

20 Riyals = 5 dollars

Therefore 20 Riyals you receive if you exchange 5 dollars .

5 0

3 years ago

Show that if f(n) is O(g(n)) and d(n) is O(h(n)) then f(n) + d(n) is O(g(n) + h(n)).

GaryK [48]

$f(n)\in\mathcal O(g(n))$ is to say

$|f(n)|\le M_1|g(n)|$

for all $n$ beyond some fixed $n_1$ .

Similarly, $d(n)\in\mathcal O(h(n))$ is to say

$|d(n)|\le M_2|h(n)|$

for all $n\ge n_2$ .

From this we can gather that

$|f(n)+d(n)|\le|f(n)|+|d(n)|\le M_1|g(n)|+M_2|h(n)|\le M(|g(n)|+|h(n)|)$

where $M$ is the larger of the two values $M_1$ and $M_2$ , or $M=\max\{M_1,M_2\}$ . Then the last term is bounded above by

$M(|g(n)|+|h(n)|)\le2M\max\{|g(n)|,|h(n)|\}$

from which it follows that

$f(n)+d(n)\in\mathcal O(\max\{g(n),h(n)\})$

3 0

3 years ago

An employee receives a pay increase from $35,000 per year to $37,500 per year. Calculate the percent increase. Round to the near

arsen [322]

Answer:

The percentage increase in salary of employee is 7.14 %

Step-by-step explanation:

Given as :

The initial pay of employee = $35,000 per year

The increase pay of employee = $37,500 per year

Let The percentage increase in salary = X %

So, X = $\frac{increase salary - initial salary}{initial salary}$ × 100

Or, X = $\frac{$37,500 - $35,000}{$35,000}$ × 100

Or, X = $\frac{$2,500}{$35,000}$ × 100

∴ X = 0.0714 × 100 = 7.14 %

Hence The percentage increase in salary of employee is 7.14 % Answer

8 0

3 years ago

Read 2 more answers

What is the measure of the secant AB

cricket20 [7]

A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle than the measure of the angle is formed is one-half the positive difference of the measures of the intercepted arcs.

6 0

3 years ago