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Svetach [21]
3 years ago
6

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

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

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

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Last summer there were 88 players at coach rodriguez basketball camp. this year there are 125% of this number of players. how ma
ludmilkaskok [199]
To determine the number of those who joined the basketball camp this year, we just have to multiply the number of those who joined last year by the decimal equivalent of the percentage given. That is,
                                   x = 88(1.25)
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Therefore, there are a total of 110 players for this years basketball camp. 
6 0
3 years ago
Please help me AAAAAA
bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0
3 years ago
Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table
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The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

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Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

brainly.com/question/17177510

#SPJ1

8 0
2 years ago
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6 0
3 years ago
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IRISSAK [1]

So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked

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15h =< 200

(divide both sides by 15)

h =< 13 1/3

So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.

5 0
2 years ago
Read 2 more answers
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