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umka21 [38]
3 years ago
7

Brainliest for free pls

Mathematics
2 answers:
Cloud [144]3 years ago
7 0

Answer: t_{n} = 0.45(5)^{n-1}    (b)

Step-by-step explanation:

a_{n} = 5a_{n-1}

if n = 1 , the sequence becomes :

a_{1} = 5a_{0}

And it was given that the first term is 0.45 , therefore a_{0} = 0.45 , then:

a_{1} = 5(0.45) = 2.25

a_{2} = 5 (5)(0.45) = 11.25

a_{3} = 5(11.25)  = 56.25

Therefore, the common ratio will be 11.25/2.25 = 56.25/11.25 = 5

Recall the formula for nth term of a geometric sequence , which is given as

t_{n} = ar^{n-1}

Substituting the value of a and r , we have

t_{n} = 0.45(5)^{n-1} which is the nth term

ziro4ka [17]3 years ago
4 0

Answer:

dont trust me but

Step-by-step explanation:

I think it tis d or b but mostly d

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Jy is hiking glacier national park he now has hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hik
anastassius [24]

Jy has hiked 17km

He is 2km short of being half of the way done with hicking

Let the total distance he hiked be xkm

Then 1/2x = 17 + 2km

1/2x = 19km

x = 19 × 2 = 38km

The total distance he covered was 38km.

7 0
3 years ago
Brian cut a piece of cardboard in the shape of a trapezoid the area of the cut out is 43.5 cm² if the bases are 6 cm And 8.5 cm
Likurg_2 [28]

Answer: the height of the trapezoid is 6 cm

Step-by-step explanation:

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 6 cm

b = 8.5 cm

If the area of the cut out is 43.5 cm², then

53.5 = 1/2(6 + 8.5)h

Cross multiplying by 2, it becomes

43.5 × 2 = (6 + 8.5)h

87 = 14.5h

h = 87/14.5 = 6 cm

8 0
3 years ago
PLEASE HELP ME THANKS ASAP
lara [203]

A = 28.26 units^2

Step-by-step explanation:

The formula for the area of a circle is:

A=\pi r^2

We can just plug in the numbers and solve.

A=3.14*3*3

A=

28.26 units^2

4 0
3 years ago
Name the pair of vertical angles
Anit [1.1K]
ABC , dce is the answer
7 0
3 years ago
8. The volume of the pyramid is 168 cubic inches. Find the length of the rectangular base. (3pts)7 inI8 in.
olya-2409 [2.1K]

The length of the rectangular base is 9in

<h3>How to determine the value</h3>

It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;

Volume = lwh/3

Where;

  • l is the length of the rectangular base of the pyramid
  • w is the width of the rectangular base of the pyramid
  • h is the height of the rectangular base of the pyramid

Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;

168 = l × 7 × 8/ 3

cross multiply

l × 7 × 8 = 168(3)

Find the product

56l = 504

To determine the length, divide both sides by 56, we get;

l = 504/ 56

l = 9In

Hence, the value is 9in

Learn more about volume here:

brainly.com/question/463363

#SPJ1

5 0
1 year ago
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