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Answer:

[tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex] OR [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex]

Step-by-step explanation:

The first term is 72, and each term is equal to the previous term multiplied by 1/6. This yields the expression [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex], which is equivalent to [tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex].

Answer:

[tex]n _{th} = n _{1} {r}^{n - 1} \\ n _{th} = 72 \times 12 {}^{(n - 1)} \\ n _{th} = 72 \times ( {12}^{n} .12^(-1)) \\ n _{th} = 6 × {12}^{n} [/tex]

Answer:

sin140°

Step-by-step explanation:

Using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

Given

sin105°cos35° + sin35°cos105°

= sin105°cos35° + cos105°sin35° ← right side of expansion above

= sin(105 + 35)°

= sin140°

12 m

Step-by-step explanation:

24/2 = 12

I hope this helps you, have a good day!

Answer:

answer: 12

Step-by-step explanation:

The radius is just half of the diameter since the diameter is 24 we just have to divide that by 2 to get the answer so 24 ÷ 2 = 12 so 12 is the radius Hope that helps!

Answer:

I think the best answer is Marble

hope this helps

have a good day :)

Step-by-step explanation:

Answer: I would go with B:

Step-by-step explanation: if not then its gott to be A

Answer:

just add all the numbers

Step-by-step explanation:

please follow me,

follow you back...

Answer:

The answers is 17.2 miles

Step-by-step explanation:

Answer:

the yo u thichi cutis lo u you

Answer:

its the same thing look at the coordinates

Step-by-step explanation:

The unit rate of blue beads to red beads in Kyle's bag is 1(1/15).

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Blue beads = 1/3

Red beads = 5/16

The unit rate of blue beads to red beads.

= 1/3 ÷ 5/16

= 1/3 x 16/5

= 16/15

= (16/15) / 1

= 1(1/15) / 1

Thus,

The unit rate is 1(1/15).

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Answer:

B) If you don't do you homework, then you can't go to the movies

Answer:

A) 36 pies

Step-by-step explanation:

Answer:   [tex]2x+44 \le 57\\\\[/tex]

Explanation:

W = width

W = 11

L = length

L = width+x

L = 11+x

P = perimeter of the rectangle

P = 2L+2W

P = 2*(11+x)+2*11

P = 22+2x+22

P = 2x+44

The perimeter is at max 57 units because it is the length of wire used. Think of it like fencing around a piece of land. Be sure not to mix up the length of the wire with the rectangle length; those are two different things.

Anyways, because the perimeter maxes out at 57, this means either P = 57 or P < 57.

This leads to:

[tex]P \le 57\\\\2x+44 \le 57\\\\[/tex]

The lower bound for the number of minutes that it takes for all people to leave is of:

70 minutes.

At a football match, there are 29 800 people, correct to the nearest 100. The fewest number of people that can be there, hence, is of:

29,750.

(as 29749 would be rounded to 29,700).

At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people, hence the fastest rate is given as follows:

424 people per minute.

(as 425 people would be rounded to 450).

Hence the time it would take is obtained applying the proportion as follows:

29750/424 = 70 minutes.

(lower bound is fewest time, hence lowest number of people leaving at the fastest rate).

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Answer:

7.9

Step-by-step explanation:

area of circle equals π× 5 = 15.7

area of half of the circle equals 15.7÷2

=7.85

now round it of and it's 7.9

Answer:

1.74*10^-2

Step-by-step explanation:

use as decimal with ones place times 10 to the powe of minus something

Answer:

there is no graph but it's a positive graph and a few of the points would be (3,-5) (4,-1) (5,3) (6,7)

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

6×6 is 36, and there are two of these squares so the area of the squares together is 72. 3×4 is 12 and 72+12 is 84. Hope this helps :)

Answer:

45x - 8

Step-by-step explanation:

Answer:

Nodijsikmjkf

Step-by-step explanation:

45x-8

Answer:

Since A, O and B are collinear,

i.e.,

∠

A

O

B

=

180

∘

or,

∠

A

O

D

+

∠

D

O

C

+

∠

B

O

C

=

180

∘

(

x

−

10

)

∘

+

(

4

x

−

25

)

∘

+

(

x

+

5

)

∘

=

180

∘

Or,

x

+

4

x

+

x

−

10

∘

−

25

∘

+

5

∘

=

180

∘

Or,

6

x

−

30

∘

=

180

∘

Or,

6

x

=

180

∘

+

30

∘

=

210

∘

Or,

x

=

210

∘

6

=

35

∘

∠

B

O

C

=

x

+

5

∘

=

35

∘

+

5

∘

=

40

∘

Answer:

36 I think

Step-by-step explanation:

jxjejjirirjxjd

Answer:

36

Step-by-step explanation:

4 x 9 = 36

9 x 4 = 36

12 x 3 = 36

On solving the provided question, we can say that by permutation 26 possible letters  x  10 possible digits  = 260 possible plates

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of

26 possible letters  x  10 possible digits  =

26 x 10   =

260 possible plates

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Answer:

C. H0: μ > 2.85. H1: μ ≤ 2.85.

Step-by-step explanation:

hope it helps

Answer:It could be 10, 2, 3

Step-by-step explanation:

basically as long as the lengthxwidthxheight=60, then it should be fine

Answer:

Their are multiple ways you could do this but you can use 10 as the length, 3 as the width, and 2 as the height

Step-by-step explanation:

The formula for the volume of a rectangular prism is v=l*w*h  so plugging in our values would give us 10*3*2 which is equal to 60.

Even though this relationship is proportional, not all of these ratios are equal.

Verify that the ratios provided are equal. The ratios of 3:5 and 15:25 are both equal. Because the first ratio 3: 5 can be derived by multiplying the ratio 15: 25 by 5 on both the numerator and denominator. The initial ratio of 3: 5 can be multiplied by 5 to get the ratio 15: 25, and vice versa.

This indicates that you would require an 8 fl oz can (a quarter of a quart) of Part B if you were ordering a quart of Part A. You will have 1.25 after combining Parts A and B.

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The answer would be −6q−11

Answer:

-6q-11

Step-by-step explanation:

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A. a = 8, b = 15, c = 17

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

17² = 8² + 15²

289 = 64 + 225

289 ≠ 289

Therefore, this is not a right triangle.

B. a = 6, b= 15, c = 18

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

18² = 6² + 15²

324 = 36 + 225

324 ≠ 324

Therefore, this is not a right triangle.

C. a = 7, b = 10, c = 12

We can use the Pythagorean theorem to determine the type of triangle:

c² = a² + b²

12² = 7² + 10²

144 = 49 + 100

144 = 144

Therefore, this is a right triangle.

So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)

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Answer:

Designate the unknown shadow length by s. Shadows cast at the same time and place are proportional to the height of the object casing the shadow. Therefore:

4/6 = s/21, or s = [4(21)]/6 = 14 feet.

Answer:

is A

Step-by-step explanation:

I hope and this helps you

Answer:

211/40, B

Step-by-step explanation:

Make it an improper fraction:

5 x 40 = 200, 200 + 11 = 211

211/40, B

What is the question please?