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2 years ago

Find the 13th term of the geometric sequence 6, -30,150

Mathematics

1 answer:

sladkih [1.3K]2 years ago

6 0

Answer:

Step-by-step explanation:

$a_1=6\\a_2=-30\\a_3=150\\\\\dfrac{a_2}{a_1}=\dfrac{-30}{6}=-5\quad\wedge\quad \dfrac{a_2}{a_2}=\dfrac{150}{-30}=-5\quad\implies\ \ q=-5\\\\\\a_n=a_1\cdot q^{n-1}\\\\a_{13}=a_1\cdot q^{12}=6\cdot(-5)^{12}=6\cdot244140625=1464843750$

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The distance around a rectangular cafe is 35m . The ratio of length of the cafe to the width is 3:2. Find the dimension of the

marusya05 [52]

Hi there! :)

Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

Ratio of l to w = 3 : 2

Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

35 = 2(3x) + 2(2x)

35 = 6x + 4x

35 = 10x

x = 3.5

Plug this value of "x" into each expression to solve for the dimensions:

2(3.5) = w

w = 7 m

3(3.5) = l

l = 10.5 m

Therefore, the dimensions are:

Length = 10.5 m, width = 7 m.

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3 years ago

Complete the equation: x^2+8x + _=(_)^2

pentagon [3]

Answer:

x^2+8x+16=(x-4)^2

EXPLANATION:

(a+b)^2=a2+2.a.b+b2

we have to break the middle term in 2ab here a is x then 2xb=8x, => b=4, but value of a and b to get the required equation!

8 0

3 years ago

3/6 + 1/2 what is the answer.

Simora [160]

Answer:

reduce 3/6 to lowest terms which would be, 1/2 because 3 goes into 3 once and 3 goes into 6 twice.

Making your equation simplified to

1/2 + 1/2

which is equal to 1

1/2 + 1/2 = 1

Step-by-step explanation:

Hope this helps! Have a fantastic day and please mark brainliest

4 0

3 years ago

Read 2 more answers

1. Find the volume of a cone with a height of 4.8 m and a diameter of 8.4 m.

andrey2020 [161]

Answer:

Step-by-step explanation:

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3 years ago

Carl and rose live in the same straight road. From their balconies they can see a flagpole in the distance. The angle that each

Andreyy89

Carl and Rose' balconies make up the base of an isosceles triangle.

Their distances from the flagpole is the same.

From the question, we understand that:

Carl and Rose live on a straight line
The measure of angle from each person's balcony to the flagpole is the same

The above highlights mean that:

The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.

Where Carl and Rose' balconies form the base of the isosceles triangle.

Hence, their distances from the flagpole is the same.