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3 years ago

10

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

he first term. -68, -136, -204, -272, ... Questions

1 answer:

Viefleur [7K]3 years ago

6 0

Each term differs by -68 and the first term is -68, we have:

$a_{n}=a_1-68(n-1) \implies \\ a_{n}=a_1-68n+68 \implies\\ a_n=-68-68n+68 \implies \\ a_n=-68n$

As an expession it's just -68n.

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9=4/t Math Answer 6th grade problem

miskamm [114]

Multiply by for to get t alone 9 times four is 36

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3 years ago

What is the name of the shapes A,B,D

artcher [175]

Answer:

i believe the bottom is a <em>irregular quadrilateral </em>and the first one is a <em>parallelogram </em>

Step-by-step explanation:

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2 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

3 years ago

Nth term of 8,11,16,23

Dmitry [639]

The ninth term will be 71.

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3 years ago

Change 1.4 to a fraction. <br> 1/4<br> 1 1/4<br> 1 1/2<br> 1 2/5

dusya [7]

1.4
= 1+ 0.4
= 1+ 4/10
= 1+ (4/2) / (10/2)
= 1+ 2/5
= 1 2/5

The final answer is 1 2/5.

3 0

3 years ago

Read 2 more answers