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docker41 [41]
3 years ago
11

I will you brainiest if you can answer this

Mathematics
1 answer:
Trava [24]3 years ago
3 0
The answer is =3125x
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In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i
levacccp [35]
The sequence is given as follow
3a,3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

\frac{3 a^{2}b }{3a} =ab
\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab
\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab

The term to term rule is multiplied by ab

The 5^{th} term is given 3 a ^{4} b^{3}×ab=3 a^{5} b^{4}

The 6^{th} term is given by 3 a^{5} b^{4}×ab=3 a^{6}  b^{5}


8 0
3 years ago
What is the difference between points F (2,9) and G (4,14) round to the nearest whole number.
Sonbull [250]

Answer:

3,15

Step-by-step explanation:

took the test boi

7 0
3 years ago
Pleaseee helpppp I really need it now please
lozanna [386]

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

5 0
2 years ago
A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,
tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

7 0
3 years ago
A rectangular prism has the following dimensions. length: 18 inches width: 1 foot height: 14 inches If all the dimensions of thi
mojhsa [17]

Answer:

11,448 in²

Step-by-step explanation:

The area can be computed from ...

... A = 2(LW +H(L+W))

For the given prism, the area will be ...

... A = 2(18·12 +14(18+12)) = 2(216 +420) = 1272 . . . . in²

The area of a similar figure with dimensions 3 times as long will be 3² times as much. The area of the new figure is ...

... A = 3²×(1272 in²) = 11,448 in²

3 0
3 years ago
Read 2 more answers
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