All categories

3 years ago

Make a conjecture about the next item in the sequence. 1, 1, 2, 3, 5, 8

Mathematics

2 answers:

Andru [333]3 years ago

7 0

The answer is C.13 because as it seems
1+1=2
1+2=3
2+3=5
3+5=8 then
5+8=13

Diano4ka-milaya [45]3 years ago

5 0

D 14 because d is the only answer that makes sense

You might be interested in

8 divided by 1/3 simplest form

Anarel [89]

$\frac{8}{\frac{1}{3} } = 8 * \frac{3}{1} = 8 *3 = 24$

Hope that helps!

4 0

2 years ago

PLEASE HELP 25 X 120 y = [ ?]

lukranit [14]

Answer:

the sum of one interior angle and one exterior angle is 180

x+120=180

x=180-120

x=60°

sum of angles in a triangle is 180

y+60+25=180

y+85=180

y=180-85

y=95°

3 0

3 years ago

What is the likelihood of rolling a 10 on a fair number cube numbered 1-6?

inysia [295]

Answer:

equal is my answer ................

7 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

6 0

4 years ago

In Manchester, 3 of the 18 radio stations play country music.

Kazeer [188]

Answer:

There is a one in six chance that a randomly selected radio plays country music.

Step-by-step explanation:

There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6

8 0

2 years ago