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2 years ago

1,5,25,61.....What's following number?

Mathematics

1 answer:

Lana71 [14]2 years ago

3 0

Given:

1,5,25,61.....

To find:

The following number.

Solution:

We can see a pattern in the given sequence.

$(-1)^2+(0)^2=1+0=1$

$(1)^2+(2)^2=1+4=5$

$(3)^2+(4)^2=9+16=25$

$(5)^2+(6)^2=25+36=61$

Using this pattern the next term is the sum of squares of 7 and 8.

$(7)^2+(8)^2=49+64=113$

Therefore, the next number is 113.

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The lab experiment is repeated again with the same two glass plates and the same sodium lamp but with a different human hair. Th

OleMash [197]

Answer:

diamerer of the hair (t) 3.11 X 10^{-5} m

Step-by-step explanation:

The first dark spot is at the zero location where the glass plates touch. To find the number of dark fringes after first dark fringe, divide 12 cm by 0.75 mm (.075 cm)

12/.075 = 160.0

total number of additional bright fringe is 156 because there is no further portion for extra dark fringe.

diamerer of the hair (t) can be derived as

2nt = (m + .5)*wavelength

2(1.52)(t) = (160.5)(589.3 X 10^{-9})

t = 3.11 X 10^{-5} m

4 0

2 years ago

An airport has two long term parking lots. the cost to park,y, in each lot for x days is shown in the tables

Licemer1 [7]

Answer:

y = 4x + 12 will be the other equation.

Step-by-step explanation:

Data given in the tables show a linear relation (has a common data).

To get the linear relation, we will choose the two points from table (1) .

Let the points are (1, 16) and (2, 20).

Slope of the line 'm' = $\frac{\triangle{y}}{\triangle{x}}$

m = $\frac{20-16}{2-1}$

m = $\frac{4}{1}$

m = 4

Equation of the line passing through (1, 16) having slope = 4

y - 16 = 4(x - 1)

y = 4(x - 1) + 16

y = 4x - 4 + 16

y = 4x + 12

Now we take second set of data,

We choose two points (1, 6) and (2, 12).

Slope 'm' = $\frac{\triangle{y}}{\triangle{x}}$

m = $\frac{12-6}{2-1}$

m = 6

Equation of the line passing through (1, 6) having slope = 6

y - 6 = 6(x - 1)

y = 6x - 6 + 6

y = 6x

Therefore, other equation of the system of equations will be,

y = 4x + 12

8 0

2 years ago

A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers

Schach [20]

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

$182000x=240*42000\\$

$182000x=10080000$

$\frac{182000x}{182000} =\frac{1008000}{182000}$

$x =55.38min$

Hope this helps you.

Let me know if you have any other questions :-)

6 0

2 years ago

Solve the equation: 16 = 2x - 6

Tom [10]

the answer 11

Step-by-step explanation:

6+16=22

22÷2=11

6 0

2 years ago

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Hey i need some help ill give you brainest 2. Ms. Juhal was making t-shirts. One of the designs had the instructions to make poi

liubo4ka [24]

a is the best way to find it if there is points involved so keep that in mind

8 0

2 years ago

1,5,25,61.....What's following number? ​

1,5,25,61.....What's following number?