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Stolb23 [73]
3 years ago
10

Ben is 444 times as old as Ishaan and is also 666 years older than Ishaan.

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0
Let B = age on Ben
and age of Ishaan =I
B =4I
B = 6+I
Gives 6+I = 4I
6 = 3I
I =2 years and B = 4x2 = 8years
Age of Ishaan = 2 years
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25x2 + 5x
poizon [28]

Answer:

option C: 5x+1

Explaination:

take 5x common and simplify

3 0
2 years ago
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
A student wishes to increase an amount by 10% and then by 30%. What is the single multiplier that can be used?
liraira [26]

Step-by-step explanation:

let an amount be a

increase an amount by 10% and then by 30%

= a*1.1 *1.3 = a*1.43

7 0
3 years ago
Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!
Delicious77 [7]

Answer:

x = 51^o

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

x + 23^o + 2x + 4^o = 180^o --- angle on a straight line

Collect like terms

x  + 2x = 180^o - 4^o - 23^o

3x = 153^o

Divide both sides by 3

x = 51^o

5 0
3 years ago
An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

10.69

Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

sin (A_water) = 1 * 0.387 / 1.33

A_water = arc sin (0.2907) = 16.9 °

now for the tank depth:

h = D / tan (A_water)

D = 3.25

Replacing

h = 3.25 / tan 16.9 °

h = 10.69

Therefore the depth is 10.69 meters.

6 0
3 years ago
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