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3 years ago

average age of 15 students of iub 11years if teacher is also included average age becomes 13 years how old is teachers

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

Answer: the teacher is 43

Step-by-step explanation: if you take 11 and multiply it by 15 you get 165 if you take 208 and divide it by 16 you get 13.

so basically you subtract 208 from 165 to get 43

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G the population of a town today is 48000 people. if the population decreases with a constant rate of change and the decrease is

tiny-mole [99]

The population in ten years will be 208,000

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3 years ago

What is a domain and range?

natulia [17]

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3 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

In the coordinate plane, the point A (-2,-1) is translated to the point A (-4,0). Under the same translation, the points B (-4,2

Zolol [24]

Answer:

The coordinates for B' would be (-6,1) and the coordinates for C would be (-8,-6)

Step-by-step explanation:

Point A was translated 2 left and 1 down to point A'

B = (-4,2)

-4 - 2 = -6 and 2 - 1 = 1 so B' would equal (-6,1)

C = (-6,-5)

-4 - 2 = -8 and -5 - 1 = -6 so C' would equal (-8,-6)

3 0

2 years ago

North shore bikes rents bikes for $10 plus $4 per hour. Vinnie paid $30 to rent a bike define a variable then write and solve an

ale4655 [162]

Answer:

Step-by-step explanation:

vinnie payed rent for 5 total hours plus the bike itself so 4x5=20

answer 5 hours

5 0

2 years ago