Question 7: e math instruction, can u guys help me?

Mathematics

1 answer:

eimsori [14]3 years ago

6 0

A) n(0) = 20 because n(0) = 20(2)^0 and anything to the power 0 is 1. The reason that any number to the zero power is 1 is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Thus, n(0) = 20(1) = 20. In terms of the situation, if 0 days have passed since Monday, 20 people know about the rumor.

b) n(-2) = 20(2)^-2 = 20* 1/(2^2)
=20/(2^2) = 20/4 = 5.

In terms of the situation, two days before Monday, 5 people know the rumor.

You might be interested in

Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$