Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5
Answer:
a. Concentration of nitrogen in water draining from fertilized lands
b. Quantitative
c. Water draining from fertilized lands
Step-by-step explanation:
a. Here we are evaluating the Concentration in miligrams of Nitrogen per liter of water, that drains from fertilized lands.. So thats what is defined as the variable.
b. When we talk about qualitative variblaes, we refer to variables that we can't define with numbers. For example the colour of a car, that's a qualitative variable. In this problem, can put a number on the nitrogen concetration. When we can measure the variable with numbers we consider it to be a quantitative variable. Therefore this is a quantitative variable
c. The implied population is the population where we want to interfer the analysis. In here we want to know the concentration of water draining from fertilized lands. So we are using random samples from a lake, and we extrapolate that analysis to a bigger universe, that it´s the water draining from fertilized lands
Answer:
A
Step-by-step explanation:
The equation will be in the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (2.5, 0) ← 2 points on the line
m = 
= - 2
The line crosses the y- axis at (0, 5) ⇒ c = 5
y = - 2x + 5 or
y = 5 - 2x → A
Answer:
Step-by-step explanation:
Step 1: First apply radical rule in the given expression.
![\sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Here, ![\sqrt[3]{7}=7^{\frac{1}{3}}, \sqrt[5]{7}=7^{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D%3D7%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%2C%20%5Csqrt%5B5%5D%7B7%7D%3D7%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D)
The expression becomes ![\frac{\sqrt[3]{7}}{\sqrt[5]{7}}=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%3D%5Cfrac%7B7%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B7%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%7D)
Step 2: Now, apply exponent rule in the above expression
So, the expression becomes, 
.
Step 3: Take cross multiply the denominator and numerator of the fraction in the power of 7.
The answer is .
Hence the simplified form of ![\frac{\sqrt[3]{7}}{\sqrt[5]{7}}=7^{\frac{2}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%3D7%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D)
.
