Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - 
the y- intercept is the value of y where the line crosses the y- axis , then
y- intercept = 2
Answer:
Gradient is 11/4 and y intercept -8
Step-by-step explanation:
11X -4Y =32
transfer 11x on other side
-4y = -11x +32
multiply all termsby -1 so that coefficient of y is positive
4Y = 11X -32
DIVIDE ALL TERMS BY 4
Y = (11/4)X -8
COMPARE THIS WITH Y=mX +C
GRADIENT m is 11/4 and Y intercept C is -8
Gradient is 11/4 and y intercept -8
Area of square = 24cm²
⇒ Length = √24
Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30
The diagonal of half of the square is the radius of the circle.
⇒ radius = √30
Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π
Answer: 15π²
The answer is D. 564
When you put all the numbers in order from least to greatest and find the median which is between 420 and 434, you can then find your upper quartile which would be between 540 and 588 making it D
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The capacity of the metal tank is 
The duration usage is 
The cost of 2000-gallon tank 15 years ago is 
The capacity of the second tank considered is
The power sizing exponent is 
The initial construction cost index is 
The new construction after 15 years cost index is 
Equation for the power sizing exponent is mathematically represented as
![\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}](https://tex.z-dn.net/?f=%5Cfrac%7BP_n%7D%7BP%7D%20%3D%20%5B%5Cfrac%7BC_1%7D%7BC%7D%20%5D%5E%7Be%7D)
=> Here
is the cost of 5,000-gallon tank as at 15 years ago
So
![P_n = [\frac{5000}{2000} ] ^{0.57} * 100000](https://tex.z-dn.net/?f=P_n%20%20%3D%20%20%5B%5Cfrac%7B5000%7D%7B2000%7D%20%5D%20%5E%7B0.57%7D%20%2A%20100000)

Equation for the cost index exponent is mathematically represented as

Here
is the cost of 5,000-gallon tank today
So

=> 
=> 