Answer:
e : g = 2 : 7
Step-by-step explanation:
e/f = 3/7
e = 3f/7
f/g = 2/3
g = 3f/2
e/g = (3f/7)/(3f/2) = 2/7
Answer: B
Step-by-step explanation:
Answer:
x = 2 ±i
Step-by-step explanation:
x^2 = 4x-5
Subtract 4x from each side
x^2 - 4x = 4x-5 -4x
x^2 - 4x= -5
Complete the square
Take the coefficient of the x term, divide by 2 and square it
-4/2 =2 2^2 =4
Add 4 to each side
x^2 -4x+4 = -5 +4
The left side is (x-coefficient of the x term/2)^2
(x-2)^2 = -1
Take the square root of each side
sqrt((x-2)^2) = sqrt(-1)
x-2 = ±i
Add 2 to each side
x-2+2 = 2 ±i
x = 2 ±i
Answer:
Options (1) and (5) are the correct options.
Step-by-step explanation:
See attachment for the complete question.
Simon's work,
Area of the base = B =
=32.5 m²
Volume = Bh = 32.5(12) = 390 m³
Let's check the error's he made.
Area of the base of the triangular prism
B =
B = 30 m²
Volume of the prism = (Area of the triangular base)×(Height)
V = 30 × 4
V = 120 m³
Therefore, Options (1) and (5) are the correct options.
Answer:
911,690.
Step-by-step explanation:
Please consider the complete question.
A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.
We will use exponential growth formula to solve our given problem.
, where,
y = Final value,
a = Initial value,
r = Growth rate in decimal form,



To find the population after 13 years, we will substitute
in population growth equation as:



Upon rounding to nearest whole number, we will get:

Therefore, the population of the city after 13 years would be 911,690.