The radioactive isotope gallium-67, used in the diagnosis of malignant tumors, has a biological
half-life of 46.5 hours. The half-life of the isotope is modeled as A = A0 (
1
2
)
t
h
, where h is the
half-life and t is the time in hours. If we start with 100 milligrams of the isotope, how many
milligrams will be left after: 24 hours, and after 1 week?
Jack wants to join a swimming club for the summer heβs considering two options were see is the total cost for the season and end is the number of swimming lessons
option one is represented by C=50n
Option two is represented by C=43n +25
A system of equations is given below, π‘π₯ + 2π¦ + 3π§ = π 2π₯ + 3π¦ β π‘π§ = π 3π₯ + 5π¦ + (π‘ + 1)π§ = π Where π‘ is an integer and π, π, π are real constants. The system does not have a unique solution, but it is consistent. Show that π + π = π.
A vehicle has a 20-gal tank and gets 15mpg. The number of miles N that can be driven
depends on the amount of gas
A new pizzeria has opened near you home, the owner has decided to offer a 20% discount on
the opening day on the pizza whose original price is x dollars. The owner is offering additional
15% discount coupon to those who agree to fill a feedback form afterwards. You and your
friends have agreed to provide feedback and thus have become entitled to the additional 15%
discount coupon. Use the concept of composite functions to identify the amount that you will
pay after applying the coupon on the sale price.
Name:
YOUR ASSIGNMENT: Factory Lighting Problem
In this assignment, you may work alone, with a partner, or in a small group. Discuss the results
of your work and/or any lingering questions with your teacher.
You are deciding whether to light a new factory using bulb A, bulb B, or bulb C.
β
Which bulb would be better to use on the factory floor?
β
Which bulb would be better to use in the break room?
To answer these questions, you will compare the energy usage of the three bulbs. The amount
of energy the lights use is measured in units of kilowatt-hours. A kilowatt-hour is the amount of
energy needed to provide 1000 watts
On Monday, the Mars rover traveled 330 cm. On Tuesday, it traveled 210 cm. If the rover stopped every 15 cm to recharge, how many more times did it need to recharge on Monday than on Tuesday?
what is the value of 98/128
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number
It is known that a quadratic function
f(x)=ax^2+bx+2 (a<0)
satisfies the relation f(10)=0. Find the largest possible quantity of integer solutions of the inequality ax^4+bx^2+2>0.