Answer:
The COMMON RATIO of the sequence is -2.
Step-by-step explanation:
Here, the given sequence is:
5, -10, 20 ,-40
Here, The first term ( a 1 ) of the sequence is (5)
The second term (a 2) of the sequence is (-10)
Third term of sequence (a 3) is 20
Now, calculating the common ratio (r) of sequence ,we get:
So, here r =(-2)
⇒ The COMMON RATIO of the sequence is -2.
Hence, the given sequence in in GEOMETRIC PROGRESSION.
Prompt Becoming a Lifelong Learner Learning a language opens doors to a world of opportunity. Of course, in order to really benefit from your studies, you’ll need to do more than just complete assignments. You’ll need to set habits that will tie you to French and its cultures even beyond the classroom. Students who become lifelong learners of French have some basic characteristics and habits that you should develop if you want to get the most from your experience learning French Here are some of them: Lifelong learners: Have friends with whom they regularly converse in the target language. (This could be friends in school, neighbors or friends in the community.) Regularly get information from target language sources (newspapers, magazines, Internet French related news group (with parent’s approval), TV programs, radio, etc. that are produced by and for native speakers.) Participate in activities of the target culture (celebrating holidays, seeing movies or plays of/in the target culture, preparing or eating dishes from the target culture, reading books or magazines from the target culture, etc.) Someone who has developed these habits is on the way to becoming a lifelong learner. These types of habits reinforce a strong connection to the language and culture and develop a love and better understanding of that culture. Think for a minute about the resources available. Do you have friends who are native French speakers? Do you ever watch French channels on television? You can probably think of several online sources. Maybe you have some stores or restaurants in your community that are run or frequented by French speakers. Also think about when you could do this on a regular basis—remember that it’s setting the habits that will make the most difference. Using the table below as a guideline, write what you plan to do. For the Language or Culture Resources column, try to identify three different resources: 1. A friend or contact 2. An information source, and 3. A cultural activity. In the What I Will Do column, describe as specifically as you can what you will do. And in the When I Will Do It column, write when you plan on doing these activities. See the sample below to see how you might fill out your own table. You will have opportunities to follow up and report on your regular practice of engaging French resources close to home. You will be asked in a follow up assignment to report on what you have done. Language or Culture Resources: What I Will Do: When I Will Do It: 1 1 1 2 2 2 3 3 3 *Sample: Language or Culture Resources: What I Will Do: When I Will Do It: 1. French exchange student 1. I will practice French…. 1. M-F between 9 and 10 am. 2. French newspaper: JDD.fr 2. I will read an article a week 2. Every Tuesday at 3:00pm 3. French films 3. I will see a French film every month 3. The first Friday of every month. If you are still unsure where to begin, ask your teacher for additional ideas that can help get you started. Regardless of how you go about making your French cultural connection, be sure to make a plan and to think about a longer-term strategy for getting the most from your time with your chosen resources. **Start your plan next week. You will report on this assignment towards the end of the semester. The final report will be worth 50 points. This assignment is worth 20
When two variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other.
Answer:
D
Step-by-step explanation:
find the slope (-3,1), and see the shaded region for if it's over or under the line
Answer: radius r = 2 inches
height h = 6 inches
Step-by-step explanation:
Given;
Volume V = 24πin3
Volume of a cylinder is given by
V = πr^2h
h = V/πr^2. ....1
Where, h = height and r = radius of cylinder
For the surface area of the cylinder with open top. we have,
S = 2πrh + πr^2
For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.
Then, for the bottom will be 3k
Total cost will be represented by C, which gives
C = 2πrhk + 3πr^2k. .....2
Substituting eqn 1 to 2, we have;
C = 2πrVk/πr^2 + 3πr^2k
C = 2Vk/r + 3πr^2k
The material cost is minimum at dC/dr = 0
dC/dr = -2Vk/r^2 + 6πrk =0
6πrk = 2Vk/r^2
r^3 = 2V/6π
r = (2×24π/6π)^-3
r = (8)^-3
r = 2
Substituting r = 2 into eqn1
h = 24π/π(2^2)
h = 24/4 = 6
h = 6
