Answer:
400 ft
Step-by-step explanation:
The building's shadow is 10 times the length of the flagpole's shadow. Since the shadow length is proportional to the object height, the building must be 10 times the height of the flagpole, so is 400 ft tall.
This question is incomplete because the options are missing; here is the complete question:
Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?
A. He can randomly survey 50 boys in the school.
B. He can survey 30 students in the school band.
C. He can randomly survey 50 6th graders in the school.
D. He can survey 20 friends from his neighborhood.
The correct answer is C. He can randomly survey 50 6th graders in the school.
Explanation:
A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.
Answer:
Positive
Step-by-step explanation:
When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.
f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.
<h3>What is the required remainder?</h3>
Given that f(x) is divided by (x+a) and leaves a reminder
Using the remainder theorem for polynomials we get,
f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.
Put x = -a, then
f(-a) = (-a+a)·g(-a) + r
f(-a) = (0)·g(x) + r
f(-a) = r
f(-a) is the remainder.
Hence f(-a) is the remainder when f(x) is divided by (x+a).
Learn more about remainder theorem here:
brainly.com/question/1550437
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3. B
4. A
5. D
I believe these are the answers but if i'm wrong then crud that's "BAD". =D
