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galben [10]
4 years ago
12

Which choice names a radius of circle F?

Mathematics
1 answer:
fgiga [73]4 years ago
4 0
In the drawing,  FA,  FB,  FC,  FD,  and  FE  are all radiusses.

The only one that's listed among the choices is choice-D.
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The function A=A_oe^{-0.01155x} A = A o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in
vivado [14]

They are essentially asking us to solve:

357=900e^{-0.01155x} \implies\\ \frac{357}{900}=e^{-0.01155x} \implies\\ \ln{\frac{357}{900}}=-0.01155x \implies \\ x\approx 80.1

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.

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Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8,2)
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...6 and 10 are roots, so x – 6 and x – 10 are factors.
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2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
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7 0
4 years ago
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per​ te
nikitadnepr [17]

This question is incomplete

Complete Question

An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 132 students​?

Answer:

a)How many students does the academy have per​ teacher?

22 students per teacher

b) Per​ tutor?

11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

12 tutors

Step-by-step explanation:

a)How many students does the academy have per​ teacher?

6 teachers = 132 students

1 teacher = x

6 × x = 132 × 1

x = 132 × 1/6

x = 22 students

Hence, we have 22 students per tutor

b) Per​ tutor?

4 tutors = 44 students

1 tutor = x students

Cross Multiply

4 × x = 1 × 44

x = 44/4

x = 11 students

Hence, we have 11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

44 students = 4 tutors

132 students = x tutors

Cross Multiply

44 × x = 132 × 4

44x = 132 × 4

x = 132 × 4/44

x = 12 tutors

The academy needs 12 tutors if they have 132 students.

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