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oksano4ka [1.4K]
3 years ago
7

HELP

Mathematics
1 answer:
evablogger [386]3 years ago
7 0
We'd have to simply divide the total amount of hours by the total amount of episodes. This would be 10.5 / 14 = 0.75

So now, let's check if this is correct by multiplying 0.75 * 14 which should give us 10.5.

So the answer would be: 0.75 hours per episode.
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1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
3 years ago
Mary borrowed $6000 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan was $7
daser333 [38]
4.17




Step by step : I don’t know if it’s right but I did $6000 x 3 cause he did it for 3 year and then it came up to $18,000 then I did what is the percentage of 750$ in $18,000 and got 4.17
3 0
3 years ago
Last one please explain and give answer
nlexa [21]

4p - 5 (p + 6 )

4p - 5p - 30

-p -30

this is the answer.

hope it helps.

4 0
3 years ago
Caroline bakes cookies in batches of 24. If she bakes 3 batches of cookies per week, how many weeks would it take her to bake 2,
kicyunya [14]

Answer: 29 weeks

Step-by-step explanation:

From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:

= 24 × 3

= 72 cookies

The number of weeks that would take her to bake 2,088 cookies will be:

= 2088 / 72

= 29 weeks

5 0
3 years ago
Plzzz someone help me
konstantin123 [22]
The Answer is b The numerical values of the circumference and area are equal.
6 0
3 years ago
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