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7nadin3 [17]
3 years ago
12

4. The sum of three consecutive odd integers is 36.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

11, 12, 13

Step-by-step explanation:

n, n + 1, n +2

The sum will add to 36

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An average person in the United States throws away 4.5 × 10² grams of trash per day. In 2013, there were about 3.2×106 people in
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Answer:

Since there are 4.5*10^2 grams of trash per day per person, we multiply that by 3.2*10^6 for everyone in the US and then multiply that by 365 to get how much in a year, which is 525600000000 or 5.256*10^11 (I think it's 11)

Step-by-step explanation:

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Help! Exponential Equation WITHOUT CALCULATOR
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3 years ago
Subtract the following complex numbers: (4+4i)-(13+17i) ??
Lady bird [3.3K]

Before combining the real parts and the imaginary parts, line them up vertically as follows:

 4   +   4i

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--------------            Now add up each column.

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3 years ago
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30 POINTS AVAILABLE
kherson [118]

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

3 0
3 years ago
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