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3 years ago

Determine the effective monthly growth rate for a population that grows at a rate of 23% each year

Mathematics

2 answers:

____ [38]3 years ago

7 0

23/12=1.9%..................................

melisa1 [442]3 years ago

6 0

23/12=1.9% the math is easy

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The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two sha

Tamiku [17]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Length of ice cream cone = 6 inch

Diameter of cone = 2 inches

Radius of cone is given by

$\frac{2}{2}=1\ in.$

But according to question, it is cut 0.25 inches from the base and this cut into cylinder and cone.

Since it was cut so close to the base.

So, Height of the cylinder = 0.25 inches

As we know the formula for "Volume of cylinder ":

$Volume=\pi r^2h\\\\Volume=\frac{22}{7}\times 1\times 1\times 0.25\\\\Volume=0.785\ in^3\\\\Volume=0.79\ in^3$

Hence, Option 'C' is correct.

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3 years ago

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Step-by-step explanation:

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VladimirAG [237]

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4 years ago

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Vera_Pavlovna [14]

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3 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago