please help! write an expression for the 15th partial sum of the series 5/3 + 4/3 + 1 + ... using summation notation.

Is the square root of 2+1 greater or less than or equal to the square root of 2+2

goldenfox [79]

Answer:

$\sqrt{2 + 1} < \sqrt{2 + 2}$

Step-by-step explanation:

$\sqrt{2 + 1} = \sqrt{3} = 1.73205...$

$\sqrt{2 + 2} = \sqrt{4} = 2$

Since $1.73205... < 2$ , then

$\sqrt{2 + 1} < \sqrt{2 + 2}$

5 0

3 years ago

The given model is a nonlinear function.<br><br> A. True <br> B. False

schepotkina [342]

<h3>Answer: A. True</h3>

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Explanation:

Let x be the number of years since 1995. So x = 0 represents 0 years from 1995, x = 1 is 1 year after 1995, and so on.

The first row of the table is (x,y) = (0, 625) with y being the number of salmon.

The second row is (1, 400).

Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

m = (400 - 625)/(1 - 0)

m = (-225)/1

m = -225

This tells us the salmon population dropped by 225 in the course of a year from 1995 to 1996.

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The third row shows (2, 225). Let's find the slope of the line through the two points (1, 400) and (2, 225)

m = (y2-y1)/(x2-x1)

m = (225 - 400)/(2-1)

m = (-175)/(1)

m = -175

The slope is different from the previous result. Because of this discrepancy, this means we do not have a linear model. The slope should be the same for any two points you pick from this table if you wanted a linear model.

Put another way, there is less steep a drop of the population, and the decay curve is slowly flattening out.

6 0

3 years ago

In simplest form what is 4 fifths squared - 2 fifths

luda_lava [24]

Answer: 6/25

Step-by-step explanation: (4/5)^2 will be 16/25 - 2/5 what make it easier is to get it to the same denominator so 16/25 - 2/5 is equal to 16/25 - 10/25 so the answer is 6/25

5 0

3 years ago

Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC

Mariana [72]

Answer:

1. $y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}$

2. $y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}$

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$ we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of $y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}$

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by $-\frac{1}{slope}$ . For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of $y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}$

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.

6 0

3 years ago

What is the simplified value of the exponential expression 16 1/4 ?

mars1129 [50]

Hi,

The answer is "2"

3 0

4 years ago

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