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3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State

Mathematics

1 answer:

DerKrebs [107]3 years ago

6 0

I can't plot it for you, but the slope will be the y/x or the rise/run.

You can find the slope by using 2 points of the line and subtracting the (y1-y2)/(x2-x1)

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Another sigma notation question. Please check. Hopefully I did this one correctly!

Neko [114]

Answer:

Your answer is correct. The series is a geometric series with common ratio -1/4 and first term 40. So each term is:

an = 40 (-1/4)^(n−1)

So the sum of the first 10 terms is:

∑(n=1 to 10) [ 40 (-1/4)^(n−1) ]

8 0

3 years ago

a satellite's escape velocity is 6.5 mi/sec, the radius of the earth is 3960 mi, and the earth's gravitational constant is 32.2

Artyom0805 [142]

Answer:

$23.89x10^{6}$ ft

Step-by-step explanation:

$\frac{V^{2} }{R^{2} } = \frac{2g}{R+h} \\$ This is the formula to find satellite's escape velocity V , where R is earth's radius, h is the satellite's height from the earth surface and g is the earth's gravitational constant.

$R^{2}(R+h) \frac{V^{2} }{R^{2} } =R^{2} (R+h)\frac{2g}{R+h}$ (Multiplying to clear the fractions)

(R+h) $V^{2} =R^{2} 2g$

$R+h=\frac{2R^{2}g }{V^{2} }$

$h= \frac{2R^{2} g}{V^{2} } -R$

Now, we can determine height of satellite from the surface of the earth

by putting the values in above equation

$h= \frac{2 * (3960)^{2}*32.2 }{6.5^{2} } -3960\\h= 23.902 x10^{6} - 3960\\ h=23.89x10^{6} ft$

5 0

3 years ago

Which of the following is the correct expanded form for the series below?

Daniel [21]

Answer: Option A is correct that is $1 +1+\frac{1}{2} +\frac{1}{6}$

Explanation:

we will substitute the values of n in given expression

$\sum_{n=1}^{4}\frac{n}{n!}$

when substituting n=1 we get in $\sum_{n=1}^{4}\frac{n}{n!}$ = $\frac{1}{1!}$

when n=2 we get $\frac{2}{2!}$

when n =3 we get $\frac{3}{3!}=\frac{3}{6}=\frac{1}{2}$ ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get $\frac{4}{4!}=\frac{4}{24}=\frac{1}{6}$ ;4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1

3 0

3 years ago

Melissa made a school banner 3 yards long and 11/12 yard wide what is the area of the banner?

Taya2010 [7]

3=36/12
11/12x36/12
396/144
2 3/4

8 0

3 years ago

If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?

musickatia [10]

Answer:

It's the first one

Step-by-step explanation:

4 0

4 years ago