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3 years ago

Which recursive definition could be used to generate the sequence {3, 6, 3, 6, 3,...}? A) a1 = 3 and an = an-1 + 3n

1 answer:

8 0

The answer is choice C

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You start off with the first term being a1 = 3

Then you add on 3 to get to 6 as the second term

The next thing to do is add on -3, which is the same as subtracting 3, to get back to 3 once more.

This pattern continues on forever. To ensure you add on either +3 or -3 to the previous term, we add on the general term 3*(-1)^n

Overall, the nth term is found by a(n) = a(n-1) + 3*(-1)^n, which is what choice C shows. I'm assuming your teacher meant to write 3(-1)^n instead of 3(-1)n

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Chris is standing due south of a 20m flagpole at a point where the angle of elevation of the top of the pole is 35. Brandyn is s

Airida [17]

Answer:

Brandyn is 41.48m from Chris

Step-by-step explanation:

I have drawn an image depicting this question and I've attached it.

From the diagram, chris is standing at point B while Brandyn is at point D. x is the distance of brandyn to the bottom of the pole.

The height of the pole is AC.

Now, by trigonometric ratio, we can find AC. Thus;

AC/20 = tan 35

AC = 20 tan 35

AC = 14

Since,we now have AC, we can find x.

Similarly, 14/x = tan 27

x = 14 / tan 27

x = 27.48 m

Thus, total distance of brandyn from Chris = 14 + 27.48 = 41.48 m

7 0

3 years ago

Find the perimeter and area. (plz help with the answer)

ikadub [295]

Hello!

PERIMETER:

To find the perimeter of the trapezoid, simply add all sides together.

15 + 5 + 9 + 5 = 34

The perimeter is $\boxed{ \bf 34~units.}$

____________________________________________________________

AREA:

A = $\frac{1}{2}$ h( $b_{1}$ + $b_{2}$ )

A = $\frac{1}{2}$ 4(9 + 15)

A = $\frac{1}{2}$ 4(24)

A = 2(24)

A = 48

The area of the trapezoid is $\boxed{ \bf 48~units^2}$

5 0

3 years ago

What is the area of a regular triangle with perimeter = 36 in??

Pavel [41]

Answer:

Step-by-step explanation:

Equilateral triangle

Solve for area

A≈62.35in²

P Perimeter

Using the formulas

A=3

4a2

P=3a

Solving forA

A=3P2

36=3·362

36≈62.35383in²

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cbold%7B%5Cunderline%7B%5Cunderline%7BQuestion%3A%7D%7D%7D%7D" id="TexForm

Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

2 years ago

Can someone please give me the answer I will mark u brilliant

otez555 [7]

Answer:

4. option A ---> m = 65h

Step-by-step explanation:

According to the question it states that,

m --> number of miles traveled.
h --> over hours

Now if we look at the table we need to find the starting point, or in other words, how much distance traveled in 0 hours. So we would divide miles / hours.

*Four hours, the variable in the question and in the table says n, but the answer choices says h, so I am saying h for hours just if you were wondering on it.*

distance (m) / hours (h)

130 / 2 = 65

195 / 3 = 65

325 / 5 = 65

455 / 7 = 65

So, our starting point, or numbers of miles traveled in 0 hours was 65. Now let us form an equation.

m = 65h

I would appreciate if you give me the brainlist or not. Hope this helps and stay safe, happy, an healthy, thank you :) !!

3 0

3 years ago