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Morgarella [4.7K]
3 years ago
6

What is the third term of the sequence defined by the recursive rule? f(1) = 2 f(n)= 2f(n-1)+1

Mathematics
1 answer:
8090 [49]3 years ago
8 0
The way you worded the question kind of confuses me but i'll try to answer.

Think of recursion like climbing a ladder; in this type of sequence you start out somewhere, usually n. So in f(n-1)+1, you take n (where you started) and "step down" once, and then step up once (which brings you back where you were). Remember PEMDAS when doing these.
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If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
OLga [1]
The some of an Isosceles triangle is 180.

if vertex B = 130 degrees then the other two must be equal 50 degrees.  so you divided 50 by 2 which equals 25.

in this case you have 2 points which equal 50. so you take the one which is the closest to 25. which is the last point. m<A = 20 and m<C + 30.
I hope this is right.
6 0
4 years ago
Plz Help Thanks!!!!!!!
olga2289 [7]
Hey if you change 5/8 into a decimal you get 0.625. if you multiply 80•0.625 you get 50.
6 0
3 years ago
Identify the values of the variables. Give your answers in the simplest radical form.
Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

sin(60) = \frac{9}{k}

Multiply both sides by k

k*sin(60) = 9

Divide both sides by sin(60)

k = \frac{9}{sin(60)}

k = \frac{9}{\frac{\sqrt{3}}{2}}

k = 9*\frac{2}{\sqrt{3}}

k = \frac{18}{\sqrt{3}}

Rationalize

k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{18\sqrt{3}}{3}

k = 6\sqrt{3}

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

tan(60) = \frac{9}{f}

Multiply both sides by f

f*tan(60) = 9

Divide both sides by tan(60)

f = \frac{9}{tan(60)}

k = \frac{9}{\sqrt{3}}

Rationalize

k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{9\sqrt{3}}{3}

k = 3\sqrt{3}

8 0
3 years ago
Mr. Chin went to a store where he spent one-half of his money and then $14 more. He then went to another store where he spent on
ElenaW [278]

Answer:

Before going to the first store he had $ 112.

Step-by-step explanation:

Before going to the first store Mr. Chin had all his money, which we will call by "x". After the first store he had:

y = x/2 - 14

He then went to a second store and he spent all his money in a way that:

y/3 - 14 = 0

Because after that store he had no money left. So we can use the second equation to solve for y and then use that value to solve for x, that is the  amount of money he had before going to the first store. We have:

y/3 = 14

y = 14*3 = 42

From the first equation:

42 = x/2 - 14

x/2 - 14 = 42

x/2 = 42 + 14

x/2 = 56

x = 112

Before going to the first store he had $ 112.

6 0
3 years ago
If a hat costs 15$ and the sales tax is 10% how much money do you need to buy the hat
GREYUIT [131]

Answer:

the answer would be 16.50

6 0
3 years ago
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