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vagabundo [1.1K]
2 years ago
9

A recursive formula for the sequence 18,9,4.5,... is

Mathematics
1 answer:
dybincka [34]2 years ago
3 0

Answer:

A1 = 18

A(n) = A (n-1) -2

Step-by-step explanation:

N represents the number in a sequence and the difference in the sequence is -2 since each time the number is listed in the sequence it is divide by 2.

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X² - 6x + 4 = 0<br><br> solve and show work. ...?
ycow [4]
The answer is 3 + √5 and 3 - √5.

This is quadratic equation: x² - 6x + 4 = 0
The general quadratic equation is ax² + bx + c = 0
Our equation can be rewritten: 1x² + (-6)x + 4 = 0
So, in our equation we have: a = 1, b = -6, c = 4

Now, x can be calculated using the formula:x_{1,2}= \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a}
x_{1,2} =\frac{-(-6)+/- \sqrt{ (-6)^{2}-4*1*4 } }{2*1} = \frac{6+/- \sqrt{36-16} }{2} = \frac{6+/- \sqrt{20} }{2} =\frac{6+/- \sqrt{4*5} }{2}=  \\ &#10;=\frac{6+/- \sqrt{4}* \sqrt{5}  }{2} =\frac{2*3+/- 2\sqrt{5}  }{2}= \frac{2(3+/- \sqrt{5}) }{2} =3+/- \sqrt{5}

From here:
x_{1} =3+ \sqrt{5}  \\ &#10;x_{2} =3- \sqrt{5}

6 0
4 years ago
How many gallons of paint are needed to paint one coat, if a gallon of paint covers 400ft squared?
bixtya [17]

Answer:

6.28 gallons

Step-by-step explanation:

first we need to find the area of a half sphere, and then find how much paint will be needed for that area.

The area of a sphere:

a=4 \pi r^2

thus, the area of half a sphere is:

a=2 \pi r^2

we know that the radius is:

r=20ft

we substitute this to find the area of the half sphere (the area they need to paint):

a=2\pi (20ft)^2\\a=2(3.1416) (400ft^2)\\a=2,513.27ft^2

now the question is how many gallons of paint are needed to paint 2,513.27 square feet.

We are told that 1 gallon covers 400 square feet

thus, we must divide 2,513.27 by 400:

\frac{2,513.27ft^2}{400ft^2} =6.28

6.28 gallons of paint are needed.

5 0
3 years ago
50 points and brainiest no trolling pls
Free_Kalibri [48]

The simplified expression of (-5m⁷n⁰p⁵)(2m⁴n³p²)³ / -4m⁹n³p²y is 10m¹⁰n⁶p⁹ / y

<h3>How to simplify an expression?</h3>

The expression can be simplified as follows:

using indices law,

aˣ × aⁿ = aˣ⁺ⁿ

aˣ ÷ aⁿ  = aˣ⁻ⁿ

Therefore,

(-5m⁷n⁰p⁵)(2m⁴n³p²)³ / -4m⁹n³p²y

Hence,

note

n⁰ = 1

(-5m⁷n⁰p⁵)(8m¹²n⁹p⁶) / -4m⁹n³p²y

Therefore,

-40m⁷⁺¹²n⁹p⁵⁺⁶ / -4m⁹n³p²y

Hence,

-40m¹⁹n⁹p¹¹ / -4m⁹n³p²y

10m¹⁹⁻⁹n⁹⁻³p¹¹⁻²y⁻¹

Hence,

10m¹⁰n⁶p⁹ / y

learn more on simplification here: brainly.com/question/17579585

#SPJ1

6 0
2 years ago
In each basket of fruit, there are 3 more apples than pears.
olga nikolaevna [1]

Answer:

p=a+3 okkkkkkkkkkkkkkkkkkkkk

4 0
3 years ago
Label ABC with the following information.<br> m/A = 21°<br> AC = 13<br> Find BC.
yaroslaw [1]

Answer:

BC = 4.7

Step-by-step explanation:

From the question given above, the following data were:

Angle A = 21 °

Hypothenus = AC = 13

Opposite = BC =?

The length of BC can be obtained by using sine ratio as illustrated below:

Sine A = Opposite /Hypothenus

Sine 21 = BC / 13

0.3584 = BC / 13

Cross multiply

BC = 0.3584 × 13

BC = 4.7

Thus, the length of BC is 4.7

7 0
3 years ago
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