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Murrr4er [49]
3 years ago
9

Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4

, 8, 16, 32 B) 2, 6, 10, 14 C) 4, 6, 8, 10 D) 2, 8, 32, 128
Mathematics
2 answers:
anyanavicka [17]3 years ago
5 0
The answer is A !!!!!!!!
KATRIN_1 [288]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Hello, please consider the following.

f(1)=4*2^0=4\\\\f(2)=4*2^1=8\\\\f(3)=4*2^2=16\\\\f(4)=4*2^3=32

So the correct answer is the first one A.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.​
Law Incorporation [45]

Answer:

y = 3\, \sqrt{5} when x = 9.

Step-by-step explanation:

The question states that y is proportional to \sqrt{x}. In other words, there is a constant a (a \ne 0) such that y = a\, \sqrt{x} for all x \ge 0.

The question also states that y = x when x = 5. Make use of this equality to find the value of a.

Since x = 5 and y = x, it must be true that y = 5. Substitute x = 5\! and y = 5\! into the equation y = a\, \sqrt{x} and solve for a:

5 = a\, \sqrt{5}.

\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}.

Thus, y = \sqrt{5}\, (\sqrt{x}) for all x \ge 0.

Substitute in the value x = 9 to find the corresponding value of y:

\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}.

6 0
2 years ago
Which of the following equations have infinitely many solutions?
olga55 [171]

The  following equations have infinitely many solutions:

6(2x + 4) = 3(4x + 8) ⇒ I

0.5(8x + 4) = 4x + 2 ⇒ II

2(6x + 4) = 4(3x + 2) ⇒ V

The answer is l, ll, and V ⇒ A

Step-by-step explanation:

The equation has infinitely many solutions if:

  • The variable is disappeared
  • Then the numerical terms are equal

I.

∵ 6(2x + 4) = 3(4x + 8)

- Simplify the two sides

∵ 6(2x + 4) = 6(2x) + 6(4) = 12x + 24

∵ 3(4x + 8) = 3(4x) + 3(8) = 12x + 24

∴ 12x + 24 = 12x + 24

- Subtract 12x from both sides

∴ 24 = 24

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

II.

∵ 0.5(8x + 4) = 4x + 2

- Simplify the left hand side

∵ 0.5(8x + 4) = 0.5(8x) + 0.5(4) = 4x + 2

∵ The right hand side is 4x + 2

∴ 4x + 2 = 4x + 2

- Subtract 4x from both sides

∴ 2 = 2

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

III.

∵ 7x + 8 = 7(x + 8)

- Simplify the right hand side

∵ 7(x + 8) = 7(x) + 7(8) = 7x + 56

∴ 7x + 8 = 7x + 56

- Subtract 7x from both sides

∴ 8 = 56 ⇒ it can not be

∴ L.H.S ≠ R.H.S

∴ The equation has no solution

IV.

∵ 3x + 4 = 7x - 2

- Subtract 3x from both sides

∴ 4 = 4x - 2

- Add 2 to both sides

∴ 6 = 4x

- Divide both sides by 4

∴ 1.5 = x

∴ The equation has one solution

V.

∵ 2(6x + 4) = 4(3x + 2)

- Simplify the both sides

∵ 2(6x + 4) = 2(6x) + 2(4) = 12x + 8

∵ 4(3x + 2) = 4(3x) + 4(2) = 12x + 8

∴ 12x + 8 = 12x + 8

- Subtract 12x from both sides

∴ 8 = 8

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

The  following equations have infinitely many solutions:

6(2x + 4) = 3(4x + 8) ⇒ I

0.5(8x + 4) = 4x + 2 ⇒ II

2(6x + 4) = 4(3x + 2) ⇒ V

Learn more:

You can learn more about the solutions of the linear equations in

brainly.com/question/6075514

#LearnwithBrainly

8 0
3 years ago
The ratio of girls to boys is 2:1 and that there are 3 boys, what is the number of girls?
ASHA 777 [7]

Answer:

Step-by-step explanation:

6

6 0
3 years ago
Read 2 more answers
PLS HLP LOTS OF POINTS
cupoosta [38]
380

3 hundreds  8 tens
2 hundreds 18 tens
1 hundred   28 tens
0 hundred   38 tens
5 0
2 years ago
Read 2 more answers
Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime
earnstyle [38]

Answer:

2.69 x 10^{9}

Step-by-step explanation:

We are given the heart's speed - 70 bpm

We count the number of minutes in 73 years :

  • 1 year = 365 days
  • 1 day = 24 hours
  • 1 hour = 60 minutes
  • 73 x 365 x 24 x 60 = 38,368,800 minutes

We multiply the heart's bpm with 73 years worth of minutes

38,368,800 x 70 = 2,685,816,000

Write the number in scientific notation = 2.68581 x 10^{9} ≈ 2.69 x 10^{9}

7 0
3 years ago
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