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3 years ago

8

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18

, –27, ... –20, 30, –45, ... –18, –16.5, –15, ... –16, –17.5, –19, ...

1 answer:

AlexFokin [52]3 years ago

4 0

It is -16, 17.5, -19, ...

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Find the equation of the exponential function represented by the table below

Gennadij [26K]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation has the form y = 3^x.

Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:

y = 3^(1 + x)

Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)

If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)

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3 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

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3 years ago

What is the probability that the first marble is blue and the second marble is yellow?

Cloud [144]

Answer:

$\frac{1}{14}$

Step-by-step explanation:

<u><em>First time drawing:</em></u>

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

$\frac{2}{8}$ = $\frac{1}{4}$

<u><em>Second time drawing (with no replacement): </em></u>

Total outcome is 7 (8 - 1 = 7)

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

$\frac{2}{7}$

<em>The probability that the first marble is blue and the second marble is yellow is</em> $\frac{1}{4}$ × $\frac{2}{7}$ = $\frac{2}{28}$ = $\frac{1}{14}$

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3 years ago

Find the minimum value of

Lana71 [14]

Answer:

14

Step-by-step explanation:

2x + y = 20 (1)

2x + 3y = 36 (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

⇔ 2y = 16

⇔ y = 8 (3)

From (3) and (1), we have:

2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

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3 years ago

3x+2y=23<br> 1/2x-4=y<br><br> What should I do for this one...? I dont really understand

Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.

$3x+2(1/2x-4)=23\\$

Distribute

$3x+x-8=23$

Combine like terms

$4x-8=23$

Add 8 to both sides

$4x=31$

Divide by 4

and $x=31/4$

Plug this value in for x

$31/4*1/2-4=y$

Simplify

$31/8-4=y$

Multiply everything by 8 and simplify

$31-32=8y\\-1=8y$

Divide.....

$y=-1/8$

Your answers are:

$y=-1/8\\x=31/4$

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3 years ago