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3 years ago

What are the next two numbers in this pattern? 3, –9, 27, –81, . . .

Mathematics

2 answers:

Romashka [77]3 years ago

8 0

Divide -81 by 27. You get -3.

Divide 27 by -9. You get -3.

Divide -9 by 3. You get -3.

Every new term is the previous term multiplied by -3.

Multiply -81 by -3: -81 * (-3) = 243

Multiply 243 by -3: -3 * 243 = -729

Answer: 243, -729

SVEN [57.7K]3 years ago

7 0

I believe it is 243 and -738

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A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa

Alex_Xolod [135]

Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write

$\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}$

⇒ $AC = 1.7 \times \cos 28 = 1.5$ nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

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2 years ago

The cost of renting a jet ski is $65 per hour. Write an equation to find the cost c of renting a

VARVARA [1.3K]

Answer:

65*h=c

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2 years ago

A certain recipe calls for 2 3/4 cups of sugar.if the recipe is to be doubled, how much sugar should be used

Morgarella [4.7K]

2 and 3/4 + 2 and 3/4 is 5 and 1/2.

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2 years ago

(1). -4 – x=3x +6

Olin [163]

Answer: Hey, It's me, Lily!!

Step-by-step explanation:

1) x = −5/2

2) x = 4

3) x = 5

4) x = 6

5) x = 7

Hope This Helps!! (^ '--')

6 0

2 years ago

Read 2 more answers

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

 $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago