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antoniya [11.8K]

2 years ago

15

Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the

sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.

2 answers:

Kazeer [188]2 years ago

5 0

<span>The domain of the sequence is all natural numbers
</span><span>The 4th term of the sequence is 9
</span><span> (4, 9) lies on the graph of the sequence.</span>

Marrrta [24]2 years ago

4 0

Answer: The correct statements are, The 4th term of the sequence is 9, The domain of the sequence is all natural numbers, and (4,9) lies on the graph.

Step-by-step explanation:

Since, the given sequence, –3, 5, –7, 9, –11, …..

So, we can say that the above sequence has infinite number of terms.

And, we know that the infinite series has the domain of all natural numbers.

So the domain of above sequence = set of all natural numbers.

Since, the 4th term of the sequence = 9

Therefore (4,9) lie on the graph of sequence.

And the 5th term of the function = -11

therefore f(5) = -11

Thus, from the above explanation we can determine the correct statements.

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I go to the store and buy instant noodles for 7.75 pesos, can of sardines for 16.00 pesos and 2 sachets of coffee for 12.25 peso

Elena-2011 [213]

Answer:

36.00 pesos or $1.73

Step-by-step explanation:

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5 0

2 years ago

A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi

Butoxors [25]

Answer:

$Area = 4x^2 - 14x + 10$

Step-by-step explanation:

<em>See Attachment for Complete Question</em>

Given

$Width = 5mi$ --- For the forest

$Length = 2mi$ -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

$Width = 5 - (x + x)$

$Width = 5 - 2x$

$Height = 2 - (x +x)$

$Height = 2 - 2x$

The area is then calculated as follows;

$Area = Width * Height$

$Area = (5 - 2x) * (2 - 2x)$

Expand

$Area = 5(2 - 2x) -2x(2 - 2x)$

Open Brackets

$Area = 10 - 10x - 4x + 4x^2$

$Area = 10 - 14x + 4x^2$

Reorder

$Area = 4x^2 - 14x + 10$

Hence; the required polynomial for the habitat area is:

$Area = 4x^2 - 14x + 10$

3 0

2 years ago

Carlos is giving his friend in another state a new umbrella as a gift. He wants to ship the umbrella in a box he already has. Wh

notka56 [123]

Answer:

<h2>He could use the medium box.</h2>

Step-by-step explanation:

Notice that the umbrella is 37.5 inches long.

If you observe, each box doesn't have 37 inches wide, however, they are tridimensional figures, which means they have a certaing height.

So, the smalle box is too small to fit the umbrella.

But, the medium box is perfect, because it has 27 inches wide and 27 inches height, which is enough to fit the umbrella. These are the best dimensions to send the umbrella.

Therefore, the medium box is the answer, the one that has dimensions 27x14x27.

6 0

2 years ago

Read 2 more answers

What is the true solution to the equation below?

jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$

$e^{ln(a)}=a$

$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$

If ㏑(a) = ㏑(b), then a = b

∴ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

Use the 2nd rule to simplify it

$e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\$

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

$ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)$

Use the 4th rule

$\frac{2}{5} x = 30$

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0

2 years ago

Lightning strikes earth 1000 times in 10 sec. how many times does lightning strike per sec?

atroni [7]

Simple division:

The amount/number of seconds=amount per second.

1000/10=100

Lightning strikes earth 100 times per second.

6 0

2 years ago