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4 years ago

A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 12 hours?

Mathematics

2 answers:

anzhelika [568]4 years ago

7 0

470 miles in 2 hrs......470/2 = 235 per hr

in 12 hrs...
235 * 12 = 2820 miles <==

ss7ja [257]4 years ago

3 0

2,820 miles should be Correct.

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Which sequences are geometric sequences? Check all that apply. 4, 2, 1, One-half,One-fourth,... −2, 3, −4, 5, −6, … 2, 6, 18, 54

hjlf

Answer:

(1)We get that all terms have same $(r)$ then It is a Geometric Sequence.

(2)We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3)We get the common ratio is same then it is a Geometric Sequence

(4)We get the common ratio is same then it is a Geometric Sequence.

(5)We get Common ratio of given sequence is not same. It is not an geometric sequence.

Step-by-step explanation:

Here, The Geometric Progression in the form:

$G.P: a, ar, ar^{2}, ar^{3}, ar^{4}, ar^{5}........................................., ar^{n-1}, ar^{n}.$

Where $a - First\ term\\r - Common \ ratio\\n - Number\ of\ terms\ of\ an\ progression$

So, Check all that apply.

(1) $4,2,1,\frac{1}{2},\frac{1}{4}$

For the geometric Sequence Common ratio $(r)$ must be same.

⇒ $r= \frac{ar^{n} }{ar^{n-1} }$

Then, Finding $(r)$ for given sequence

$r=\frac{a_{2} }{a_{1} } =\frac{a_{3} }{a_{2} } =\frac{a_{4} }{a_{3} }............................\frac{ar^{n} }{ar^{n-1} } .$

∴ $r= \frac{2}{4}=\frac{1}{2}=\frac{\frac{1}{2} }{1} =\frac{\frac{1}{4} }{\frac{1}{2} }$

⇒ $r= \frac{1}{2}=\frac{1}{2}=\frac{1}{2} } = \frac{1}{2} }$

Clearly,

We get that all terms have same $(r)$ then It is a Geometric Sequence.

(2) $-2, 3,-4,5,-6.........$

Same as above we will check the common ratio

⇒ $r=\frac{3}{-2} =\frac{-4}{3} =\frac{5}{-4}=\frac{-6}{5}$

⇒ $r=\frac{3}{-2} \neq \frac{-4}{3} \neq \frac{5}{-4}\neq \frac{-6}{5}$

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

(3) $2,6,18,54,162.................$

Now checking common Ratio $(r)$

⇒ $r=\frac{6}{2} =\frac{18}{6} =\frac{54}{18}=\frac{162}{54}$

⇒ $r=3=3=3=3$

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(4) $-4,-16,-64,-256.........$

Now checking common Ratio $(r)$

⇒ $r=\frac{-16}{-4} =\frac{-64}{-16} =\frac{-256}{-64}$

⇒ $r=4=4=4$

Therefore,

We get the common ratio is same then it is a Geometric Sequence.

(5) $-2,-4,-12,-48,-240............................$

Now checking common Ratio $(r)$

⇒ $r=\frac{-4}{-2} =\frac{-12}{-4} =\frac{-48}{-12}=\frac{-240}{-48}$

⇒ $r= 2\neq 3\neq 4\neq 5$

Clearly,

We get Common ratio of given sequence is not same. It is not an geometric sequence.

8 0

3 years ago

Read 2 more answers

20 points for this question:<br><br> Find the domain.

Yuliya22 [10]

Answer:

The Domain D = {y ∈ R / y ≠ $\dfrac{b}{2}$ y ≠ 0}

Step-by-step explanation:

Let ,

f(y) = $\dfrac{b^{2} - 4by }{2y^{2} - by }$ - $\dfrac{4y}{b-2y}$

The above function would be defined only when the denominator of anyone or both the terms of the function do not become 0 -

$2y^{2} - by$ ≠ 0 and b - 2y ≠ 0

∴ y(2y - b) ≠ 0 and y ≠ $\dfrac{b}{2}$

Either y ≠ 0 or y ≠ $\dfrac{b}{2}$

∵ The domain of a function consists of only those points where the function is defined -

The Domain D consists of all y ∈ Real numbers such that y ≠ 0 and y ≠ $\dfrac{b}{2}$

7 0

3 years ago

) Supriya makes papadums to sell in her food truck. She uses 12 oz of dough to make each batch.

Anna11 [10]

The number of batches she can make is = 5 batches

<h3>Calculation of total number of batches</h3>

The amount of dough used to make each batch = 12oz

The total amount of dough she has= 60oz

Therefore, the number of batches she can make from the total dough available = b

Using the equation:

(dough for one batch) × (number of batches) = (total amount of dough)

which is = 12× b = 60

b= 60/12

b= 5 batches

Learn more about batches here:

brainly.com/question/25770607

4 0

2 years ago

A savings account balance was $135.10 before withdrawal of $60 a deposit of $22.50 and the withdrawal of $45 what was the balanc

Kaylis [27]

Answer:

Balance after the withdrawals and deposit = $52.6Step-by-step explanation:

Savings account balance = $135.10

Total withdraws = $60 + $45 = $105

Deposit = $22.50

Balance after the withdrawals and deposit = Savings account balance + Deposit - Total withdraws

= $135.10 + $22.50 - $105

= $52.6

5 0

3 years ago

The mass of 5m^3 of copper is 44800kg. Work out the density of copper.

snow_tiger [21]

Okay so

Density= mass/volume

44800 kg/5m^3 = 8960kg/m^3
which units are preferred?

1000g/kg
1000000 cm ^3/ m^3

8 0

4 years ago