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8 days ago

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in the sequence of numbers a3=0 a4=6 a5=12 a6=18 a7=24 based on this information which equation can be used on the nth term in t

he sequence an

2 answers:

zzz [4K]8 days ago

6 0

This represents an=(n-3)*6
For a3= (3-3)*6

Inessa [3.9K]8 days ago

4 0

Answer:Tnth=6n-6

Detailed explanation:

a3=0,a4=6,a5=12,a6=18,a7=24

Given the numbers, it indicates an arithmetic progression as the common difference (d) is a6-a5=18-12=6

a2=a3-6=

a2=0-6=-6

a1=a2-6

a1=-6-6

a1=-12

Tnth=a+d(n-1)

Tnth=-12+6(n-1)

Tnth=-12+6n+6

Combining like terms yields

Tnth=-12+6+6n

Tnth=6n-6

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Zina [3917]

Answer:

The price per kilogram of salami amounts to = $9.1

Step-by-step explanation:

Given:

Hailey spent $13 on $1\frac{3}{7}$ kg of sliced salami.

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Solution:

We will use the unitary method to find the cost for one kilogram of salami.

If $1\frac{3}{7}$ kg of salami costs $13

Then the cost for 1 kg of salami in dollars = $13\div 1\frac{3}{7}$

When dividing mixed numbers, we convert them to fractions.

⇒ $13\div \frac{(7\times1)+3}{7}$

⇒ $13\div \frac{10}{7}$

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11 days ago

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When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is t

zzz [4035]

The flea experiences an acceleration of 1,000 m/s².

Detailed explanation

This scenario involves motion with constant acceleration.

The relevant variables include the following.

$\boxed{u \ or \ v_i = initial \ velocity}$

$\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}$

$\boxed{a = acceleration \ (constant)}$

$\boxed{d = distance \ travelled}$

We know the flea attains a takeoff velocity of 1.0 m/s over a distance of 0.50 mm.

The flea starts from rest, so the initial velocity is zero. The question asks for the flea's acceleration during leg extension.

The equation we apply is:

$\boxed{ \ v^2 = u^2 + 2ad \ }$

a = acceleration (m/s²)
u = initial speed = 0 m/s
v = takeoff velocity = 1.0 m/s
d = displacement = 0.50 mm

First, convert 0.50 mm to meters: $\boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}$

Solution steps:

Rearrange the formula to isolate acceleration (a).

$\boxed{ \ v^2 = u^2 + 2ad \ }$

$\boxed{ \ v^2 - u^2 = 2ad \ }$

$\boxed{ \ 2ad = v^2 - u^2 \ }$

$\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }$

Insert the given values into the rearranged equation.

$\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }$

$\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }$

$\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }$

$\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }$

This yields the flea's acceleration as 1,000 m/s².

Additional resources

Scientific notation: brainly.com/question/7263463
Determining substance mass: brainly.com/question/4053884
Conversion into cubic units: brainly.com/question/1446243

Keywords: flea, jumping, leg extension, takeoff velocity, initial speed, displacement, acceleration, constant acceleration, unit conversion

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Inessa [3926]

Answer:

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Initial Usage Date: 12/7/2016

Detailed Breakdown:

An illustrative depiction of the question has been provided in an image format for clarity.

From the information given, it is noted that her store order arrived on 12/3/2016 at 4am, confirming that both the prep date and time are 12/3/2016 and 4am respectively. The product has a printed expiration date of 1/17/2017, logically indicating that its expiration time is also 4am, in line with the prep time; adding 24 hours leads us back to the same time on the expiration date. Furthermore, we were informed that she utilized the product on 12/7/2016, which marks the initial use date. Based on this information, we can summarize as follows:

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Answer:

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babunello [3666]

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