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1 year ago

Asher pays 156 every 6 weeks for piano lessons. What is the price per year for piano lessons?

2 answers:

6 0

About 1352
There r about 52 weeks in a year
Divide 52 by 6 = 8.66666667
Multiply 8.6666667 by 156 you will get 1352 per year

Jet001 [13]1 year ago

5 0

Answer:

$1,352 per year

Step-by-step explanation:

Since Asher pays for 6 weeks of piano lessons = $156

Asher pays for 1 week of piano lessons = $\frac{156}{6}$

= $26 per week

There are 52 weeks in one year.

Therefore, the price per year for piano lessons = 26 × 52

= $1,352

The price for piano lessons for one year would be $1,352.

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AlekseyPX

Answer: D. $f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)$

Step-by-step explanation:

The given sequence: $4, -2,1,\dfrac{-1}{2},\dfrac14,....$

Here, first term: $f(1)=4$

Second term: $f(2)=-2$

Third term : $f(3)=\dfrac{-1}{2}$

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: $r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}$

So, $f(n+1)=\dfrac{-1}{2}f(n)$ [as in G.P. nth term= $a_{n+1}=ar^n$ ]

Hence, correct option is D. $f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)$

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1 year ago

A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4

Drupady [299]

Answer:

It begins to move toward the right

Explanation:

The given information can be summarized in this way:

First force vector: Fg = - 8N (vertical down)

Second force vector: Ft = 6N (horizonal right)

Third force vector: FN = 8N (vertical up)

Fourth vector: Ff = - 4N (horizontal left)

Following Newton's second law, net force equal mass times acceleration:

Net force = mass × acceleration

To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)

Vertical force balance:

Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.

Horizontal force balance:

Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.

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1 year ago

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Answer:

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Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

The 'c' is common for both equations, this means the 'a' and 'b' must also be common.

There are two ways to find p: 'a' or 'b'

a method

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

b method

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1 year ago

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Step-by-step explanation:

Put the value of x = -6 to all expressions:

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