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3 years ago

6

An object with a mass of 4 kg is hanging from an axle with a radius of 36 cm. if the wheel attached to the axle has a radius of

8 cm, how much work would it take to turn the wheel 6 cm?

1 answer:

Airida [17]3 years ago

7 0

The answer is of course 78cm

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At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her

ozzi

Approximately $ 31419 profit is earned from selling books in entire month

<em><u>Solution:</u></em>

Given that Jodie had sold 885 copies of her new book

At the end of the month, she had sold 1,364 copies of her book

We have to determine the profit earned in the entire month

From given information,

Start of month sale = 885 copies

End of month sale = 1364 copies

Total copies of books sold = Start of month sold + end of month sold

Total copies of books sold = 885 + 1364 = 2249

Also given that each book profit is $ 13.97

Profit of 1 book = $ 13.97

<em><u>Therefore for 2249 books, profit earned is given as:</u></em>

Profit of 2249 books = $ 13.97 x 2249 = 31418.53

Therefore approximately $ 31419 profit is earned from selling books in entire month

5 0

2 years ago

Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.

gtnhenbr [62]

Answer:

9x⁵

Step-by-step explanation:

<u>Use properties of exponents:</u>

<u /> $a^{b} a^{c} = a^{b+c}$ , $(a^{b} ^)^{c} = a^{bc}$ , $1/a^{-b} = a^{b}$

<u>Simplify the given expression:</u>

3⁴⋅x⋅(3/x²)⁻² =
3⁴·x·(3x⁻²)⁻² =
3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =
3⁴⁻²·x¹⁺4 =
3²·x⁵ =
9x⁵

5 0

2 years ago

13, 5, 4, 9, 7, 14, 4 The deviations are _____.

fenix001 [56]

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

We have to find the deviation.

Mean= $\frac{sum\;of\;data}{total\;number\;of\;data}$

Using the formula

$Mean,\mu=\frac{13+5+4+9+7+14+4}{7}$

$Mean,\mu=\frac{56}{7}=8$

Deviation= $x_i-\mu$

$x_i-\mu$

13 5

5 -3

4 - 4

9 1

7 -1

14 6

4 - 4

Hence, option B is correct.

7 0

3 years ago

I need help with number 19

inysia [295]

Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.

We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)

Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45

Now, we can substitute points using the point-slope form.

y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.

4 0

2 years ago

Use the substitution method to solve the system of equations

PilotLPTM [1.2K]

You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).

In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.

The result is

$14m+2n=-8 \iff 14m+2(-7m-4)=-8 \iff 14m-14m-8=-8 \iff -8=-8$

So, the second equation turned to be an equality, i.e. an equation where both sides are the same.

This implies that the system has infinitely many solutions, because every couple $(n,m)$ such that $n=-7m-4$ is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.

3 0

2 years ago