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3 years ago

In a shoe factory, 2.4% shoes made are defective. If the company made 10,000 shoes then the number of defective pieces are

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

8 0

2.4/100x10,000=240

best of luck !

Alexxandr [17]3 years ago

6 0

240 is the answer...

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Mr.Molier is figuring out the semester averages for his history student. He can figure the average for 20 students in an hour. H

Kruka [31]

The answer is 3 because 60 divided by 20 is 3

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3 years ago

Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation

murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

First we will solve the radical equation (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because when we first squared both sides of the equation in the first part of the problem we missed one value for x (remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

6 0

3 years ago

A sold consiss of a hemisphere anda cone which share a common base.The cone has a base radius of 21cm and height of 28 cm and a

kotegsom [21]

Answer:

Volume

12,930.795

Surface area

3,694.513

Step-by-step explanation: For more information on this question research the formulas so you can figure this out yourself.

Have a Ni(e Day (nice)

7 0

3 years ago

Use inverse operations to find the inverse of y = 27x? The inverse of y = 27x3 is y =

VLD [36.1K]

Answer:

y = (∛x)/3

Step-by-step explanation:

To undo the multiplication by 27, you multiply by its inverse:

(1/27)y = (1/27)(27x^3)

y/27 = x^3 . . . . . . . . . . . simplify

To undo the cube, you take the cube root:

(∛y)/(∛27) = ∛(x^3)

(∛y)/3 = x

Apparently, you want the inverse function, so you swap the variables:

y = (∛x)/3

_____

You can swap the variables at the beginning or end. It doesn't matter. If you do it at the beginning, you have ...

x = 27y^3

and you're solving for y. You use the same inverse operations that we used above.

7 0

3 years ago

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compareover the inte

Kobotan [32]

To check the decay rate, we need to check the variation in y-axis.

Since our interval is

$-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}$

To compare the decay rates we need to check the variation on the y-axis of both functions.

$\begin{gathered} \Delta y_1=f(-2)-f(0)=4-1=3 \\ \Delta y_2=g(-2)-g(0)=4-0=4 \end{gathered}$

Now, we calculate their ratio to find how they compare:

$\frac{\Delta y_1}{\Delta y_2}=\frac{3}{4}$

This tell us that the exponential function decays at three-fourths the rate of the quadratic function.

And this is the fourth option.

4 0

1 year ago