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3 years ago

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”

Mathematics

2 answers:

amid [387]3 years ago

7 0

Answer:

If an item is worth five dimes it is worth two quarters.

Step-by-step explanation:

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters. So the original statement is :If an item is worth two quarters is worth five dimes.

The converse of the original statement is If an item is worth five dimes it is worth two quarters.

svetoff [14.1K]3 years ago

5 0

Answer:The converse of the original statement should be"If an item is worth two quarters then it is worth five dimes"

Step-by-step explanation:

Given:The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”

Then the original conditional statement would be "If an item is worth five dimes, then it is worth two quarters.”

Therefore the converse of the original statement should be"If an item is worth two quarters then it is worth five dimes"

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ser-zykov [4K]

Answer:

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

The revenue from manufacturing and selling x units of toaster ovens is given by:

nexus9112 [7]

Answer:

$248,000.

Step-by-step explanation:

We have been given that the revenue from manufacturing and selling x units of toaster ovens is given by $R(x)=-0.3x^2+200x-82,000$ .

To find the amount of revenue earned from selling 3,000 toaster, we will substitute $x=3,000$ in the given formula as:

$R(3,000)=-0.03(3,000)^2+200(3,000)-82,000$

$R(3,000)=-0.03*9,000000+600,000-82,000$

$R(3,000)=-270,000+518,000$

$R(3,000)=248,000$

Therefore, the company should expect revenue of $248,000 from selling 3,000 toaster ovens.

3 0

4 years ago

Please help me ASAP!

Whitepunk [10]

If they are similar, and the second cube's length is 3 times that of the first, then all of the sides are 3 times as large.
To calculate the volume, we multiply the length by the width by the height, each of which is 3 times as big. So, in total, the volume is 27 times larger in the second prism than the first.
So, if the first volume is 30 cubic centimetres, the second one would be 810 cubic centimetres.

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4 0

3 years ago

From Euler’s relation eiθ = cosθ + isinθ,

adelina 88 [10]

Answer:

(a) The graphic representation is in the attached figure.

(b) $\cos(\theta) = \frac{e^{i\theta} + e^{-i\theta}}{2}$ .

(c) $\sin(\theta) = \frac{e^{i\theta} - e^{-i\theta}}{2i}$ .

Step-by-step explanation:

(a) Given a complex number $e^{i\theta}$ we know, from Euler's formula that $e^{i\theta} = \cos(\theta)+i\sin(\theta)$ . So, it is not difficult to notice that

$|e^{i\theta}|^2 = \cos^2(\theta)+\sin^2(\theta) =1$

so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is $(\cos(\theta), \sin(\theta))$ .

Now,

$e^{-i\theta} = \cos(\theta)+i\sin(-\theta) = \cos(\theta)-i\sin(\theta)$ .

Notice that $e^{-i\theta}$ has the same modulus that $e^{i\theta}$ , so it is on the unit circumference. Beside, its Cartesian representation is $(\cos(\theta), -\sin(\theta))$ .

So, the points $(\cos(\theta), \sin(\theta))$ and $(\cos(\theta), -\sin(\theta))$ are symmetric with respect to the X-axis. All this can be checked in the attached figure.