If the pattern in the table continues, when will sales for pants equal sales for shirts?

1 answer:

5 0

It won't. Both are increasing by 1.5 every year. If you graph that, the lines will be parallel. Parallel lines have no intercept.

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4. find the real number roots. sqrt-0.25

e-lub [12.9K]

Given is square root of a negative real number, i.e. $\sqrt{-0.25}$

When we find square root of positive real numbers, we get Real answers.

But when we find square root of negative real numbers, we get Imaginary answers. To solve them, we can split the given negative number into product of -1 and the number itself but with positive sign. e.g. -4 = -1 x 4.

For square root of -1, we use english letter 'i' called Imaginary unit i.e. $\sqrt{-1} = i$

Now we can use -0.25 = -1 x 0.25

$\sqrt{-0.25} =\sqrt{-1*0.25} \\\\ \sqrt{-0.25} =\sqrt{-1}*\sqrt{0.25} \\\\ \sqrt{-0.25} =i*0.5 \\\\ \sqrt{-0.25} =0.5i$

Hence, "0.5i" is the final answer.

3 0

3 years ago

Read 2 more answers

Determine if the two triangles are congruent. If they are, state how you know.

blondinia [14]

All are congruent. Congruent means identical in size or shape. the different markings on the two shapes show that they are congruent. I can’t fully see number 10 so I can’t say it that one is or not

3 0

2 years ago

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.