All categories

3 years ago

Consider the following equation. x · y = z, where x < 0 and y > 0

Mathematics

2 answers:

aliya0001 [1]3 years ago

5 0

Answer:

Step-by-step

im better bby

Anna35 [415]3 years ago

4 0

Answer:

Step-by-step explanation:

Using -5 (as x because it’s less than 0) times 4 (as y because it’s more than 0) as examples, you’d get -20 (as z). If you do a solution set, you’d see a pattern of only negative numbers. Hope this helped, and tell me if I’m wrong, no hurt feelings

You might be interested in

Naomi has earned $51 mowing lawns the past two days. She worked 1 1/2 hours yesterday and 2 3/4 hours today. If Naomi is paid th

stiks02 [169]

12 Dollars An Hour

51/4.25= 12

4 0

3 years ago

Johnathan is making his famius pasta dish his mom ate 2/7 of pasta and his

aniked [119]

$\dfrac{2}{7} + \dfrac{1}{6} = \dfrac{2 \times 6}{7 \times 6} + \dfrac{1 \times 7}{6 \times 7} = \dfrac{12}{42} + \dfrac{7}{42} = \dfrac{19}{42}$

$\boxed {\boxed {\text {Answer: They ate }\dfrac{19}{42} \text { of the pasta.}}}$

4 0

2 years ago

Read 2 more answers

What is the simplified form of 3.2 to the power of 4

Nezavi [6.7K]

12.8 is the answer you can multiply 3.2 to 4 or you can add 3.2 to 3.2

6 0

3 years ago

Read 2 more answers

In what quadrant does the angle 9pi/ 5 terminate?

aev [14]

the angle 4pi/5 in quadrent 2

3 0

3 years ago

Read 2 more answers

use the general slicing method to find the volume of The solid whose base is the triangle with vertices (0 comma 0 ), (15 comma

lyudmila [28]

Answer:

volume V of the solid

$\boxed{V=\displaystyle\frac{125\pi}{12}}$

Step-by-step explanation:

The situation is depicted in the picture attached

(see picture)

First, we divide the segment [0, 5] on the X-axis into n equal parts of length 5/n each

[0, 5/n], [5/n, 2(5/n)], [2(5/n), 3(5/n)],..., [(n-1)(5/n), 5]

Now, we slice our solid into n slices.

Each slice is a quarter of cylinder 5/n thick and has a radius of

-k(5/n) + 5 for each k = 1,2,..., n (see picture)

So the volume of each slice is

$\displaystyle\frac{\pi(-k(5/n) + 5 )^2*(5/n)}{4}$

for k=1,2,..., n

We then add up the volumes of all these slices

$\displaystyle\frac{\pi(-(5/n) + 5 )^2*(5/n)}{4}+\displaystyle\frac{\pi(-2(5/n) + 5 )^2*(5/n)}{4}+...+\displaystyle\frac{\pi(-n(5/n) + 5 )^2*(5/n)}{4}$

Notice that the last term of the sum vanishes. After making up the expression a little, we get

$\displaystyle\frac{5\pi}{4n}\left[(-(5/n)+5)^2+(-2(5/n)+5)^2+...+(-(n-1)(5/n)+5)^2\right]=\\\\\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}(-k(5/n)+5)^2$

But

$\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}(-k(5/n)+5)^2=\displaystyle\frac{5\pi}{4n}\displaystyle\sum_{k=1}^{n-1}((5/n)^2k^2-(50/n)k+25)=\\\\\displaystyle\frac{5\pi}{4n}\left((5/n)^2\displaystyle\sum_{k=1}^{n-1}k^2-(50/n)\displaystyle\sum_{k=1}^{n-1}k+25(n-1)\right)$

we also know that

$\displaystyle\sum_{k=1}^{n-1}k^2=\displaystyle\frac{n(n-1)(2n-1)}{6}$

and

$\displaystyle\sum_{k=1}^{n-1}k=\displaystyle\frac{n(n-1)}{2}$

so we have, after replacing and simplifying, the sum of the slices equals

$\displaystyle\frac{5\pi}{4n}\left((5/n)^2\displaystyle\sum_{k=1}^{n-1}k^2-(50/n)\displaystyle\sum_{k=1}^{n-1}k+25(n-1)\right)=\\\\=\displaystyle\frac{5\pi}{4n}\left(\displaystyle\frac{25}{n^2}.\displaystyle\frac{n(n-1)(2n-1)}{6}-\displaystyle\frac{50}{n}.\displaystyle\frac{n(n-1)}{2}+25(n-1)\right)=\\\\=\displaystyle\frac{125\pi}{24}.\displaystyle\frac{n(n-1)(2n-1)}{n^3}$

Now we take the limit when n tends to infinite (the slices get thinner and thinner)

$\displaystyle\frac{125\pi}{24}\displaystyle\lim_{n \rightarrow \infty}\displaystyle\frac{n(n-1)(2n-1)}{n^3}=\displaystyle\frac{125\pi}{24}\displaystyle\lim_{n \rightarrow \infty}(2-3/n+1/n^2)=\\\\=\displaystyle\frac{125\pi}{24}.2=\displaystyle\frac{125\pi}{12}$

and the volume V of our solid is

$\boxed{V=\displaystyle\frac{125\pi}{12}}$

3 0

3 years ago