All categories

2 years ago

13x^-5 y^0/5^-3 z^-10

Mathematics

1 answer:

VMariaS [17]2 years ago

7 0

Answer:

$\frac{1625z^{10}}{x^{5}}$

Step-by-step explanation:

We want to simplify:

$\frac{13x^{-5}y^0}{5^{-3}z^{-10}}$

We rewrite as positive index to get:

$\frac{13y^05^{3}z^{10}}{x^{5}}$

This simplifies to

$\frac{13*1*125z^{10}}{x^{5}}$

This will finally give us:

$\frac{1625z^{10}}{x^{5}}$

We cannot simplify further.

Hence the simplest form is $\frac{1625z^{10}}{x^{5}}$

You might be interested in

Milly wants to buy this seated Elliptical for 169.99 (regularly 250.00)

alisha [4.7K]

169.99 / 250 = 0.68 or 68%

100 - 68 = 32% discount

Not sure what asking with total price, because tax varies by state.

4 0

2 years ago

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

Step 1: Solve using the first point

(2, 28)

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

Step 2: Solve using the second point

(-1, -5)

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

Step 3: Solve using the third point

(4, 220)

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

Step 4: Solve using the fourth point

(-2, -20)

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

Step 5: Combine the first and fourth equations

$28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

Step 6: Solve for c in the second equation

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

Step 7: Substitute d with the stuff we got in step 5

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

Step 8: Substitute d and c into the first equation

$28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

Step 9: Substitute a, b, and c into the third equation

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

Step 10: Find a using b = 2

$a = b + 1$

$a = (2) + 1$

$a = 3$

Step 11: Find c using a = 3 and b = 2

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

Step 12: Find d using b = 2

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

2 years ago

Read 2 more answers

Find sin x/2, cos x/2, and tan x/2 from the given information.. cos x = −15/17, 180° < x < 270°. . sin x/2=. . cos x/2=. .

sukhopar [10]

So base on your question the possible answer to that kind of question and the solution are the following and i hope you will understand the formula and free to ask some questions if needed.

2cos2x2=1+cosx=1−1517=217,cos2x2=117 cosx2=−117−−√....(1) sinx2=117−−√,90<x2<135 sinx2>0,cosx2<0,tanx2<0 2sin2x2=1−cosx=1−−1517=3217,sinx2=417−−√.....(2) divide (2) by (1) and get the value of tan x/2

6 0

2 years ago

Read 2 more answers

Provide an appropriate response.

oksian1 [2.3K]

You don't even have to look up the definition of 'standard deviation'. You only
have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average). It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = 80 and 1/7 .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say 77, 78, 79, 80, 81, 82, and 84 .

8 0

2 years ago

Please answer this i really understand this at all its so hard:((

vlabodo [156]

Step-by-step explanation:

25x ratio

stay safe and wear mask

5 0

1 year ago