All categories

3 years ago

Simplify 32q^9r^4 / 4q^3r

Mathematics

2 answers:

Over [174]3 years ago

7 0

Step-by-step explanation:

the answer is 8q^6r^3 and here are the steps in pic.

Nataly [62]3 years ago

7 0

Answer:

8q^6r^3

Step-by-step explanation:

As powers in denominator are subtracted from powers of numerator.

8 q^9-3 r^4-1

8q^6r^3.

You might be interested in

Paul's rule is "square, triangle, circle." How can Paul find the seventeenth shape?

natka813 [3]

Answer:

1. keep counting

2. He can do 5 times 3 to get to the 15th shape and then say 2 more to get the 17th shape.

(The 17th shape would be triangle)

8 0

2 years ago

Read 2 more answers

A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised

Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

$y=mx+b$

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}$

We pick the point (51000,21) and plug it into the equation of the line and we find b:

$y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38$

<h3>And we have got our line equation</h3>

$y= -\frac{1}{3000}x + 38\\$

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

$y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x$

<h3>to maximize the revenue, we get the first derivative:</h3>

$R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\$

$R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000$

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

$y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19$

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>

7 0

3 years ago

Need help with number 2. If you don’t know it just leave it like it is (someone literally wrote “the umm” as an answer on my pre

zhannawk [14.2K]

Answer: I think it is the number of cubes you add with each layer

Step-by-step explanation:

like you add 12 cubes with each layer- so the height is multiplied by 12 btw :)

Good luck with your homework

4 0

3 years ago

Please help ASAP... write 2x-4y+2=0 in slope-intercept form.

ankoles [38]

Y = 1/2x + 1/2

I hope this helped.

4 0

4 years ago

A bar graph titled Time Students Spent Studying with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 mi

blsea [12.9K]

Answer:

(1) <em>Y</em>-axis: number of students who spends respective hours studying.

(2) The number of students who spent 2 or more hours studying is 12.

(3) The number of students who spent fewer than 2 hours a night studying is 8.

Step-by-step explanation:

Consider the Frequency table and Histogram provided below.

(1)

The <em>y</em>-axis of the histogram represents the frequencies or the number of students who spends respective hours studying.

(2)

Compute the number of students who spent 2 or more hours studying as follows:

N (X ≥ 2) = n (X = 2 - 2:59) + n (X = 3 - 3:59) + n (X = 4 - 4:59)

$=7+4+1\\=12$

Thus, the number of students who spent 2 or more hours studying is 12.

(3)

Compute the number of students who spent fewer than 2 hours a night studying as follows:

N (X < 2) = n (0 - 0:59) + n (1 - 1:59)

$=3+5\\=8$

Thus, the number of students who spent fewer than 2 hours a night studying is 8.

6 0

3 years ago