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3 years ago

1. x^6y^14 / x^4Y^9

1 answer:

8 0

Please, post only one or two problems at a time, and include the instructions.

Focusing on the first problem (above): Instructions are "simplify:"

x^6y^14 x^2*y^5
x^6y^14 / x^4Y^9 = ------------- = ------------- = x^2*y^5.
 x^4Y^9 1

Note that (x^6) / (x^4) = x^(6-4) = x^2. Apply the same principle to y^14 / y^9.

You might be interested in

Sequence of {4-1/6n}

Bond [772]

Answer:

It's arithmetic

Step-by-step explanation:

For n=0 you got 4

For n=1 you got 4-1/6

For the next element the value will be the current element minus 1/6

8 0

2 years ago

What is the equation of the line perpendicular to the line with zero slope passing through point (5,7)?

Mademuasel [1]

Answer:

perp. is -0 which is 0

y - 7 = 0(x - 5)

y -7 = 0

y = 7 is the answer

6 0

2 years ago

A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con

Mashutka [201]

The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5V
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
$\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V$
To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
$16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h$
We would now divide both sides by 3 2/10:
$\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}$
This is the same as:
$\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}$
So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.

8 0

2 years ago

Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured.

FromTheMoon [43]

Solution:

Albert's medical expenses is = $ 12,000

Sam's come = $ 8,000

Add the amount = 12000 + 8000 = $ 20000

Sue Jones is insured for the amount = 10/20

Now, find the insurance.

(10/20)*(20,000) = 10000

Hence, $10000 pay for the insurance.

7 0

3 years ago

Read 2 more answers

Can someone explain to me how to do this?

elena55 [62]

In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction - $\frac{-5-1}{0-4}$ , which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)= $\frac{3}{2}$ x-5

6 0

3 years ago