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4 years ago

PLEASE HELP !........

Mathematics

1 answer:

xeze [42]4 years ago

6 0

Sorry for my bad hand writing lol

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P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 <br><br> What does n=

Juli2301 [7.4K]

Answer:

$n = 3$

Step-by-step explanation:

Given:

The equation given is:

$p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7$

We simplify the given equation using the following law of indices:

$a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}$

Therefore,

$p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5$

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

$n+2=5\\n=5-2\\n=3$

Therefore, the value of 'n' is 3.

5 0

3 years ago

8 more than a number is greater than or equal to 0. Find the number.

Alenkinab [10]

we are given that

8 more than a number is greater than or equal to 0

Let's assume that number as 'x'

8 more than a number is

$x+8$

now, it is greater than or equal to 0

so, we can write as

$x+8\geq 0$

now, we can solve for x

Subtract both sides 8

$x+8-8\geq 0-8$

$x\geq -8$ ...............Answer

7 0

4 years ago

To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of

Liula [17]

Okay, here we have this:

Considering the provided information and grades, we are going to calculate the requested GPA, so we obtain the following:

Then we will substitute in the following formula:

$GPA=\frac{Grades\ast Credits}{Total\text{ credits}}$

Then:

$\begin{gathered} GPA=\frac{3.8\cdot5+1.9\cdot2+3.0\cdot5+2.8\cdot4}{16} \\ GPA=\frac{19+3.8+15+11.2}{16} \\ GPA=\frac{49}{16} \\ GPA=3.06 \end{gathered}$

Finally we obtain that the student's GPA for that term is approximately 3.06.

7 0

2 years ago

20 is what percent of 160

stira [4]

In this problem WP means what percent

20 = WP X 160

solve for WP, by dividing both sides by 160

and you get:

0.125 = WP

Change your decimal into a percent by multiplying by 100%

12.5% is your result.

7 0

3 years ago

Math help pls thank u

ELEN [110]

(8) =b

explaintion is : 3 seven times is 21

6 0

3 years ago

PLEASE HELP !........​

PLEASE HELP !........