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erma4kov [3.2K]
3 years ago
10

Let p and q be different prime numbers. How many positive factors will (p^2 * q^4)^3 have?

Mathematics
2 answers:
Naily [24]3 years ago
7 0

Answer:

  91

Step-by-step explanation:

p^6×q^12 will have (6+1)(12+1) = 7×13 = 91 positive integer divisors.

Aliun [14]3 years ago
5 0
The answer would be 91.
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I can't find the volume ​
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7 0
3 years ago
triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one les
koban [17]

Value of x is 9 and measure of each side is 35 units.

<u>SOLUTION: </u>

Given, Triangle QRS is an equilateral triangle.  

QR is seventeen more than twice x, \rightarrow QR = 17 + 2x

RS is 19 less than six times x, \rightarrow RS = 6x-19

And QS is one less four times x, \rightarrow QS = 4x-1

We have to find x and measure of each side.

Now, we know that, sides of equilateral triangle are equal,  

Then QR = QS \rightarrow 17 + 2x = 4x-1 \rightarrow 4x-2x = 17 + 1 \rightarrow 2x = 18 \rightarrow x = 9

So, value of x is 9.

\begin{array}{l}{\text { Now, } \mathrm{QR}=17+2(9)=17+18=35} \\\\ {\mathrm{RS}=6(9)-19=54-19=35} \\\\ {\mathrm{QS}=4(9)-1=36-1=35}\end{array}

Hence, value of x is 9 and measure of each side is 35.

5 0
3 years ago
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