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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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Which is the most precise definition of a​ circle?
faltersainse [42]
D. The set of all points in a plane that are equidistant from a fixed point.
5 0
3 years ago
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Is 6,8,9 a pythagorem theorem? pls help me due rn
Naddika [18.5K]

Answer:

No, it isn't.

Step-by-step explanation:

Pythagorean theorem is x^2 + y^2 = z^2.

6^2 + 8^2 = 9^2

36 + 64 = 81

100 = 81

So, it isn't.

4 0
2 years ago
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PLS HELP. I will give brainliest if you are correct!!!
pshichka [43]
We can see here that there are 2 triangular bases on the prism.

To calculate the area of a triangle, we multiply the base and the height and then divide by 2.

A = 8 x 6 /2

A = 48/2

A = 24

Hope it helps!
7 0
2 years ago
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at
aksik [14]
The formula for the area of a triangle is
A=\frac{1}{2}bh
\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})

We are given:
\frac{dh}{dt}=2
\frac{dA}{dt}=4.5
h=9.5
A=92

Plug in:
4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})
We can find b with:
A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}
So 4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})
\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}
\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}
\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130

So the base is decreasing at a rate of 3.130 cm/minute.
6 0
3 years ago
If the lengths of the sides of a triangle measure 5/4 m 3/2 m and 1/8 m, determine its perimeter.
atroni [7]

Answer:

23/8

Step-by-step explanation:

To find the perimeter of the triangle we need to add all the sides. Since the sides all have different denominators in their fractions, first we need to make the denominator the same.

5/4 = 10/8

3/2 = 12/8

1/8 = 1/8

Then we just add the numerators and keep the denominator the same, which gets us 23/8 meters. Since 23/8 can be simplified, that's the answer.

5 0
3 years ago
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