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NeTakaya
3 years ago
8

Find the GCF of the following monomials. -50m⁴ n⁷ and 40m² n¹⁰

Mathematics
2 answers:
babunello [35]3 years ago
8 0
Greetings!

We can factor this expression/ the GCF is:
-10m^2n^7

(-10m^2n^7)(5m^2-4n^3)

Hope this helps.
-Benjamin
Cerrena [4.2K]3 years ago
7 0

Answer:  10\ m^2\ n^7

Step-by-step explanation:

The given monomials : -50m^4n^7\text{ and }40 m^2 n^{10}

The prime factorization of coefficients :-

50=5\times5\times2\\\\40=5\times2\times2

GCF(50, 40)=2\times5=10

The greatest common degree of m is 2

The greatest common degree of n is 7

So , the GCF of the given monomilas will be :-

10\ m^2\ n^7

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Find the value of z.
omeli [17]

Applying the angle of intersecting chords theorem, the value of z is: D. 100.

<h3>What is the Angle of Intersecting Chords Theorem?</h3>

According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.

Applying the angle of intersecting chords theorem, let's find x first:

73 = 1/2(96 + x)

Multiply both sides by 2

2 × (73) = 1/2(96 + x) × 2

146 = 96 + x

Subtract both sides by 96

146 - 96 = 96 + x - 96

50 = x

x = 50°

Therefore:

x + z + 96 + 114 = 360° [full circle measure]

Plug in the value of x

50 + z + 96 + 114 = 360

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Subtract both sides by 260

z + 260 - 260 = 360 - 260

z = 100°

The answer is: D. 100°.

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1 year ago
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6 0
3 years ago
Read 2 more answers
An activity has an optimistic time estimate of 25 days, a most likely estimate of 29 days, and a pessimistic estimate of 34 days
Margaret [11]

The expected duration of the activity is 29 days and 4 hours.

Step-by-step explanation:

Step 1:

The optimistic time, t_{o} = 25 days,

The most likely estimate, t_{m} = 29 days.

The pessimistic time, t_{p} = 34 days.

According to PERT, the expected duration of the activity, t_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6}.

Step 2:

By substituting the given values, we gett_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6} = t_{e} = \frac{25+4(29) +34  }{6} = \frac{175}{6} = 29.1666.

0.1666 days = 0.1666 (24) = 3.9999 hours.

29.1666 days approximately equal 29 days and 4 hours.

8 0
3 years ago
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