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alisha [4.7K]
3 years ago
13

Simplify (5a2bc3) abc4

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0
(5a^{2}bc^{3}) abc^{4}=5*(a^{2}*a)*(b*b)*(c^{3}*c^{4})=5*a^{3}*b^{2}*c^{7}\\\\
5a^{3}b^{2}c^{7}\ is\ your\ answer.
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7800 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 29 years, to th
dimaraw [331]

Answer:

Year 29 $2,956.63 Total Interest $40,643.25  Balance $48,443.25

Step-by-step explanation:

Base amount: $7,800.00

Interest Rate: 6.5% (yearly)

Effective Annual Rate: 6.5%

Calculation period: 29 years

4 0
3 years ago
Kevin needs to convert 620 millimeters per minute to meters per hour. Which conversion factors should he use?
Annette [7]
Try this option:
1 meter=1000 mm; 1 hour=60 min. From another side: 1 mm=0.001 m. and 1 min=1/60 h.
Using this rule:
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7 0
3 years ago
Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 ​ )left parenthesis, 0, comma
steposvetlana [31]

Answer:

\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) \frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }.

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }

8 0
3 years ago
Can somebodt please help me
irakobra [83]

can someone help me we out
4 0
4 years ago
Similar triangles are congruent.<br> a. - always<br> b. - sometimes<br> c. - never
irina1246 [14]
<span>Two triangles with two sides and a non-included angle equal may or may not be congruent. If two angles on one triangle are equal, respectively, to two angles on another triangle, then the triangles are similar, but not necessarily congruent.</span>
5 0
3 years ago
Read 2 more answers
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