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deff fn [24]
3 years ago
11

Simplify

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

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Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m​
tatiyna

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

(-\frac{3}{4}) ^{-4} × (-\frac{3}{4}) ^{-11} = (-\frac{3}{4}) ^{m} , that is

(-\frac{3}{4}) ^{(-4-11)} = (-\frac{3}{4}) ^{m}

(-\frac{3}{4}) ^{-15} = (-\frac{3}{4}) ^{m}

Equating exponents gives

m = - 15

4 0
3 years ago
The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were the
lubasha [3.4K]

Answer:

there are 70 possible choices for the four locations to apply the new ointment

Step-by-step explanation:

Since we have a total of 8 locations ( 4 to the new ointment and 4 to the control) ,  each one can be chosen and since the order of the locations that are chosen for the new ointment is not relevant  , then we know that the number of choices is given by the number of combinations of 4 elements in 8

number of combinations = 8 possible locations to the first ointment * 7 possible locations to the second ( since the first one was already located) * 6 to the third * 5 locations for the fourth / number of times the same combination is repeated ( the same locations but in different positions) = 8*7*6*5 / (4 possible positions for the first ointment* 3 possible positions to the second ointment (since the first one was already located * 2 possible positions of the third * 1 possible position of the fourth)

therefore

number of combinations = 8*7*6*5/(4*3*2*1 ) = 8!/((8-4)!*4!) = 70 possible combinations

thus there are 70 possible choices for the four locations to apply the new ointment

6 0
3 years ago
(Please help :) Look at the sequence of numbers in each question and write the expression using n (find the nth term, eg, 3n+6)
siniylev [52]

Answer:

Tricky

Step-by-step explanation:

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3 years ago
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Which is the graph of g(x) = (x + 3?
Rasek [7]

Answer:

second graph

Step-by-step explanation:

5 0
3 years ago
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