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3 years ago

Given that 4^-n=32 Find the value of n

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

Step-by-step explanation:

${4}^{ - n} = 32$

${2}^{ -2 n} = {2}^{5}$

$- 2n = 5$

$n = \frac{ - 5}{2}$

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elixir [45]

Answer:

Step-by-step explanation:

Lowest Common Multiple= 56

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3 years ago

Read 2 more answers

Given the median line QR and trapezoid MNOP, what is the value of x? MN=17 QR=x+12 OP=5x-14

kari74 [83]

Answer:
x = 7
MN (first base) = 17 units
OP (second base) = 21 units
QR (median) = 19 units

Explanation:
In a trapezium, the length of the median is equal to half the sum of the two bases.

From the given, we have:
MN (first base) = 17 units
OP (second base) = 5x - 14 units
QR (median) = x + 12 units

Applying the above rule:
median = 0.5 (first base + second base)
x + 12 = 0.5 (17+5x-14)
2(x+12) = 17+5x-14
2x + 24 = 3 + 5x
24-3 = 5x-2x
21 = 3x
x = $\frac{21}{3}$
x = 7

Based on the above, the lengths would be:
MN (first base) = 17 units
OP (second base) = 5x - 14 = 5(7) - 14 = 21 units
QR (median) = x + 12 = 7 + 12 = 19 units

Hope this helps :)

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3 years ago

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A vertical pole stands in the sea. A mark, X, on the pole is 1.6m above sea level at low tide, the sea level is 3.9m higher than

lyudmila [28]

Answer:

ummm I would say a angle of 7.65

Step-by-step explanation:

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3 years ago

The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive

Agata [3.3K]

Answer:

There's two answers.

-5, -4, and -3

3, 4, 5

Step-by-step explanation:

$x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\$

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3 years ago

Find the volume of the rectangular prism. Write your answer in simplest form. No links please

raketka [301]

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

8 0

3 years ago