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3 years ago

Simplify: 32^-1/ 32^6 Show your work.

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Answer:

$\frac{1}{32^{7} }$

Step-by-step explanation:

$32^{-1}$ ÷ $32^{6}$

First is combine exponents. -1 + -6=-7

Next is to multiply. The answer becomes,

= $\frac{1}{32^{7} }$

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Conjecture #2- The product of two rational numbers is always?

Gala2k [10]

Answer:

Rational

Step-by-step explanation:

It is always going to be RATIONAL.

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4 years ago

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3 years ago

Read 2 more answers

Find the missing length indicated. Leave your answer in simplest radical form.

musickatia [10]

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

$\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}$

56x = (18√14)²

56x = 4536

x = $\frac{4536}{56}$

x = 81

2). By applying geometric mean theorem,

$\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}$

16x = (8√21)²

16x = 1344

x = $\frac{1344}{16}$

x = 84

6 0

3 years ago

Find the measures of the supplementary angles that satisfy each case.

seropon [69]

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

x + y = 180°.

It is given that x = y + 45°.

So x + y = 180°

substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

2y + 45° = 180°

collecting like terms, we have

2y = 180° - 45°

2y = 135°

dividing through by 2, we have

y = 135°/2

y = 67.5°

Since y = 67.5°

then x = y + 45°

x = 67.5° + 45°

x = 107.5°

3 0

3 years ago

The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o

Nimfa-mama [501]

Answer: $b(t(h))=135h^2+180h+125$

Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function $b(t)=15t^2-60t+125$ , where t is the temperature of food in degrees Fahrenheit.

The function $t(h)=3h+4$ gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

$b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125$

So, The number bacteria in the food in h hours is given by:

$b(t(h))=135h^2+180h+125$

4 0

3 years ago

Simplify: 32^-1/ 32^6 Show your work.​

Simplify: 32^-1/ 32^6 Show your work.