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choli [55]
3 years ago
7

Which is the simplified form of

Mathematics
2 answers:
ahrayia [7]3 years ago
5 0

For this case, we must simplify the following expression:

r ^ {- 7} + s ^ {- 12}

By definition of power properties we have to:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

So, rewriting the expression we have:

\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}

Answer:

\frac {1} {r ^ 7} + \frac {1} {s ^ {12}}

Option D

Rufina [12.5K]3 years ago
4 0

Answer:

 1           1

------ + -------    

r^7      s^12

Step-by-step explanation:

r^(-7) + s^(-12) can be re-written as

 1           1

------ + -------    by putting to use the rule:

r^7      s^12

                1

x^(-a) = ----------

              x^a

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Pls help being timed and I don’t understand
shepuryov [24]

Answer:

f ( -2 ) = 30

g ( -2 ) = 3

Step-by-step explanation:

when it says f(x) and then has f(-2) - you fill in all x's in the equation with -2.. like this:

f(x) = -7(-2-2) +2                         g(x) = 2(-2)^2 -5

f(x) = -7(-4) +2                             g(x) = 2(4) -5

f(x) = 28 + 2                                g(x) = 8 - 5

f(x) = 30                                      g(x) = 3

hope this helps!!

6 0
3 years ago
A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

3 0
3 years ago
5 t-shirt cost R120.how much will 9t-shirt cost​
Whitepunk [10]

Step-by-step explanation:

given

5 t-shirts = R120

(5÷5) t - shirt = R(120÷5)

1 t-shirt = R24

(1x9) t-shirts = R(9x24)

= R216

3 0
3 years ago
Determine whether the given value is a solution of the equation: x + 15 = 10; x=5 *
kobusy [5.1K]

Answer:

It is not correct, x = -5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Answer 10 only please, explain how you got your answer
ira [324]

Question:

The circumference of a clock is 22 inches. What is the radius of the clock?

Answer:

Radius = 3.5 inches

Solution:

Shape of the clock is circle.

Circumference of the circle = 2πr

Circumference of a clock = 22 inches

\Rightarrow2\pi r=22

$\Rightarrow2\times\frac{22}{7}\times  r=22

$\Rightarrow\frac{44}{7}\times  r=22

$\Rightarrow  r=22\times \frac{7}{44}

$\Rightarrow  r=\frac{7}{2}

⇒ r = 3.5 inches

Hence the radius of the clock is 3.5 inches.

8 0
3 years ago
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