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zysi [14]
2 years ago
9

What is the value of the expression (1/6)^-1? Write your answer as simplified as possible.

Mathematics
1 answer:
Murrr4er [49]2 years ago
8 0

Answer:

6

Step-by-step explanation:

Recall that a^{-b}=\frac{1}{a^b}. Therefore, any number n raised to the power of -1 will be  \frac{1}{n^1}=\frac{1}{n} (the reciprocal of that number).

Thus, the value of the expression \left (\frac{1}{6}\right)^{-1} is:

\left (\frac{1}{\frac{1}{6}}\right )=\fbox{$6$}.

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Customer leaves 5dollar tip which was 18% of the coast of meal .. how much was the original bill​
Digiron [165]

I think it might be $90.

7 0
2 years ago
Which ordered pairs are solutions to the inequality 2x - y > -4? Check all that apply.
JulsSmile [24]

Answer:

(1,-6)

(-2,-5)

(8,2)

(4,0)

4 0
3 years ago
One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord
Vikki [24]
Let's say we use "x" of the 25% OJ... ok... well, how much juice is really in that "x" liters?  well, 25% of it is OJ, the rest is water, how much is 25% of x? well, (25/100) * x,  or 0.25x.

likewise, we'll use "y" of the 10% OJ, and it will end up with (10/100) *y or 0.10y of juice in it.

whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x}  \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7

how much will be it of the 10% juice?  well, y = 15 - x.
6 0
2 years ago
Please help. <br><br><br> The best answer will get brainliest.
Margaret [11]

Answer:

Mean= 10

Step-by-step explanation:

Mean= Total value of data/Number of datas given

         =3+2+26+9/4

         =40/4

         =10

Mean= 10

6 0
3 years ago
5. A ball is thrown upward with an initial velocity of 50 feet per second. The
dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0
2 years ago
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