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jekas [21]
3 years ago
9

I need help to solve this problem Simplify (6^7)^3​

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
7 0

Answer: The Answer to this question is C bc of the brackets it multiplies the exponents if that makes sense, hope this helps

Step-by-step explanation:

VMariaS [17]3 years ago
5 0

Answer:

C.

Step-by-step explanation:

(6^7)^3 means (6^7)(6^7)(6^7).

When multiply numbers with same base, add the exponents.

6^(7+7+7)=6^(3*7)=6^(21).

In the beginning you could have just multiply 7 and 3 so the answer is 6^(21).

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
4 years ago
On the graph shown, line C is the parent function
AfilCa [17]

Answer:

g(x) = log2 (x) – 1

Step-by-step explanation:

I just did this on Edge

4 0
3 years ago
A researcher selects two samples of equal size and computes a mean difference of 1.0 between the two sample means. If the pooled
s344n2d4d5 [400]

Answer:

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

Step-by-step explanation:

Previous concepts

Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.

Solution to the problem

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

7 0
3 years ago
Find the values of x and y.
ValentinkaMS [17]

Answer:

x=110° y=140°

Step-by-step explanation:

x=180°-70°

x=110°

x=110°

y=x+30°

y=110°+30°

y=140°

3 0
3 years ago
The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population i
riadik2000 [5.3K]

Answer

a)

P(t) = 19100. e^{0.06t}

b) P(8) =30866

Step-by-step explanation

Use formula:

P(t) = P. e^{rt}

a)

Here, P = 19100

r = 6% = 0.06

P(t) = 19100. e^{0.06t}

b) t = 2008 - 2000 = 8

P(8) = 19100. e^{0.06\times 8}

P(8) = 19100. e^{0.48}

P(8) = 19100\times 1.616\\\\P(8) = 30,865.6\\\\P(8) \approx 30,866

6 0
3 years ago
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