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Hunter-Best [27]
3 years ago
15

Define powers provide an example of power with an exponent of 2

Mathematics
2 answers:
shtirl [24]3 years ago
7 0
Well not sure what you are asking, but If it is what I think it is, it would go like this: 
          2 
(9^2)

Then the answer should be 

9^4 since we multiply the exponents. 

If you mean this...

3^2....It would be same as 3 x 3 which we should know is equal to nine. 

Hope I helped! (Be sure to thank me!)
kherson [118]3 years ago
3 0
Well, the power of a number is how many times you multiply a number by itself. Such as, 3 squared, or 3 to the power of 2, would be
3 x 3, which equals 9.
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Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.
xxMikexx [17]

Answer:

a_1=1.04

Step-by-step explanation:

We have a geometric  sequence with:

Sn = 89,800, r = 3.4, and n = 10

Where

Sn is the sum of the sequence

r is the common ratio

a_1 is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

S_n=\frac{a_1(1-r^n)}{1-r}

Then:

89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}

Now we solve for a_1

89,800(1-3.4)=a_1(1-(3.4)^{10})

a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04

4 0
3 years ago
Mr. Johnson has 4 daughters. Each of his daughters has a brother. How many children does mr. Johnson have?.
777dan777 [17]

Answer:

5

Step-by-step explanation:

hope this helps ;)

5 0
2 years ago
Water stations are placed every 600 meters of a fifteen kilometer race. How many water stations will be needed?
timurjin [86]

25 water stations, 15000/600 = 25

3 0
3 years ago
Read 2 more answers
Solve 73 make sure to also define the limits in the parts a and b
Aleks04 [339]

73.

f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}

a)

\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3

b)

Since we can't divide by zero, we need to find when:

x^4-2x^2+144=0

But before, we can factor the numerator and the denominator:

\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}

Now, we can conclude that the vertical asymptotes are located at:

\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}

so, for x = -3:

\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty

For x = 4:

\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty

4 0
1 year ago
A figure is located at (0, 0), (−3, −4), and (−3, 0) on a coordinate plane. What kind of 3-D shape would be created if the figur
Kisachek [45]

Answer:

a cone

Step-by-step explanation:

a cone would be formed due to the point on the graph forming a triangle, and when a triangle is spun around an axis on one of its sides it will form a cone

4 0
3 years ago
Read 2 more answers
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