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ryzh [129]
3 years ago
7

Simplify and write the answer in exponential form. 3^4 x 3^5 a.) 3^9

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

<h3>(a) 3^9</h3>

Step-by-step explanation:

<h3> IN EXPONNETIAL FORM :</h3>

<h3>– (a^m× a^n) = (a^m+n)</h3>

<h3>3^4 × 3^5 = 3^4+5 = </h3>

<h2>3^9 </h2>

<h3 />
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Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling <em>r</em> quadruples the volume.

Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

\displaystyle V=\pi (2r)^2h=4\pi r^2h

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:

V=\pi r^2(2h)=2\pi r^2h

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0
3 years ago
Graph the system of equations to find the solutions of x3 + 6x2 - 40x = 192. y = x3 + 6x2 - 40x y = 192 Select all of the soluti
STatiana [176]
It would be x=6,−4,−<span>8, good luck</span>

5 0
3 years ago
Read 2 more answers
What is 20% of 180<br>please i realy need to answer this​
blagie [28]

Answer:

36

20 percent * 180 =

(20:100)* 180 =

(20* 180):100 =

3600:100 = 36

Now we have: 20 percent of 180 = 36

Question: What is 20 percent of 180?

Percentage solution with steps:

Step 1: Our output value is 180.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$180=100\%$.

Step 4: Similarly, $x=20\%$.

Step 5: This results in a pair of simple equations:

$180=100\%(1)$.

$x=20\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{180}{x}=\frac{100\%}{20\%}$

Step 7: Again, the reciprocal of both sides gives

Step-by-step explanation:

Hope it is helpful.....

3 0
3 years ago
Help with numbers 40-48
adelina 88 [10]

Answer: -8

Step-by-step explanation:

8 0
3 years ago
3/unknow ÷5=1/10<br> what in the unknown?
saul85 [17]
3/x<span>÷5=1/10
3</span><span>÷5=1/10*x
6/10=1/10*x
6=x</span>
5 0
3 years ago
Read 2 more answers
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