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2 years ago

Convert the expression (√5)(∛5) to exponential form. Show your work.

Mathematics

1 answer:

IceJOKER [234]2 years ago

6 0

Answer:

${5}^{ \frac{5}{6}}$

Step-by-step explanation:

$( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}$

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The 8th term of a GP is -7/32 find its common ratio if its first term is 28

Ugo [173]

<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

$\text{8}^{th}$ term of a Geometric progression is given as $\dfrac{-7}{32}$ . The first term is given as $28$ .

Any general Geometric progression can be represented using the series $a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}$ .

The first term in such a GP is given by $a$ , common ratio by $r$ , and the $n^{th}$ term is given by $ar^{n-1}$ .

In the given GP, $a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}$

∴ Common ratio is $\dfrac{-1}{2}$ .

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2 years ago

10 POINTS AND WILL GIVE BRAINLIEST

madam [21]

The final value of the car will be given by:

final = origamt(1 - .20) to the 4th power. The car will retain therefore,only 80% of its original value from the preceding year for each of the 4 years starting with an original value of $35000.

The calculation is

$final \: value \\ = (35000) {(.8)}^{4} \\ = 35000 \times .4096 \\ =$

A measely $14,336!

7 0

2 years ago

of the coins in Simone's collection 13/25 or quarters of these quarters 2/3 are state quarters what fraction of Simone's coins a

Rzqust [24]

I have no idea. I'm sorry I havne'nt work on this stuff since 6th grade..

3 0

2 years ago

The coordinates of the points below represent the vertices of a rectangle.

andrey2020 [161]

Answer:

18 units

Step-by-step explanation:

5+5=10

4+4=8

8+10=18 units

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2 years ago

Read 2 more answers

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he

Dima020 [189]

We can find the answer by solving the two equations simultaneously.

equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x

equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5

But x >= 0 (the question says it's a height above the water), so x = 5

Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5

So the answer is C

7 0

2 years ago