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2 years ago

Which expression is equivalent to 5^-2 x 5^5?

Mathematics

1 answer:

miskamm [114]2 years ago

8 0

Answer:

5^3

Step-by-step explanation:

5^-2 * 5^5

We know that a^b * a^c = a^(b+c)

5^(-2+5)

5^3

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9/10 ÷ 5/10<br> can you please explain?

frozen [14]

Answer:

Step-by-step explanation:

Hello,

Dividing by 1/2 is like multiplying par 2, right ?

Dividing by 5/10 is like multiplying par 10/5, right ?

and then

$\dfrac{\dfrac{9}{10}}{\dfrac{5}{10}}=\dfrac{9}{10}\times \dfrac{10}{5}=\dfrac{9}{5}$

as 10/10=1

Thanks

3 0

3 years ago

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Please help fassssst

Zarrin [17]

Answer:

$\dfrac{9}{2}$

Step-by-step explanation:

You can do this using the quadratic equation:

$x =\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

Let's first setup our expression:

4x² + 12x = 135

the quadratic formula is:

ax² + bx + c = 0

4x² + 12x - 135 = 0

Then:

a = 4

b = 12

c = -135

Now we plug in our coefficients and solve:

$x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}$

We solve for both to determine the positive one:

$x =\dfrac{-12+ \sqrt{12^{2}-4(4)(-135)}}{2(4)}$ $x =\dfrac{-12- \sqrt{12^{2}-4(4)(-135)}}{2(4)}$

$x =\dfrac{-12+ \sqrt{144+2160}}{8}$ $x =\dfrac{-12- \sqrt{144+2160}}{8}$

$x =\dfrac{-12+ \sqrt{2304}}{8}$ $x =\dfrac{-12- \sqrt{2304}}{8}$

$x =\dfrac{-12+ 48}{8}$ $x =\dfrac{-12- 48}{8}$

$x =\dfrac{36}{8} = \dfrac{9}{2}$ $x =\dfrac{-60}{8} = \dfrac{-15}{2}$

So if you are looking for a positive solution, just take the positive one as x.

8 0

2 years ago

Solve the equation 42=7r r=

Juli2301 [7.4K]

Answer: r=6

Step-by-step explanation:

Because if 42 equals 7 times r you just have to divide 42 by 7.

8 0

3 years ago

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Solve the inequalityfor v 4v<20

lesantik [10]

Answer:

Step-by-step explanation:

V=5

6 0

3 years ago

William put $100 in a bank account last year. Now he has more money in the account. Which expressions represent how much money W

gulaghasi [49]

You are right the answers are B and D because in both we have 100$ at the first :))
i hope this is helpful
have a nice day

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2 years ago

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