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Vanyuwa [196]
3 years ago
13

Plzz help will mark brainliest plz don't do it for the points plzz!!!!!!!!!!!!!

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

the first choice is the correct answer

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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol
koban [17]

Answer:

\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}

Step-by-step explanation:

\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228

=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}

\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}

4 0
3 years ago
A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int
trasher [3.6K]

Answer:

D. 4.5%.

Step-by-step explanation:

Interest earned in 6 months = 572.6 - 560 = $12.60.

As a percentage this is (12.60 * 100) / 560

= $ 2.25%.

So the annual interest is 2 * 2.25

= 4.5%.

4 0
3 years ago
I need help with this please
Helen [10]

So burger king offers 10 chicken nuggets for $1.49

   1 chicken nugget = price for 10 chicken nugget / 10 chicken nugget

                         = $1.49 / 10 = $0.15 per nugget (approximated)

Hope that helps!

8 0
2 years ago
Please can anyone help what is AC
Nesterboy [21]

The answer is C.

You need you use Pythagoras theorem 2 times to have 2 equations with the same sides i.e. for example a2 + b2 = 81 and a2 - b2 = 9.

You can do it as you have different triangles but with the same sides.

7 0
3 years ago
The function h is defined by h (y) = 2y-7.<br> What is the value of h(8) ?<br> ooo
kozerog [31]

Answer:

The value of h(8) = 9  

Step-by-step explanation:

Given function as

h(y) = 2y - 7

For y = 8

Put the value of y in given function

So, h(8) = 2 (8) - 7

OR , h(8) = 16 - 7

∴  h(8) = 9  

Hence the value of h(8) = 9    Answer

6 0
3 years ago
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