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vodomira [7]
3 years ago
8

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

Step-by-step explanation:

(5^{-2} × 4^{-4} )^{-2}

=(5^{-2})^{-2} x (4^{-4})^{-2}                            ∴(a.b)^{n} =a^{n} .b^{n}

=5^{-2.-2} x 4^{-4 . -2}                              ∴(a^{n} )^{m} = a^{nm} // here m is an exponent of a^{n}.

=5^{4} x 4^{8}

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Determine the domain of the following graph:
dedylja [7]

Answer:

Domain: -5, -3, -2, 1, 3

Step-by-step explanation:

Find all the points on the x-axis that line up with the line shown on the graph.

8 0
2 years ago
How do I do number 5?
rewona [7]
H(t)=-16t^2+15t+12
(e)
maximum height is reached when h'(t)=-32t+15=0, or tm=15/32 seconds.
maximum height reached = h(tm)=h(15/32)=-16(15/32)^2+15(15/32)+12
=993/64 ft
=15.516 ft.
(f) when Greg reaches water, h(t)=0=-16t^2+15t+12
Solve for t using quadratic formula,
t=[-15+/- sqrt(15^2+4*12*16)]/(2*-16)
=-0.516s or 1.4535s.
Reject negative root so
Greg reaches water at t=1.4535 seconds.
3 0
3 years ago
Which expression converts startfraction pi over 4 endfraction radians to degrees?
scZoUnD [109]

Using the degree and radian relation π/4 radian equals 45°.

Given angle =π/4 radian

<h3>What is the relation between radian and a degree?</h3>

π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.

Since, 1 radian equals 180/π degree.

So, π/4 radian =180/π * π/4 degree.

π/4 radian = 45°.

So, π/4 radian equals  45°.

Therefore, using the degree and radian relation π/4 radian equals 45°.

To get more about angles visit:

brainly.com/question/25770607

6 0
3 years ago
Read 2 more answers
I need help fast plzz
svetlana [45]
 
Ah hah !  This is exactly what I was telling you about in the other answer.

A pair of angles that are formed by 2 lines and DON't share a side are called
"vertical angles", and a pair of vertical angles are always equal.

In this problem, the two angles on the sides facing each other are vertical angles, and that tells you that they're equal.

So you can immediately write         <u> 4y - 8  =  79 + y </u>,

and then you can easily solve that and find the value of 'y' .


3 0
3 years ago
Video didnt help and someone help
Alex787 [66]
The a answers is 7.5%
7 0
3 years ago
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