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Art [367]
4 years ago
6

Which expression is equivalent to |a| < 3?

Mathematics
1 answer:
katen-ka-za [31]4 years ago
8 0

Answer:

1. a ≥ -3 and a ≤ 3

I am assuming you mean to have an = sign as well

Step-by-step explanation:

|a| < =3

we get two solutions, one positive and one negative

remember to flip the inequality for the negative

a<=3 and a >= -3


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2log(x-3)+1=5<br><br> can someone explain how to solve for x?
Brums [2.3K]
\bf 2log(x-3)+1=5\iff 2log_{10}(x-3)+1=5\\\\\\ 2log_{10}(x-3)=4&#10;\\\\\\&#10;log_{10}(x-3)=\cfrac{4}{2}\implies log_{10}(x-3)=2\\\\&#10;-----------------------------\\\\&#10;{{  a}}^{log_{{  a}}x}=x\impliedby \textit{using this cancellation rule}\\\\&#10;-----------------------------\\\\&#10;10^{\cfrac{}{}log_{10}(x-3)}=10^2\implies x-3=10^2\implies x=100+3
5 0
4 years ago
Gerald recorded the gains and losses for each play on the football field. Gains were marked with a + and losses with a –. Play 1
Vedmedyk [2.9K]

Answer:

Play 3

Step-by-step explanation:

Given:

\left\begin{array}{ccccc}{Play}&{1}&{2}&{3}&{4}&{Yards}&{+4}&{-6}&{-2}&{+3}\end{array}\right

Required [Missing from the question]:

Determine the play with the least change in yard?

To do this, we ignore the sign in front of each yard before we analyze.

So, we have:

Play 1 has a change of 4

Play 2 has 6

Play 3 has 2

Play 4 has 3

<em>From the above analysis, play has the least (which is 2)</em>

4 0
3 years ago
A minimum-phase continuous-time system has all its poles and zeros in the left-half s-plane. If a minimum-phase continuous-time
vlabodo [156]

Answer:

Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

Step-by-step explanation:

Bilinear Transform:

In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.

Minimum-Phase:

We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.

The bilinear transform is used to map the left half of the s-plane to the interior of the unit circle in the z-plane preserving the stability and minimum phase property of the system. Therefore, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

8 0
3 years ago
Read 2 more answers
Lorenzo recorded the favorite food of the students in the class according to the results of the survey what percent of the stude
Darina [25.2K]

Answer:

40 %

Step-by-step explanation:

2 divided by 30 and you get .4 which is the same as 40%


Hope this helps :)

4 0
4 years ago
What is the theme of the poem "Queen of the Cats"?
4vir4ik [10]

Answer:

Isu has a cat named Bashet. This one of the many names of the goddess Bast, queen of cats. He has siamese-type traos; his body has a ply tan ned hair, while his legs, tail, face and ears are so dark brown. Brown gradually blends into the most plida color. The cat just a normal cat, but Isu treats it with special reverence

Step-by-step explanation:

8 0
2 years ago
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