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3 years ago

What does it mean when we write √100 = 10 in terms of squares and side lengths? Explain. *

Mathematics

2 answers:

True [87]3 years ago

8 0

It means 100 squared would equal to 10.
For example 16squared=4 because 4 x 4 = 16
Hope this helped :)

erica [24]3 years ago

4 0

Step-by-step explanation:

$\sqrt{100}=10$ because $10^{2}=100$ . 10 is the square root of 100, which means that 10 multiplied by itself (10×10= $10^2$ ) is equal to 100. So, when you are trying to find the square root of a number, the square root is itself multiplied by itself.

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On a horizontal number line, numbers are what

Vikentia [17]

Answer:

to the right of zero if postive if negative left

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2 years ago

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After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

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2 years ago

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Answer:

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3 years ago

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elena55 [62]

It is the AAS Postulate.

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This also means that the angle next to them are also right angles, because they are linear pairs (180-90=90)

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This is your first A.

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This is your S.

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2 years ago

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ki77a [65]

See attached image

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Reasons why others are False
</span>GNJ is supplementary to JNK, not complementary
MNG is supplementary to GNJ, not complementary
LNJ (not KNJ) <span>is supplementary to MNL
</span>GNM is equal to JNK, not supplementary

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2 years ago

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