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3 years ago

Which graph shows the solution to this system of inequalities? y < 3x - 4 y ≥ x + 1

Mathematics

1 answer:

timama [110]3 years ago

8 0

Answer:

Step-by-step explanation:

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3. What is the last step to complete a perpendicular bisector construction? *

Furkat [3]

Its

C. Draw a line connecting the the intersection of the arcs below and above the segment.

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3 years ago

21 help asap Brailiest pic below

Dominik [7]

Answer:

Step-by-step explanation:

The inverse is just the opposite it is a flip

7 0

3 years ago

Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li

krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

$A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years$

First, let us calculate the decay constant (k)

$75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036$

Next, let us calculate the half-life as follows:

$\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years$

Therefore the half-life is between 600 and 700 years

5 0

3 years ago

Plz help me due today

Blababa [14]

Answer:

2976 in³

Step-by-step explanation:

Stool volume = upper smaller prism + Lower bigger prism

Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976

check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976

3 0

2 years ago

0.00045−2.5⋅10 −5 = what is the answer i been up all day

Mama L [17]

If I’m getting this right the equation is: 0.00045 - 2.5 x 10 - 5? The dot in between 2.5 and 10 indicates a multiplication sign

So...

0.00045 - (2.5 x 10) - 5
0.00045 - 25 - 5
= -29.9999 -> -30

8 0

2 years ago