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Natalija [7]
3 years ago
10

Determine the direction that is parábola opens: y=4x^2+8x+2

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0
It should open up because the a which is 4 is positive
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http://www.elginschools.org/userfiles/179/Classes/7004//userfiles/179/my%20files/module%2011%20review%20key.pdf?id=11326

Step-by-step explanation:

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3 years ago
The diagonals of a kite separate the quadrilateral into four congruent triangles
statuscvo [17]
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6 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
Please help for 10 points and i will pick the brainliest . Thankyou
lidiya [134]
23) Store A: y=6.30÷2
y=3.15
Store B: y=3.2
Store C: y=3.25x
y=3.25 so Store A sells the cheapest so (A) is the answer

24) the area uses half of the diameter, not the whole diameter. so the answer is 5.5pi^2 (B)

25) 1/2 × 1/2 = 1/4 × 1/2 = 1/8 (D)

26) was done correctly and (D) is the correct answer

27) 2 (x-3) +1 =19
2 (x-3) = 19 - 1
(x-3) = 18 ÷ 2
x-3 = 9
x= 9+3
x=12 (D)
4 0
3 years ago
(Prt.2 from recent question)
34kurt

Answer:

Describe what the point (0,0) on the graph represents in terms of the situation being described by the graph. when the sales of the

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