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3 years ago

Match each scenario with the integer that can be used to describe it.

Mathematics

2 answers:

Rainbow [258]3 years ago

8 0

Yoo you still need the answers this kinda esay tell me if you need help

Vlad [161]3 years ago

4 0

Answer:

86: The basketball team scored 86 points

50: You deposited $50 in your bank account

8: A dolphin jumped 8 feet out of the water

-86: The elevation of Death Valley is 86 meters below sea level

-50: Eva withdrew $50 out of her account

-8: The temperature dropped 8 degrees

Step-by-step explanation:

In the bank situation you are losing or gaining something for example Eva withdrew $50 out of her account, since her bank account has less money in it its negative 50 and vice versa with depositing 50 in the bank account (adding more money to account makes it positive 50)

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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

Can anyone please solve this

jonny [76]

Which one do you need?

5 0

3 years ago

F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.

Zina [86]

Answer:

Step-by-step explanation:

hello :

Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6 means : x-2 =√6 or x-2 = -√6

x = 2+√6 or x = 2-√6

4 0

3 years ago

I need help!! thanks. Will crown.

Ymorist [56]

Answer:

d(10)=20?

Step-by-step explanation:

Hope it helps

can i have the crown(brainliest)?

6 0

3 years ago

Pls help only b,d, and f

Leya [2.2K]

Solving for y right?

2y = 3x + 4 - x
2y = 2x + 4
y = 2x + 4 over 2
y = 2 (x + 2) over 2
y = x + 2

y - 3 = 2x - 6 over 2
y - 3 = 2(x - 3) over 2
y - 3 = x - 3
y = x

x - y - 2 = 2(2x + 1)
-y - 2 = 2(2x + 1) - x
-y = 2(2x + 1) - x + 2
y = -2(2x + 1) + x - 2

8 0

3 years ago