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2 years ago

Select all statements that are true about the graph and the situation it represents

Mathematics

1 answer:

omeli [17]2 years ago

8 0

Answer: ez

Step-by-step explanation:

its b

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8.)What is the Measurement of angle 2?<br><br> 9.) What is the measure of angle 7?

EastWind [94]

Answer:

angle 2 = 90° {corresponding angles}

angle 7 + angle 5 = 180° {linear pair}

or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}

so, angle 7 = 80°

8 0

2 years ago

John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters or dimes. The total value of the coins

lubasha [3.4K]

8 quarters = (8 x .25) = $2.00

5 dimes = (5 x .10) = $.50

$2.00 + $.50 = $2.50

8 + 5 = 13

3 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

I give brainiest!!! Find the area of that sector. Show work.

Aleksandr [31]

That's a quarter of the circle. So find the area of the circle, and divide by 4 to get the answer.

Circle area = 3.14*13^2 = 530.66
Answer = circle area / 4 = 132.665

6 0

3 years ago

Read 2 more answers

write the numeral that means the same as "three hundred fifty-two billion, six hundred thirty- five million"

sammy [17]

Answer:

352,635,000

Step-by-step explanation:

7 0

3 years ago