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3 years ago

Simplify. Type your answer WITHOUT spaces. Use a lowercase x. 10x-7+x+3

Mathematics

1 answer:

iren2701 [21]3 years ago

6 0

Answer:

11x-4

Step-by-step explanation:

10x + x = 11x

-7 + 3 + -4

keep the sign in front of the number/variable

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Answer:

The answer is -24, I think!

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2 years ago

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Write 5 pounds for $2.49 as a unit rate. round to the nearest hundreth

DaniilM [7]

5 pounds = $2.49

1 pound = $2.49 ÷ 5 = $0.50 (nearest hundredth)

Answer: $0.50/pound

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A truck is 250 inches long. A car is 35% shorter than the truck. How long is the car

drek231 [11]

Answer:

87.5 inches long

Step-by-step explanation:

250 x 0.35 = 87.5

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3 years ago

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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

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3 years ago

13 copies of the small rectangle shown below have been used to make the larger rectangle.

Nikolay [14]

Answer:

4800

Step-by-step explanation:

length = 20mm X 3 = 60mm

width = 20mm X 4 = 80mm

area = length X width = 60 X 80 = 4800 m $m^{2}$

I hope it helps you!

8 0

2 years ago