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Alika [10]
3 years ago
9

Henry was thinking of a number Henry halves it and gets a an answer of 12.4 what was the original number

Mathematics
1 answer:
jeka943 years ago
3 0
Answer: 24.8
Explanation: If Henry is halving a number, that means he's dividing it by 2, getting two halves. You would get the original number by undoing that division, or multiplying the product by 2.
2 x 12.4 = 24.8
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Can someone please explain to me how to tell if a number it's prime or not
slavikrds [6]

Answer:

A prime number is a number that can only be divided by 1 and itself.

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What is the slope of the line graphed on the coordinate plane
Mice21 [21]

Answer:

The slope = 3/4

Step-by-step explanation:

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}

m = 3/4

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2 years ago
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When June sits down today to read she notices she is on page 20 of a 200 page book. She decides to read 4 pages of this book eve
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The answer is b. 60 || 4x10=40, 40+20=60
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3 years ago
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How many natural numbers N have the property among 1,2,..........,N exactly 30% are divisible by 3?
k0ka [10]

Answer:

The answer is B. 2.

Step-by-step explanation:

We know that for N = 1 and N = 2, none of them are divisible by 3.

For N = 3, 33.33% are divisible by 3.  For N = 4, 25% (which is already less than 30%), so N = 5 would also be less.

At N = 6, we're back up to 33.33%.  N = 7 is already less than 30%.

At N = 9, you guessed it, 33.33%.  N = 10 is 30% (3, 6, and 9).  So we have one case.

Moving along, at N = 18, 33.33%.  N = 20 is again 30% (3, 6, 9, 12, 15, and 18).  Two cases now.

Finally, at N = 21, again 33.33%.  N = 22 and N = 23 are both greater than 30%.  As we continue this, for any N after 20, we will always be greater than 30%.

4 0
3 years ago
The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

4 0
3 years ago
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