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3 years ago

PLEASE ANSWER 20 POINTS!!!

Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

There is no solution for x

Step-by-step explanation:

5x+2=5x+5

subtract 2 from each side- 5x=5x+3

subtract 5x from each side- 3

once you get rid of the 5x from both sides there is no longer a solution for x

Pls Mark Brainliest

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When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 973 co

HACTEHA [7]

Answer:

A. number of decayed atoms = 73.197

Step-by-step explanation:

In order to find the answer we need to use the radioactive decay equation:

$N(t)=N0*e^{kt}$ where:

N0=initial radioactive atoms

t=time

k=radioactive decay constant

In our case, when t=0 we have 1,000,000 atoms, so:

$1,000,000=N0*e^{k*0}$

$1,000,000=N0$

Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:

$973,635=1,000,000*e^{k*365}$

$ln(973,635/1,000,000)/365=k$

$-0.0000732=k$

A. atoms decayed in a day:

$N(t)=1,000,000*e^{-0.0000732t}$

$N(1)=1,000,000*e^{-0.0000732*1}$

$N(1)= 999,926.803$

Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197

B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.

4 0

3 years ago

HELP FAST PLEASE! FOR BRAINLIEST!!

Gekata [30.6K]

Answer:

1. C-surface area

2. The formula V = B x h is not suitable, because the surface area of wrapping paper needed to be calculated, not the volume.

V = Ph + 2B = 15x(5+6+9) + 2x 9x3/2 = 327

3. B: Base area

H: Height of solid

4. She said V =220, while V_real = 7x6x4 =168

=> She is wrong

5. Check the Pythagorean theorem 3^2+4^2 =9+16 =25 =5^2

=> Right triangle.

=> Area = 3x4/2 =6

4 0

4 years ago

Dream studio offers 5 music lessons for $60 fox studio offers 8 music lessons for $72 what is the cost per lesson

AlexFokin [52]

Answer:

dream studio

1=$12

fox studio

1=$9

therefore, fox studio is better

8 0

4 years ago

Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =

vampirchik [111]

Answer:

In this problem, we are given the following functions:

$f(x)=\frac{1}{2}x$

and its inverse function:

$f^{-1}(x)=2x$

First of all, we want to calculate $f(2)$ . This can be obtained by substituting

x = 2

into f(x). Doing so, we find:

$f(2)=\frac{1}{2}\cdot 2 = 1$

Then we want to calculate $f^{-1}(1)$ . We can do it by substituting

x = 1

into $f^{-1}(x)$ . Doing so,

$f^{-1}(1)=2\cdot 1 = 2$

Then we want to calculate $f^{-1}(f(2))$ , which can be found by calculating f(2) and then using it as input for $f^{-1}(x).$ We know that

f(2) = 1

Therefore,

$f^{-1}(f(2))=f^{-1}(1)=2$

Then we want to calculate $f^{-1}(-2)$ , which can be calculated by plugging

x = -2

into $f^{-1}(x)$ . Doing so,

$f^{-1}(-2)=2\cdot (-2)=-4$

Then we want to calculate $f(-4)$ ; by substituting

x = 4

into f(x), we find

$f(-4)=\frac{1}{2}\cdot (-4)=-2$

Finally, we want to find $f(f^{-1}(-2))$

We know already that

$f^{-1}(-2)=-4$

So we have:

$f(f^{-1}(-2))=f(-4)=-2$

7 0

3 years ago

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Assume running consumes 100 calories per mile. If you run 10-minute miles, what is your average power output, in watts, during a

Aleks04 [339]

We are given with the rate of calories burnt out through running of <span>100 calories per mile. If 10 miles is ran, we get the total calories burnt is </span><span>100 calories per mile * 10 miles equal to 1000 calories. Power (watts) is equal to Joules per second. 1000 calories is equal to 4185.8 Joiules. In an hour run- the power is 69.76 Watts</span>

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3 years ago