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3 years ago

What is the equation of the line?

Mathematics

1 answer:

maxonik [38]3 years ago

3 0

Answer:

y = 7

Step-by-step explanation:

Note how the blue line passes through y = 7 on the y-axis.

The equation of this horizontal line is simply y = 7.

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The mass, m grams, of a radioactive substance, present at time t days after first being observed, is given by the formula m=24e^

Reika [66]

Answer:

(i) The value of m when t = 30 is 13.2

(ii) The value of t when the mass is half of its value at t=0 is 34.7

(iii) The rate of the mass when t=50 is -0.18

Step-by-step explanation:

(i) The m value when t = 30 is:

$m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2$

Then, the value of m when t = 30 is 13.2

(ii) The value of the mass when t=0 is:

$m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24$

Now, the value of t is:

$ln(\frac{m_{0}/2}{24}) = -0.02t$

$t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7$

Hence, the value of t when the mass is half of its value at t=0 is 34.7

(iii) Finally, the rate at which the mass is decreasing when t=50 is:

$\frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48* (e^{-0.02*50}) = -0.18$

Therefore, the rate of the mass when t=50 is -0.18.

I hope it helps you!

3 0

3 years ago

It's cool sold 1020 tickets for a benefit concert. For ticket sales were 85% of the seating capacity of the school auditorium. H

fgiga [73]

There would be 1,200 seats in the auditorium.

8 0

3 years ago

Read 2 more answers

Write each expression in a simpler form that is equivalent to the given expression. Let F be a nonzero number. f-4

natima [27]

Answer:

f-4

Step-by-step explanation:

f-4 cannot be simplified

This is the simplest form

7 0

3 years ago

Read 2 more answers

leyroy opened a savings account 25 years ago with a deposit of 3080.43 the account has and inerest rate of 3.7 compounded monthl

neonofarm [45]

Answer: 4,676.96

Procedure:

The formula for compounded interest is:

$factor, f=(1+r)^n$

Future value = investment * factor

Interests = future value - investment

Where r is the monthly rate, which you calculate as the % yearly rate divided by 12.

And n is the number of months which is equal to the number of years times 12.

These are the calculations:

$r=(3.7/100)/12=0.037/12=0.0030833$

$n=25*12=300$

$factor=(1+0.0030833)^{300}=2.518$

Future value = 3080.43 *2.518 = 7,757.39

Interests = 7,757.39 - 3080.43 = 4,676.96

5 0

4 years ago

Please help what am I looking at

otez555 [7]

Answer:

i do not know

Step-by-step explanation:

3 0

3 years ago