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Lubov Fominskaja [6]
3 years ago
13

Write an equation of the line with the slope of -7 going through the point (6,-7)

Mathematics
1 answer:
ozzi3 years ago
3 0

Answer:

Step-by-step explanation:

Y-Y1= m(x-x1)

Y+7 = -7(x-6)

Y+7= -7x+42

Y= -7x+35

7x+y-35=0

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the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​
madam [21]

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

f(t)=a(r)^t

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}

One year has 365 days.

Therefore, the amount remaining after one year will be:

\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

f(t)=Ce^{kt}

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

255=510e^{38k}

Solving for k:

\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)

Thus, our function is:

f(t)=510e^{t\ln(.5)/38}

Then after one year or 365 days, the amount remaining will be about:

f(365)=510e^{365\ln(.5)/38}\approx 0.6548

5 0
2 years ago
Each of the students im Romi's class raised at least $25 during the jump-a-thon. What is the least amount of money the class rai
EastWind [94]
If each of the 28 students made at least $25, you would multiply 28 and 25 together to obtain the least amount of money the class raised. That gets, 28x25 = 700. The class made at least $700.
8 0
3 years ago
2 horses ran from the same place from the at same time one horse ran at 2 miles per second and the other ran at a speed for 18 m
RSB [31]

Answer:

no horse can run 18 miles per second or even 2 miles per second.

Step-by-step explanation:

4 0
3 years ago
37:35-(32:24-10).2+√289=
Mkey [24]

Answer:

to simplify this it is 1295/1804

Step-by-step explanation:

3 0
2 years ago
three friends jogged last month. Richard jogged 9 miles last month. Jena jogged 2 times as many miles as Richard. Brian jogged 4
ANTONII [103]

Answer:

Jena=18 miles Brian=36 miles

Step-by-step explanation:

well if you add what Richard got and double it (9+9=18 or 9x2=18) you get how much Jena ran. then if u add (9+9+9+9=36 or 9x4=36) you get Brians miles he ran


8 0
3 years ago
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