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jek_recluse [69]
1 year ago
9

Find the intercepts and graph each line. a.) x – 4y =− 4 b.) 2x + 5y =-10

Mathematics
1 answer:
Snezhnost [94]1 year ago
4 0

Answer:

(1,5) I think that's what it is

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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
Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)
Maru [420]

Answer:

x = all real numbers because this equation is an identity

Step-by-step explanation:

9 (1/3) = 9*1/3 = 3

3 + 8x = 4(2x + 3/4)

3 + 8x = 8x + 3

x = all real numbers because this equation is an identity

7 0
2 years ago
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Find the solution of the following simultaneous inequalities: x - 7 –1
Zinaida [17]

Answer:

x-8

Step-by-step explanation:

You add the -7 and -1 and then put the x in front of your answer.

7 0
3 years ago
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pls help !! I need help with these few math problems !! Ily :) PLS SIMET WITH A LINK OF A PEICE OF PAPER WITH THE WORK :)
N76 [4]

Answer:

a.) 32 miles per gallon

divide by two to get one gallon

b.) She can go 32 miles on one gallon

use the info from part a

c.) 384 miles

multiply 32 by 12 to get 12 gallons

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2 years ago
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A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
ss7ja [257]

Answer:

Pythagorean theorem:

x^2 = 17^2 - 8^2

x^2 = 225

x = sqrt(225) = 15

The distance is 15 ft

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