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charle [14.2K]
3 years ago
5

Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X, how long, to the nearest ten

th of a minute, would it take the element to decay to 30 grams?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

the answer and explanation of the question is in the picture

Step-by-step explanation:

hope this helps

please like and Mark as brainliest

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),
MArishka [77]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

8 0
3 years ago
Read 2 more answers
10. Find the Volume of the pictured box. Write your answer in ft.
vichka [17]

Answer:

VOLUME = L×B×H = 30 × 15× 1.5 = 675 ft^3

675 ft^3 = 25 cubic yards

so, you need 25 cubic yards of cement to fill that block

7 0
2 years ago
What is 3x2/3=. Show work please
KatRina [158]
If you're confused whether to do multiplication or division first. 
<span>Remember PEMDAS. It's the Order of Operation. Basically, it's the order of which operators are prioritized in an equation.

From Highest to Lowest Priority.
Parentheses, Exponents, (Multiplication and Division), and (Addition and Subtraction)

Multiplication and Division have the same priority, as well as Addition and Subtraction.

So for this it is which ever comes first, from left to right of the equation is prioritized.

WORKING:

3x2/3

The multiplication operator comes first, so we do:
3 x 2=6

Finally, we take "6" and divide it by 3

6 / 3 = 2

Answer is: 2</span>
7 0
2 years ago
naomi has earned $54 mowing lawns the past two days. shew worked 2 1/2 hours yesterday and 4 1/2 hours today. if naomi is paid t
egoroff_w [7]
She earns $9/hour. If you add up 2.5 and 4.5, you would get 7. Now you just need to divide. 54/7=9. 
5 0
3 years ago
in a survey 9 out of 10 doctors recommended a certain medicine if 80 doctors were surveyed how many doctors recommended the medi
ale4655 [162]

Answer:

72 doctors recommended the medicine

Step-by-step explanation:

The question above is interpreted thus.

9 out of 10 implies 9/10. If 80 doctors were surveyed, the number of doctors that recommended the medicine is 9/10 of 80 doctors. Therefore,

\frac{9}{10}  \: of \: 80

=  \frac{9}{10}  \times 80

=  \frac{9 \times 80}{10}

=  \frac{720}{10}

=  72

Therefore, in a survey where 9 out of 10 doctors recommended a certain medicine; and 80 doctors were surveyed, 72 doctors recommended the medicine.

6 0
3 years ago
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