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morpeh [17]
3 years ago
7

Plutonium-240 decays according to the function e(t)=Q e-k where 0 represents the quantity remaining after t years and k is the d

ecay constant, 0.00011... To the nearest 10 years, how long will it take 27 grams of plutonium-240 to decay to 9 grams? A. 1.44 years B. 2,100 years C. 9,990 years D. 18,900 years​
Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer: 9,990

Step-by-step explanation:

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Answer true or false for 1-10 (picture above)
Softa [21]

\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a+b}\leq\sqrt{a}+\sqrt{b}\\\\\sqrt{a-b}\geq\sqrt{a}-\sqrt{b}\\----------------------\\1)\ \sqrt{72}=\sqrt{9\cdot8}=\sqrt{9}\cdot\sqrt{8}\qquad TRUE\\\\2)\ \sqrt{13-5}=\sqrt{13}-\sqrt5\qquad FALSE\\\\3)\ \sqrt{9\cdot10}=\sqrt9+\sqrt{10}\qquad FALSE\\\\4)\ \sqrt{18bx}=\sqrt{18}\cdot\sqrt{b}\cdot\sqrt{x}\qquad TRUE\ if\ b\geq0\ and\ x\geq0\\\\5)\ \sqrt{8\cdot12}=\sqrt8\cdot\sqrt{12}\qquad TRUE\\\\6)\ \sqrt{m+x}=\sqrt{m}+\sqrt{x}\qquad FALSE

7)\ \sqrt{100+64}=\sqrt{100}+\sqrt{64}\qquad FALSE\\\\8)\ \sqrt{30}=\sqrt{5\cdot6}=\sqrt5\cdot\sqrt6\qquad TRUE\\\\9)\ \sqrt{44}=\sqrt{22+22}=\sqrt{22}+\sqrt{22}\qquad FALSE\\\\10)\ \sqrt{10\cdot10}=\sqrt{10}\cdot\sqrt{10}\qquad TRUE

3 0
3 years ago
Choose the system of inequalities that best matches the graph below.
lapo4ka [179]

Answer:

D) y\:, y\:>\:-x

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of  2.

It has equation : y=2x+2

Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

y\:

The blue boundary line passes through the origin and has slope -1.

Its equation is y=-x.

Since the boundary line is not solid and the right half-plane is shaded, its inequality is y\:>\:-x

The correct choice is D.

4 0
3 years ago
Part A
rjkz [21]

Answer:

Step-by-step explanation:

Part A

Solve 4,500 ÷ 90. Enter your answer in the box.

 

Answer : 50

Part B

Select all the expressions that are equal to 4,500 ÷ 90.

A. 4,500 ÷ 9 tens  ✔️

B. 450 ÷ 90  ❌

C. 450 ÷ 9  ❌

D. 4,500 ÷ 9  ❌

E. 4,500 ÷ 90 tens ❌

8 0
3 years ago
Prudie needs $90 or more to be able to take her family out to dinner. She has already saved $30 and wants to take her family out
Aleks [24]
90≤4x+30

Yes she will have enough. 4 multiplied by 18 is 72. 72+30=102. 

Hope this helped.
7 0
3 years ago
Pls help Im very stuck on this and don’t understand
Lady bird [3.3K]

Answer:

C. 85 degrees

Step-by-step explanation:

Step 1: Set up equation

x + 57 + 96 + x = 131

Step 2: Solve for <em>x</em>

2x + 153 = 131

2x = -22

x = -11

Step 3: Find m∠RQU

m∠RQU = 96 + <em>x</em>

m∠RQU = 96 - 11

m∠RQU = 85°

8 0
3 years ago
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