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Vedmedyk [2.9K]
3 years ago
15

I can't figure this out. Please help me

Mathematics
1 answer:
NISA [10]3 years ago
5 0
Volume: 16x5 1/2x3=264 cm³
That's your answer.~
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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
Anna35 [415]

Answer:

0.625kg

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

  • f(t) is the remaining quantity of a substance after time t has elapsed.
  • a is the initial quantity of this substance.
  • T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

hence, the remaining sample after 420 days is 0.625 kg

4 0
3 years ago
Megan has 40$ in her wallet. She wants to buy a dress. The regular price of the dress is 45$. The dress is sold at a discount of
devlian [24]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
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Which expression is equivalent to
Varvara68 [4.7K]

Answer:

the given expression is equivalent to

Step-by-step explanation:

\frac{ \sqrt[4]{200} }{2}

5 0
2 years ago
What is the gradient of the graph shown
Keith_Richards [23]

9514 1404 393

Answer:

  3

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

  m = rise/run = 3/1 = 3

The gradient of the graph is 3.

5 0
2 years ago
A triangle with sides of lengths 9, 22, and 24 is a right triangle
Leona [35]

Answer:

The statement is false

Step-by-step explanation:

we know that

if the triangle is a right triangle

then

the triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=24\ units

a=9\ units

b=22\ units

substitute

24^{2}=9^{2}+22^{2}

576=81+484

576 \neq 565

therefore

Is not a right triangle

The statement is false

4 0
2 years ago
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