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4 years ago

Convert 675 milliliters to liters. 67,500 L 67.5 L 6.75 L 0.675 L

Mathematics

2 answers:

musickatia [10]4 years ago

7 0

675/1000 = 0.675 L (Answer)

In 675 mL x 1L/1000 mL = 0.675 L

Liono4ka [1.6K]4 years ago

4 0

Answer:

675/1000 = 0.675 L (Answer)

In 675 mL x 1L/1000 mL = 0.675 L

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The half-life of a certain radioactive substance is 45 days. There are 6.2 grams present initially. On what day

kvasek [131]

Answer:

There will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days

Step-by-step explanation:

The given parameters are;

The half life of the radioactive substance = 45 days

The mass of the substance initially present = 6.2 grams

The expression for evaluating the half life is given as follows;

$N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}$

Where;

N(t) = The amount of the substance left after a given time period = 1 gram

N₀ = The initial amount of the radioactive substance = 6.2 grams

$t_{1/2}$ = The half life of the radioactive substance = 45 days

Substituting the values gives;

$1 = 6.2 \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}$

$\dfrac{1}{6.2} = \left (\dfrac{1}{2} \right )^{\dfrac{t}{45}$

$ln\left (\dfrac{1}{6.2} \right ) = {\dfrac{t}{45} \times ln \left (\dfrac{1}{2} \right )$

$t = 45 \times \dfrac{ln\left (\dfrac{1}{6.2} \right ) }{ln \left (\dfrac{1}{2} \right )} \approx 118.45 \ days$

The time that it takes for the mass of the radioactive substance to remain 1 g ≈ 118.45 days

Therefore, there will be less than 1 gram of the radioactive substance remaining by the elapsing of 118 days.

3 0

3 years ago

How do you solve x-8= -(12/x)

blagie [28]

$x\not=0\\
x-8= -\frac{12}{x}|\cdot x\\
x^2-8x=-12\\
x^2-8x+12=0\\
x^2-6x-2x+12=0\\
x(x-6)-2(x-6)=0\\
(x-2)(x-6)=0\\
x=2 \vee x=6
$

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3 years ago

You have two spreads, 5meats and two kinds of breads how many different sandwiches can you make using one of each type of ingred

LuckyWell [14K]

Answer: 20

<u>Step-by-step explanation:</u>

spreads: 2

meats: 5

breads: 2

Number of different sandwiches is: 2 x 5 x 2

= 20

5 0

3 years ago

Last week, the price of oranges at the farmer's market was $1.75 per pound. This week, the price has decreased by 20%. what is t

lyudmila [28]

Answer:

1,4

Step-by-step explanation:

1.75*0, 8=1,4

5 0

3 years ago

Read 2 more answers

A rectangular prism is 7 cm long, 4 cm wide and 4 cm tall. How many 2 times 2 times 2 cm cubes can the prism be cut into? What i

Fantom [35]

Answer: The number of 2 times 2 times 2 cm cubes is 14. The total surface area of all the 2 times 2 times 2 times cm cubes is 336 cm square. The total volume of all the 2 times 2 times 2 times cm cubes is 112 cm cube.

Explanation:

It is given that the A rectangular prism is 7 cm long, 4 cm wide and 4 cm tall.

The volume of rectangular prism is,

$V_1=l\times b\times h$

$V_1=7\times 4\times 4$

$V_1=112$

Therefore, the volume of rectangular prism is 112 cm square.

The volume of cubes is,

$V_2=a^3$

$V_2=(2)^3$

$V_2=8$

The number of cubes in the rectangular prism is,

$N=\frac{V_1}{V_2} =\frac{112}{8} =14$

Therefore, the number of cubes is 14.

Total surface area of a cube is,

$A=6a^2$

$A=6(2)^2$

$A=24$

Total surface area of all cubes is,

$14\times A=14\times 24=336$

Therefore the total surface area of all cubes is 336 cm square.

Total volume of all cubes is equal t the volume of rectangular prism, i.e, 112 cm cube.

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3 years ago