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3 years ago

5

Sallie's recipe calls for a total of cups of flour to make biscuits. It says to use cup of flour from the total for rolling out

the dough. Which number line shows how much flour Sallie needs to roll out the dough and how much flour she needs for the dough? A. B. C. D.

1 answer:

kramer3 years ago

8 0

Answer:

D

Step-by-step explanation:

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What is the order of rotational symmetry for the figure?

mylen [45]

C is the right answer.

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Solving systems by elimination 3x+y=9<br> y=3x+6

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3 years ago

Suzanne practiced playing the piano for 1.6 hours<br> after school. Write 1.6 as a mixed number.

LUCKY_DIMON [66]

Answer:

1 3/5

Step-by-step explanation:

The number 1.6 can be writen using the fraction 16/10 which is equal to 8/5 when reduced to lowest terms.

It is also equal to 1 3/5 when writen as a mixed number.

You can use the following approximate value(s) for this number:

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3 years ago

A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. Find the age of the mammal hide to t

Naya [18.7K]

Answer: 54678 years

Step-by-step explanation:

This can be solved by the following equation:

$N_{t}=N_{o}e^{-\lambda t}$ (1)

Where:

$N_{t}=54\%=0.54$ is the quantity of atoms of carbon-14 left after time $t$

$N_{o}=1$ is the initial quantity of atoms of C-14 in the mammal hide

$\lambda$ is the rate constant for carbon-14 radioactive decay

$t$ is the time elapsed

On the other hand, $\lambda$ has a relation with the half life $h$ of the C-14, which is $5730 years$ :

$\lambda=\frac{ln(2)}{h}=\frac{ln(2)}{5730 years}=1.21(10)^{-4} years^{-1}=0.000121 years^{-1}$ (2)

Substituting (2) in (1):

$0.54=1e^{-(0.000121 years^{-1}) t}$ (3)

Applying natural logarithm on both sides of the equation:

$ln(0.54)=ln(1e^{-(0.000121 years^{-1}) t})$ (4)

$-0.616=-(0.000121 years^{-1}) t$ (5)

Isolating $t$ :

$t=\frac{-0.616}{-0.000121 years^{-1}}$ (6)

$t=54677.68 years \approx 54678 years$ (7) This is the age of the mammal hide

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3 years ago

8. Which situation BEST represents an inverse variation ?

Mademuasel [1]

The correct answer is option D.

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Inverse variation implies negative relationship. This means that as one of the quanties being compared increases the other decreases and vice versa..

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1 year ago