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3 years ago

13

the teacher said there was about a one in a million chance of obtaining a perfect score by guessing on a test where all question

s were true or false. assuming the teacher was not exaggerating, about how many true-false questions were on this test?

1 answer:

Elden [556K]3 years ago

5 0

Would it be one million? That's my best guess

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The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 66% of the carbon-1

xz_007 [3.2K]

The tree died about 3357 years ago.

Explanation:

The half life of carbon - 14 is given by

$A(t)=A(0)e^{-kt}$

where $A(t)=0.5$

$A(0)=1$

$t=5600$

Substituting these values in the above equation, we get,

$0.5=1e^{-5600k}$

Taking In on both sides of the equation, we get,

$In(0.5)=-5600k$

$\frac{In(0.5)}{-5600} =k$

$0.00012377=k$

Since, only 66% of Carbon - 14 remains after the time T.

Thus, we have,

$0.66=1e^{-kT}$

Taking In on both sides of the equation, we get,

$In(0.66)=-0.00012377 \ T$

$\frac{In(0.66)}{-0.00012377} = T$

$3357=T$

Thus, the tree died about 3357 years ago.

6 0

3 years ago

25 + x^2 + 10x = 0<br><br> solve for x

andrezito [222]

Answer:

x= -5

Step-by-step explanation:

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3 years ago

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Examine Tamika's work below. What is Tamika's error? 18a^-5b^-6/30a^3b^-5=3a^-2b^-11/5

vlada-n [284]

Answer:

She added the exponents

Step-by-step explanation:

:) hope that helps

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3 years ago

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Biologists tagged 196 fish in a lake on January 1. On February 1, they returned and collected a random sample of 42 fish, 14 o

erastovalidia [21]

Answer:

approximentley 588 fish live in the lake

Step-by-step explanation:

42 divided by 14 =3

196 multiplied by 3=588

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3 years ago

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function C equals 34.95 yo

ASHA 777 [7]

Answer:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

8 0

3 years ago