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Rom4ik [11]
3 years ago
15

Meg is playing a card game with her friend, Iona. The cards have positive and negative numbers printed on them. Meg exclaims: "T

he absolute value of the number on my card equals 8." What is the number on Meg’s card?
Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

Step-by-step explanation:

Meg claimed that absolute value of the number on her card is equals to 8 i.e.

Either she has a card which reads 8 or a card which reads -8 .

Absolute value is the magnitude card number irrespective of sign on it.

Thus there are two possible cards whose absolute value is 8 .

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When the points are in the SAME quadrant, what operation do you do to find the distance between them?
Mademuasel [1]
Use this formula, it’s called distance formula

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2 years ago
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

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

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
2 years ago
4/5(2x+5)−4=1<br><br> x = 1 1/4<br> x = 1 2/5<br> x = 5/8<br> x = 3 1/5
tia_tia [17]
The answer is x=5/8. The reason for this is when you divide it equal 0.625 then when you multiply that by 2 it equals 1.25. After you do that you add 5 which is 6.25. Now we divide 4/5 which is 0.8. Now, we multiply 6.25x0.8=5. 5-4=1. Therefore your answer is 5/8. Hope this helps :)
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3 years ago
While he hikes in the Gold Country of northern California, Sid dreams about the adventurers that walked the same trails years ag
olga2289 [7]
I did. Undestand the probelm
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3 years ago
8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years, to th
chubhunter [2.5K]

Answer:

(About) 20043.46 after 14 years

Step-by-step explanation:

~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~

1. First let us assign the values:

interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒  14 years

2. Now let us convert interest ⇒ decimal form: 0.065

3. Add 1 to this value 0.065 ⇒ 1 + 0.065 = 1.065

4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......

5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300    ⇒    

(About) 20043.46 after 14 years

5 0
3 years ago
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