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Natali [406]
2 years ago
11

What are the zeros of this function? A) -8 B) -9 and 10 C) -2 and 4 D) 1

Mathematics
2 answers:
katrin2010 [14]2 years ago
8 0
-2 and 4 because it crosses the y axis love
skad [1K]2 years ago
7 0
C) -2 and 4 because it crosses over the x - axis
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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
Mario claims that if the dinominator of a fraction is a prime number, then its decimal form is a repeting decimal. Do you agree?
vodomira [7]

Answer:

I do not agree because Mario's claim is not general.

Step-by-step explanation:

Prime numbers: These are a set of numbers that are divisible by 1 and itself only. Examples are: 2, 3, 5, 7. 11 etc.

And a  denominator is the divisor in a given fraction.

Considering the following fractions whose denominators are prime numbers:

\frac{2}{3} = 0.66666666...

\frac{1}{7} = 0.142857142

\frac{5}{11} = 0.45454545...

\frac{3}{13} = 0.23076923

\frac{1}{7} = 0.142857142

It could be observed that Mario's claim is not a general principle which is applicable to all fractions with a prime denominator. Thus, I do not agree with his claim.

4 0
3 years ago
Use compatible numbers to estimate the quotient.<br> 486/6
Sladkaya [172]
The answer is 81. You just have to do the division in the traditional way.

8 0
3 years ago
Solve the expression 3a+5 when a=6
Svetllana [295]

Answer:

23

Step-by-step explanation:

3a+5

3(6)+5

18+5

23

8 0
2 years ago
Read 2 more answers
Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is high
mihalych1998 [28]

Answer: $1,200 + 5.5% + $45,000= 46200.055 or 46200

Step-by-step explanation: All you have to do is just add because if you read the text it has a key word total.

Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his <u>total </u>sales were $45,000. What was his gross pay?​

5 0
3 years ago
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