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3 years ago

Joshua decides to use synthetic division to find the the quotient of (equation provided above).

Mathematics

1 answer:

tamaranim1 [39]3 years ago

3 0

Answer:

the value to be written is -2

Step-by-step explanation:

The first thing we will do here is to set the divisor equals to zero

The divisor is the denominator

Thus, we have x + 2 = 0

This indicates that x = -2

The term to be written in front of the coefficients is -2

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The function A=A_oe^{-0.01155x} A = A o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in

vivado [14]

They are essentially asking us to solve:

$357=900e^{-0.01155x} \implies\\ \frac{357}{900}=e^{-0.01155x} \implies\\ \ln{\frac{357}{900}}=-0.01155x \implies \\ x\approx 80.1$

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.

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2 years ago

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The population of Chicago, Illinois, in 2003 was 2,869,121. The area of Chicago was 227.1 square miles. What was the average num

ValentinkaMS [17]

Answer:

12,633.7

Step-by-step explanation:

population of Chicago, in 2003 = 2,869,121

The area of Chicago = 227.1 square miles.

What was the average number of people living in 1 square mile?

Average number of people living in 1 square mile also refers to the population density of Chicago

Average number of people living in 1 square mile = Total population / total square miles

= 2,869,121 / 227.1

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Approximately

12,633.7

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2 years ago

WORTH 15 POINTSSSSSSSSS

QveST [7]

Answer:

Step-by-step explanation:

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2 years ago

Last Sunday a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the stor

Marat540 [252]

Answer:

D. $\frac{400p}{500-p}$

Step-by-step explanation:

let's call A the number of copies sold of newspaper A and B the number of copies sold of newspaper B.

So, we can formulate the following equations from the sentence: a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each as:

A + B = 256 (1)

1A + 1.25 B = Total Revenue (2)

Then, r and p are equal to:

$r=\frac{A}{Total Revenue}*100=\frac{100A}{A+1.25B}$ (3)

$p=\frac{A}{256} *100=\frac{100A}{256}$ (4)

Isolating A from (4) and B from (1), we get:

$A=\frac{256p}{100} =2.56p$ (5)

$B=256-A=256-2.56p$ (6)

Finally, replacing (5) and (6) in (3), we get:

$r=\frac{100A}{A+1.25B}=\frac{100(2.56p)}{2.56p+1.25(256-2.56p)}\\\\r=\frac{256p}{2.56p+320-3.2p}=\frac{256p}{320-0.64p}\\\\r=\frac{256p/0.64}{(320-0.64p)/0.64}=\frac{400p}{500-p}$

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3 years ago

Consider the following equations x=4/t and y = 4-t^2 a. Solve the equation for y (eliminate the parameter.)

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Answer:

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Step-by-step explanation:

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2 years ago