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3 years ago

Say whether each of these numbers is a fraction, a decimal, or a whole number: ⅗, 18.2, 47!

Mathematics

1 answer:

denpristay [2]3 years ago

6 0

Answer:

Fraction, decimal, whole number

Step-by-step explanation:

if it has a line, it's a fraction. If it has a dot, it's a decimal. If it has none of the above, it's a whole number

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Find the discriminant of the equation. x2 + 3x - 4 = 0

ivann1987 [24]

Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0

Here, a = 1, b = 3 and c = -4.

The formula for the discriminant is b^2 - 4(a)(c).

Substituting the given values of a, b and c, we get:

(3)^2 - 4(1)(-4)

Evaluating this, we get 9 + 16 = 25.

The discriminant is 25.

-3 plus or minus √25

Taking this further, x = ------------------------------------

-3 plus or minus 5

or: x = -------------------------------- => {-4, 1} (solutions)

5 0

3 years ago

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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

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Anne has a 10 3/4 pound bag of flour. Each time she bakes a batch of rolls she uses 2 1/6 pounds of flour. How many pounds of fl

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ABC is a three digit number where each number represents a different digit. If A < C what is the greatest possible number?

velikii [3]

Answer:

879

Step-by-step explanation:

7 0

3 years ago

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