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3 years ago

14

A triangle with side lengths of 12in 16in and 24 inches is a right triangletrue or false

1 answer:

satela [25.4K]3 years ago

6 0

Answer:

False.

Step-by-step explanation:

The legs of a right triangle must have equal lengths and none of these are the same length.

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Suppose that a Petri dish initially contains 2000 bacteria cells. An antibiotic is introduced and after 4 hour, there are now 16

Sergeu [11.5K]

Answer:

a)The linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b)The exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

Step-by-step explanation:

(a) Suppose that P(t) is a linear function. Find a formula for P(t):

$P(t)$ can be modeled by a linear function in the following format.

$P(t) = P_{0} - r*t$ , in which $P_{0}$ is the initial number of bacteria cells in the dish, t is the time and r is the rate that the number decreases.

Since the dish initially contains 2000 bacteria cells, $P_{0} = 2000$

We have

$P(t) = 2000 - r*t$

An antibiotic is introduced and after 4 hour, there are now 1600 bacteria cells present. So $P(4) = 1600$ . With this information, we can find the value of r.

$P(t) = 2000 - r*t$

$1600 = 2000 - r*(4)$

$4r = 400$

$r = \frac{400}{4}$

$r = 100$

So, the linear function for $P(t)$ is:

$P(t) = 2000 - 100*t$

b) Suppose that P(t) is an exponential function. Find a formula for P(t)

$P(t)$ can also be modeled by an exponential function in the following format:

$P(t) = P_{0}e^{rt}$

The values mean the same as in a). We use the fact that $P(4) = 1600$ to find r.

$P(t) = 2000e^{rt}$

$1600 = 2000e^{4r}$

$e^{4r} = \frac{1600}{2000}$

$e^{4r} = 0.8$

$ln e^{4r} = ln 0.8$

$4r = -0.22$

$r = \frac{-0.22}{4}$

$r = -0.055$

So, the exponential function for $P(t)$ is:

$P(t) = 2000e^{-0.055t}$

5 0

4 years ago

What is the repulsive force between two pith balls that are 13.0 cm apart and have equal charges of −24.0 nC?

daser333 [38]

Answer:

The repulsive force is $3.067\times10^{-4}N$ .

Step-by-step explanation:

Consider the provided information.

The coulomb's law to calculate the repulsive force: $F=\frac{kQ_1Q_2}{r^2}$

Where the value of k is 9.00×10⁹ Nm²/C²

Substitute the respective values in the above formula.

$F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{[(13 cm)(\frac{1m}{100cm} )]^2}$

$F=\frac{9\times10^9\frac{N\cdot m^2}{c^2} \times(-24\times10^{-9}C)^2}{(0.13 m)^2}$

$F\approx0.0003067N$

$F=3.067\times10^{-4}N$

Hence, the repulsive force is $3.067\times10^{-4}N$ .

8 0

3 years ago

A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many ga

vaieri [72.5K]

Answer:

3 gallons or 3.032

Step-by-step explanation:

find the total surface area (758)

divide by 250 or subtract 250 till it is under that number

4 0

3 years ago

The _____ appears in the equation of a line as the coefficient of the variable x.

zvonat [6]

In the question <span>The _____ appears in the equation of a line as the coefficient of the variable x. it is.(slope)</span>

5 0

3 years ago

Ceramic tiles sell for $13.08 for a box of 12 tiles. Find the price per tile.

soldier1979 [14.2K]

13.08x12 =156.96. All you have to do is multiply

7 0

4 years ago