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3 years ago

Which expression represents the difference of nine and half a number?

Mathematics

1 answer:

zubka84 [21]3 years ago

5 0

Step-by-step explanation:

$n-\text{a number}\\\\\dfrac{1}{2}n=0.5n=\dfrac{n}{2}-\text{half a number}\\\\\text{The difference of nine and half of number:}\\\\\huge\boxed{9-\dfrac{1}{2}n=9-0.5n=9-\dfrac{n}{2}}$

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Select the correct answer.

Tasya [4]

Answer:

it is the first one it is

Step-by-step explanation:

8 0

3 years ago

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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

qaws [65]

Answer:

Step-by-step explanation:

Let P be the population of the community

So the population of a community increase at a rate proportional to the number of people present at a time

That is

$\frac{dp}{dt} \propto p\\\\\frac{dp}{dt} =kp\\\\ [k \texttt {is constant}]\\\\\frac{dp}{dt} -kp =0$

Solve this equation we get

$p(t)=p_0e^{kt}---(1)$

where p is the present population

p₀ is the initial population

If the initial population as doubled in 5 years

that is time t = 5 years

We get

$2p_o=p_oe^{5k}\\\\e^{5k}=2$

Apply In on both side to get

$Ine^{5k}=In2\\\\5k=In2\\\\k=\frac{In2}{5} \\\\\therefore k=\frac{In2}{5}$

Substitute $k=\frac{In2}{5}$ in $p(t)=p_oe^{kt}$ to get

$\large \boxed {p(t)=p_oe^{\frac{In2}{5}t }}$

Given that population of a community is 9000 at 3 years

substitute t = 3 in ${p(t)=p_oe^{\frac{In2}{5}t }}$

$p(3)=p_oe^{3 (\frac{In2}{5}) }\\\\9000=p_oe^{3 (\frac{In2}{5}) }\\\\p_o=\frac{9000}{e^{3(\frac{In2}{5} )}} \\\\=5937.8$

<h3>Therefore, the initial population is 5937.8</h3>

7 0

3 years ago

-17x = -204<br><br> What is x?<br><br> x = _

stellarik [79]

Answer:

x = 12

Step-by-step explanation:

-17x = -204 (Given)

x = 12 (division)

Negative x negative = positive

8 0

3 years ago

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NEED HELP FAST WILL MARK BRAINLIEST

Tju [1.3M]

Pretty sure the answer is 18

3^2+3^2=9+9=18 (with a square root)

6 0

3 years ago

I don’t know how to identify this

Rina8888 [55]

Answer:

x = -1/8 x (Option D)

Step-by-step explanation:

First find the slope which is rise / run = difference in y values / corresponding difference in x values

= ( 0.5 - (-0.5) / (-4 - 4)

= 1 / -8

= -1/8

Using the point-slope form of the equation of a line

y - y1 = m(x - x1), here we have m = -1/8 and (x1, y1) = ( -4, 0.5) , so:-

y - 0.5 = 1/8(x - (-4)

y - 0.5= -1/8(x + 4)

y = -1/8 x - 0.5 + 0.5

y = -1/8 x (answer)

4 0

4 years ago