All categories

3 years ago

Which is an example of an algebraic expression? A. m – 3 B. b > –2 C. 4 c > 1 D. 12 = a 6

1 answer:

6 0

In a algebraic expression, numbers and/or variables have to EQUAL other numbers and/or variables.

A. m - 3 INCORRECT because it doesn't equal anything

B and C are also INCORRECT. They have greater than saigns, which means they are inequalities.

D is the answer

You might be interested in

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$

At t = 0

$C(0) = 8(e^{(0)}-e^{(0)}) = 0$

At t = 2

$C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185$

At t = 12

$C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059$

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

4 0

3 years ago

Help me pleaseeee xo

dolphi86 [110]

Answer:

Step-by-step explanation:

4 0

3 years ago

Franky's age is 5 years less that 1/2 his mothers age. If Franky is 13 years old,write an equation to determine his mothers age

Alik [6]

Answer:

1/2x-5=13

Step-by-step explanation:

Let x= Frankie’s mother’s age

Half his mother’s age= 1/2x

5 less than that=1/2x-5

We know that Frankie is 13 so that equation is equal to Frankie’s age, which is 13.

Hope this helps.

4 0

3 years ago

What multiplies to be 560 and adds to 9

Diano4ka-milaya [45]

There are no real numbers that can do that job.

There's a pair of complex numbers that can do it.
They are

   4.5 + i23.23
and
   4.5 - i23.23 .

   ' i ' = the imaginary unit = √(-1)

8 0

3 years ago

A rock drops from a height of 60m. how long does it take for it to hit the ground?

laila [671]

To solve for the time an object takes to hit the ground, the equation

y = y₀ + v₀t + ½gt², or just 0 = y₀ +½gt² since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, t = (−2y₀/g)^½.

(-2*60/-9.8)^½ = 3.50 seconds.

8 0

3 years ago