Can I have the answer to this?

Mathematics

2 answers:

lora16 [44]4 years ago

7 0

Answer:

∛2 can be written as $2^\frac{1}{3}$ . The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.

Stels [109]4 years ago

7 0

Answer:

2 1/3 is the answer

Step-by-step explanation:

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What is the equation of the line that is parallel to the line y = -1/3x+4

RUDIKE [14]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{1}{3}$ x + 4 ← is i slope- intercept form

with slope m = - $\frac{1}{3}$

Parallel lines have equal slopes, thus

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 2 + c ⇒ c = 5 + 2 = 7

y = - $\frac{1}{3}$ x + 7 ← equation of parallel line

8 0

3 years ago

A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

serious [3.7K]

Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

$A=A_0e^{rt}\\3000=6000e^{r(3)}$

$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$