All categories

2 years ago

Which function has a simplified base of 4^3√4?

Mathematics

1 answer:

IrinaVladis [17]2 years ago

4 0

Answer:

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$ .

Step-by-step explanation:

We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).

Now, the exponential function in the option III will be the answer.

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$ .

So, the base is $(\sqrt[3]{16} )^{2}$ = $\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}$ . (Answer)

The general formula of an exponential function is $f(x) = a(b)^{x}$ , where b is called the base of the function.

You might be interested in

Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?

Grace [21]

Answer:

Step-by-step explanation:

See the graph for an example using the specific angles $\theta=60^\circ , \,\, \180^\circ-\theta=120^\circ$

See how the red segments are equal in length but going in opposite directions?

$\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}$

a. This can't be correct: it says $\tan{\theta}$ is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.

b. Not true in Quad. I. Consider $\tan{60^\circ}, \,\, \tan{30^\circ}$ .

5 0

2 years ago

4/9 divided by what equals 12

Dahasolnce [82]

(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27

5 0

2 years ago

Suppose the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations. Th

madreJ [45]

Answer:

H₀: μ₁ = μ₂ vs, Hₐ: μ₁ > μ₂.

Step-by-step explanation:

A two-sample z-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.

It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.

The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:

H₀: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. μ₁ = μ₂.

Hₐ: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. μ₁ > μ₂.

The significance level of the test is:

α = 0.05.

The test is defined as:

$z=\frac{(\bar x_{1}-\bar x_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}}}$

The decision rule for the test is:

If the p-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.

6 0

2 years ago

Graphs which present the values on the horizontal axis and the number of times this occurs on the vertical axis are known as wha

Ivanshal [37]

Answer:

The horizontal axis represents TIME

Step-by-step explanation:

In a time-series plot, the horizontal axis represents time, and the vertical axis represents the value of the variable we are measuring. -The values of the variable are plotted at each of the times, then the points are connected with straight lines.

3 0

1 year ago

Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely each

aniked [119]

This is how we solved and make the equation.
Stock A = 100
Stock B = 45

For the past months, his stocks inversely decreased.
Stock A = m cents / share
Stock B = n cents * share

So the equation is
= 100 (0.01m) + 45 (0.01n)
= m + 0.45n

6 0

2 years ago