All categories

3 years ago

Which is equivalent to 64^1/4

Mathematics

2 answers:

tigry1 [53]3 years ago

7 0

It number A i got it right and ill show you it

Elanso [62]3 years ago

4 0

we have

$64^{\frac{1}{4}}$

we know that

$64=2^{6}= 2^{2}*2^{4}$

$64^{\frac{1}{4}}=\sqrt[4]{64} \\ \\\sqrt[4]{64} =\sqrt[4]{2^{2}*2^{4}}$

$\sqrt[4]{2^{2}*2^{4}}=2\sqrt[4]{2^{2}}= 2\sqrt[4]{4}$

therefore

<u>the answer is the option </u>

$2\sqrt[4]{4}$

You might be interested in

write an equation in slope intercept form of a line passing through the point (2,-3) that is perpendicular to a line whose slope

vladimir2022 [97]

1) find slope. when its perpendicular, It will be a negative reciprocal to the given slope so m1= -1/m1
m=-1

2) $y=mx+b$
    y =-1x+b
    (-3)=-1(2)+b
     -3=-2+b
       b=-1

3) y=-1x-1

hope I helped!

6 0

3 years ago

A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o

g100num [7]

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

3 0

3 years ago

The sampling examples below use either the stratified or the cluster method of sampling. Select the examples that use the strati

Marysya12 [62]

A landlord wants to know the average income of his tenants. He selects three of his eight apartment complexes and collects income information from several randomly chosen tenants within the selected complexes.

A health agency needs to assess the performance of hospitals in a region but does not have the resources to evaluate each hospital. To reduce costs, the agency selects 5 of the 23 hospitals in the region and samples data related to performance from randomly chosen days and times.

Answer: Options D and E.

<u>Explanation:</u>

Cluster sampling is a sampling plan used when mutually homogeneous yet internally heterogeneous groupings are evident in a statistical population. It is often used in marketing research. In this sampling plan, the total population is divided into these groups and a simple random sample of the groups is selected.

Stratified sampling is a probability sampling technique wherein the researcher divides the entire population into different subgroups or strata, then selects the final subjects proportionally from the different strata.

8 0

3 years ago

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by: