1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Temka [501]
3 years ago
9

What pattern do you notice in the numbers below? 1 = 1 × 1, and 1 × 1 × 1, and 1 × 1 × 1 64 = 8 × 8, and 4 × 4 × 4 729 = 27 × 27

, and 9 × 9 × 9 4,096 = 64 × 64, and 16 × 16 × 16 A. They are perfect squares. B. They are perfect cubes. C. They are both perfect squares and perfect cubes. D. They are neither perfect squares nor perfect cubes.
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

<h3>C. They are both perfect squares and perfect cubes.</h3>

Step-by-step explanation:

Perfect squares are numbers that their square root can be found easily without any remainder.

Given the following patterns;

1*1 = 1  and 1*1*1 = 1

It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1

Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)

Similarly for the expression;

8*8 = 64

8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)

Also 4*4*4 = 64

i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)

The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16

This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.

You might be interested in
Plz help if you can<br> Thank ya
koban [17]

Answer:

90\pi

Step-by-step explanation:

The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that \sqrt{12^2+5^2}=13 cm. Plugging this into the equation, you get \pi \cdot 5 \cdot 13=90\pi. Hope this helps!

3 0
2 years ago
Give the dimensions of the small prisms that can be used to pack the larger prism
Neporo4naja [7]
Okay we'll go through all the steps. Ready?

4 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth.<br> 13 ft<br> 10 ft
Jlenok [28]

Answer:

340

Step-by-step explanation:

340.33 and rounfing off whole number is 340

5 0
2 years ago
Evaluate + , if x = 10, y = -5, and z = -2.
stepladder [879]

Answer:

post the whole thing

Step-by-step explanation:

then ill do it

5 0
2 years ago
Read 2 more answers
In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass bala
Maslowich

Answer:

H0: μd=0 Ha: μd≠0

t= 0.07607

On the basis of this we conclude that the mean weight differs between the two balances.

Step-by-step explanation:

The null and alternative hypotheses as

H0: μd=0 Ha: μd≠0

Significance level is set at ∝= 0.05

The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Specimen        A               B           d = a - b         d²

1                     13.76        13.74         0.02           0.004

2                    12.47        12.45          0.02         0.004

3                    10.09        10.08           0.01        0.001

4                       8.91       8.92          -0.01          0.001

5                     13.57      13.54           0.03        0.009

<u>6                     12.74      12.75          -0.01        0.001</u>

<u>∑                                                      0.06         0.0173</u>

d`= ∑d/n= 0.006/6= 0.001

sd²= 1/6( 0.0173- 0.006²/6) = 1/6 ( 0.017294) = 0.002882

sd= 0.05368

t= 0.001/ 0.05368/ √6

t= 0.18629/2.449

t= 0.07607

Since the calculated value of t= 0.07607 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the mean weight differs between the two balances.

3 0
3 years ago
Other questions:
  • Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown.
    14·2 answers
  • Plz help
    15·1 answer
  • In the number 514,482,441, how is the relationship between the first pair of 4s the same as the relationship between the second
    6·2 answers
  • 9s+3=57<br> Z/5+3=-35<br> 7(c-12)=-21
    14·1 answer
  • write in point-slope form an equation of the line that passes through the point (6,2) with slope of 4
    9·1 answer
  • Due in 4 minutes Need help ASAP
    8·1 answer
  • Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
    15·1 answer
  • Adding Unlike denominators 1/11 + 1/4
    14·1 answer
  • Decide if each answer will be less than or greater than the original number drag each to the correct category
    9·2 answers
  • Function or not a function
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!