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scoundrel [369]
3 years ago
6

that there exists a pair of consecutive integers such that one of these integers is a perfect square and the other is a perfect

cube
Mathematics
1 answer:
Brrunno [24]3 years ago
6 0
0=0^2
1=1^3

Or are you looking for nontrivial pairs?
You might be interested in
Pleaseee help this is urgent!!! I need it in English! Please show all the work ! 14 points
zzz [600]

Answer:

width = 40 feet, length = 90 feet

Step-by-step explanation:

length = 2w + 10

width = w

Perimeter = 260

Perimeter of rectangle = 2length + 2width

Sub the values into that equation:

260 = 2(2w + 10) + 2(w)

260 = 4w + 20 + 2w

260 = 6w + 20

260 - 20 = 6w

240 = 6w

w = 240/6

w = 40

So now we know the width of the garden is 40 feet.

To find the length, substitute the width into the length equation:

length = 2w + 10

length = 2(40) + 10

length = 90 feet

length = 90 feet, width = 40 feet

3 0
3 years ago
A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon spa
sweet [91]

Answer:

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 43

Given that the mean of the sample = 47

Given that the standard deviation of the Population = 25

Given that the sample size 'n' = 76

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀: μ = 43</em></u>

<u><em>Alternative Hypothesis: H₁: μ ≠ 43</em></u>

Test statistic

           Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

          Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }

          Z = 1.39

Level of significance = 0.05

The critical value = 1.96

<u><em>Final answer:-</em></u>

<em>The calculated value Z = 1.39 <1.96 at 0.05 level of significance</em>

<em>The null hypothesis is accepted </em>

4 0
3 years ago
MATH!!!! HELP ME!!!!!! PLEASE!!!!!
worty [1.4K]
Wefjwwafsdmvfbadk dcfafc aefkc fakfca faefjafoca seferter greif erfgksrjefgs rkregkews 
6 0
3 years ago
Can someone explain to me how to do this and give me the answer please?​
pantera1 [17]

Answer:

To find x, y, z, p and q, you need to know about the property of Rhombus.

13y + 10 = 7y + 16 (pair of equal opposite sides)

=> 6y = 6

=> y = 1

x = 7x + 16 (2 equal adjacent sides)

  = 7*1 + 16

  =23

z = 90 deg (angle between 2 diagonals)

q = 22 deg (isosceles triangle)

p = 90 - 22 = 68 deg (right triangle)

4 0
3 years ago
Which of the following is a singleton set?​
aleksandrvk [35]

Step-by-step explanation:

2 option is the answer.

hope it helps

5 0
3 years ago
Read 2 more answers
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