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3 years ago

How many of the numbers from the set $\{1,\ 2,\ 3,\ldots,\ 50\}$ have a perfect square factor other than one?

Mathematics

1 answer:

Novay_Z [31]3 years ago

5 0

Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5) = 9, 18, 27, 45

5^2(1, 2) = 25, 50

7^2 = 49

19 numbers

Step-by-step explanation:

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Prove that 5^7+5^6 is divisible by 6.

pishuonlain [190]

Answer:

The Proof for $5^{7}+5^{6}\ is\ divisible\ by\ 6$ is below.

Step-by-step explanation:

To Prove:

$5^{7}+5^{6}\ is\ divisible\ by\ 6$

Proof:

We know law of indices

$a^{m}.a^{n}=a^{m+n}$

Therefore,

Step 1: Applying law of indices

$\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}$

Step 2: Taking common $5^{6}$ we get

$\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})$

Step 3: $5^{1} = 5$ so add 5 + 1 we get

$\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}$

Step 4: Cancel 6 from both denominator and numerator we get

$\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6}$ ...That is Divisible by 6 Proved

7 0

3 years ago

How many faces does the polyhedron have?

NikAS [45]

9514 1404 393

Answer:

Step-by-step explanation:

We presume the figure is a rectangular pyramid and that there are two hidden faces, one on the bottom and one at the back.

We can see 3 faces, so adding the two we presume we can't see, there are a total of 5 faces on this polyhedron.

4 0

3 years ago

A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy

Lady_Fox [76]

Answer:d it’s obviously d brainlyest plz

Step-by-step explanation:

6 0

3 years ago

I will give brainyest

Maslowich

2 Large Box=6.24

3 Small box=5.04Answer:

0.14

0.13

0.01

0.48 or -1.2

Step-by-step explanation:

Easye as pie

16 ounce is 2.24

24 ounce is 3.12

ok 2.24/16

0.14 price per ounce

for first one

now second one

3.12/24

0.13price per ounce

second one

0.14-0.13=0.01

for last question

2 large boxes=6.24 dollars

each large box=24ounces

2 boxes=48

0.13*48=6.24

6.24 dollars for 2 large boxes

3 small boxes=5.04

0.14 each ounce and 12 each small box

so 12*3=36

36*0.14

5.04

so if the smalle box had 48 ounces it would costs 6.72

2 Large Box=6.24

3 Small box=5.04

-1.2

now into the ounces

6.72-6.24

0.48

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faltersainse [42]

Step-by-step explanation:

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