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3 years ago

Hello hello helppppppppppppp

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

7 0

Answer:
5 units left and 2 units down

olganol [36]3 years ago

6 0

Answer:

the person anove is correct

Step-by-step explanation:

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Given MO is perpendicular to NP and NO is congruent to PO prove MN is congruent to MP

VladimirAG [237]

Lets imagine the shape
M
/\
/ | \
/ | \
/ | \
P /___ |___\ N
O
Now in If we take â†MOP and â†MON
As MO âŠĄ NP so â MON=â MOP
NO=NP (given)
And MO is a common side
so by side angle side rule of congruency
â†MOP and â†MON are congruent
so MP is congruent to MN

8 0

4 years ago

What is k if : k!+48=48((k+1)^m)

lys-0071 [83]

Answer:

The value of k is greater than or equal to 0, i.e. k≥7.

Step-by-step explanation:

The given equation is

$k!+48=48((k+1)^m)$

The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.

Subtract 48 from both the sides.

$k!=48((k+1)^m)-48$

$k!=48((k+1)^m-1)$

$k!=48(k+1-1)(\frac{(k+1)^m-1}{(k+1)-1})$

Using $[\frac{r^m-1}{r-1}=r^{m-1}+r^{m-2}+...+1]$ , we get

$k!=48k((k+1)^{m-1}+(k+1)^{m-2}+...+1)$

Divide both sides by 48k.

$\frac{k!}{48k}=(k+1)^{m-1}+(k+1)^{m-2}+...+1$

$\frac{k(k-1)!}{48k}=(k+1)^{m-1}+(k+1)^{m-2}+...+1$

$\frac{(k-1)!}{48}=(k+1)^{m-1}+(k+1)^{m-2}+...+1$

Note: The value of m can be 0 or 1.

The value of k is positive integer, so the right hand side of the above equation must be a positive integer.

Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.

$k-1\geq 6$

Add 1 on both sides.

$k\geq 6+1$

$k\geq 7$

Therefore the value of k is greater than or equal to 0.

4 0

4 years ago

A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds

jonny [76]

Answer: The fraction of pounds of fruits over total pounds of fruits and vegetables is given by

$\frac{25125}{66724}$

Step-by-step explanation:

Since we have given that

Total amount of vegetables = 208 pounds

Total amount of fruits is given by

$125\frac{5}{8}\text{ pounds}$

Total amount of fruits and vegetables is given by

$208+125\frac{5}{8}\\\\=208+\frac{1005}{8}\\\\=\frac{1664+1005}{8}\\\\=\frac{2669}{8}\\\\=333.625\text{ pounds }$

So, we need to find the fraction of pounds of fruits over the total pounds of fruit and vegetables :

$\frac{\text{Pounds of fruits }}{\text{ total pounds of fruits and vegetables}}\\\\=\frac{\frac{1005}{8}}{333.62}\\\\=\frac{1005}{8\times 333.62}\\\\=\frac{1005}{2668.96}=\frac{25125}{66724}$

3 0

3 years ago

What is 42789 x 54678

vichka [17]

42789 times 54678
is 2,339,616,942

Show Work:
Calculate 9 x 8, which is 72.
Since 72 is two-digit, we carry the first digit 7 to the next column.

3 Calculate 8 x 8, which is 64. Now add the carry digit of 7, which is 71.
Since 71 is two-digit, we carry the first digit 7 to the next column.

4 Calculate 7 x 8, which is 56. Now add the carry digit of 7, which is 63.
Since 63 is two-digit, we carry the first digit 6 to the next column.


5 Calculate 2 x 8, which is 16. Now add the carry digit of 6, which is 22.
Since 22 is two-digit, we carry the first digit 2 to the next column.

6 Calculate 4 x 8, which is 32. Now add the carry digit of 2, which is 34.
Since 34 is two-digit, we carry the first digit 3 to the next column.

7 Bring down the carry digit of 3.

8 Calculate 9 x 7, which is 63.
Since 63 is two-digit, we carry the first digit 6 to the next column.

9 Calculate 8 x 7, which is 56. Now add the carry digit of 6, which is 62.
Since 62 is two-digit, we carry the first digit 6 to the next column.

10 Calculate 7 x 7, which is 49. Now add the carry digit of 6, which is 55.
Since 55 is two-digit, we carry the first digit 5 to the next column.

11 Calculate 2 x 7, which is 14. Now add the carry digit of 5, which is 19.
Since 19 is two-digit, we carry the first digit 1 to the next column.

12 Calculate 4 x 7, which is 28. Now add the carry digit of 1, which is 29.
Since 29 is two-digit, we carry the first digit 2 to the next column.


13 Bring down the carry digit of 2.

14 Calculate 9 x 6, which is 54.
Since 54 is two-digit, we carry the first digit 5 to the next column.

15 Calculate 8 x 6, which is 48. Now add the carry digit of 5, which is 53.
Since 53 is two-digit, we carry the first digit 5 to the next column.


16 Calculate 7 x 6, which is 42. Now add the carry digit of 5, which is 47.
Since 47 is two-digit, we carry the first digit 4 to the next column.


17 Calculate 2 x 6, which is 12. Now add the carry digit of 4, which is 16.
Since 16 is two-digit, we carry the first digit 1 to the next column.


18 Calculate 4 x 6, which is 24. Now add the carry digit of 1, which is 25.
Since 25 is two-digit, we carry the first digit 2 to the next column.


19 Bring down the carry digit of 2.


20 Calculate 9 x 4, which is 36.
Since 36 is two-digit, we carry the first digit 3 to the next column.

21 Calculate 8 x 4, which is 32. Now add the carry digit of 3, which is 35.
Since 35 is two-digit, we carry the first digit 3 to the next column.

22 Calculate 7 x 4, which is 28. Now add the carry digit of 3, which is 31.
Since 31 is two-digit, we carry the first digit 3 to the next column.

23 Calculate 2 x 4, which is 8. Now add the carry digit of 3, which is 11.
Since 11 is two-digit, we carry the first digit 1 to the next column.

24 Calculate 4 x 4, which is 16. Now add the carry digit of 1, which is 17.
Since 17 is two-digit, we carry the first digit 1 to the next column.

25 Bring down the carry digit of 1.

26 Calculate 9 x 5, which is 45.
Since 45 is two-digit, we carry the first digit 4 to the next column.

27 Calculate 8 x 5, which is 40. Now add the carry digit of 4, which is 44.
Since 44 is two-digit, we carry the first digit 4 to the next column.

28 Calculate 7 x 5, which is 35. Now add the carry digit of 4, which is 39.
Since 39 is two-digit, we carry the first digit 3 to the next column.

29 Calculate 2 x 5, which is 10. Now add the carry digit of 3, which is 13.
Since 13 is two-digit, we carry the first digit 1 to the next column.

30 Calculate 4 x 5, which is 20. Now add the carry digit of 1, which is 21.
Since 21 is two-digit, we carry the first digit 2 to the next column.

31 Bring down the carry digit of 2.

32 Calculate 342312 + 2995230 + 25673400 + 171156000 + 2139450000, which is 2339616942

6 0

3 years ago

Read 2 more answers

−2 2 21 +(−0.25÷(− 1 4 )−1.5÷(− 3 16 ))÷(−4 1 11 )

Setler79 [48]

Answer:

$-2\frac{2}{21}+(-0.25\div(-14)-1.5\div(-\frac{3}{16}))\div(-4\frac{1}{11})=-4.0551$