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steposvetlana [31]
3 years ago
12

Evaluate the following expression when x = -5 and y = -12. | 4x^2 - 2y |

Mathematics
1 answer:
juin [17]3 years ago
6 0
The answer to this is -76
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765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
tia_tia [17]

Answer:

All the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

Step-by-step explanation:

765ab4 to be divisible by 36, it must be divisible by both 9 and 4.

For any number to be divisible by 4, the last two digits of the number must be divisible by 4.

Here, the last two digits are b4, so as the number b4 is divisible by 4, b can be 0,2,4,6, and 8.

For any number to be divisible by 9, the sum of all the digit of the number must be divisible by 9.

Here, the sum of all the digits, S= 7+6+5+a+b+4=22+a+b.

Now, we have b={0,2,4,6, 8}

For b=0,

S=22+a+0=22+a which is a multiple of 9.

So, the possible value of the digit a :

a=5

So, (a,b)=(0,5)

For b=2,

S=22+a+2=24+a which is a multiple of 9.

So, the possible value of the digit a :

a=3

So, (a,b)=(2,3)

For b=4,

S=22+a+4=26+a which is a multiple of 9.

So, the possible value of the digit a :

a=1

So, (a,b)=(4,1)

For b=6,

S=22+a+6=28+a which is a multiple of 9.

So, the possible value of the digit a :

a=8

So, (a,b)=(6,8)

For b=8,

S=22+a+8=30+a which is a multiple of 9.

So, the possible value of the digit a :

a=6

So, (a,b)=(8,6)

Hence, all the ordered pairs (a,b) are

(0,5), (2,3), (4,1), (6,8), and (8,6).

3 0
3 years ago
Help me please thanks​
liubo4ka [24]
54.7 cm because a squared + b squared = c squared
5 0
3 years ago
Help plz :( (plz show work) 3. Nancy invested $6000 in a bond at a yearly rate of 3%. She earned $450 in
sergij07 [2.7K]

Answer: 2years, 5 months

Step-by-step explanation:

Principal, P = $6000

Rate, R = 3%

Interest, I = $450

Time, T =?

Simple Interest, I = P x T x R/ 100

making T, subject of formula

T = 100 x I/ P x T

Substituting the values into the equation,

T = 100 x 450/ 6000 x 3

T = 45000/ 18000

T = 2.5years = 2years, 5 months

5 0
3 years ago
HELP ME PLEASE, ILL GIVE BRAINLIEST
Elena L [17]

Answer: I helped LOL

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the volume of the sphere in terms of pie
NeTakaya

Answer: The volume is 288π .

Step-by-step explanation:

V= 4/3 *n*r^3

V = 4/3*n * 6^3

v=4/3 *n * 216

v= 288n

6 0
3 years ago
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