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Tanzania [10]
3 years ago
9

Simplify. (x3)5 5x3 x15 x2 x8

Mathematics
2 answers:
Kruka [31]3 years ago
8 0

Answer:

x^8

Step-by-step explanation:

when multiplying two things with exponents you must add the exponents(:

maks197457 [2]3 years ago
3 0
You just combine like terms so it'll be 5x^43
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2) WILL MAKE BRAINLIEST <br><br> write the slope-interception form of the equation of each line.
Norma-Jean [14]

Answer:

1.)  y= 3

2.)  y = 3/4 x -3

Step-by-step explanation:

8 0
3 years ago
4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
What is the volume of a rectangular prism with length 12 in., height 16 in., and width 13 in.?
Lilit [14]

Answer:

2496in3

Step-by-step explanation:

12x16x13=2496in3

7 0
3 years ago
Read 2 more answers
Translate the difference of five squared and n into symbols.
stira [4]

Answer:

5² - n  

Step-by-step explanation:

Five squared  = 5²

                     n =        n     Subtract n from 5²

                 Diff. = 5² - n

We indicate "taking the difference" by a "minus" sign, so all the other options are <em>wrong. </em>

6 0
3 years ago
Read 2 more answers
The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?
MAXImum [283]
We have to convert the measurements
the tray is 60 cm by 50 cm

if the cake tin is 25 cm in diameter, it will fit just 4 cakes because we have a length of 60 cm (will have 10 cm left over) and a width of 50 cm 
hope it helps
5 0
3 years ago
Read 2 more answers
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