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Troyanec [42]
3 years ago
12

Solve for y.8^3-3y=256^4y

Mathematics
1 answer:
aliina [53]3 years ago
3 0
8^{3-3y}=256^{4y}\\\\(2^3)^{3-3y}=(2^8)^{4y}\\\\2^{3(3-3y)}=2^{8\cdot4y}\\\\2^{9-9y}=2^{32y}\iff9-9y=32y\\\\-9y-32y=-9\\-41y=-9\ \ \ \ /:(-41)\\\\y=\frac{9}{41}
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Write the prime factorization for 65,169
posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

6+5+1+6+9=27=3\cdot 9

So, we can divide the number by 3 and keep going with the factorization:

65169\div 3 = 21723

This number is again divisible by 3, because

2+1+7+2+3 = 15 = 3\cdot 5

We have

21723\div 3 = 7241

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

7241\div 13 = 557

And 557 is prime, so we're done. This means that the prime factorization of 65169 is

3^2\cdot 13 \cdot 557

8 0
3 years ago
The angle of elevation from object a to object b is always ______ the angle of depression from object b to object a.
Marysya12 [62]

Answer:

Equal to

Step-by-step explanation:

The angle of depression from object A to object B is always Equal to the angle of elevation from object B to object A.

It was in the notes in slide 7 in the bottom

4 0
2 years ago
I WILL GIVE BRAINIEST
Anit [1.1K]

Answer:

10 hours, 30 minutes.

Step-by-step explanation:

Distance ÷ Speed = Time

525 ÷ 50 = 10.5

7 0
2 years ago
Thirty coins,all dimes and nickels,are worth $2.60. How many nickels are there?
quester [9]

Answer: 12 nickels

Step-by-step explanation:

4 0
3 years ago
Solve the equation using the order of operations.<br><br> 5+{2×[(5−1)+6]}÷4
creativ13 [48]

Answer:

The order of operations is PEMDAS

First step is to do everything is parenthesis or brackets

5+{2*[(5-1)+6]}/4

{2*[(5-1)+6]}

First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.

{2*[4+6]}

Next you would go 4+6=10, because that is your next smallest bracket

{2*10}

Last you would go 2*10=20

Your equation now looks like this

5+{20}/4

In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division

5+5

You would go 20/4=5

Last step is to add/subtract

5+5=10

Your final answer would be 10

Hope this helps ;)

Step-by-step explanation:

5 0
3 years ago
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