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Tamiku [17]
4 years ago
14

Find the prime factorization of the number. Write the result using exponents 1. 245

Mathematics
1 answer:
icang [17]4 years ago
5 0
245=5•7•7=5•7^2
Where 5,7,7 are the prime factors
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The value of y varies directly with x If x equals 3 than y equals 21 what is the value of c when the value of y equals 105
mihalych1998 [28]

If y and x varies directly we can use a rule of 3 to find the missing x so:

\begin{gathered} 3\to21 \\ x\to105 \end{gathered}

and the equation will be:

\begin{gathered} x=\frac{3\cdot105}{21} \\ x=15 \end{gathered}

6 0
1 year ago
1. What is the value of the expression 3^-4?. a) -81. b) -12. c) -1/81. d) 1/81. 2. What is the value of the expression 1/4^3?.
hjlf

Answer:

1.

Option d is correct

2.

Option c is correct

3.

Option a is correct

4.

Option d is correct

5.

Option c is correct

Explanation:

Using exponent rule:

a^{-n} = \frac{1}{a^n}

1.

Given the expression:  

3^{-4}

Apply the exponent rules:

\frac{1}{3^4} = \frac{1}{81}

Therefore,  the value of the given expression is, \frac{1}{81}.

2.

To find the value of the expression \frac{1}{4^3}

then;

\frac{1}{4^3} = \frac{1}{64}

Therefore, the value of the given expression is, \frac{1}{64}.

3.

Find the the value of the expression \frac{2}{4^3}

then;

\frac{2}{4^3} = \frac{2}{64}

Simplify:

\frac{1}{32}

Therefore, the value of the given expression is, \frac{1}{32}.

4.

Given the expression:

K^{-3} = \frac{1}{27}

we can write this as:

K^{-3} = \frac{1}{3^3}

Apply the exponent rules:

K^{-3} = 3^{-3}

On comparing both sides we have;

K = 3

Therefore, the value of K is, 3

5.

Given the expression:

3^N= \frac{1}{81}

we can write this as:

3^N= \frac{1}{3^4}

Apply the exponent rules:

3^N = 3^{-4}

On comparing both sides we have;

N = 4

Therefore, the value of N is, -4

3 0
4 years ago
Read 2 more answers
Solving equations <br><br> -2(x + 3)=3(2x-10)
nika2105 [10]

Answer:

x=3

Step-by-step explanation:

3 0
3 years ago
Brainnnnnnnnnnnnnnnnnnnnnnnnnnn
umka21 [38]

point A is located at the required coordinate

7 0
3 years ago
Add -8 + (-1)= <br> -7 <br> -9 <br> 9 <br> 7
sergejj [24]

Answer:

-9

hope it helped and stay safe

6 0
3 years ago
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