What does x equal? 3(14x-15)=-72

Answer:

[tex]\frac{1}{2^{10}}=2^{-10}[/tex]

Step-by-step explanation:

[tex]\frac{1}{1024}[/tex]

To get the expression with negative exponent , we need to convert the number 1024 in exponential form

[tex]1024= 2^5 \cdot 2^5= 2^{10}[/tex]

Replace the denominator by 2^10

[tex]\frac{1}{2^{10}}[/tex]

Now we apply exponential property

[tex]\frac{1}{a^m} =a^{-m}[/tex]

[tex]\frac{1}{2^{10}}=2^{-10}[/tex]

negative exponent other than -1 is [tex]\frac{1}{2^{10}}=2^{-10}[/tex]

Answer:

12 R11 or 12 11/12

Step-by-step explanation:

The first 5 multiples of 18 is = 18 ,  36 , 54 , 72 , 90

The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18

What are Factors of a Number?

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

Let the number be A = 18

Now ,

The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18

The factor pairs of 18 is given by

Factor pairs are the two numbers that, when multiplied, give the number 18.

Therefore, pair factors of 18 are (1,18), (2,9), and (3,6)

The prime factorization of 18 is  

Prime Factorization of 18 = 2 × 3²

The first 5 multiples of 18 is = 18 ,  36 , 54 , 72 , 90

Hence , first 5 multiples of 18 are 18 , 36 , 54 , 72 , 90 and the factors of 18 are 1 , 2 , 3 , 6 , 9 and 18

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The annual interest rate is 6% and this can be determined by using the formula of simple interest and also by using the given data.

Given :

The formula of the simple interest can be used in order to determine the annual interest rate.

The formula of the simple interest is given by:

A = P(1 + rt)

where A is the final amount, P is the principal amount, r is the rate of interest, and t is the time in years.

Now, substitute the values of the known terms in the above formula.

520 + 156 = 520(1 + 5r)

Simplify the above expression in order to determine the value of 'r'.

676 = 520(1 + 5r)

1.3 = (1 + 5r)

0.3 = 5r

r = 0.06

Now, multiply by 100 in order to determine the percentage.

r = 0.06 [tex]\times[/tex] 100

r = 6%

So, the annual interest rate is 6%.

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The  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The ratio of the number of boys to the number of girls at Liam's school is 4:5 and there are 270 students at his school.

4x + 5x = 270

9x = 270

x= 30

Then, Total boys = 4(30) = 120

Total girls = 5(30) = 150

We can see that Clearly, (Number of girls) > (Number of boys)

Difference =  (Total girls) - (Total boys)

= 150-120

= 30

Hence, The  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

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Answer:

Option C is correct that is  ∠ERT and ∠MRC are vertically opposite.

Step-by-step explanation:

Vertical angles are the angles that are exactly opposite to each other in crossed lines.

Here, ∠ERT and ∠MRC are the two angles that are  vertically opposite.

Therefore, Option C is correct.  

Rest all three option A,B and D are discarded.

The swimming pool will contain 482 gallons of water after 6 hours.

To find out how many gallons of water the pool will contain after 6 hours, we can use the formula: Volume = initial volume + rate of change * time. In this case, the initial volume is 500 gallons, the rate of change is -3 gallons per hour, and the time is 6 hours.

Using the formula, we have: Volume = 500 + (-3 * 6) = 500 - 18 = 482 gallons.

Therefore, the pool will contain 482 gallons of water after 6 hours.

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Answer:

3,5,6,7,9

These are the answers

Answer:

Option D.

Step-by-step explanation:

The given expression is [tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]

We have to write it in the simplified form.

[tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]

= [tex](5.5\times 10^{-6})-(0.37\times 10^{-6} )[/tex]

= (5.5 - 0.37)×[tex]10^{-6}[/tex]

= 5.13×[tex]10^{-6}[/tex]

Option D will be the answer.

An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation.

An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. In this expression, the numbers 3, 5, 4, and 1 are combined using the addition and subtraction operations. The addition operation is represented by the symbol '+', and the subtraction operation is represented by the symbol '-'. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation:

(3+5) × (4-1) = 8 × 3 = 24

Answer:

The required expression is [tex]12+\frac{9}{y}[/tex].

Step-by-step explanation:

Consider the provided phrase.

The sum of 12 and the quotient of 9 and a number

Let the number is y and the quotient of 9 and a number can be written as:

[tex]\frac{9}{y}[/tex]

Thus, the sum of 12 and the quotient of 9 and a number can be written as:

[tex]12+\frac{9}{y}[/tex]

Hence, the required expression is [tex]12+\frac{9}{y}[/tex].