What is the approximate percent decrease when a fish count goes down from 850 to 500?

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.

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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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:

$1489.94

Step-by-step explanation:

6 1/2 in decimal form would be 0.065

Multiply total by decimal.

1399 x 0.065

= 90.935

Add sum to total.

90.935 + 1399

= 1489.935

In money it would be rounded to

$1498.94

Final answer:

The length Y (in feet) of a boa constrictor that is X years old is given by the equation Y = 0.6667X + 1.5. This equation takes into account the initial length of 1.5 feet at birth and an annual growth of 0.6667 feet.

Explanation:

To write an equation representing the length Y (in feet) of a boa constrictor that is X years old, we need to start with its initial length at birth and account for its growth over the years. The boa constrictor is 18 inches long at birth and grows 8 inches per year. However, we want Y to be in feet, so we must convert these measurements from inches to feet (since 1 foot = 12 inches).

To convert the initial length from inches to feet, we divide 18 inches by 12, which gives us 1.5 feet. The annual growth should also be converted from inches to feet by dividing 8 inches by 12, resulting in approximately 0.6667 feet.

So, using slope-intercept form (Y = mx + b), our equation is:

Y = 0.6667X + 1.5

This equation states that the boa constrictor starts with a length of 1.5 feet at birth (Y-intercept) and grows about 0.6667 feet for every year that passes (the slope).

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:

[tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 3 meter per second or 4 miles per hour.

As per the statement:

If you can buy 1⁄3 of a pound of turkey for 4 dollars

by definition of unit rate we have;

[tex]\text{Unit rate per dollars} = \frac{\frac{1}{3} }{4} = \frac{1}{12}[/tex] pound of turkey.

We have to find how much can you purchase for 10 dollars.

[tex]\text{Weight of turkey for 10 dollars} = \text{Unit rate per dollars} \times 10[/tex]

⇒[tex]\text{Weight of turkey for 10 dollars}=\frac{1}{12} \times 10 = \frac{5}{6}[/tex] pound

Therefore, [tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars

The length of a small rug in feet is 0.75.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Lyza has a 9-inch board.

She wants to measure the length of a small rug in feet.

For that,

divide the length by 12 inches.

Measure of the small rug,

= 9/12

= 0.75 feet.

Therefore, 0.75 feet is the small rug.

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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].

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.