(2h-4)11 (use the distributive property to simlify each expression)

original point is (7,13)

 with translation (4,-8)

 add 4 to 7 = 11

subtract 8 from 13 = 5

 new point = (11,5)

There are 1,105 boys attending Mandy's school.

To calculate the number of boys in Mandy's school, we use the provided ratio of 17:20, which corresponds to the number of boys and girls respectively.

With 20 parts equal to the 1,300 girls enrolled, one part equals 65 girls, and thus there are 17 parts representing boys. Multiplying 17 by 65 gives us 1,105 boys attending the school.

To apply this ratio, we'll perform the following steps:

we have

[tex]y=16x^{2} +1[/tex]

Step 1

exchange variables x for y and y for x

[tex]x=16y^{2} +1[/tex]

Step 2

Isolate the variable y

Subtract [tex]1[/tex] both sides

[tex]x-1=16y^{2}+1-1[/tex]

[tex]16y^{2}=x-1[/tex]

Divide by [tex]16[/tex] both sides

[tex]16y^{2}/16=(x-1)/16[/tex]

[tex]y^{2}=\frac{x-1}{16}[/tex]

Square root both sides

[tex]y=(+/-)\sqrt{\frac{x-1}{16}}[/tex]

[tex]y=(+/-)\frac{\sqrt{x-1}}{4}[/tex]

Step 3

Let

[tex]f(x)^{-1}=y[/tex]

[tex]f(x)^{-1}=(+/-)\frac{\sqrt{x-1}}{4}[/tex]

therefore

the answer is

The inverse is equal to

[tex]f(x)^{-1}=(+/-)\frac{\sqrt{x-1}}{4}[/tex]

The inverse of the function is y = \sqrt{x+1/16}

Given the expression

y = 16x² + 1

We see to find the inverse of the function

Replace y with x to have;

x = 16y² - 1

Make y the subject of the formula

16y² = x + 1

Divide both sides by 16

16y²/16 = x+1/16

y² = x+1/16

Take the square root of both sides

y = \sqrt{x+1/16}

Hence the inverse of the function is y = \sqrt{x+1/16}

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The subsets of the set {7,8,9} are explained below:

Given that,

Based on the above information, the subsets are as follows:

{} = empty set

{7,8,9}

{7}

{8}

{9}

{7,9}

{7,10}

{8,9}

Therefore the above are the subsets.

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Answer:

The number 19 is the prime number.

Step-by-step explanation:

Consider the provided number.

Prime number: A prime number is a whole number which is greater than 1 and the factors of the number are 1 and itself.

The prime factorization of the provided numbers are:

19 = 1×19

28 = 2×2×7

49 = 7×7

63 =7×9

Here 19 is the only number having factors 1 and 19 which is itself.

Hence, the number 19 is the prime number.

Answer:

It’s easier to find the solution to a variable when that variable is by itself on one side of the equal sign. Rearranging formulas before substituting values for each variable makes calculations more straightforward. With this approach, we only need to perform operations such as multiplication, division, addition, and subtraction on one side of the equal sign, and we simplify instead of solving by using the properties of equality.

Step-by-step explanation:

Conversion of 1500 mL to liters is 1.5 liters.

To convert 1500 mL to liters, follow the strategy for conversions. You are starting from mL, which is a smaller unit, and want to find out how many liters this is equivalent to, with liters being the larger unit.

Firstly, we know that 1 liter is equivalent to 1000 milliliters. Since we are converting from a smaller unit to a larger unit, you will need to divide the number of mL by 1000. Therefore:

1500 mL / 1000 = 1.5 liters.

You will need to move the decimal point 3 places to the left because there are 3 zeros in 1000. So, the final step to convert 1500 ml to liters is to simply divide 1500 by 1000, which gives us 1.5 liters.

Answer:0.9

Step-by-step explanation:

test

There are 20 twentieths in five halves. This conversion is achieved by first converting halves to tenths (5 halves = 10 tenths) and then further converting tenths to twentieths by doubling the numerator, resulting in 20 twentieths in total.

To determine how many twentieths are in five halves, we need to convert both fractions to a common denominator. Since twentieths have a denominator of 20 and halves have a denominator of 2, we can make them compatible by expressing halves as tenths (which have a denominator of 10) and then further converting them to twentieths.

First, we can rewrite five halves as ten tenths (5/2 = 10/10). Now, we need to express tenths as twentieths, which is done by doubling the numerator. So, 10 tenths are equivalent to 20 twentieths.

Therefore, there are 20 twentieths in five halves.

In summary, when converting from halves to twentieths, we first turn halves into tenths by multiplying by 10, and then we further convert tenths to twentieths by doubling the numerator. Thus, five halves equal 20 twentieths.]

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The correct mathematical expression for the elevator's movement of up 4, down 4, up 8, and down 2 floors is option c: (+4) + (-4) + (+8) + (-2).

The correct expression that matches the scenario where an elevator went up 4 floors, down 4 floors, up 8 floors, and then down 2 floors is (+4) + (-4) + (+8) + (-2). Let's break it down step by step:

By combining these, the expression becomes c= (+4) + (-4) + (+8) + (-2). This expression correctly reflects the elevator's movements up and down the floors.