Initially there were 2 liters of blue paint and 8 liters of crimson paint. a paint job uses 20% of the blue and 80% of the crimson paint. (a) what percentage of the total combined amount of paint is used during the job?

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.

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:

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.

To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.

The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:

Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).

Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.

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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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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:0.9

Step-by-step explanation:

test

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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P(A and B) means add A and B

 if both A and B are both greater then 1/2

 then when they are added they will always be greater than 1

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.

In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.

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: