What is the rule for the line

Answer:

w > 0

Step-by-step explanation:

-5 > -5 - 8w

+5   +5

--------------------

0 > -8w

/-8    /-8

--------------------

0 > w

w > 0

Answer:

w > 0 --> solution

Answer:

buddy

Step-by-step explanation:

ate 0.4 from a bag

hope this helps

Answer:

Buddy

Step-by-step explanation:

4/10 as a decimal is 0.4

Answer:

3.40906

Step-by-step explanation:

five is in the hundred-thousandth place, and the number after is is higher than 5 so the five goes up to a six, and you cut off everything after it

The number is 3.40906 after rounding to the nearest hundred-thousandth.

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

It is given that:

The number is 3.40905960575

As we know from the definition of rounding the number, rounding can be performed to reduce a large number to a smaller, more approachable figure which is very similar to the actual

Five climbs up to a six since it is in the 100,000th position and the number after it is higher than five, so you take off everything after it.

3.40906

Rounded to the nearest 0.00001 or

The Hundred Thousandths Place.

Thus, the number is 3.40906 after rounding to the nearest hundred-thousandth.

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Step-by-step explanation:

x = number of trucks with 16 tonnes capacity

y = number of trucks with 6 tonnes capacity

x + y = 11

16x + 6y = 126

the first equation gives us

x = -y + 11

and we use that in equation 2 :

16(-y + 11) + 6y = 126

-16y + 176 + 6y = 126

-10y = -50

10y = 50

y = 5

x = -y + 11 = -5 + 11 = 6

the number of 16 tonne trucks was 6.

The percentage of students scoring 84 or more in the exam is 99.18%.

Given, Mean test score = 72,

Standard deviation = 5.

We are supposed to find the percentage of students scoring 84 or more in the exam.

To find the percentage of students scoring 84 or more in the exam, we will use the following steps:

First, we need to find the z-score associated with 84.

Let us assume that z is the z-score corresponding to the value 84, then;

z = (84 - 72) / 5 = 2.4

Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.

The percentage is the area under the normal distribution curve to the right of the z-score.

To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.

Using the z-table, the value closest to 2.4 is 0.9918.

Therefore, the percentage of students scoring 84 or more in the exam is;

P(Z > 2.4) = 0.9918 × 100 = 99.18%.

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Answer:

B

Step-by-step explanation:

(To save time, I'm going to use x instead of θ)

So we have the expression:

\((\sin(x)-\cos(x))^2+(\sin(x)+\cos(x))^2\)

First, expand these binomials:

\(=(\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x))+(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))\)

Combine like terms:

\(=\sin^2(x)+\sin^2(x)+\cos^2(x)+\cos^2(x)-2\sin(x)\cos(x)+2\sin(x)\cos(x)\\=2\sin^2(x)+2\cos^2(x)\)

Factor out a 2:

\(=2(\sin^2(x)+\cos^2(x))\)

The expression inside the parentheses is the Pythagorean Identity:

\(\sin^2(x)+\cos^2(x)=1\)

Substitute:

\(=2(1)\\=2\)

The answer is B.

Answer:

here you go! :)

hope it helps!

Step-by-step explanation:

Answer:

x=-2

No, to solve an equation you must use inverse operation which is division

Step-by-step explanation:

16/8=2

-16/8=2

Answer:

The Rule for 2 : Any whole number that ends in 0, 2, 4, 6, or 8 will be divisible by 2. This is the number four hundred fifty-six thousand, seven hundred ninety-one, eight hundred twenty-four. We can tell if 2 divides into this number without a remainder by just looking at the last digit.

Step-by-step explanation:

Real value numbers are both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc are all real numbers.

The real number that consist of different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures.Any number that we can think except complex numbers is a real number.

Real numbers encompass three classifications of numbers.Whole numbers, rational numbers, and irrational numbers are all real numbers.Even counting and natural number are all real numbers.

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6x + 9(-5x-3) = 6x + 9*(-5x) + 9*(-3) = 6x -45x - 27 = -39x - 27

Hope that helps!

I think the question should be as follow:

➙ 6x + 9 - ( 5x - 3 )

➙ 6x + 9 - 5 x + 3

➙ 6x - 5x + 9 + 3

➙ x + 12

➙ x = -12

Anyways I've also solved according to the provided question:

‎ㅤ‎ㅤ‎ㅤ➙ 6x + 9 (-5x - 3 )

‎ㅤ‎ㅤ‎ㅤ➙ 6x - 45x - 27

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x - 27

Further, we can solve for x ;

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x - 27 = 0

‎ㅤ‎ㅤ‎ㅤ➙ - 39 x = 0 + 27

‎ㅤ‎ㅤ‎ㅤ➙ x = - 27 / 39

➲ More information:

Terms that have same identical variables, and same exponents parts are called like terms. To simplify these terms, you use addition and subtraction by combining the ' like terms '

Answer: y=7-2x

Step-by-step explanation:

Subtract 2x from both sides.

Answer:

24GB

Step-by-step explanation:

75.99-59.99=16   This is how much extra money was paid.

16/4=4                   Divide this by the cost per GB.

20+4=24GB          Add the 20GB included in the plan.

Answer:

Step-by-step explanation:

75.99-59.99=16

$16 worth of GB used for that month

which means 16/4=4 GB extra were used that month beyond the 20 GB

so total GB usage for that month is 24 GB

Answer:

For the first one it would be A. x = -3, 4 because they where f(x) and g(x) intersect.

Step-by-step explanation:

For the second one it would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Answer:

I believe it is A

Step-by-step explanation:

by using log notation, the value of x =㏒₃500 or x = 5.657

Log notation is a mathematical expression used to represent any exponential relationship in its inverse form.

we use log notation to solve an equation in where an unknown variable is in index form. By applying logarithm laws, we write an exponential equation in the inverse form and finally we get the unknown values.

in the above equation 3ˣ = 500

using log notation, we get ㏒₃500 = x

                                    x= 5.657

hence, the solution is x = 5.657

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Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

Answer:

2

Step-by-step explanation:

Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. Thus, to fill the fish tank completely with water, Jeffrey needs 7000 milliliters of water.

This is because 1 liter is equal to 1000 milliliters. Thus, 8 liters are equal to 8 × 1000 = 8000 milliliters.

Therefore, the amount of water Jeffrey needs to completely fill the fish tank is 8000 - 1000 = 7000 milliliters of water.

Jeffrey has a fish tank of 8 liters of water that already has 1 liter of water in it.

The amount of water Jeffrey needs to completely fill the fish tank is calculated by subtracting the liters of water already present in the tank from the total liters of water the tank can hold.To completely fill the fish tank, Jeffrey needs to fill the remaining 7 liters with water. One liter of water is equivalent to 1000 milliliters. Thus, Jeffrey needs to multiply the remaining liters of water he needs to fill by 1000 milliliters.

7 × 1000 = 7000

Therefore, Jeffrey needs 7000 milliliters of water to completely fill the fish tank with water.

To completely fill the fish tank, Jeffrey needs 7000 milliliters of water because he has already filled it with 1 liter of water, and the fish tank can hold 8 liters of water.

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All of the above :D

Sure hope this is helpful for you

The total mass of the paperclips in the box is 6. 144 × 10^1 mg. Option C

1 mass of a paperclip = 8.0 × 10−4 mg

But there are 7.68 × 104 paperclips = x mg

cross multiply

x = 7.68 × 104 × 8.0 × 10−4 mg

Multiply through

x = 61. 44 × 10^ 4 -4

x = 61. 44 × 1

x = 6. 144 × 10^1 mg

Thus, the total mass of the paperclips in the box is 6. 144 × 10^1 mg. Option C

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At the end of the year, the expression that shows the total number of students is \(22+s\)

An expression is a mathematical phrase that can contain numbers, variables, and operators. It doesn't contain an equal sign (=) or a value.

Mrs. Jeffers started the school year with 22 students. During the school year, another s student joined her class.

The expression that shows the number of students at the end of the year is.\(22+s\)

The symbol "+" is an operator that stands for addition, and "s" is a variable that represents the number of students who joined the class.

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The equation shows the relationship between variables and other quantities in a situation, by equating the constants of the situation.

What is an equation of variable?

The equation's unknown component is the variable. Variables alter when quantities change in any circumstance. It stands for an unidentified quantity, value, or number.

Equation properties include:

Consider a situation where a taxi driver charges a fee based on the distance of a taxi ride. This is presented as the equation,

y = 8x + 15

where variable(y) indicates the charge of the taxi and variable (x) represents the number of rides the taxi travelled.

And, the constant term 15 is the fixed amount which is charged by the taxi driver and 8 represents the rate by which the charge increases with respect to y.

Hence, the above-given equation shows the relationship between variables and other quantities in a situation.

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The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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Answer:

B. A. D.

Step-by-step explanation:

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)