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Can you please answer these questions?

A gallon equals 4 quarts, 8 pints, or 128 fluid ounces.

Say a farmer in the US measures his cows' milk production by the ounce but sells it by the gallon. If the farmer collected 19,200 ounces of milk in a week, how many gallons of milk will he be able to sell?

The most important thing to remember about changing ounces to gallons is that there are 128 fluid ounces in every gallon.

Another way to think of it is for every gallon, you have 128 ounces. Let's use x to represent the number of ounces and y to represent the number of gallons.

x ounces / 128 = y gallons

Notice that this formula divides the number of ounces into groups of 128 to determine the number of gallons.

Remember the formula for finding how many fluid ounces are in a gallon:

x ounces / 128 = y gallons

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Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Answer:

36x²

Step-by-step explanation:

We multiply the 2 together:

12 · 3 = 36

x · x = x²

36x²

Answer:

36x²

Step-by-step explanation:

= 12x . 3x

= ( 12 . 3 ) ( x . x )

= ( 36 ) ( x² )

= 36x²

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The quadratic function in standard form whose graph passes through the points (1, 0), (-1,0), and (0, -1) is given as follows:

y = x² - 1.

The standard form definition of a quadratic function is given as follows:

y = ax² + bx + c.

The graph passes through the points (1,0) and (-1,0), hence the roots of the quadratic function are given as follows:

According to the Factor Theorem, the function can be written as a product of it's linear factors as follows:

y = a(x + 1)(x - 1)

y = a(x² - 1).

When x = 0, y = -1, hence the leading coefficient a is given as follows:

-a = -1

a = 1.

Hence the function is:

y = x² - 1.

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Therefore, the time spent traveling at 60mph is 1.5 hours, and the time spent traveling at 80mph is 2(1.5) = 3 hours.

Time spent traveling at 60mph = 1.5 hours

Time spent traveling at 80mph = 3 hours

To calculate the distance between two locations, use the distance formula, a Pythagorean theorem application. The Pythagorean Theorem can be rewritten as d=((x 2-x 1)2+(y 2-y 1)2) to get the distance between any two points.

Let's denote the time spent traveling at 60mph as "t", then the time spent traveling at 80mph is "2t" because the second part of the trip is twice as long as the first part.

We can use the formula:

distance = speed x time

To calculate the distance traveled in each part of the trip, then we can set up the following equations:

distance traveled at 60mph = 60t

distance traveled at 80mph = 80(2t) = 160t

The total distance traveled is given as 330 miles, so we can set up the equation:

60t + 160t = 330

220t = 330

t = 1.5 hours

Therefore, the time spent traveling at 60mph is 1.5 hours, and the time spent traveling at 80mph is 2(1.5) = 3 hours.

Time spent traveling at 60mph = 1.5 hours

Time spent traveling at 80mph = 3 hours

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Answer:

C

Step-by-step explanation:

The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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Answer:

14 feet

Step-by-step explanation:

We solve the above question by using the Greatest Common Factor method

We find the factors of 56 and 98

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.

Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The z-value is -2.26. Therefore, the correct option is (C).

Given that z is a standard normal random variable, the value of z if the area to the left of z is 0.0119 is -2.26. So, the correct answer is (C).

The area to the right of z is (1-0.0119) = 0.9881.

Using a standard normal distribution table or calculator, find the z value for an area of 0.9881.

We get z=2.26.

Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.

The area to the left of z is 0.0119. The area to the right of z is (1-0.0119) = 0.9881.

Using a standard normal distribution table or calculator, find the z value for an area of 0.9881. We get z=2.26.

Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.

Therefore, the z-value is -2.26. Therefore, the correct is (C).

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Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

X will be your answer be 126 and 110

Step-by-step explanation:

6x3x7=126

y=11x2x5=110

so X>Y

hope it helps!

x=7

I'm sorry if I'm wrong

To determine whether (x + 3) is a factor of the polynomial x^3 - x^2 - 12x, we can use polynomial division.

Step 1: Write the divisor, (x + 3), on the left side of a long division symbol and the dividend, x^3 - x^2 - 12x, on the right side.

x + 3 | x^3 - x^2 - 12x

Step 2: Divide the first term of the dividend, x^3, by the first term of the divisor, x, and write the result, x^2, on top of the division symbol. Multiply the divisor by this quotient, and write the result under the dividend.

lua

       x^2 - 4x

  ___________________

x + 3 | x^3 - x^2 - 12x

      - (x^3 + 3x^2)

        ----------

         -4x^2

Step 3: Bring down the next term of the dividend, -12x, and write it next to the remainder, -4x^2.

lua

Copy code

       x^2 - 4x

  ___________________

x + 3 | x^3 - x^2 - 12x

      - (x^3 + 3x^2)

        ----------

         -4x^2 - 12x

Step 4: Divide the first term of the new dividend, -4x^2, by the first term of the divisor, x, and write the result, -4x, on top of the division symbol. Multiply the divisor by this quotient, and write the result under the previous subtraction.

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Answer: -7 , -11

Step-by-step explanation:

lets say that x = width of the rectangle
and x+3= length of the rectangle

34= 2x + 2(x+3)
34=2x+2x+6
34=4x+6
34-6=4x
4x=28
x=7

So,
width= 7m
length= 7+3 = 10

Area= width * length = 7*10 = 70\(m^{2}\)

The inequality that represents the graph is y ≥ (-2/3)x + 3.

Option A is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

If we graph this inequality y ≥ (-2/3)x + 3 we get the given graph.

Now,

y ≥ (-2/3)x + 3

This means,

The inequality is on the positive y-axis.

Thus,

The inequality that represents the graph is y ≥ (-2/3)x + 3 .

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We know that the given expression 6x - x - 4 is (2) this is not equivalent to 7x − 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

So, the given expressions are:

7x - 4 and 6x - 4 - x

Now,

7x - 4 and 6x - x - 4

7x - 4 and 5x- 4

Then, we can easily say that the given expressions are not equivalent.

Therefore, we know that the given expression 6x - x - 4 is (2) this is not equivalent to 7x − 4.

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Complete questions:
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent. Sample Response: 6x − x = 5x.

1. The new expression is now 5x − 4.

2. This is not equivalent to 7x − 4.

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Step-by-step explanation:

In 8 gallons of gas the car can go = 400 miles

In 1 gallon of gas the car can go = 400/8

In 1 gallon of gas the car can go = 50 miles

How far can the car take you with 1 gallon of gas?​ With 1 gallon of gas, the car can go 50 miles.

Step by Step calculations:

We know that

With 8 gallons of gas, the car can go 400 miles

Then,

With 1 gallon of gas, the car can go

= 400 / 8

= 50 miles

Therefore, with 1 gallon of gas, the car can go 50 miles.

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Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

The measure of the line segment AB is  36cm .

In the question ,

it is given that ,

The triangle ABC is a isosceles triangle ,

that means side AB = side BC ,

and the length of base AC = 24 cm .

given the perimeter of the triangle is 96 cm .

So ,

AB + BC + AC = 96

AB + AB + AC = 96       .....because AB = BC

2AB + AC = 96

Substituting the value of AC = 24 cm

2AB + 24 = 96

Subtracting 24 from both the sides , we get

2AB = 96 - 24

2AB = 72

Dividing both sides by 2 ,

we get ,

AB = 72/2 = 36 .

Therefore , The measure of the line segment AB is  36cm .

The given question is incomplete , the complete question is

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimeters.

What is the measure of Line segment AB ?

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Answer:$$4444

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

(-1 , 6)  ; (-1 , -5)

There is no change in x-coordinate values.

So, the is parallel to y-axis

x = -1

The measure of each angle is 34.1° and 55.9°

complementary angles are angles that gives 90° when added to together.

if the first angle is x and the other complementary angle is y,

then x+y=90

x= y-21.8

representing y-21.8 for x in equation x+y=90

y+ y-21.8= 90°

2y= 111.8

y= 55.9°

and x= 34.1°

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The inequality 4/3|1/4x+3|<4 are Ox>-13 and x < -11 or Ox<-24 and x > 0

We can begin by isolating the absolute value on one side of the inequality:

4/3|1/4x+3|<4

|1/4x+3|<3/2

We can then split this inequality into two cases, one for when 1/4x+3 is positive and one for when it is negative:

1/4x+3>0: 1/4x+3>3/2, so multiplying both sides by 4, we get x>-13 and x<-11

1/4x+3<0: 1/4x+3<-3/2, so multiplying both sides by -4, we get x<-24 and x>0

So, the solution is: Ox>-13 and x < -11 or Ox<-24 and x > 0

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Answer:

Nearest $1: $34

Nearest $5: $35

Nearest $10: $30

Answer:

rounded to the nearest one is $40

Step-by-step explanation:

Answer:

y = 1/2x -1

The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.

The y intercept is -1