You want to take a bus to go visit your friend in a different city. The distance between two cities is 200 kilometers and the bus drives 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city, which of the following equations represents the hours, h, the bus has travelled?

♥ The given parameters are:

x = -2, y = 3 and z = -1/5

The expression is given as xyz

To evaluate the expression when x = -2, y = 3 and z = -1/5, we substitute x = -2, y = 3 and z = -1/5 in expression xyz

This is represented as xyz = -2 * 3 * -1/5

Evaluate the product in the above expression

So, we have xyz = 6/5

Hence, the value of the expression when x = -2, y = 3 and z = -1/5  is 6/5  ♥

Answer:

1) 15000*(1+0.0189)^(5*12) = 46130.16346

2) 15000*(1+0.01975)^(5*3) = 20113.9316

3) 15000*(1+0.0199)^5 = 16553.0954

4) 15000*(1+0.0325*5) = 17437.5

The first one is the best option.

y = 3/4x + 5 equations best fits the data as a line of fit.

Given that,

With a point at - 5 comma negative 1, a point at - 2 comma negative 4, a point at 1 comma 9, a point at 3 comma 5, and a point at 4 comma negative 7, a scatter plot is created.

We have to find which of the following equations best fits the data as a line of fit.

We know,

A scatter plot is a particular kind of graph that is used to visually display the values of two variables, with the resulting points indicating any associations (correlations) between the data set.

We can rationally conclude that an equation for the line of best fit (trend line) is given by y = 0.80x + 4.63 by carefully examining the graph that represents the provided data.

We can conclude that y = 3/4x + 5 is the equation that best fits the data as a line of fit.

Therefore,  y = 3/4x + 5 equations best fits the data as a line of fit.

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We are asked to determine the equation of a line with a slope 1/3. The general form of a line equation is:

Where "m" is the slope and "b" the y-intercept.

Now, we substitute the value of the slope:

Now, to determine the value of "b" we will use the fact that the line passes through the point (x, y) = (

6, 8). Now, we plug in these values in the equation:

Solving the product on the right side we get:

Now, we subtract 2 from both sides:

Now, we substitute the value in the equation of the line:

And thus we get the equation of the line.

When he made $1000 for the week, his 15% commission is;

It is known that he too $450 home for the week, then;

His new flat rate salary is $450 - $150 = $300

We will find the vertex of the parabola as follows:

*Given a quadratic function of the form:

We will have that the vertex is given by:

So, for the function given we will have the following vertex:

So, the vertex for the function is given by the ordered pair (-4, 16).

We will have that the equation of the axis of symmetry is given by:

So, the axis of symmetry is x = -4.

We will determine the x-intercepts as follows:

So, we will have that the x-intercepts are located at x = -8 & x = 0.

From the previous point we can see that the point (0, 0) belongs to the parabola, thus the y-intercept is y = 0.

213.52  feet per minute is linear speed of the wheel in feet per minute of circumference of circle .

What is circumference?

The circumference of the wheel is 2*pi*radius = 2*3.14*26 = 37.7 inches.  

                          d= 28 inches

                          r = 28/2 = 17 inches

  1 rev = 2π radian

 2 rev = 2 * 2π  = 4π

      π = 3.14

angular speed= 4 * 3.14 = 12.56

speed  v = rw

            v = 17 * 12.56

           v = 213.52  feet per minute

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The two given algebraic expressions x²-1/2+8x-x²-6x and 2x²-2x are not equivalent as on simplification the first expression is linear but the second expression is quadratic.

the first expression is :

x²-1/2+8x-x²-6x

now we simplify by grouping all the like terms

or, x² - x² + 8x - 6x - 1/2

or, 2x - 1/2 (this is linear as the highest power of the variable x is 1)

Now the second expression is :

2x²-2x (this is quadratic as the highest power of the variable x is 2)

Hence these two expressions are not equivalent.

In mathematics, statements comprising variables, numbers, or both, and at least two terms connected by an operator are referred to as expressions.

Numerical expressions, which just contain numbers, and algebraic expressions, which also contain variables, are the two types of expressions used in mathematics.

A variable is a symbol having an unknowable value. One constant, one variable, or a combination of variables and constants multiplied or divided can all be used to create a term. A coefficient in an equation is a number that has been further multiplied by a variable.

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Explanation:

Using expontia

Step-by-step explanation:

I hope this is helpful for u

The value of w in the given equation is 57°

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

From the diagram the to lines intersect so the angle w and the angle 57 are facing each other, in geometry we say that vertical angles facing each other are equal.

Therefore, W = 57°( vertically opposite angles)

In conclusion the value of W in the diagram is 57°

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Minimum number of glasses needed by the restaurant be 15

What do you understand by inequality?

Inequalities define the relationship between two different values. Inequality   implies  not to be equal. The "not equal symbol is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine if they are less than or greater than. If an inequality has just one variable, it is said to be an open sentence.

It is given that the restaurant needs at least 510 glasses.

Currently there are 231 glasses.

Number of glasses each set contain = 18 glasses

x is the minimum number of sets of glasses Isabella should buy.

Number of glasses in x number of sets = 18x glasses

According to question:

231 + 18x ≥ 510

18x ≥ 510 - 231

18x ≥ 279

x ≥ 15.5

Minimum number of sets of glasses ,x = 15

Therefore, minimum number of glasses needed by the restaurant be 15

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Answer:

b

Step-by-step explanation:

The function f(x)=(x-7.2)(x+7) is already in its factored form

From the question, we have the following equation that can be used in our computation:

f(x) = (x - 7.2)(x + 7)

When an equation has the form of

f(x) = (x - a)(x - b).....(x -n),

Then, the equation is already in its factored form

This means that the equation can not be further simplified, as the current form is its factored form

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Answer:

[tex]c=\frac{t-10}{m}[/tex]

Step-by-step explanation:

[tex]t=10+cm[/tex]

Subtract 10 from both sides:

[tex]t-10=cm[/tex]

Divide both sides by [tex]m[/tex]:

[tex]\frac{t-10}{m}=c[/tex]

Placing [tex]c[/tex] on the left:

[tex]c=\frac{t-10}{m}[/tex]

For example, if the total charge is $27.50 and the distance ridden is 250 mi, we can calculate the additional cost per mile, as such:

[tex]c=\frac{27.50-10}{250}[/tex]

[tex]c=0.07[/tex]

The steps that can be used are:

2(x² + 6x) = 3

2(x² + 6x + 9) = 3 + 18

Options B and C is the correct answer.

The solution for the quadratic equation is

x = (-12 + 2√42) / 4

x = (-12 - 2√42) / 4

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

2x² + 12x - 3 = 0

This is in the form of ax² + bx + c = 0

Now,

a = 2

b = 12

c = -3

We can solve this using the determinant formula.

Where,

D = -b ± √(b² - 4ac) / 2a

D = -12 ± √(144 +24) / 4

D = -12 ± √168 / 4

D = -12 ± √(4 x 42)/4

D = -12 ± 2√42 / 4

So,

x = (-12 + 2√42) / 4

x = (-12 - 2√42) / 4

The solution for the quadratic equation is

x = (-12 + 2√42) / 4

x = (-12 - 2√42) / 4

The following options are given:

2(x² + 6x + 9) = –3 + 9

2x² + 12x + 18 = -3 + 9

2x² + 12x + 18 + 3 - 9 = 0

2x² + 12x + 12 = 0

This is not true.

2(x² + 6x) = 3

2x² + 12x - 3 = 0

This is true.

2(x² + 6x + 9) = 3 + 18

2x² + 12x + 18 = 3 + 18

2x² + 12x - 3 = 0

This is true.

x + 3 = ± 21/2

Not true.

2(x² + 6x) = –3

2x² + 12x + 3 = 0

This is not true.

Thus,

The steps that can be used are:

2(x² + 6x) = 3

2(x² + 6x + 9) = 3 + 18

Options B and C is the correct answer.

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Answer: The property being demonstrated for each expression is the commutative property of addition.

Step-by-step explanation:

Answer:

1.associative property, 2.commutative property, 3.identity property.

Step-by-step explanation: i got it right on edge

ANSWER

The closest measurement is 300cm³

EXPLANATION

The volume of a pyramid is:

where B is the ares of the base and h is the height.

In this problem, B = 64cm² and h = 14cm. The volume is:

The one that's closest is 300cm³

The required solutions are x = 15/8 and y = 1/2 which is determined by the elimination method.

Given the linear system of equations as

y = 2 - 4x +6  or

4x + y = 8 …(i)

y= - 5² + 20x - 12 or

20x - y = 37 …(ii)

Equations (i) and (ii) constitute a system of two first-degree equations in the two variables x and y.

So, we have to find out the value of 'x’ and 'y’.

Add equation (i) and equation (ii), we get

4x + y + 20x - y = 8 + 37

24x = 45

x = 45/24

x = 15/8

Substitute the value of 'x’ into equation (i) and we get

4(15/8) + y = 8

60/8 + y = 8

y = 8 - 15/2

y = 1/2

Hence, the required solutions are x = 15/8 and y = 1/2.

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Answer:

Expressions: Student 1 and 4

Equations: Student 2 and 3

Step-by-step explanation:

Equations have an = sign. Expressions do not.

a. The customer will earn $1440 as a interest after 20 years.

b. The account balance will be $5,940 after 20 years.

What is the simple interest?

Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied.

The formula of simple interest is I = Prt.

P = principal

r = rate of interest per year.

t = time.

Given that, a customer deposits  $4,500 for 20 years.

According to question, P = $4,500, r =1.6% = 0.016, t = 20 year

Putting the value of P, r, and t in I = Prt:

I =4,500 × 0.016 ×20

I =4,500 × 0.016 ×20

I = 1440

The interest is $ 1440.

The account balance will be $(1440 + 4,500) = $5,940.

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Answer:

35/1000

Step-by-step explanation:

the 5 is in the thousandths place therefore it is over 1000

Answer:

you would make it a 7 for the top and 200 for the bottom

Step-by-step explanation:

Regression Equation y is 379.9996 ⋅1.04^x . Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.

Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.

Linear regression is the most common type of regression analysis, in which the line that best fits the data according to a specific mathematical criterion is found. The ordinary least squares method, for example, computes the unique line that minimises the sum of squared differences between the true data and that line.

This allows the researcher to estimate the conditional expectation of the dependent variable when the independent variables take on a given set of values for specific mathematical reasons. Less common types of regression employ slightly different procedures to estimate alternative location parameters or the conditional expectation across a larger set of non-linear models.

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Given:

Number of plants she has = 17

She will put 2 plants in some rows and i plant in other rows.

Let's determine the number of ways in which she plant the tomato plants.

Maximum number of rows with 2 plants = 17/2 = 8.5

There will be a maximum of 8 rows with 2 plants

To determine, let's solve using a table.

We have:

Rows with 2 plants: 1 2 3 4 5 6 7 8

Rows with plants: 16 13 11 9 7 5 3 1

Total plants: 17 17 17 17 17 17 17 17

We can see the maximum number of rows possible is 8 rows.

Therefore, Ms. Hernandez can plant the tomaoto plants 8 ways.

ANSWER:

8 Ways

curve: Y=x^3

The equation of the tangent line is:

y =

By using linear equation, it is obtained that 218 minutes of phone call cost $100

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here linear equation is used

A long-distance telephone call from Center City to Smithville costs $3.25 for the first 3 minutes and $0.45 for each additional minute

Let the total time for the telephone call be t minutes

So total cost for t minutes telephone talk = $(3.25 + 0.45(t - 3))

By the problem,

3.25 + 0.45(t - 3) = 100

3.25 + 0.45 t - 1.35 = 100

1.9 + 0.45 t = 100

0.45 t = 100 - 1.9

0.45 t = 98.1

t = 218 minutes

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To graph the inequality:

We use the x and y-intercepts.

When x=0

We have the point: (0, 5.5)

When y=0

We have the point: (-1.83, 0)

We plot the points (0, 5.5) and (-1.83,0).

The points are joined using a broken line because of the inequality sign: >

The graph is shown below:

To determine which side is required, we use the origin test.

When x=0 and y=0

This means the side of the line containing (0,0) is where we need. (Shaded above)

Answer:

9

Step-by-step explanation:

Casey = 18

Casey = 2 x James

Because both values for Casey are equal to Casey, they are also the same value

This can then be written as

18 = 2 x James

isolate James by himself by dividing both sides by 2 to get how many footprints James found

18 / 2 = 9

James = 9

Answer:

F or Jayne’s finds 36 Footprints

Answer: 0=0

Step-by-step explanation: After simplifying the equation we get 0=0, and 0=0 has infinitely many solutions.

Answer:

it has many solutions :)

I need to find "S"

32 = s - 19

Add 19 in both sides

32 + 19 = s - 19 + 19

51 = s

Result

s = 51