Given f(x) = 2x2 − 3x + 7, find f(2.5)

Answer:

Step-by-step explanation: You start by subtracting the original price from the new price.

Which is $42 from $33.60

$42-$33.60=$8.40

So $8.40 is your discount rate.

Answer:

x = -9

Step-by-step explanation:

To solve for x in this equation, we first need to simplify the right-hand side by distributing the 3:

189 = -6x + (-21x - 54)

Next, we can combine like terms on the right-hand side:

189 = -27x - 54

Adding 54 to both sides:

243 = -27x

Dividing both sides by -27:

x = -9

Therefore, the solution to the equation 189=-6x+3(-7x-18) is x = -9.

Answer:

To solve for x in the equation 189=-6x+3(-7x-18), we can use the following steps:

Distribute the 3 to the terms inside the parentheses:

189 = -6x + (-21x - 54)

Combine like terms on the right side of the equation:

189 = -27x - 54

Add 54 to both sides of the equation:

189 + 54 = -27x

Simplify the left side of the equation:

243 = -27x

Divide both sides by -27:

x = -9

Therefore, x is equal to -9.

Hope This Helps!

Step-by-step explanation:

Right cylinder

Solve for surface area

A≈251.33m²

r Radius

4

m

h Height

6

m

Solution

A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741m²

Answer:

I think 251.33m² is your answer

Step-by-step explanation:

False.

The slope of a line is given by the formula:

m = (change in y) / (change in x)

where "change in y" represents the vertical change and "change in x" represents the horizontal change between two points on the line.

Answer:

Estimate: $5,000.00

Actual: $6,063.72

Step-by-step explanation:

I would estimate by finding 20 x 250

I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.

Helping in the name of Jesus.

Hexagon - concave, Quadrilateral - Convex, Decagon - concave, Dodecagon - concave.

What is polygon?

A polygon is a 2-dimensional closed shape made up of straight line segments. It is a flat shape with three or more straight sides and angles.

A polygon is a closed plane figure with straight sides, defined by three or more line segments that meet at points called vertices. The sides of a polygon do not cross each other, and the angles between adjacent sides are called interior angles.

The classification of polygons is based on the number of sides they have. For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and so on.

Polygons can also be classified as either convex or concave. A convex polygon has all its interior angles less than 180 degrees, meaning that all its corners point outwards. In contrast, a concave polygon has one or more interior angles greater than 180 degrees, which means that at least one of its corners points inwards.

The classification of a polygon by its number of sides and whether it is convex or concave can help us to identify and describe its properties and characteristics.

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Answer:

2 cups of flour

Step-by-step explanation:

We want to find the total amount of flour, which means we need to add.

3/4 + 2/4 + 3/4 =

8/4

We can simplify this term.

8/4 =2

2 cups of flour

Answer:

2 cups of flour

Step-by-step explanation:

A bread recipe has,

3/4 cup of rye flour

2/4 cup of wheat flour

3/4 cup of white flour

So, to find the total amount of flour, add all the given fractions together.

[tex]\sf Total\: amount\: of\: flour = rye \:flour + wheat\: flour + white \:flour\\\\\sf Total\: amount\: of\: flour =\frac{3}{4} +\frac{2}{4} +\frac{3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{3+2+3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{8}{4} \\\\\sf Total\: amount\: of\: flour =2 \:cups[/tex]

Step-by-step explanation:

do brackets first (0.9w+6w-0.7) = 6.9w-0.7

-8+6.9w-0.7-0.3w

-8-0.7=-8.7

6.9w-0.3w=6.6w

=6.6w-8.7 I think

It is a false statement that for a negatively skewed distribution, the mean is the smallest of the three measures of central tendency because it is being pulled down by the small observations or possible outliers.

For a negatively skewed distribution, the mean is typically pulled towards the tail of the distribution with smaller values, but this does not necessarily mean that it is always the smallest of the three measures of central tendency.

The mode is the measure of central tendency that occurs most frequently in a dataset, and it may be smaller or larger than the mean depending on the shape of the distribution. The median is the middle value in a dataset, and it may also be smaller or larger than the mean depending on the shape of the distribution.

Therefore, the statement "For a negatively skewed distribution, the mean is the smallest of the three measures of central tendency" is not always true.

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Answer:

Its d ik becuse im smart and i lernt this in like 2nd grade

Answer: 1/24

Step-by-step explanation:

Multiply the denominator with 6 to divide it into 6 equal parts

= 1/(4•6)

= 1/24

[tex]y=-ln(-\frac{x^2}{2}-2x+1)[/tex]

see images for steps.

ask for explanation.

hope this helps,

jeron

:)

takeaways:

remember that y' is dy/dx

separable differentiation  (when you get the side with y with its dy and the side with x with its dx... only possible when multiplying or dividing NO ADDITION OR SUBTRACTION)


key terms:

separable differentiation  (when you get the side with y with its dy and the side with x with its dx... only possible when multiplying or dividing NO ADDITION OR SUBTRACTION)
initial condition   (a point on the graph of y)
general solution (involves the +c)
particular solution (you used initial condition to find the c)

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into.

b) f(5) can be computed -1.5

c) In f(x) = -7/2, x = -3.

A type of function that is defined by multiple sub-functions, each of which is applied to a specific interval or domain of the main function. It is made up of individual pieces, each of which is defined by an equation with a specific domain.

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into. Since -2 is greater than -6 and less than 0, the first part of the piecewise function applies. Thus, f(-2) can be computed as follows:

f(-2) = 1/2(-2) - 2

= -3

b) To find f(5), first determine which part of the piecewise function the x-value of 5 falls into. Since 5 is greater than 0 and less than or equal to 8, the second part of the piecewise function applies. Thus, f(5) can be computed as follows:

f(5) = 1/2(5) - 4

= -1.5

c) To find x when f(x) = -7/2, first determine which part of the piecewise function applies. Since -7/2 is less than 0, the first part of the piecewise function applies. Thus, x can be computed as follows:

-7/2 = 1/2x - 2

x = -4+7

= -3

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Answer:

y = -x

Step-by-step explanation:

We can use two points on the line to write the equation.

Using ( 0,0) and (2,-2), we can find the slope.

m = ( y2-y1)/(x2-x1)

    = ( -2-0)/(2-0)

    = -2/2

    = -1

The y intercept is 0.

y = mx+b where m is the slope and b is the y intercept.

y = -x+0

y = -x

Answer:

Step-by-step explanation:

just listen to your teacher and you will be good at subjects

Therefore , the solution of the given problem of equation comes out to be  (7, 8) and (-4, 6).(x - 7).

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could analyze data provided by y + 7, split 12 into two parts, and create y + 7.

Here,

We must first determine the line's inclination. The slope calculation, which is as follows:

=>  m = (y2 - y1) / (x2 - x1)

where the coordinates for the two locations are (x1, y1) and (x2, y2).

We have the following using the locations (7, 8) and (-4, 6):

=>  m = (6 - 8) / (-4 - 7) = -2 / (-11) = 2/11

=>  y - y1 = m(x - x1)

Let's pick point (7, 8) on the line as our starting place. Next, by replacing m with 2/11 and (x1, y1) with (7, 8), we obtain:

=>  y - 8 = (2/11)(x - 7)

=>  y - 8 = (2/11)x - (14/11)

=> y = (2/11)x + (74/11)

Thus, y - 8 = (2/11) is the equation of the point-slope line passing through the locations (7, 8) and (-4, 6).(x - 7).

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Negative x- coordinates, Negative y- coordinates. So correct option is D.

In geometry, a coordinate plane is divided into four parts by two perpendicular number lines called the x-axis and y-axis. Each of these four parts is called a quadrant. Quadrants are numbered in a counterclockwise direction, starting from the upper right quadrant, which is known as the first quadrant, and continuing through the other three quadrants in order. Each quadrant is defined by a positive and negative value for both the x and y coordinates. The first quadrant, for example, has both positive x and y coordinates. The second quadrant has negative x coordinates and positive y coordinates. The third quadrant has both negative x and y coordinates, while the fourth quadrant has positive x coordinates and negative y coordinates.

Quadrants are commonly used to locate points on a coordinate plane. For example, if a point has a positive x-coordinate and a positive y-coordinate, it would be located in the first quadrant. Conversely, if a point has a negative x-coordinate and a negative y-coordinate, it would be located in the third quadrant.

Quadrants are also used to describe the signs of trigonometric functions. In the first quadrant, all trigonometric functions are positive, while in the second quadrant, only the sine function is positive. In the third quadrant, only the tangent function is positive, and in the fourth quadrant, only the cosine function is positive.

In the mentioned quadrant both x and y coordinates are negative.

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The complete question is:

Using trigonometric ratio and each angle of elevation, the height of the trees are 19 yards and 15 yards

In the given figure, the angle of elevation from the given point are of equal distance between both trees.

distance = 55

distance from one point of the tree = 55/2 = 27.5

using trigonometric ratio;

tan 34 = x / 27.5

x = 27.5 * tan 34

x = 18.5

x≅19 yards

taking the second tree;

tan29 = y / 27.5

y = 27.5 * tan 29

y = 15 yards

the height of the trees are 19 yards and 15 yards

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The expression √t+14 will be equal to 6.

What exactly are expressions?

In computer programming, an expression is a combination of one or more constants, variables, operators, and functions that are interpreted and evaluated by the computer to produce a value.

Expressions can be simple, such as a single variable or constant, or they can be more complex, involving multiple operators and functions.

For example, in the expression "2 + 3 * 4", the operators "+" and "*" are used to perform arithmetic operations, and the constants "2", "3", and "4" are operands that are used in those operations.

Now,

If t=22, then

√t+14 = √(22+14) = √36 = 6

Therefore,

      the value of expression √t+14 is  6.

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Answer:

Step-by-step explanation:

midpoint [tex]=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

               [tex]=(\frac{3+7}{2} ,\frac{1+5}{2})[/tex]

               [tex]=(5,3)[/tex]

slope [tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

          [tex]=\frac{5-1}{7-3}[/tex]

          [tex]=\frac{4}{4}[/tex]

         [tex]=1[/tex]

distance [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

               [tex]=\sqrt{(7-3)^2+(5-1)^2}[/tex]

               [tex]=\sqrt{4^2+4^2}[/tex]

                [tex]=\sqrt{16+16}[/tex]

               [tex]=\sqrt{32}[/tex]

              [tex]=\sqrt{16\times2}[/tex]

               [tex]=4\sqrt{2}[/tex]

Line equation:

            [tex]y-y_1=m(x-x_1)[/tex]      (this is the point- gradient form)

              [tex]y-1=1(x-3)[/tex]         (m=1 is slope, and I used point (3,1) for [tex](x_1,y_1)[/tex] )

              [tex]y-1=x-3[/tex]

                    [tex]y=x-2[/tex]      

The equation obtained without the absolute value for given function

y = |x-3| + |x +2|-|x - 5| is y = 2.

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.

The given equation:

y = |x-3| + |x +2|-|x - 5|

For x = 3

y = |3-3| + |3+2|-|3 - 5|

y = 0 + |5| - |-3|

Without absolute values:

y = 5 - 3

y = 2

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To fill two jars, we need eight cups, as one jar requires four cups, and we are filling up two jars.

If a cup holds 1/4 of a jar, then it would take 4 cups to fill one jar.

To fill two jars, we need to multiply the number of cups required to fill one jar by 2:

4 cups x 2 = 8 cups

Therefore, we need 8 cups to fill two jars.

To understand this concept visually, imagine a jar divided into four equal parts, and each part representing a cup. When you fill up one part or cup, you have filled up 1/4 of the jar. Similarly, when you fill up all four cups, you have filled up one full jar. Therefore, it would take four cups to fill up one jar.

If we want to fill two jars, we would need to repeat the process of filling up four cups for each jar, which would give us a total of eight cups for two jars.

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Therefore , the solution of the given problem of probability comes out to be there is a 0.66 percent chance that an arbitrarily chosen student will be either male or left-handed.

Each of the procedure's criteria-based methods have as their main objective determining the likelihood that a statement is accurate or that an event will take place. Any number from zero to one, where 0 typically represents percentage and 1 typically reflects degree of certainty, can be used to symbolize chance. A probability illustration shows the likelihood that a particular occurrence will occur.

Here,

A student's likelihood of being masculine is 0.6, and their likelihood of being left-handed is 0.1. It is stated that there is a 0.04 percent chance that a pupil is both male and left-handed.

Using the formula for the probability of the union of two events, we can determine the likelihood that an arbitrarily chosen student is either male or left-handed:

=> P(left-handed or male) = P(male) - P(left-handed)(male and left-handed)

Inputting the numbers provided yields:

=> Male or left-handed P(male) = 0.6 + 0.1 - 0.04 P(male) = 0.66

Therefore, there is a 0.66 percent chance that an arbitrarily chosen student will be either male or left-handed.

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1) The statement is true

2) The statement is true

3) No because names have equal probability of being picked

4) This is an unbiased sample

Sampling bias is a type of bias that occurs when a sample selected for a study or survey is not representative of the population being studied. This can lead to results that are not accurate or generalizable to the population as a whole.

Sampling bias can arise from various factors, such as the method used to select the sample, the size of the sample, and the characteristics of the individuals who participate in the study or survey.

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Answer: C. 21

Step-by-step explanation:

= 105/5

= 21

Answer:

c

Step-by-step explanation:

105/5

=21

so the answer is 21

For the interest is compounded daily, the interest rate required for for Riley to make the amount $102,000 is 32.85%.

Compound interest is computed as interest on the whole of the initial investment or loan amount plus any prior interest. Compound interest grows a sum more quickly than simple interest because it creates "interest on interest".

Compounding builds interest on a loan's outstanding principle as well as any interest that was accrued but not paid during the preceding compounding period. Compound interest can cause loan levels to increase, which can occasionally put debtors in danger.

The formula for the daily compounding:

A = P [tex](1 + r/n)^{nt}[/tex]

A is the amount after compounding =  $102,000

P is the principal =  $74,000

t is the time = 10 years.

r is the rate of interest

n is the number of time compounded = 365 days.

Put the values:

102,000 = 74,000 [tex](1 + r/365)^{365*10}[/tex]

102,000/74,000 =  [tex](1 + r/365)^{3650}[/tex]

1.37 = [tex](1 + r/365)^{3650}[/tex]

[tex]1.37^{1/3650}[/tex] = [tex](1 + r/365)[/tex]

1.00009 =  [tex](1 + r/365)[/tex]

1.00009 - 1.0 = r/365

0.0009 = r/365

r = 0.0009*365

r = 0.3285

r = 32.85%

Thus, for the interest is compounded daily, the interest rate required for for Riley to make the amount $102,000 is 32.85%.

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Answer:

d ≈ 546 m

Step-by-step explanation:

using the sine ratio in the right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{313}{d}[/tex] ( multiply both sides by d )

d × sin35° = 313 ( divide both sides by sin35° )

d = [tex]\frac{313}{sin35}[/tex] ≈ 546 m ( to the nearest whole number )

Overall price equals direct and indirect costs, or $375 plus $397.96, or $772.96.

What is direct cost?

Direct costs are business expenses you can directly apply to producing a specific cost object, like a good or service. Cost objects are items that expenses are assigned to. Direct costs can be variable or fixed. Variable costs are expenses that change based on how many items you produce or how many services you offer. For example, you would spend more money producing 200 toys as opposed to 100 toys. Fixed costs are expenses that remain the same each month.

What is indirect cost?

Indirect costs are expenses that apply to more than one business activity. Unlike direct costs, you cannot assign indirect expenses to specific cost objects.

Like direct costs, indirect expenses can be either fixed (e.g., rent) or variable (e.g., utilities).

You can allocate indirect costs to determine how much you are spending on expenses compared to your sales. To do this, find the overhead rate, or indirect cost ratio.

Here is the overhead rate formula:

Overhead Rate = Overhead Costs / Sales

given

Costs :Chicago-San Francisco pilot compensation: Direct cost

Straight cost of fuel for a flight from Chicago to San Francisco

Chicago-New York pilot compensation: Direct cost

Gasoline costs for a travel from Chicago to New York: Straight price

aircraft price: indirect expense (as it is a capital expenditure)

Total expense for each journey:

Indirect costs for the Chicago-San Francisco journey are as follows: ($4,940,000 / 24,700,000 miles) x 4,900 miles = $986.99 Direct costs for the trip are as follows: $300 (pilot payment) + $250 (fuel cost) = $550Final price = Direct price + Indirect price, or $550 + $986.99, is $1,536.99.

For the Chicago-New York flight, the direct cost is $250 for the pilot and $125 for fuel, for a total of $375.

The indirect cost is $4,940,000 divided by 24,700,000 miles, or $397.96.

Overall price equals direct and indirect costs, or $375 plus $397.96, or $772.96.

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