If f(x) = 2x-3/5 , which of the following is the inverse of f(x)?
5
O A. f¹(x) =
OB. f¹(x) =
O C. f-¹(x) =
OD. f1(x) =
5x+3/
2
2x+3/
5
3x+5/
2
3x+2/
5

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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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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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:

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]      

Using the values in the table, we can see that the summation is equal ot -0.65

Here we want to find the summation:

[tex]\Sigma [x*P(x)][/tex]

This is equivalent to a expected value,  where we take the summations of the outcomes times the probability of each one.

So we take the value of x, and we multiply it by the value of P(x) that is in the same row and then we add all of these.

To do so, we just need to replace the values of the table, we will get:

[tex]\Sigma [x*P(x)] = -1*0.999 + 349*0.001\\ = -0.65[/tex]

That is the expected value.

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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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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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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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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.

The dilatiοn preserves the side lengths and angles οf triangle. The reflectiοn dοes nοt preserve side lengths and angles.

A geοmetrical adjustment that changes an οbject's size is dilatiοn. In mοre detail, dilatiοn entails extending οr cοntracting an item by increasing each pοint's distance frοm a fixed center pοint by a predetermined amοunt, knοwn as the scale factοr.

Let's start by applying the reflectiοn alοng the y-axis. All οf the vertices will have their x-cοοrdinates negated as a result, but their y-cοοrdinates will remain unchanged.

After reflectiοn, pοint A (-4, -2) will appear as A'. (4, -2). In the same way, B (-4, -2) will becοme B' (-4, -2), and C (4, -4) will change intο C'. (-4, 4).

Applying a dilatatiοn by a factοr οf 1/2 with the οrigin as the center will cοme next. This will result in a halving οf all distances frοm the οrigin.

After dilatiοn, pοint A' (4, -2)'s image will be A'' (2, -1), B' (-4, -2) will change tο B'' (-2, -1), and C' (-4, -4) will becοme C''. (-2, 2).

We must cοmpare the distances between the triangle's vertices and the angles' measurements in the οriginal triangle and the image tο see if the side lengths and angles are preserved.

The distance between pοints A and B is 8, but the distance between  A'' and B'' is 4, as we can see. Similarly, the separatiοn between B and C is 6, whereas between B'' and C'' is 3. The dilatiοn dοes nοt preserve the triangle's side lengths as a result.

Nevertheless, it is clear that the angles between the sides were kept because the transfοrmatiοn invοlved bοth a reflectiοn and a dilatatiοn, bοth οf which prοtect angles.

Therefοre the cοrrect οptiοn is D. The dilatiοn preserves the side lengths and angles οf the triangle, while the reflectiοn dοes nοt preserve side lengths and angles.

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You spent $75 for the month when you used 7 GB of data. It would be worthwhile to upgrade to the 10 GB plan for $80 if you frequently exceed the 4 GB cap.

No matter how much of a good or service is used or consumed, a flat rate is a set amount that is charged. There are no extra fees or variable expenses; there is just one price that includes all related costs and fees. Utility bills, subscription services, and other recurring costs are frequently priced using flat rates. While they offer a predictable cost and can make budgeting and financial planning easier, they might be beneficial for clients who utilise a high volume of the product or service.

Given that, you are charged $5 for every GB you go over.

Here,

Extra data used = 7 GB - 4 GB = 3 GB

Cost of extra data = 3 GB x $5/GB = $15

Thus,

Total cost = $60 + $15 = $75

Hence, you spent $75 for the month when you used 7 GB of data.

It would be worthwhile to upgrade to the 10 GB plan for $80 if you frequently exceed the 4 GB cap. To decide which plan would be more affordable in the long run, you would need to evaluate the expenses of the two options and take into account your average monthly data use.

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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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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: C. 21

Step-by-step explanation:

= 105/5

= 21

Answer:

c

Step-by-step explanation:

105/5

=21

so the answer is 21

We can conclude after answering the presented question that x = $2.00 equation  (price of a queso pizza rebanada) y = $1.25 (price of a pie and championes pizza rebanada)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or readings of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the calculation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

The two variables are the price of a rebanada de pizza de queso and the price of a rebanada de pizza de pia y championes.

It is x the price of a rebanada de pizza de queso and y the price of a rebanada de pizza de pia y championes.

We have the following equation system:

3x + 4y + 12.50 = 12.50 (costo de las 7 rebanadas de pizza) (costo de las 7 rebanadas de pizza)

3x + 2y = 8.50 (costo de las 5 rebanadas de pizza que no incluyen el tool) (costo de las 5 rebanadas de pizza que no incluyen el tool)

When we solve the equation system, we get:

x = $2.00 (price of a queso pizza rebanada) y = $1.25 (price of a pie and championes pizza rebanada)

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Step-by-step explanation:

The statement does not make sense. A triangle cannot have two right angles as the sum of the three angles in a triangle is always 180 degrees. Two right angles would add up to 180 degrees, leaving no room for the third angle.

To determine the number of plants needed, first find the perimeter of the square flower bed by multiplying the length of one side by 4 (since there are four sides in a square). 8 x 4 = 32 feet. Then convert the spacing of 8 inches to feet by dividing by 12 (since there are 12 inches in a foot). 8 / 12 = 0.67 feet. Finally, divide the perimeter of the flower bed by the spacing of the plants to get the total number of plants needed. 32 / 0.67 = 47.76. Round up to the nearest whole number to get the final answer of 48 plants.

A square is a type of rectangle because it has four right angles and opposite sides that are parallel and congruent. A square is a type of rhombus because it has four sides of equal length. A square is a type of parallelogram because it has two pairs of opposite parallel sides. A square is a type of quadrilateral because it has four sides. A square is a type of polygon because it is a closed shape with three or more sides.

Answer:

≈25,99

Step-by-step explanation:

Use trigonometry:

sin (38∘) = 16 / x

x = 16 / sin (38∘) ≈ 25,99

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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The coordinates after each rotation are given as follows:

The function rule for the five more known rotation rules are given as follows:

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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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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

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:

Answer:

z^138 and z^×2183 is the answer

The characteristic that is representative of a FUSION reaction is: B. The reaction happens predominantly in stars, like our sun.

A reaction is a process that involves the transformation of one or more substances into new substances with different physical and/or chemical properties. Reactions can be classified as either physical or chemical depending on the nature of the change that occurs. In a physical reaction, the identity of the substances remains the same, but their physical properties, such as size, shape, or phase, may change. Examples of physical reactions include melting, freezing, boiling, and condensation.

Here,

Fusion reactions involve the joining together of two atomic nuclei to form a heavier nucleus, releasing a large amount of energy in the process. These reactions occur naturally in stars, including our sun, where the high temperatures and pressures allow the atomic nuclei to overcome their mutual repulsion and come close enough to fuse. While scientists are working on developing fusion reactors for use on Earth, the technology is still in the experimental stage and is not yet cost-effective for widespread use. However, fusion reactions do not produce long-lasting radioactive waste as in the case of nuclear fission reactions.

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We can expect the number cube to land on 5 about 12 times if it is tossed 72 times.

Answer: There is no solution to the equation.

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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[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)