The graph below is the function f(x)

Answer:

The online price with 25% off is $17.25.

The original price is $21.56

To find the original price, you will multiply the discount price by 25%, or 0.25.

0.25 * 17.25 = 4.3125 or 4.31

Now you will ad that to the discount price to find the original price:

4.31 + 17.25 = 21.56

The original price was $21.56.

Step-by-step explanation:

Hope it helps! =D

Answer:

$21.56

Step-by-step explanation:

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To solve this, we can multiply the price by 1.25.

We multiply by 1.25 because in order to solve for the original price of an object that was 25% off, we have to add that 25% back. The reason we don't multiply by 0.25 is because if we were to do so, the price would be getting smaller, not larger.

Therefore, the original price is $21.56

Answer:

Step-by-step explanation:

The rate of change is dy/dx=-1025

A graph of the points (-3, 8) and (5, -8) is shown on the plane below.

The slope-intercept form of the equation of the line through these points is y = -2x + 2.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (-3, 8), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - 8 = (-8 - 8)/(5 + 3)(x + 3)

y - 8 = -16/8(x + 3)

y = -2(x + 3) + 8

y = -2x - 6 + 8

y = -2x + 2

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Answer:

-12 + 4d

Step-by-step explanation:

(-3)4 - d(-4)

-12 - -4d

The centripetal acceleration of the wooden block is 0.32 m/s^2.

The centripetal acceleration of an object moving in a circle with radius r and angular velocity ω (in radians per second) is given by the formula:

a = rω^2

In this problem, the wooden block is on the end of a string with a radius of 0.7 meters, and it makes 14 rotations in 20.7 seconds. The angular velocity ω can be calculated by dividing the number of rotations by the time:

ω = (14 rotations) / (20.7 seconds) = 0.676 radians/second

Plugging in the values for r and ω, we get:

a = (0.7 meters) × (0.676 radians/second)^2 = 0.32 m/s^2

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The given question is incomplete, the complete question is:

A group of students observes that a wooden block (m = 0.40 kg) on the end of a string with a radius of 0.7 meters makes 14 rotations in 20.7 seconds when twirled. Part A Calculate the centripetal acceleration of the wooden block?

  tanθ   = √3 are the values of cos and tan in Trigonometric Ratios .

How are trigonometric ratios defined?

As specified by the definition of a right-angled triangle's side ratio, trigonometric ratios are the values of all trigonometric functions. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Sinθ =  -√3/2

  cosθ = √1 - sin²θ

        = √1 - (-√3/2)²

       = √ 1 - 3/4

       = √4-3/4

     = √1/4

 cosθ = 1/2

since π<θ<3π/2 in third quadrant.

 We know, cosθ in third quadrant is negative.

   cosθ = -1/2

  tanθ = sinθ/cosθ

     tanθ = -√3/2/-1/2

       tanθ   = √3

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You can write a check for the full amount of $303.12 right away because you currently owe $378.12 on your credit card.

aggregating attempting to quantify the number, maximum count, or time needed. The sum in front of you or being contemplated about is quite active. the overall verdict, its impact, or its import. three accountings: initial, interest, and indeed the third. Word equivalents include amounts, amounting, and amount. supple noun How much something is, how many you have, what you're using, or even how much you get is its quantity. He needs as much cash to get by.

given

owe $378.12 on your credit card

past due charge of $25

limit fee of $50

$378.12- ($25 + $50 )

= $378.12 - $75

= $303.12

You can write a check for the full amount of $303.12 right away because you currently owe $378.12 on your credit card.

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If a = 9 and c = 9, the length of b is 3√18.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a right angled triangle with the given length of base and altitude.

Length of base = 9

Length of altitude = 9

We have to find b, which is the hypotenuse.

Using Pythagoras theorem,

Hypotenuse² = Base² + Altitude²

b² = a² + c²

b² = 9² + 9²

b² = 81 + 81

b² = 162

b = √162 = √(18×9) = 3√18

Hence the length of hypotenuse is 3√18.

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Your question is incomplete. Probably the correct question is as follows.

Given a right angled triangle.

a is marked the base, c is marked the altitude and b is marked the hypotenuse.

Find b: If a = 9 and c = 9

Answer: (2,1.6)

y=1.6

Step-by-step explanation:

you have the x coordinate, so that means x=2.

Plug in values for x:

5(2) + 5y = 18

10 + 5y = 18

Solve for y.

Answer:

The missing coordinate is 1.6.

Step-by-step explanation:

A coordinate is two points, x value and y value, on a graph. Ex: 1, 4. 1 is on the x axis, and 4 is on the y axis. In some Math problems, the point in the x value will be replaced with x.

5x + 5y = 18

5(2) + 5y = 18

10 + 5y = 18

10 - 10 + 5y = 18 - 10

5y = 8

5y/5 = 8/5

y = 1.6

To check this, we need to input 2 and 1.6 into the original problem.

5(2) + 5(1.6) = 18

10 + 5(1.6) = 18

10 + 8 = 18

18 = 18

This is true, so we know 1.6 is correct.

The price that dealerships pay for vehicles is called the wholesale price.

The sticker price of the car, given the MSRP and the navigation package among others, is $ 33, 699.

The sticker price of the car is the MSRP plus the price of any additional options or charges. So we need to add up the MSRP, premium package, navigation package, and destination charge:

Sticker price:

= MSRP + premium package + navigation package + destination charge

= 29, 999 + 2, 500 + 500 + 700

= $ 33,699

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Answer:

W = 8cm

L = 19cm

Step-by-step explanation:

The first step to solving these problems is always writing the information that is given into 2 equations.

Piece of info #1: Length is 5cm less than 3 times the width

Piece of info #2: Perimeter (of the rectangle, which has 4 sides) is 54cm

Turing these into equations...

Equation 1) L = 3*W - 5

Equation 2a) L+L+W+W = 54

Let's simplify that second equation:

Equation 2b) 2L+2W = 54

Now, we just solve the system of two equations by substitution. Take the known value of L from equation 1 and substitute it in for the value of L in equation 2b:

2*(3*W-5)+2W = 54

Now we solve for W:

6W - 10 + 2W = 54

8W - 10 = 54

8W = 64

W = 64/8

W = 8 cm

Now that we know W, we can substitute its value into either equation 1 or equation 2 to find L. Here, I'll randomly choose equation 1.

Equation 1) L = 3*W - 5

L = 3*8 - 5

L = 24-5

L = 19 cm

Answer:

32

Step-by-step explanation:

Please clarify OU bisects ∠XO*. Is it Z? If it is so, then the solution is below:

∠YOX = ∠XOZ (vertical angles)

5x + 21 = 9x - 55

5x - 9x = -55 - 21

-4x = -76

X = 19

=> 5x + 21 = 5(19) + 21 = 116

∠YOX + ∠XOZ = 180 (linear angles)

116 + ∠XOZ = 180

∠XOZ = 180 - 116 = 64

Since OU bisects ∠XOZ

=> ∠XOU = ∠UOZ = 64/2 = 32

The probability that he will make both free throws is 0.84.

What exactly is the meaning of probability?

Probability expresses the possibility of an event. This branch of mathematics studies the occurrence of a random event. The value ranges between 0 and 1. Probability is used in mathematics to anticipate the possibility of events occurring.

Probability refers to the likelihood of something occurring. This fundamental premise of probability theory is used by the probability distribution. We must first know the entire number of possibilities before we can assess the possibility of an event occurring.

P(E) is the probability of an event occurring divided by the total number of outcomes.

Now,

Given that player makes 92% of freethrows

that means p(making free throws)=92/100

=23/25

so making two free throws probability will be =23*23/25*25

=529/625

=0.84

Hence,

           The probability that he will make both free throws is 0.84.

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The opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

Two or more expressions with an Equal sign is called as Equation.

The Opportunity cost in this case is the amount of points that Jose has to forgo for picking one alternative.

If Joe had picked strategy B which would give Jose 90 points on statistics then that means that Jose would not have picked strategy A which gave a 94 in Economics.

Therefore instead of getting a 94, Jose would get a 77. The opportunity cost is therefore;

= 94 - 77

= 17 points

Hence, the opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

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The total price of the sofa is £3000.

To calculate this, multiply the given amount by "0.2", which equals "20%".

[tex]2500*0.2=500[/tex]

[tex]2500+500=3000[/tex]

The total price of the sofa is £3000.

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

So if we want to add 20% of any amount to said amount, we may multiply it by (1+0.2), which equals "1.20", and it'll give us the result immediately:

[tex]2500*(1+0.2)\\ \\2500*1.2=3000[/tex]

Now, working on the opposite way, let's say we want to reduce that same number (2500) by 25%, maybe because there's a discount on the product. In that case, we must multiply by (1-0.25), which equals 0.75:

[tex]2500*(1-0.25)\\ \\2500*(0.75)=1875.[/tex]

Given :-

To Find:-

Solution:-

Here we are given that Ryan purchases a sofa for £2500 . In order to find the cost of sofa after VAT , find 20% of the price of the sofa,

20% of £2500

20/100 * £2500

£500

Now add this to the original price of the sofa,

£2500 + £500

£3000

Hence the cost of the sofa after VAT is £3000 .

The mass of the radioactive sample at the beginning of the 13th day of the experiment will be around 424.7 grams.

A metric weight measurement unit. A gramme is one thousandth of a kilogramme, or about 30 times smaller than an ounce. Leave a space between the word "gramme" (or the symbol "g") and the number that comes before it when a specific number is provided. In technical and scientific writing, the unit name and the number are either written together in full (for example, ten grammes) or a numeral is used with the sign ( e.g. 10 g ).

When we find the mass of radioactive, we obtain:

m₀=initial mass=1500 grams, r = 13% and n =12 days

⇒m = m₀ x [tex](1 - \frac{r}{100} )^{n}[/tex]

⇒m =1500×[tex](1-\frac{13}{100}) ^{12}[/tex]

⇒m=424.7 grams.

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The number can be said to be a multiple of 4 if the last two digits of the number is a multiple of 4

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

Let the number be represented as n

Now , the number can be said to be a multiple of 4 if the last two digits of the number is a multiple of 4

Let the value of the number n be n = 3240

Now , the last two digits of the number is 40

And , the number 40 is a multiple of 4 , so the number 3240 is also a multiple of 4

where n / 4 = 810

Hence , the factors of the number 4 is a multiple of 4

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Two polygons are similar if and only if all corresponding angles are congruent and all corresponding sides are proportional. The solution has been obtained by using concept of similar quadrilaterals.

What are similar quadrilaterals?

Two quadrilaterals are considered to be similar when two adjacent sides have the same ratio and all three matching angles are equal (the fourth angle automatically becomes equal because the internal angle sum equals 360 degrees).

Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.

Hence, the corresponding angles need to be congruent.

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It can't because 15 + 8=23 and the sum of the first 2 sides have to be greater than the third side
So the answer is 18

Answer:

x=14, and value of second one would be 7

Step-by-step explanation:

The answer is 4 times the cube of the first number minus the sum of the second number and two times the third number. That is the result of the calculation is -6.

To calculate this, first, we multiply the first number by itself twice to get the cube of the first number. Then, we subtract the sum of the second and third numbers multiplied by two from the cube of the first number. This result is our answer.

For example, let's say we have the numbers 2, 3, and 4. We first calculate the cube of 2, which is 8. Then, we subtract the sum of 3 and 4 multiplied by two, which is 14. So, the final answer is 8 - 14 = -6.

We can also show the stepwise calculation as follows:

= 2³ - (3 + 2 × 4)

= 8 - 14

= -6

Therefore, the result of the calculation is -6.

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After 2 hours, the Serenity and Mystic sailboats will be 68 miles apart. To determine how far apart the Serenity and Mystic sailboats will be after 2 hours, we need to calculate the total distance each boat will travel in that time.

The distance that the Serenity travels is:

distance = rate x time = 13 mph x 2 hours = 26 miles

The distance that the Mystic travels is:

Distance = rate x time = 21 mph x 2 hours = 42 miles

To use this formula, you need to know the rate at which the object is traveling and the time it has been traveling.

Simply multiply the rate by the time to calculate the distance traveled.

Since they are traveling in opposite directions, we can add these distances to find the total distance between them:

total distance = distance traveled by Serenity + distance traveled by Mystic

total distance = 26 miles + 42 miles

total distance = 68 miles

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Answer:

Step-by-step explanation:

up to beyond hald a milimeter in length

2mm

The given sequence is

[tex]z_n = log(1 + (θ/(α + {i*cos(π/2) - i*sin(π/2)}))^n)[/tex]

First, we need to simplify the expression inside the log. The term [tex]{i*cos(π/2) - i*sin(π/2)}[/tex] can be simplified to 0, since cos(π/2) = 0 and sin(π/2) = 1.

Therefore, the expression inside the log becomes [tex](1 + (\theta/\alpha)^n)[/tex].

Now, we need to find the limit of this sequence as n approaches ∞.

If θ/α is less than 1, then (θ/α)^n will approach 0 as n approaches infinity, and the limit of the sequence will be log(1) = 0.

If θ/α is greater than 1, then (θ/α)^n will approach infinity as n approaches infinity, and the limit of the sequence will be log(infinity) = infinity.

If θ/α is equal to 1, then (θ/α)^n will always be 1, and the limit of the sequence will be log(2).

Therefore, the limit of the sequence depends on the values of θ and α. If θ/α < 1, the limit is 0. If θ/α > 1, the limit is infinity. If θ/α = 1, the limit is log(2).

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The required value of the given expression of limit is 1/2.

In mathematics, a limit is a fundamental concept that describes the behavior of a function as its input approaches a certain value or point. In particular, the limit of a function at a point is the value that the function approaches as its input gets arbitrarily close to that point, whether from the left or the right.

Here,
Given expression,
[tex]=\lim_{x \to \\ \pi /3} sin(3\sqrt{2}x/\pi - sec(3x/4) + \pi/6)[/tex]

Put x = π/3
= sin (3√2 × π/3 × 1/π - sec (3/4 × π / 3) + π /6)
= sin(√2 - sec(π/4) + π/6)
= sin(√2 - √2 + π/6)
= sin(π/6)
= 1/2

Thus, the required value of the given expression of limit is 1/2.

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Option D:

32 ÷ (–16) is equivalent to –18 ÷ (9).

Given expression:

–18 ÷ (9)

Let us first solve this expression.

                = -2  (negative by positive is negative)

To find which expression has the same value for the given expression:

Option A: –18 ÷ 2

            = –9 (negative by positive is negative)

This is not equivalent expression.

Option B: –12 ÷ (–3)

                = 4  (negative by negative is positive)

This is not equivalent expression.

Option C: –10 ÷ 5

            = –2 (negative by positive is negative)

This is not equivalent expression.

Option D: 32 ÷ (–16)

                = -2  (positive by negative is negative)

This is the equivalent expression to the given expression.

Hence ,32 ÷ (–16) is equivalent to –18 ÷ (9).

Option D is the correct answer.

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Answer:

The answer to this question would be A

Step-by-step explanation:

I took the test one time before .