give the name monomial, binomial, trinomial and the degree of the polynomial
x.

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Answer: The margin of error (ME) for a 90% confidence interval using a normal distribution with a known population standard deviation is given by:

ME = z* (σ/√n)

where z* is the z-score corresponding to the desired confidence level (in this case, 90% confidence), σ is the population standard deviation, and n is the sample size.

Using a z-score table or calculator, we find that the z-score corresponding to a 90% confidence level is 1.645.

Substituting the given values, we have:

ME = 1.645 * (40 / √100) = 6.58

Therefore, the margin of error for a 90% confidence interval for the mean score of all students on this test is 6.58. We can report the 90% confidence interval as:

180.23 ± 6.58 or (173.65, 186.81)

Step-by-step explanation:

Answer:16

Step-by-step explanation:

25/100 × x = 4

x = 4 × 4

x = 16

Answer:

The answer is (-100).

Step-by-step explanation:

Now,

x/5 + 6 = -14

Cross multiplication

x + 5 × 6 ÷ 5 = -14

x + 30/5 = -14

Multiply 5 both sides we get,

x + 30/5 × 5 = -14 × 5

x + 30 = -70

x + 30 – 30 = -70 – 30

x = -100

Thus, The value of x is (-100).

Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

Given Equation:

x/5 + 6 = -14

Subtract 6 to both sides

x/5 = -14 - 6

x/5 = -20

Multiply 5 to both sides

x = -20 × 5

x = -100

\(\rule[225]{225}{2}\)

Answer:

1

Step-by-step explanation:

yeah that's it

also double checked it

Answer:

<3 there your welcome

Step-by-step explanation:

According to the Horizontally translating, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.

According to the statement

we have to find that the by how much shifting in the graph the given changes take place in the statement.

So, For this purpose, we know that the

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis

Translating a function horizontally is adding up a constant value.

For example g(x) = f(x) + a means that g(x) is the function f(x) translated a units horizontally.

If a is positive the graph is shifted a units upward, if a is negative the graph is shifted a units downward.

Then, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.

So, According to the Horizontally translating, the graph of y = 3√x - 3 is the graph of y = 3√x shifted 3 units downward.

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Answer:

£48 because if they are paid the same amount, it will stay the same as jack's paycheck

Step-by-step explanation:

Answer:

$64

Step-by-step explanation:

Operation:

Direct proportion

Explanation

8 * 48/6

8 * 8 = $64

Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

Answer:

B. c║d

Step-by-step explanation:

If they equal each other and their on different lines, then those lines are parallel.

Answer:

answer B (c is parallel to d)

Step-by-step explanation:

if angle 1 and angle 3 are equal, then they are corresponding angles.  Corresponding angles will always make the line they share a transversal, and a transversal (in this case, line a) can only be considered one if it passes through two parallel lines.

The volume of the prism is 48.75cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

A prism is a solid shape that is bound on all its sides by plane faces.

The volume of the prism is expressed as;

V = base area × height

base area = 1/2 bh

area = 1/2 × 6 × 5/2

= 30/4

= 7.5 cm²

Height of the prism = 13/2 = 6.5 cm

Therefore the volume

= 7.5 × 6.5

= 48.75 cm³

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Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Answer:

Option D- 11

Step-by-step explanation:

Replace x with 2 and you will get

f(2)=3(2)+5

f(2)=6+5

f(2)=11--> Option D

Hope this helps you.

Answer:

6.890625 Tons

Step-by-step explanation:

To get total in ounces: [(14,700 x 15) = 220,500 OZ].

To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]

Answer:

ITS B

Step-by-step explanation:

HOPEFULLY THIS WORKS!!!

The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.

The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.

A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.

You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.

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Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

The expression which is used to represents the statement "one-more than the quotient of a number x" and 4 is "x/4 + 1".

A "Quotient" is the result of a division operation between two numbers, where one number is divided by another. It represents the number of times one number is contained within another number.

An "Expression" is defined as "mathematical-phrase" which contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions and other mathematical symbols.

The quotient of a number"x" and 4 can be written as x/4.

So, one more than the quotient of a number x and 4 can be represented by the expression:

⇒ x/4 + 1,

Therefore, required mathematical expression is "x/4 + 1".

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The given question is incomplete, the complete question is

Write an expression to represent : One more than the quotient of a number x and 4.

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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a) The angles outside the side PQ measure 65° and 25°

The angles outside the side QR measure 85° and 95°

The angles outside the side PR measure 55° and 35°

b) The arc PR, PQ and PR measure 120°

a)

Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.

Let side PR of triangle intersects the quadrilateral at points M and N.

So, we get a triangle DMN outside the equilateral triangle.

Here, ∠DMN = 55°, ∠D = 90°

So, ∠MND = 180 - (90 + 55)

                 = 35°

Similarly,  side PQ of triangle PQR intersects the quadrilateral at points X and Y.

So, we get a triangle AXY outside the equilateral triangle.

From triangle PXM we get the measure of angle PXM which is 65 degrees.

As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°

∠A = 90°

So, ∠AYX = 180° - (∠A + ∠AXY )

                 = 180° - (90° + 65°)

                 = 25°

Let the side QR of triangle PQR intersects the quadrilateral at points L and K.

so we get new quadrilateral LKBC

In this quadrilateral ∠B = 90°, ∠C = 90°

From triangle QYL, we get the measure of angle QLY = 95°

So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)

So, the remaining angle LKC of quadrilateral LKBC would be,

∠LKC = 360° - (∠B + ∠C + ∠KLB)

∠LKC = 360° - (90 °+ 90° + 95°)

∠LKC = 85°

b)

We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

so, the measure of arc PR = 120°

the measure of arc PQ = 120°

the measure of arc RQ = 120°

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Answer:

What option are you talking about for, is it for your quiz or for your classwork

The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

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Answer:

\(a_1=\frac{39}{8}; \ d=-\frac{1}{4}.\)

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

\(\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.\)

4) finally: the first term is '39/8', the difference is '-1/4'.

Answer:

Plzzzz answer fast......

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Answer:

The probability is 31/35

Step-by-step explanation:

Answer:

The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Step-by-step explanation: