if a jacket is on sale for 30% off the regular price of $65.49, how much is the discount?​

Answer:

4

Step-by-step explanation:

Answer:

12,0 is the y intercept

-4,0 is the x intercept

Step-by-step explanation:

Answer:

The y-intercept is 12, which means it goes through the y-axis at (0, 12)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The angle A for the given triangle will be 65°.

What is a triangle's definition?

In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.

Scalene Triangle - The length of each side varies.

Isosceles Triangle - A triangle having two equal-length sides and one that is not.

Equilateral Triangle - A triangle with three sides of equal length.

Now,

let the right angle is at B

then AC=hypotenuse and AB=Base

then cos A=B/H=8/19

cosA=0.4210

∠A=65°

hence,

          The angle A for the given triangle will be 65°.

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The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

A division is a process of splitting a specific amount into equal parts.

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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Answer:  Y=90, X=39, blank angle=39

Step-by-step explanation:

Since y is a right angle, which is very visible by the square angle thingy, y = 90, and since y + 51 degree angle + x = 180, we can find the value of x, and then find the blank angle. Since y is 90, it is half of the supplementary angle. So since the other half is 51 degree angle + x, x + 51 = 90, so 90 - 51 = 39, so the value of x is 39. and since the blank angle is vertically opposite to x, then the blank angle is also 39!

Sorry if I overexplained.

Step-by-step explanation:

3x+9+4x-3+8x-6=180

15x=180

x=12

angle 1= 3x+9=36+9=45°

angle 2=4x-3=48-3=45°

angle 3=8x-6=96-6=90°

1) it's right triangle

2) it's isosceles triangle

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Given:

A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.

To find:

The expression which represents the perimeter, in centimeters, of the triangle.

Solution:

We know that

Perimeter of a triangle = Sum of length of all sides of the triangle

\(Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)\)

Now, combine like terms.

\(Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)\)

\(Perimeter=13.1v+2.4w+0.4\)

Therefore, the expression for perimeter, in centimeters, of the triangle is \(13.1v+2.4w+0.4\).

Answer:

A on edge 2021

Step-by-step explanation:

The amount of the sale of the home is $2090181.82

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

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

using the above as a guide, we have the following:

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

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Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Since we have the recursive formula, we can find the value of a₂, a₃, and a₄.

To find the value of a₂, we replace the value of a₁ in the above equation, and we operate:

Now, to find the value of a₃, we replace the value of a₂ in the recursive formula, and we operate:

Finally, to find the value of a₄, we replace the value of a₃ in the recursive formula, and we operate:

Therefore, the value a₄ is the 12.

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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The cost of the manicure (b) is,

⇒ b = $4.275

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Delaney gave her nail technician a $4.50 tip.

And, The tip was 5% of the cost of the manicure.

Now, Let the cost of the manicure = b

Hence, We get;

⇒ b = $4.50 - 5% of 4.50

⇒ b = 4.50 - 5/100 × 4.50

⇒ b = 4.50 - 5 × 0.045

⇒ b = 4.50 - 0.225

⇒ b = $4.275

Thus, The cost of the manicure (b) is,

⇒ b = $4.275

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Answer:

y=20x

Step-by-step explanation:

The first function is represented by the green line, while the second is represented by the orange line

Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals

The function is defined by

\(f(x) = \left \{ {{x^2,\ x\le1} \atop {2x + 1,\ x > 1}} \right. \)

The first function in f(x) is defined by

\(f(x) = x^2, \ x \le 1\)

See attachment for the graph of the first function

The second function in f(x) is defined by

\(f(x) = 2x + 1, \ x > 1\)

See attachment for the graph of the second function

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Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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In this situation, the independent variable is x, which is the number of groups, and the dependent variable is y, which is the number of exercises needed.

To model this situation with an equation, we need to calculate the number of exercises needed for each group. Since we have x groups, and each group needs a unique exercise, we can calculate the number of exercises needed by multiplying the number of groups by 5, since each group has 5 members. Thus, the equation would be y = 5x. This equation uses the fact that each group is made up of 5 members, so each group needs a unique exercise. In order to determine the number of exercises needed, we can solve the equation for x by dividing both sides by 5. This gives us x=y/5, which indicates that the number of exercises (x) is equal to the number of groups (y) divided by 5.For example, if we have 8 groups, then the number of exercises needed would be 5*8 = 40.In this situation, the independent variable is x, which is the number of groups, and the dependent variable is y, which is the number of exercises needed.

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Answer:

attached below

Step-by-step explanation:

Applying the rule of logical equivalences

attached below  is a detailed solution ( written as a numbered sequence of statements )

Answer:

identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.

What is logical equivalence?

A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.

Contradiction and tautology

Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.

However, why is this significant?

We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.

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Answer:

we need to solve the volume of a figure in order to know the amount of substance in an object

we need volume in many area such as labs when mixing chemicals or vaccines

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan30 = opp/adj = x/1

x = tan30 = ⅓√3 or approximately 0.577

Answer:

luke won

Step-by-step explanation:

he is 2 meters ahead of azam witch is in 2dn place

Answer:

1st one

Step-by-step explanation:

Answer:

\( \cos (u + v) = -\dfrac{56}{65} \)

Good job!

Step-by-step explanation:

\( \cos (u + v) = \cos u \cos v - \sin u \sin v \)

\( \sin u = -\dfrac{3}{5} \); u is in QIII.

That makes \( \cos u = -\dfrac{4}{5} \)

\( \sin v = -\dfrac{12}{13} \); v is in QIV.

That makes \( \cos v = \dfrac{5}{13} \)

\( \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) \)

\( \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} \)

\( \cos (u + v) = -\dfrac{56}{65} \)

You are correct.

Answer:

Step-by-step explanation:

-0.8615

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x: