Find the area of this regular polygon. Round to the nearest tenth. 8.8 ft

9514 1404 393

Answer:

Step-by-step explanation:

If the original price is x, taking 20% off gives a discounted price (d) of ...

 d = x - 20% · x = x(1 -20%) = 0.80x . . . . discounted price

__

Then for an original price of $18, the discounted price is ...

  0.80×$18 = $14.40 . . . discounted price

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer:

Answers in Explanation

Step-by-step explanation:

8x^3 + 2x^2 - 20x - 5

(8x^3 + 2x^2) + (-20x - 5)

2x^2 (4x + 1) + (-5) (4x+1)

(2x^2 - 5) (4x + 1)

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".

Hypotheses: M(Penelope), D(Penelope)

Conclusion: M(Penelope)

Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:

From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)

From D(Penelope), we have M(Penelope)

So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".

Hypotheses: A(Penelope), ~D(Penelope)

Conclusion: ~M(Penelope)

Using modus tollens, which states that if P implies Q and Q is false, then P must be false,

we can conclude that M(Penelope) is false:

From A(Penelope) and "Every student who missed class or got a detention did not get an A",

we have ~M(Penelope) & ~D(Penelope)

From ~D(Penelope), we have ~M(Penelope)

So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

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\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root

What is a root ?

Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.

Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

3x^4 -10x^3 -9x^2 + 40x - 12

=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)

=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)

= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)

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Answer:

c is the right answer

Step-by-step explanation:

okk how are u ?

The statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.

Long-term bonds keep an investor's money locked up for a longer period than a short-term bond, giving the bond's price more time to be impacted by changes in interest rates and inflation.

As we know,

The fact that short-term bonds offer lower interest rates than long-term bonds is a drawback.

Long-term bonds have a larger chance of receiving higher rates since there is a bigger likelihood that interest rates will rise over time.

Bonds with a long term are often those that investors hold for almost ten years.

Thus, the statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.

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Answer:

Step-by-step explanation:

Use PEMDAS order

Parenthesis

Exponents

Mult/Div whichever is first

Add/Sub whichever is first

Special Because the division is there Do above the line and below first, dividing will be last

Substitute

\(\frac{2(5) - 3(5-3)}{3-1}\)

\(\frac{2(5)-3(2)}{2}\)

\(\frac{10-6}{2}\)

\(\frac{4}{2}\)

2

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Answer:

B)

Step-by-step explanation:

To know which line is equivalent, we need to convert this equation from standard to slope-intercept form. We can take our original equation:

5x + 2y = 6

Minus 5x from both sides:

2y = -5x + 6

Then, divide by 2:

\(y = -\frac{5}{2}x + 3\)

Looking at our options, we can see that

B) y equals short dash 5 over 2 x plus 3, is the same. So, B) is the answer.

Hope this helped!

Answer:

\(\textsf{B)} \quad y=-\dfrac{5}{2}x+3\)

Step-by-step explanation:

Given equation:

\(5x+2y=6\)

Subtract 5x from both sides of the equation:

\(\implies 5x+2y-5x=6-5x\)

\(\implies 2y=-5x+6\)

Divide both sides of the equation by 2:

\(\implies \dfrac{2y}{2}= \dfrac{-5x}{2}+ \dfrac{6}{2}\)

\(\implies y=-\dfrac{5}{2}x+3\)

If Celine earned $525 more than Abbas each month. The amount that Abbas earn in a year is $17,700.

First step is to find the amount Celine saved in one month

Amount  saved = 8250 ÷ 11

Amount saved = $750

Second step is to find the amount Abbas saved

Amount saved = $750 – $525

Amount saved  = $225

Third step is to find the amount that Abbas earn each month

Abbas earnings =$225 + $1250

Abbas earnings = $1475

Now let find the amount Abbas earn in one year

Abbas earnings in one year =$1475 x 12 months

Abbas earnings in one year  = $17,700

Therefore Abbas ear $17,700 in a year.

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Rounding 473,615 to the nearest hundred gives us 473,600.

We have,

Rounding a number to the nearest hundred means that you are looking at the digit in the tens place of the number.

If that digit is 5 or greater, you round up the digit in the hundreds place, and if it is less than 5, you keep the digit in the hundreds place the same.

In the case of 473,615, the digit in the tens place is 1, which is less than 5. So we keep the digit in the hundreds place (3) the same and round the remaining digits to zero.

Thus,

Rounding 473,615 to the nearest hundred gives us 473,600.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Step-by-step explanation:

Help

Answer: E

Step-by-step explanation:

Answer:

\(x^{2}=27*30\\x^{2} = 810\\x=9\sqrt{10}\)

Answer:

The two correct expressions are:

Step-by-step explanation:

Let 'a' and 'b' be the two numbers.

When we say the product of 'a' and 'b', it

Let 'c' and 'd' be the two numbers.

When we say the product of 'c' and 'd', it

And when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:

(a × b) + (c × d)

or

(c × d) + (a × b)

as

(a × b) + (c × d) = (c × d) + (a × b)

So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".

It algebraically means:

(12 × 2) + (3 × 8)

or

(3 × 8) + (12 × 2)

as

(12 × 2) + (3 × 8) = 24 + 24      ∵ 12 × 2 = 24, 3 × 8 = 24

                           = 48

(3 × 8) + (12 × 2) = 24 + 24      ∵  3 × 8 = 24, 12 × 2 = 24,

                          = 48

Therefore, the two correct expressions are:

☽------------❀-------------☾

Hi there!

~

\(8.71 = 9\)

\(26.01 = 26\)

\(69.48 = 69\)

\(103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Step-by-step explanation:

Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer

If it is 0,1,2,3,4, then write the whole number as it it.

a) 8.71

tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9

8.71 = 9

b) 26.01

Tenth place is 0 and it is less than 5.So, write the whole number as it is.

26.01 = 26

c) 69.48 = 69      { 4 is less than 5}

d) 103.72 = 104   { 7 >= 5}

e) 49.84 = 50  { 8 >= 5}

f)101.35 = 101  

g) 39.814 = 40

h)1.23 = 1

Note:

Your first question is missing the y-intercept, so I am solving the 2nd question, but the procedure to solve each of the questions is the same.

Answer:

The equation in the standard form is:

\(\frac{2}{3}x\:+\:y\:=-4\)

Step-by-step explanation:

Given

Slope m = -2/3

y-intercept = -4

We know that the slope-intercept form of the line equation

y = mx+b

where

now substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

\(y = mx+b\)

\(y\:=\:-\frac{2}{3}x\:\:+\:\left(-4\right)\)

\(y\:=\:-\frac{2}{3}x\:-4\)

We know that the equation in the standard form is

\(Ax + By = C\)

where x and y are variables and A, B and C are constants

so writing the equation in the standard form

\(y\:=\:-\frac{2}{3}x\:-4\)

\(\frac{2}{3}x\:+\:y\:=-4\)

Therefore, the equation in the standard form is:

\(\frac{2}{3}x\:+\:y\:=-4\)

(1.5)x + 1.5 = 30 and 1.5x = 28.5 are the correct equations that Beverly could use to determine how many marbles are in the bag.

Let x be the number of marbles in the bag.

Each marble weighs 1.5 grams and the bag weighs 1.5 grams.

Therefore, the total weight of the marbles and the bag is 1.5x + 1.5 grams.

But we know that the total weight is 30 grams.

So, we can write the equation:

1.5x + 1.5 = 30

Simplifying this equation, we get:

1.5x = 28.5

Therefore, the number of marbles in the bag is x = 19.

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Answer:

(-2,-1)

Step-by-step explanation:

Assuming you mean 4x instead of \(x_4\) or \(x^4\):

\(y=x+1\)

\(y=4x+7\)

We are already given the value of y so plug it into the second equation. Lets use substitution to solve this system of linear equations.

\(x+1=4x+7\)

Subtract 1 on both sides

\(x=4x+6\)

Subtract 4x on both sides

\(-3x=6\)

Divide by -3

\(x=-2\)

We now have the x coordinate, plug it into the other equation:

\(y=-2+1\)

\(y=-1\)

Our ordered pair is (-2,-1)

Answer:

D) \(-\frac{3}{5}\)

Step-by-step explanation:

Given

\(tan\theta=-2,\:\frac{\pi}{2}<\theta<\pi\\cos(2\theta)=?\)

Use identities

\(cos(2\theta)=\frac{1-tan^2\theta}{1+tan^2\theta}\\\\cos(2\theta)=\frac{1-(-2)^2}{1+(-2)^2}\\\\cos(2\theta)=\frac{1-4}{1+4}\\ \\cos(2\theta)=-\frac{3}{5}\)

The slope intercept form of the equation of line is written as

y = mx + c

where

m represents slope

c represents y intercept

For the first equation,

y = - 5x

Slope, m = - 5

For the second equation,

25x + 5y = 1

5y = 1 - 25x

5y = - 25x + 1

Dividing both sides of the equation by 5, it becomes

y = - 5x + 1/5

Slope, m = - 5

If the slope of two equations are equal, it means that the lines are parallel. Since the slope of both equations is - 5, then they are parallel

They are parallel

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Answer:

18

Step-by-step explanation:

Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly,  you add 7+3+8=18.

The product will be 18.

Hope this helps! :)

Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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By conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

The order of operations refers to the rules that specify how to solve an expression including many operations.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, we know that:

John earns $22 per hour for the first 40 hours of a week.

After every additional hour, he earns 1.5 times $22 each hour.

22 * 1.5 = $33

So, John's gross pay if he worked 44 hours will be:

22*40 + 33*4

880 + 132

$1,012

Therefore, by conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

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Answer:

Serena can hit with her driver twice as far as she can hit with her 9-iron. So, the expression 2(100 − x) represents the distance she can hit using her driver.

Step-by-step explanation:

Put this in your own words because it is the same answers from it.