5x + 1 over 4 y2 What is the value of the expression above when x = 3 and y = 2?

The reasοns for angles fοr each οf the given statements are respectively;

1) Substitutiοn

2) Definitiοn οf a Straight angle because a straight angle is 180°.

3) Cοngruent Angles have equal measures

We are given that;

m∠1 = 90°

m∠1 + m∠2 = m∠5

∠3 ≅ ∠4

Statement 1; 90° + m∠2 + m∠4 = 180°

Reasοn 1; Substitutiοn

Statement 2; m∠1 + m∠2 + m∠3 = 180°

Reasοn 2; Definitiοn οf a Straight angle because a straight angle is 180°.

Statement 3; m∠3 = m∠

Reasοn 3; Cοngruent Angles have equal measures

Thus, the missing reasοns fοr each οf the given statements are respectively;

1) Substitutiοn

2) Definitiοn οf a Straight angle because a straight angle is 180°.

3) Cοngruent Angles have equal measures

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Complete question:

Using expressions -3 - 5 = -8 and -3 - 3=0, we can say that the statement The difference of a negative value and a positive value is 0 is never true i.e. C.

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,

Example: -3 - 5 = -8, which is not equal to 0.

Example: 5 - 3 = 2, which is also not equal to 0.

However, even if the negative and positive values have the same absolute value, then their difference will not be 0. For example: -3 and 3 have a difference of -6.

Hence,

          the statement The difference of a negative value and a positive value is 0 is never true.

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Answer:

m = -2

Step-by-step explanation:

-m^3 + 17m + 44 = -(m + 2)(m^2 - 2m - 22)

m + 2 = 0 or m^2 - 2m - 22 = 0

m = -2 or m = 1 ± √23

Part (a) replies provide us with the instantaneous rates of change in sales derivatives at t=2, t=3, and t=4 months, respectively. These are 372, 327, and 252 in tens of thousands of dollars each month, respectively.

In mathematics, the derivative of a function with real variables measures how sensitively the function's value varies in reaction to changes in its parameters. Derivatives are the fundamental tools of calculus. Differentiation (the rate of change of a function with respect to a variable in mathematics) (in mathematics, the rate of change of a function with respect to a variable). The use of derivatives is essential in the solution of calculus and differential equation problems. The definition of "derivative" or "taking a derivative" in calculus is finding the "slope" of a certain function. Because it is frequently the slope of a straight line, it should be enclosed in quotation marks. Derivatives are rate of change metrics that apply to almost any function.

a) find the derivatives,

[tex]S(t) = 31t^3 - 501t^2 + 220t + 150\\S'(t) = 3(31t^2) - 2(501t) + 220\\S'(2) = 3(31(2)^2) - 2(501(2)) + 220 = 372\\S'(3) = 3(31(3)^2) - 2(501(3)) + 220 = 327\\S'(4) = 3(31(4)^2) - 2(501(4)) + 220 = 252\\[/tex]

b) To find S(2), S(3), and S''(4), we use the original expression for S(t):

[tex]S(2) = 31(2)^3 - 501(2)^2 + 220(2) + 150 = 662\\S(3) = 31(3)^3 - 501(3)^2 + 220(3) + 150 = 669\\S''(t) = (S'(t))' = 6(31t) - 2(501)\\S''(4) = 6(31(4)) - 2(501) = 264\\[/tex]

c) Part (a) replies provide us with the instantaneous rates of change in sales at t=2, t=3, and t=4 months, respectively. These are 372, 327, and 252 in tens of thousands of dollars each month, respectively.

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Answer:

C ) 18

Step-by-step explanation:

2×5(16÷2-2×3)-2

= 2×5(8-2×3)-2 (16 ÷ 2 = 8)

= 2×5(8-6)-2 (2×3 = 6)

= 2×5(2)-2

= 10(2)-2

= 20-2

= 18

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{1237568 \times 646773}{5373737} = \frac{800425568064}{5373737} = 148951 \frac{2068177}{5373737} [/tex]

First, multiply the numbers that are in numerator

Then divide the product of the numerator by the denominator

And lastly take out the whole part of the fraction and write what remains

It think that's it

Answer:

What is 2097 plus 3284

2097 + 3284

Step-by-step explanation:

You're welcome.

Answer:

80 minutes

Step-by-step explanation:

80x3 is 240

240 mins=4 hrs

(i promise its right this time- i bet)

Answer:

c. 80 minutes

Step-by-step explanation:

Some problems give you too much information, and you need to choose only the information you need. The number of pages is not important. Here you only need the time, 4 hours, and the number of assignments, 3.

4 hours × 60 minutes / hour = 240 minutes

240 minutes / 3 assignments = 80 minutes/assignment

Answer: c. 80 minutes

For any number n > 1, the given complex equation will always be less than 1.

What is a complex equation?

Complex numbers are described as equations of the type z= a+ib, where a and b are real numbers. Re z = a and Im z = ib are used to signify the real and imaginary parts, respectively.

We are given an expression as [tex]|(\frac{1}{2} +\frac{2}{3} i)^{n}|[/tex].

On taking the LCM, we get

⇒ [tex]|(\frac{3 +4i}{6})^{n}|[/tex]

Now, using the exponent rule, we get

⇒ [tex]|(\frac{(3 +4i)^{n} }{6^{n} }|[/tex]

Now, let us assume n = 2.

By substituting this, we get

⇒ [tex]|(\frac{(3 +4i)^{2} }{6^{2} }|[/tex] < 1

Hence, for any number n > 1, the given complex equation will always be less than 1.

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The complete question has been attached below.

Answer:

C

Step-by-step explanation

The Y axis becomes the opposite when being reflected across the X axis

In this scenario, Y becomes -7

The same thing with X when something is reflected across the Y axis

Answer:

Step-by-step explanation:

If the value of the tent depreciates by 12% each year, then its value at the end of each year is 100% - 12% = 88% of its value at the beginning of the year.

So after the first year, the value of the tent will be:

$866 x 0.88 = $761.28

After the second year, the value of the tent will be:

$761.28 x 0.88 = $670.58

After the third year, the value of the tent will be:

$670.58 x 0.88 = $590.99

Therefore, the tent will be worth $590.99 in 3 years, to two decimal places.

Answer:

After one year, the value of the tent will be worth 100% - 12% = 88% of its original value.

After two years, the value of the tent will be worth 88% - 12% = 77.44% of its original value.

After three years, the value of the tent will be worth 77.44% - 12% = 68.1472% of its original value.

To find out how much the tent will be worth in 3 years, we can use the following formula:

Value after 3 years = original value x (1 - depreciation rate)^number of years

Value after 3 years = $866 x (1 - 0.12)^3 = $518.98

Therefore, the tent will be worth $518.98 in 3 years.

The width of the walkway around the rectangular garden should be approximately 2.061 feet wide.

What is rectangle?

A rectangle is a type of quadrilateral with four sides and four right angles (90-degree angles). It is characterized by two pairs of parallel sides of equal length.

Let's represent the width of the brick walkway by "x" feet.

Then the dimensions of the entire rectangle including the brick walkway will be [tex]$(25+2x)$[/tex] feet by [tex]$(13+2x)$[/tex] feet.

The area of the rectangle with the walkway will be:

[tex]$$(25+2x)(13+2x)$$[/tex]

We know that the area of the walkway itself is 287 square feet. So we can set up the following equation:

[tex]$$(25+2x)(13+2x) - 25\cdot 13 = 287$$[/tex]

Simplifying and solving for x, we get:

[tex]$$4x^2 + 86x - 216 = 0$$[/tex]

Using the quadratic formula, we get:

[tex]$x = \frac{(-86 \pm \sqrt{86^2 - 4(4)(-216)})}{2(4)}$$[/tex]

[tex]$$x \approx 2.061 \text{ or } x \approx -26.311$$[/tex]

Since the width of the walkway cannot be negative, we reject the negative solution. Therefore, the width of the walkway should be approximately 2.061 feet wide (rounded to the nearest thousandth).

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The expression that is in simplest form is:

[tex]$1/3 + x^7$[/tex], [tex]$x^{-5} - y^{-4}$[/tex], [tex]$x^{-9} - y^{-1}$[/tex]

What is expression?

In mathematics, an expression is a combination of numbers, symbols, and/or variables that are grouped together in a meaningful way.

The expression that is in simplest form is:

[tex]$1/3 + x^7$[/tex], [tex]$x^{-5} - y^{-4}$[/tex], [tex]$x^{-9} - y^{-1}$[/tex]

This is because there are no common factors that can be factored out of either term. All the other expressions have terms that can be simplified or combined. For example:

[tex]$1/3 + x^7$[/tex] cannot be simplified any further.

[tex]$x^{-9} - 1/y$[/tex] can be written as [tex]$x^{-9} - y^{-1}$[/tex], but it is not simpler than the original expression.

[tex]$1/(x^3) - 1/(y^4)$[/tex] can be combined into a single fraction with a common denominator: [tex]$(y^4 - x^3)/(x^3y^4)$[/tex].

[tex]$x^3 + 1/y - t^6$[/tex] can be simplified to [tex]$x^3 + 1/y - 1$[/tex].

[tex]$x^{-5} - y^{-4}$[/tex] cannot be simplified any further, as noted earlier.

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x*2+11 = 25

25 - 11 / 2 = x

14/2 = x

7 = x

x = 7

The equation representing the above statement is 2x + 11 = 25 and the value of the unknown number, x is 7.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let x be the unknown number.

The unknown number is first doubled, which is represented as 2x.

Then the doubled number is added to 11, which is represented as 2x + 11.

The resulting number is 25.

So, the equation representing the situation can be represented as,

2x + 11 = 25

Subtracting both sides by 11,

2x = 14

Dividing both sides by 2,

x = 7

Hence the value of the unknown number, x is 7.

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Answer:

For packages of 8: She will need 13 packages

For packages of 12: She will need 9 packages

Step-by-step explanation:

Number of barbecues sandwiches = 100 (given)

For packages of 8 we have, (100/8) = 12 (without the remainder)

We then add one extra package so that the 100 barbecue sandwiches are served.

So, for packages of 8, packages of barbecue buns = 12 + 1 = 13

For packages of 12 we have, (100/12) = 8 (without the remainder)

We then add one extra package so that the 100 barbecue sandwiches are served.

So, for packages of 12, packages of barbecue buns = 8 + 1 = 9

0.33 is the approximate experimental probability of landing on B or C.

The actual outcome of an experiment, which may differ from the theoretical probability, is known as experimental probability.

Consider an experiment where 100 coin flips are performed. Theoretically, the odds are 50% heads and 50% tails. Your experiment's true results might be 47 heads and 53 tails.

We have this table

outcome  A     B     C      D

frequency 20  11     14   30

The values in the bottom row add to 20+11+14+30 = 75, so that matches up with the fact that the spinner was spun 75 times. Of those 75 spins, 11+14 = 25 landed on either B or C.

So 25/75 = 0.33 is the approximate experimental probability of landing on B or C.

Answer: Choice A) 0.33

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Therefore, the sample size was approximately 1360 Americans.

In statistics, a sample is a subset of a larger population. It is a representative selection of individuals or objects taken from the population of interest to be studied. Samples are often used in statistical analysis because it is usually impractical or impossible to collect data from the entire population.

Here,

The survey states that 20% of American households own 2 pets, and the survey was conducted on 1000 Americans. Since we are trying to identify the sample size, we can use the formula:

sample proportion = x / n

where x is the number of households that own 2 pets, and n is the sample size.

We are given that 20% of the sample own 2 pets, so we can write:

0.20 = x / n

Multiplying both sides by n, we get:

n * 0.20 = x

Simplifying, we get:

n = x / 0.20

We don't know the value of x, but we can estimate it using the proportion of households that own 2 pets in the entire population. According to a study by the American Pet Products Association, about 68% of American households own at least one pet, and about 40% of pet-owning households own two or more pets. Assuming that these percentages hold true for the survey sample as well, we can estimate that:

x = 0.40 * 0.68 * 1000

= 272

Substituting this value into the equation above, we get:

n = 272 / 0.20

= 1360

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Step-by-step explanation:

Area of a rectangle = Height * width

     area =        5y     *      ( 7y-4)

                    = 35 y^2 - 20y   ( or  y ( 35y-20) )

Answer:

Step-by-step explanation:

3 3 more than x x " can be written as the algebraic expression x+ 3 x +3. But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Answer:

a < 12

Step-by-step explanation:

500 - 25a > 200

500 - 200 > 25a

300 > 25a

divide both sides by 25

300/25 > 25a/25

12 > a

therefore, a < 12

Answer:

1) A

2) D

3)  B

Step-by-step explanation:

Math

:)

Answer: A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.

Step-by-step explanation:

Answer:

its prob a

Step-by-step explanation:

I think for sure its A

ANS : 2√(3 × 43) + √(1254) - √(38)

Let's break down the expression step by step:

Expression: √(516) + √(1254) - √(38)

Step 1: Identify prime factors of each number in the Square roots.
- Prime factors of 516: 2^2 × 3 × 43
- Prime factors of 1254: 2 × 3^1 × 11 × 19
- Prime factors of 38: 2 × 19

Step 2: Simplify the square roots using prime factors.
- √(516) = √(2^2 × 3 × 43) = 2√(3 × 43)
- √(1254) = √(2 × 3 × 11 × 19) (This square root cannot be simplified further.)
- √(38) = √(2 × 19) (This square root cannot be simplified further.)

Step 3: Substitute simplified square roots back into the expression.
- 2√(3 × 43) + √(1254) - √(38)

Since we cannot simplify the square roots of 1254 and 38 further, and there are no common terms to combine, the given expression is already in its simplest form:

Answer: 2√(3 × 43) + √(1254) - √(38)

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In circulation is 6% cumulative preferred stock for ABC Corporation. ABC distributed a 6% preferred dividend two years ago. ABC distributed a 4% preferred stock dividend last year. The minimum payout to preferred stockholders is 8%.

As per the given information, ABC Company has outstanding 6% cumulative preferred stock. This means that the preferred shareholders are entitled to receive a dividend at a fixed rate of 6% every year before any dividend is paid to the common shareholders.

The term "cumulative" implies that any unpaid dividends from previous years must be paid before any dividends can be paid to the common shareholders.

Now, we are given that two years ago, ABC paid a 6% preferred dividend. This means that the preferred shareholders received their full dividend payment for that year.

ABC distributed a 4% preferred stock dividend last year. This means that the preferred shareholders did not receive their full dividend payment for that year, and there is an unpaid amount of 2% (6% - 4%) from the previous year.

Since the preferred stock is cumulative, the unpaid dividends from the previous year must be paid before any dividend is paid to the common shareholders. Therefore, this year, ABC must pay the preferred shareholders their full dividend of 6% for the current year, as well as the unpaid amount of 2% from the previous year, totalling 8%.

To summarize, this year, ABC must pay the preferred shareholders a dividend of 8% before any dividend is paid to the common shareholders.

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To calculate the monthly lease payment, we need to use the formula:

Monthly Payment = Depreciation + Finance Charge

The depreciation represents the portion of the car's value that is lost during the lease period, while the finance charge is the interest charged on the lease.

First, let's calculate the depreciation:

MSRP = $51,500

Residual Value = 49% of MSRP = 0.49 x $51,500 = $25,235

Depreciation = (Negotiated Price - Residual Value - Down Payment) / Lease Term

Depreciation = ($49,000 - $25,235 - $4,000) / 36 = $541.53

Next, let's calculate the finance charge:

Lease Balance = (Negotiated Price - Down Payment) - Residual Value

Lease Balance = ($49,000 - $4,000) - $25,235 = $19,765

Money Factor = Annual Interest Rate / 2400

Money Factor = 7.8% / 2400 = 0.00325

Finance Charge = Lease Balance x Money Factor

Finance Charge = $19,765 x 0.00325 = $64.26

Finally, we can calculate the monthly payment:

Monthly Payment = Depreciation + Finance Charge

Monthly Payment = $541.53 + $64.26 = $605.79

Therefore, the monthly lease payment is $605.79.

In linear equation,  85.60 deductible amount does the policy show.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                   Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are known as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

As you can see in the above table

Insurance for A =  Bodily injury + Property damage + Medical payments + Comprehensive  + Collision + Additional Coverages + Towing and labor + loss of use

= 115+49.5+18.2+38.9+250+250+2+20

= 743.6

Calculation for B :

As you can see in the above table

Insurance for B =  Bodily injury + Property damage + Medical payments + Comprehensive  + Collision + Additional Coverages + Towing and labor + loss of use

=  118.2 + 45.9+ 18.2 +42.3 + 250+250+ 2 +20

= 746.6

Calculations for C :

Total each vehicle:2015 sports  = A + extra passangers * Uninsurared motorised bodily injury

                                                  = 743.6 + 1*0 = 743.6

Calculations for D :

Total each vehicle:2018 minivan  = B + extra passengers * Uninsured motorized bodily injury

                                                  = 746.6 + 1*76.1 = 822.7

Calculations for E:

= C + D

= 743.6 + 822.7

= 1566.3

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As a result, the anticipated value in this circumstance is -$1,750, which probability suggests that if the architect decides to bid on the design of the new museum, she can expect to lose $1,750 on average.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.

0.15 x $45,000 = $6,750.

Consider the following scenario in which the architect is not granted the contract:

The likelihood of not winning the bid is 0.85.

In this case, the payback is -$10,000 (a negative value since the architect would lose the $10,000 cost of creating blueprints and presenting a model).

In this case, the anticipated value is:

0.85 x (-$10,000) = -$8,500.

We sum the anticipated values of both situations to determine the overall expected value:

$6,750 + (-$8,500) = -$1,750.

As a result, the anticipated value in this circumstance is -$1,750, which suggests that if the architect decides to bid on the design of the new museum, she can expect to lose $1,750 on average.

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Create an equation representing the total number of seats in vehicles for the orchestra members.x*25 + y*12 = 111 Create an equation representing the total number of licensed drivers.x + y = 6

The local orchestra has been invited to play at a festival, and they need to figure out how to transport the 111 members. We can create a system of equations to find the smallest number of busses the orchestra can rent. We need to create an equation representing the number of vehicles needed and one representing the total number of seats in vehicles for the orchestra members. We also need an equation representing the total number of licensed drivers. The equation for the number of vehicles needed is x + y = 6, where x is the number of busses and y is the number of vans. The equation for the total number of seats in vehicles is x*25 + y*12 = 111. Solving these equations will give us the smallest number of busses the orchestra can rent.

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The length of AC is 32.

A triangle is a geometric shape that consists of three straight sides and three angles. The three angles of a triangle always add up to 180 degrees. Triangles can be classified based on the length of their sides and the size of their angles.

Since the triangles ABC and DBE are similar, we have:

AB/DB = BC/BE

Substituting the given values, we get:

AB/12 = BC/(BE + 4)

We also have another similar ratio:

AD/DB = AC/BE

Substituting the given values, we get:

24/12 = AC/(BE + 4)

Simplifying this equation, we get:

AC = 2(BE + 4)

Substituting this expression for AC into the first equation, we get:

AB/12 = BC/(BE + 4)

AB/(2(BE + 4)) = BC/(BE + 4)

Simplifying this equation, we get:

AB/2 = BC

Now we have two equations:

AB/2 = BC

AC = 2(BE + 4)

Substituting these expressions into the ratio AD/DB = AC/BE, we get:

24/12 = 2(BE + 4)/(AB/2)

Simplifying this equation, we get:

AB = 48/(BE + 4) * (BE/2 + 2)

Substituting the given value DE = 4, we get:

AB = 48/(BE + 4) * (BE/2 + DE/2)

AB = 24 * BE/(BE + 4)

Now we can substitute this expression for AB into the equation AB/2 = BC to get:

24 * BE/(BE + 4) / 2 = BC

12 * BE/(BE + 4) = BC

Substituting this expression for BC into the equation AC = 2(BE + 4), we get:

AC = 2(BE + 4) = 2 * 16 * (BE + 4)/(BE + 4) = 32

Therefore, the length of AC is 32.

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